24.777 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.027 * * * [progress]: [2/2] Setting up program. 0.029 * [progress]: [Phase 2 of 3] Improving. 0.029 * [simplify]: Simplifying using # : (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.031 * * [simplify]: iteration 0 : 24 enodes (cost 8 ) 0.033 * * [simplify]: iteration 1 : 30 enodes (cost 8 ) 0.034 * * [simplify]: iteration 2 : 33 enodes (cost 8 ) 0.035 * * [simplify]: iteration 3 : 33 enodes (cost 8 ) 0.036 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.036 * * [progress]: iteration 1 / 4 0.036 * * * [progress]: picking best candidate 0.038 * * * * [pick]: Picked # 0.038 * * * [progress]: localizing error 0.051 * * * [progress]: generating rewritten candidates 0.051 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.054 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.070 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.082 * * * [progress]: generating series expansions 0.082 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.082 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.082 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.082 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.082 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.082 * [taylor]: Taking taylor expansion of re in im 0.082 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.082 * [taylor]: Taking taylor expansion of im in im 0.083 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.083 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.083 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.083 * [taylor]: Taking taylor expansion of re in re 0.083 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.083 * [taylor]: Taking taylor expansion of im in re 0.084 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.084 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.084 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.084 * [taylor]: Taking taylor expansion of re in re 0.084 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.084 * [taylor]: Taking taylor expansion of im in re 0.085 * [taylor]: Taking taylor expansion of im in im 0.085 * [taylor]: Taking taylor expansion of 0 in im 0.086 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.086 * [taylor]: Taking taylor expansion of 1/2 in im 0.086 * [taylor]: Taking taylor expansion of im in im 0.088 * [taylor]: Taking taylor expansion of 0 in im 0.089 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.089 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.089 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.089 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.089 * [taylor]: Taking taylor expansion of im in im 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.089 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.089 * [taylor]: Taking taylor expansion of re in im 0.091 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.091 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.091 * [taylor]: Taking taylor expansion of im in re 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.091 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.091 * [taylor]: Taking taylor expansion of re in re 0.094 * [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 0.094 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.094 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.094 * [taylor]: Taking taylor expansion of re in re 0.096 * [taylor]: Taking taylor expansion of 1 in im 0.096 * [taylor]: Taking taylor expansion of 0 in im 0.098 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.098 * [taylor]: Taking taylor expansion of 1/2 in im 0.098 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.098 * [taylor]: Taking taylor expansion of im in im 0.102 * [taylor]: Taking taylor expansion of 0 in im 0.103 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.103 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.103 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.103 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.103 * [taylor]: Taking taylor expansion of im in im 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.104 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.104 * [taylor]: Taking taylor expansion of re in im 0.106 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.106 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.106 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.106 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.106 * [taylor]: Taking taylor expansion of im in re 0.106 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.106 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.106 * [taylor]: Taking taylor expansion of re in re 0.108 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.108 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.108 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.108 * [taylor]: Taking taylor expansion of im in re 0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.108 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.108 * [taylor]: Taking taylor expansion of re in re 0.111 * [taylor]: Taking taylor expansion of 1 in im 0.111 * [taylor]: Taking taylor expansion of 0 in im 0.113 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.113 * [taylor]: Taking taylor expansion of 1/2 in im 0.113 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.113 * [taylor]: Taking taylor expansion of im in im 0.116 * [taylor]: Taking taylor expansion of 0 in im 0.117 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 0.117 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 0.117 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.117 * [taylor]: Taking taylor expansion of re in im 0.117 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.117 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.117 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.117 * [taylor]: Taking taylor expansion of re in im 0.117 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.117 * [taylor]: Taking taylor expansion of im in im 0.118 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.118 * [taylor]: Taking taylor expansion of re in re 0.118 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.118 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.118 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.118 * [taylor]: Taking taylor expansion of re in re 0.118 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.118 * [taylor]: Taking taylor expansion of im in re 0.118 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.118 * [taylor]: Taking taylor expansion of re in re 0.118 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.118 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.118 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.118 * [taylor]: Taking taylor expansion of re in re 0.118 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.118 * [taylor]: Taking taylor expansion of im in re 0.119 * [taylor]: Taking taylor expansion of im in im 0.119 * [taylor]: Taking taylor expansion of 1 in im 0.121 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.121 * [taylor]: Taking taylor expansion of 1/2 in im 0.121 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.121 * [taylor]: Taking taylor expansion of im in im 0.123 * [taylor]: Taking taylor expansion of 0 in im 0.129 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.129 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.129 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.129 * [taylor]: Taking taylor expansion of re in im 0.129 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.129 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.129 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.130 * [taylor]: Taking taylor expansion of im in im 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.130 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.130 * [taylor]: Taking taylor expansion of re in im 0.132 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.132 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.132 * [taylor]: Taking taylor expansion of re in re 0.132 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.132 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.132 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.132 * [taylor]: Taking taylor expansion of im in re 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.133 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.133 * [taylor]: Taking taylor expansion of re in re 0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.135 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.135 * [taylor]: Taking taylor expansion of re in re 0.135 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.135 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.135 * [taylor]: Taking taylor expansion of im in re 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.135 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.135 * [taylor]: Taking taylor expansion of re in re 0.138 * [taylor]: Taking taylor expansion of 2 in im 0.139 * [taylor]: Taking taylor expansion of 0 in im 0.141 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.141 * [taylor]: Taking taylor expansion of 1/2 in im 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.141 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.141 * [taylor]: Taking taylor expansion of im in im 0.145 * [taylor]: Taking taylor expansion of 0 in im 0.147 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.147 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.147 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.147 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.147 * [taylor]: Taking taylor expansion of im in im 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.148 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.148 * [taylor]: Taking taylor expansion of re in im 0.150 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.150 * [taylor]: Taking taylor expansion of re in im 0.150 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.150 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.150 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.150 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.150 * [taylor]: Taking taylor expansion of im in re 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.150 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.150 * [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 0.152 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.152 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.152 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.153 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.153 * [taylor]: Taking taylor expansion of im in re 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.153 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.153 * [taylor]: Taking taylor expansion of re in re 0.155 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.155 * [taylor]: Taking taylor expansion of re in re 0.156 * [taylor]: Taking taylor expansion of 0 in im 0.157 * [taylor]: Taking taylor expansion of 0 in im 0.159 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.159 * [taylor]: Taking taylor expansion of 1/2 in im 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.159 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.159 * [taylor]: Taking taylor expansion of im in im 0.164 * [taylor]: Taking taylor expansion of 0 in im 0.165 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.165 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in (re im) around 0 0.165 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 0.165 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.165 * [taylor]: Taking taylor expansion of 2.0 in im 0.166 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 0.166 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.166 * [taylor]: Taking taylor expansion of re in im 0.166 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.166 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.166 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.166 * [taylor]: Taking taylor expansion of re in im 0.166 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.166 * [taylor]: Taking taylor expansion of im in im 0.167 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.167 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.167 * [taylor]: Taking taylor expansion of 2.0 in re 0.168 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.168 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.168 * [taylor]: Taking taylor expansion of re in re 0.168 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.168 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.168 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.168 * [taylor]: Taking taylor expansion of re in re 0.168 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.168 * [taylor]: Taking taylor expansion of im in re 0.169 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.169 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.169 * [taylor]: Taking taylor expansion of 2.0 in re 0.170 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.170 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.170 * [taylor]: Taking taylor expansion of re in re 0.170 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.170 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.170 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.170 * [taylor]: Taking taylor expansion of re in re 0.170 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.170 * [taylor]: Taking taylor expansion of im in re 0.171 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.171 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.171 * [taylor]: Taking taylor expansion of 2.0 in im 0.172 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.172 * [taylor]: Taking taylor expansion of im in im 0.174 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.174 * [taylor]: Taking taylor expansion of 1/2 in im 0.174 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.174 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.174 * [taylor]: Taking taylor expansion of 2.0 in im 0.174 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.174 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.174 * [taylor]: Taking taylor expansion of im in im 0.186 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.186 * [taylor]: Taking taylor expansion of 1/8 in im 0.186 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.186 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.186 * [taylor]: Taking taylor expansion of 2.0 in im 0.186 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.186 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.186 * [taylor]: Taking taylor expansion of im in im 0.201 * [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 0.201 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.201 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.201 * [taylor]: Taking taylor expansion of 2.0 in im 0.202 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.202 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.202 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.202 * [taylor]: Taking taylor expansion of re in im 0.202 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.202 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.202 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.202 * [taylor]: Taking taylor expansion of im in im 0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.203 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.203 * [taylor]: Taking taylor expansion of re in im 0.206 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.206 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.206 * [taylor]: Taking taylor expansion of 2.0 in re 0.207 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.207 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.207 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.207 * [taylor]: Taking taylor expansion of re in re 0.207 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.207 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.207 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.207 * [taylor]: Taking taylor expansion of im in re 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.207 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.207 * [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 0.217 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.217 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.217 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.217 * [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 0.228 * [taylor]: Taking taylor expansion of +nan.0 in im 0.228 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.228 * [taylor]: Taking taylor expansion of 2.0 in im 0.236 * [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))) (- (* +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 0.248 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.248 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.248 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.248 * [taylor]: Taking taylor expansion of +nan.0 in im 0.248 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.248 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.248 * [taylor]: Taking taylor expansion of 2.0 in im 0.249 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.249 * [taylor]: Taking taylor expansion of im in im 0.250 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.250 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.250 * [taylor]: Taking taylor expansion of +nan.0 in im 0.250 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.250 * [taylor]: Taking taylor expansion of 2.0 in im 0.262 * [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 0.262 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.262 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.263 * [taylor]: Taking taylor expansion of 2.0 in im 0.263 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.263 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.263 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.263 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.263 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.263 * [taylor]: Taking taylor expansion of im in im 0.264 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.264 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.264 * [taylor]: Taking taylor expansion of re in im 0.266 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.266 * [taylor]: Taking taylor expansion of re in im 0.267 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.267 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.267 * [taylor]: Taking taylor expansion of 2.0 in re 0.268 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.268 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.268 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.268 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.268 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.268 * [taylor]: Taking taylor expansion of im in re 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.268 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.268 * [taylor]: Taking taylor expansion of re in re 0.270 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.270 * [taylor]: Taking taylor expansion of re in re 0.275 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.275 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.275 * [taylor]: Taking taylor expansion of 2.0 in re 0.276 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.276 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.276 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.276 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.276 * [taylor]: Taking taylor expansion of im in re 0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.276 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.276 * [taylor]: Taking taylor expansion of re in re 0.278 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.279 * [taylor]: Taking taylor expansion of re in re 0.284 * [taylor]: Taking taylor expansion of 0 in im 0.284 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.284 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.284 * [taylor]: Taking taylor expansion of +nan.0 in im 0.284 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.284 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.284 * [taylor]: Taking taylor expansion of 2.0 in im 0.285 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.285 * [taylor]: Taking taylor expansion of im in im 0.292 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.292 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.292 * [taylor]: Taking taylor expansion of +nan.0 in im 0.292 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.292 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.292 * [taylor]: Taking taylor expansion of 2.0 in im 0.293 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.293 * [taylor]: Taking taylor expansion of im in im 0.314 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.314 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.314 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.314 * [taylor]: Taking taylor expansion of +nan.0 in im 0.314 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.314 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.314 * [taylor]: Taking taylor expansion of 2.0 in im 0.315 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.315 * [taylor]: Taking taylor expansion of im in im 0.316 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.316 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) 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 6)) 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 6) in im 0.317 * [taylor]: Taking taylor expansion of im in im 0.339 * * * [progress]: simplifying candidates 0.340 * [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 0.344 * * [simplify]: iteration 0 : 264 enodes (cost 372 ) 0.349 * * [simplify]: iteration 1 : 830 enodes (cost 337 ) 0.363 * * [simplify]: iteration 2 : 2660 enodes (cost 322 ) 0.410 * * [simplify]: iteration 3 : 5002 enodes (cost 320 ) 0.412 * [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 0.412 * * * [progress]: adding candidates to table 0.595 * * [progress]: iteration 2 / 4 0.595 * * * [progress]: picking best candidate 0.605 * * * * [pick]: Picked # 0.605 * * * [progress]: localizing error 0.614 * * * [progress]: generating rewritten candidates 0.614 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 2 2) 0.617 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.632 * * * [progress]: generating series expansions 0.632 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 2 2) 0.632 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 0.632 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.632 * [taylor]: Taking taylor expansion of re in im 0.632 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.632 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.633 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.633 * [taylor]: Taking taylor expansion of (* re re) in im 0.633 * [taylor]: Taking taylor expansion of re in im 0.633 * [taylor]: Taking taylor expansion of re in im 0.633 * [taylor]: Taking taylor expansion of (* im im) in im 0.633 * [taylor]: Taking taylor expansion of im in im 0.633 * [taylor]: Taking taylor expansion of im in im 0.634 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.634 * [taylor]: Taking taylor expansion of re in re 0.634 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.634 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.634 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.634 * [taylor]: Taking taylor expansion of (* re re) in re 0.634 * [taylor]: Taking taylor expansion of re in re 0.634 * [taylor]: Taking taylor expansion of re in re 0.634 * [taylor]: Taking taylor expansion of (* im im) in re 0.634 * [taylor]: Taking taylor expansion of im in re 0.634 * [taylor]: Taking taylor expansion of im in re 0.636 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.636 * [taylor]: Taking taylor expansion of re in re 0.636 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.636 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.636 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.636 * [taylor]: Taking taylor expansion of (* re re) in re 0.636 * [taylor]: Taking taylor expansion of re in re 0.636 * [taylor]: Taking taylor expansion of re in re 0.636 * [taylor]: Taking taylor expansion of (* im im) in re 0.636 * [taylor]: Taking taylor expansion of im in re 0.636 * [taylor]: Taking taylor expansion of im in re 0.637 * [taylor]: Taking taylor expansion of im in im 0.637 * [taylor]: Taking taylor expansion of 1 in im 0.639 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.639 * [taylor]: Taking taylor expansion of 1/2 in im 0.639 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.639 * [taylor]: Taking taylor expansion of im in im 0.641 * [taylor]: Taking taylor expansion of 0 in im 0.643 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 0.643 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.643 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.643 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.643 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.643 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.643 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.643 * [taylor]: Taking taylor expansion of re in im 0.643 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.643 * [taylor]: Taking taylor expansion of re in im 0.643 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.643 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.643 * [taylor]: Taking taylor expansion of im in im 0.643 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.643 * [taylor]: Taking taylor expansion of im in im 0.646 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.646 * [taylor]: Taking taylor expansion of re in im 0.646 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.646 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.646 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.646 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.646 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.646 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.646 * [taylor]: Taking taylor expansion of re in re 0.646 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.647 * [taylor]: Taking taylor expansion of re in re 0.647 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.647 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.647 * [taylor]: Taking taylor expansion of im in re 0.647 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.647 * [taylor]: Taking taylor expansion of im in re 0.649 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.649 * [taylor]: Taking taylor expansion of re in re 0.650 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.650 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.650 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.650 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.650 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.650 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.650 * [taylor]: Taking taylor expansion of re in re 0.650 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.650 * [taylor]: Taking taylor expansion of re in re 0.650 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.650 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.650 * [taylor]: Taking taylor expansion of im in re 0.650 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.650 * [taylor]: Taking taylor expansion of im in re 0.653 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.653 * [taylor]: Taking taylor expansion of re in re 0.653 * [taylor]: Taking taylor expansion of 2 in im 0.654 * [taylor]: Taking taylor expansion of 0 in im 0.657 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.657 * [taylor]: Taking taylor expansion of 1/2 in im 0.657 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.657 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.657 * [taylor]: Taking taylor expansion of im in im 0.662 * [taylor]: Taking taylor expansion of 0 in im 0.663 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 0.664 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.664 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.664 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.664 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.664 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.664 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.664 * [taylor]: Taking taylor expansion of -1 in im 0.664 * [taylor]: Taking taylor expansion of re in im 0.664 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.664 * [taylor]: Taking taylor expansion of -1 in im 0.664 * [taylor]: Taking taylor expansion of re in im 0.664 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.664 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.664 * [taylor]: Taking taylor expansion of -1 in im 0.664 * [taylor]: Taking taylor expansion of im in im 0.664 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.664 * [taylor]: Taking taylor expansion of -1 in im 0.664 * [taylor]: Taking taylor expansion of im in im 0.667 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.667 * [taylor]: Taking taylor expansion of re in im 0.667 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.667 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.667 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.667 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.667 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.667 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.667 * [taylor]: Taking taylor expansion of -1 in re 0.667 * [taylor]: Taking taylor expansion of re in re 0.668 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.668 * [taylor]: Taking taylor expansion of -1 in re 0.668 * [taylor]: Taking taylor expansion of re in re 0.668 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.668 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.668 * [taylor]: Taking taylor expansion of -1 in re 0.668 * [taylor]: Taking taylor expansion of im in re 0.668 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.668 * [taylor]: Taking taylor expansion of -1 in re 0.668 * [taylor]: Taking taylor expansion of im in re 0.671 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.671 * [taylor]: Taking taylor expansion of re in re 0.671 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.671 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.671 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.671 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.671 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.671 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.671 * [taylor]: Taking taylor expansion of -1 in re 0.671 * [taylor]: Taking taylor expansion of re in re 0.671 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.671 * [taylor]: Taking taylor expansion of -1 in re 0.671 * [taylor]: Taking taylor expansion of re in re 0.672 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.672 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.672 * [taylor]: Taking taylor expansion of -1 in re 0.672 * [taylor]: Taking taylor expansion of im in re 0.672 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.672 * [taylor]: Taking taylor expansion of -1 in re 0.672 * [taylor]: Taking taylor expansion of im in re 0.675 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.675 * [taylor]: Taking taylor expansion of re in re 0.676 * [taylor]: Taking taylor expansion of 0 in im 0.676 * [taylor]: Taking taylor expansion of 0 in im 0.680 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.680 * [taylor]: Taking taylor expansion of 1/2 in im 0.680 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.680 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.680 * [taylor]: Taking taylor expansion of im in im 0.685 * [taylor]: Taking taylor expansion of 0 in im 0.687 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.687 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0 0.687 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im 0.687 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 0.687 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.687 * [taylor]: Taking taylor expansion of re in im 0.687 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.687 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.687 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.687 * [taylor]: Taking taylor expansion of (* re re) in im 0.687 * [taylor]: Taking taylor expansion of re in im 0.687 * [taylor]: Taking taylor expansion of re in im 0.687 * [taylor]: Taking taylor expansion of (* im im) in im 0.687 * [taylor]: Taking taylor expansion of im in im 0.687 * [taylor]: Taking taylor expansion of im in im 0.689 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.689 * [taylor]: Taking taylor expansion of 2.0 in im 0.689 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 0.689 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 0.689 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.689 * [taylor]: Taking taylor expansion of re in re 0.689 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.689 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.689 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.689 * [taylor]: Taking taylor expansion of (* re re) in re 0.689 * [taylor]: Taking taylor expansion of re in re 0.689 * [taylor]: Taking taylor expansion of re in re 0.690 * [taylor]: Taking taylor expansion of (* im im) in re 0.690 * [taylor]: Taking taylor expansion of im in re 0.690 * [taylor]: Taking taylor expansion of im in re 0.691 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.691 * [taylor]: Taking taylor expansion of 2.0 in re 0.692 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 0.692 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 0.692 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.692 * [taylor]: Taking taylor expansion of re in re 0.692 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.692 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.692 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.692 * [taylor]: Taking taylor expansion of (* re re) in re 0.692 * [taylor]: Taking taylor expansion of re in re 0.692 * [taylor]: Taking taylor expansion of re in re 0.692 * [taylor]: Taking taylor expansion of (* im im) in re 0.692 * [taylor]: Taking taylor expansion of im in re 0.692 * [taylor]: Taking taylor expansion of im in re 0.693 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.693 * [taylor]: Taking taylor expansion of 2.0 in re 0.694 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.694 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.694 * [taylor]: Taking taylor expansion of 2.0 in im 0.695 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.695 * [taylor]: Taking taylor expansion of im in im 0.697 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.697 * [taylor]: Taking taylor expansion of 1/2 in im 0.697 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.697 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.697 * [taylor]: Taking taylor expansion of 2.0 in im 0.698 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.698 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.698 * [taylor]: Taking taylor expansion of im in im 0.714 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.714 * [taylor]: Taking taylor expansion of 1/8 in im 0.714 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.714 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.714 * [taylor]: Taking taylor expansion of 2.0 in im 0.715 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.715 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.715 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.715 * [taylor]: Taking taylor expansion of im in im 0.730 * [approximate]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 0.731 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im 0.731 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 0.731 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.731 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.731 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.731 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.731 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.731 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.731 * [taylor]: Taking taylor expansion of re in im 0.731 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.731 * [taylor]: Taking taylor expansion of re in im 0.731 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.731 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.731 * [taylor]: Taking taylor expansion of im in im 0.731 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.731 * [taylor]: Taking taylor expansion of im in im 0.734 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.734 * [taylor]: Taking taylor expansion of re in im 0.735 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.735 * [taylor]: Taking taylor expansion of 2.0 in im 0.736 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 0.736 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 0.736 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.736 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.736 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.736 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.736 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.736 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.736 * [taylor]: Taking taylor expansion of re in re 0.737 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.737 * [taylor]: Taking taylor expansion of re in re 0.737 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.737 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.737 * [taylor]: Taking taylor expansion of im in re 0.737 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.737 * [taylor]: Taking taylor expansion of im in re 0.739 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.739 * [taylor]: Taking taylor expansion of re in re 0.741 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.741 * [taylor]: Taking taylor expansion of 2.0 in re 0.742 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 0.742 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 0.742 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.742 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.742 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.742 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.742 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.742 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.742 * [taylor]: Taking taylor expansion of re in re 0.742 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.742 * [taylor]: Taking taylor expansion of re in re 0.742 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.742 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.742 * [taylor]: Taking taylor expansion of im in re 0.743 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.743 * [taylor]: Taking taylor expansion of im in re 0.745 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.745 * [taylor]: Taking taylor expansion of re in re 0.747 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.747 * [taylor]: Taking taylor expansion of 2.0 in re 0.748 * [taylor]: Taking taylor expansion of 0 in im 0.749 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.749 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.749 * [taylor]: Taking taylor expansion of +nan.0 in im 0.749 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.749 * [taylor]: Taking taylor expansion of 2.0 in im 0.755 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.755 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.755 * [taylor]: Taking taylor expansion of +nan.0 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 0.764 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.764 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.764 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.764 * [taylor]: Taking taylor expansion of +nan.0 in im 0.764 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.764 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.764 * [taylor]: Taking taylor expansion of 2.0 in im 0.765 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.765 * [taylor]: Taking taylor expansion of im in im 0.766 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.766 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.766 * [taylor]: Taking taylor expansion of +nan.0 in im 0.766 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.766 * [taylor]: Taking taylor expansion of 2.0 in im 0.778 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.778 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.778 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.778 * [taylor]: Taking taylor expansion of +nan.0 in im 0.778 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.778 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.778 * [taylor]: Taking taylor expansion of 2.0 in im 0.778 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.778 * [taylor]: Taking taylor expansion of im in im 0.779 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.779 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.779 * [taylor]: Taking taylor expansion of +nan.0 in im 0.779 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.779 * [taylor]: Taking taylor expansion of 2.0 in im 0.792 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 0.792 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 0.792 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.792 * [taylor]: Taking taylor expansion of 2.0 in im 0.793 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 0.793 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.793 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.793 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.793 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.793 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.793 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.793 * [taylor]: Taking taylor expansion of -1 in im 0.793 * [taylor]: Taking taylor expansion of re in im 0.793 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.793 * [taylor]: Taking taylor expansion of -1 in im 0.793 * [taylor]: Taking taylor expansion of re in im 0.793 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.793 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.793 * [taylor]: Taking taylor expansion of -1 in im 0.793 * [taylor]: Taking taylor expansion of im in im 0.794 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.794 * [taylor]: Taking taylor expansion of -1 in im 0.794 * [taylor]: Taking taylor expansion of im in im 0.803 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.803 * [taylor]: Taking taylor expansion of re in im 0.804 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.804 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.804 * [taylor]: Taking taylor expansion of 2.0 in re 0.805 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.805 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.805 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.805 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.805 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.805 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.805 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.805 * [taylor]: Taking taylor expansion of -1 in re 0.805 * [taylor]: Taking taylor expansion of re in re 0.806 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.806 * [taylor]: Taking taylor expansion of -1 in re 0.806 * [taylor]: Taking taylor expansion of re in re 0.806 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.806 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.806 * [taylor]: Taking taylor expansion of -1 in re 0.806 * [taylor]: Taking taylor expansion of im in re 0.806 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.806 * [taylor]: Taking taylor expansion of -1 in re 0.806 * [taylor]: Taking taylor expansion of im in re 0.809 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.809 * [taylor]: Taking taylor expansion of re in re 0.814 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.814 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.814 * [taylor]: Taking taylor expansion of 2.0 in re 0.815 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.815 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.815 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.815 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.815 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.815 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.815 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.815 * [taylor]: Taking taylor expansion of -1 in re 0.815 * [taylor]: Taking taylor expansion of re in re 0.816 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.816 * [taylor]: Taking taylor expansion of -1 in re 0.816 * [taylor]: Taking taylor expansion of re in re 0.816 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.816 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.816 * [taylor]: Taking taylor expansion of -1 in re 0.816 * [taylor]: Taking taylor expansion of im in re 0.816 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.816 * [taylor]: Taking taylor expansion of -1 in re 0.816 * [taylor]: Taking taylor expansion of im in re 0.819 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.819 * [taylor]: Taking taylor expansion of re in re 0.825 * [taylor]: Taking taylor expansion of 0 in im 0.825 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.825 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.825 * [taylor]: Taking taylor expansion of +nan.0 in im 0.825 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.826 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.826 * [taylor]: Taking taylor expansion of 2.0 in im 0.826 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.826 * [taylor]: Taking taylor expansion of im in im 0.834 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.834 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.834 * [taylor]: Taking taylor expansion of +nan.0 in im 0.834 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.834 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.834 * [taylor]: Taking taylor expansion of 2.0 in im 0.835 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.835 * [taylor]: Taking taylor expansion of im in im 0.851 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.851 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.851 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.851 * [taylor]: Taking taylor expansion of +nan.0 in im 0.851 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.851 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.851 * [taylor]: Taking taylor expansion of 2.0 in im 0.852 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.852 * [taylor]: Taking taylor expansion of im in im 0.853 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.853 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.853 * [taylor]: Taking taylor expansion of +nan.0 in im 0.853 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.853 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.853 * [taylor]: Taking taylor expansion of 2.0 in im 0.853 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.853 * [taylor]: Taking taylor expansion of im in im 0.876 * * * [progress]: simplifying candidates 0.877 * [simplify]: Simplifying using # : (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (* (exp re) (exp (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (* (* (+ re (hypot re im)) (+ re (hypot re im))) (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im)))) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (expm1 (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (log1p (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (log (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (exp (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (* (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (* (* (sqrt (* 2.0 (* 1 (+ re (hypot re im))))) (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt 2.0) (sqrt (* 1 (+ re (hypot re im)))) (sqrt (* 2.0 (* 1 (+ (pow re 3) (pow (hypot re im) 3))))) (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))) (sqrt (* 2.0 (* 1 (- (* re re) (* (hypot re im) (hypot re im)))))) (sqrt (- re (hypot re im))) (/ 1 2) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (+ 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 0.886 * * [simplify]: iteration 0 : 194 enodes (cost 185 ) 0.891 * * [simplify]: iteration 1 : 791 enodes (cost 167 ) 0.905 * * [simplify]: iteration 2 : 3233 enodes (cost 161 ) 0.963 * * [simplify]: iteration 3 : 5001 enodes (cost 161 ) 0.964 * [simplify]: Simplified to: (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (exp (+ re (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (pow (+ re (hypot re im)) 3) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (fma (hypot re im) (- (hypot re im) re) (pow re 2)) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (expm1 (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (log1p (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (log (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (exp (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (* (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (pow (sqrt (* 2.0 (* 1 (+ re (hypot re im))))) 3) (sqrt 2.0) (sqrt (+ re (hypot re im))) (sqrt (* 2.0 (* 1 (+ (pow re 3) (pow (hypot re im) 3))))) (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))) (sqrt (* 2.0 (* 1 (- (* re re) (* (hypot re im) (hypot re im)))))) (sqrt (- re (hypot re im))) 1/2 1/2 1/2 (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (+ re im) (* 2 re) 0 (* (* +nan.0 (sqrt 2.0)) (+ (- (pow re 2)) (- im re))) (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) 0 0.964 * * * [progress]: adding candidates to table 1.066 * * [progress]: iteration 3 / 4 1.066 * * * [progress]: picking best candidate 1.083 * * * * [pick]: Picked # 1.084 * * * [progress]: localizing error 1.094 * * * [progress]: generating rewritten candidates 1.094 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.174 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 1 2 2) 1.177 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 2 2) 1.179 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 1.197 * * * [progress]: generating series expansions 1.198 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.198 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0 1.198 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im 1.198 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 1.198 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.198 * [taylor]: Taking taylor expansion of re in im 1.198 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.198 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.198 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.198 * [taylor]: Taking taylor expansion of (* re re) in im 1.198 * [taylor]: Taking taylor expansion of re in im 1.198 * [taylor]: Taking taylor expansion of re in im 1.198 * [taylor]: Taking taylor expansion of (* im im) in im 1.198 * [taylor]: Taking taylor expansion of im in im 1.198 * [taylor]: Taking taylor expansion of im in im 1.200 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.200 * [taylor]: Taking taylor expansion of 2.0 in im 1.201 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 1.201 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 1.201 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.201 * [taylor]: Taking taylor expansion of re in re 1.201 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.201 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.201 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.201 * [taylor]: Taking taylor expansion of (* re re) in re 1.201 * [taylor]: Taking taylor expansion of re in re 1.201 * [taylor]: Taking taylor expansion of re in re 1.201 * [taylor]: Taking taylor expansion of (* im im) in re 1.201 * [taylor]: Taking taylor expansion of im in re 1.201 * [taylor]: Taking taylor expansion of im in re 1.203 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.203 * [taylor]: Taking taylor expansion of 2.0 in re 1.203 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 1.203 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 1.203 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.203 * [taylor]: Taking taylor expansion of re in re 1.203 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.204 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.204 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.204 * [taylor]: Taking taylor expansion of (* re re) in re 1.204 * [taylor]: Taking taylor expansion of re in re 1.204 * [taylor]: Taking taylor expansion of re in re 1.204 * [taylor]: Taking taylor expansion of (* im im) in re 1.204 * [taylor]: Taking taylor expansion of im in re 1.204 * [taylor]: Taking taylor expansion of im in re 1.205 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.205 * [taylor]: Taking taylor expansion of 2.0 in re 1.206 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 1.206 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.206 * [taylor]: Taking taylor expansion of 2.0 in im 1.207 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.207 * [taylor]: Taking taylor expansion of im in im 1.209 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 1.209 * [taylor]: Taking taylor expansion of 1/2 in im 1.209 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 1.209 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.209 * [taylor]: Taking taylor expansion of 2.0 in im 1.210 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.210 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.210 * [taylor]: Taking taylor expansion of im in im 1.221 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 1.221 * [taylor]: Taking taylor expansion of 1/8 in im 1.221 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 1.221 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.221 * [taylor]: Taking taylor expansion of 2.0 in im 1.222 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 1.222 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 1.222 * [taylor]: Taking taylor expansion of (pow im 3) in im 1.222 * [taylor]: Taking taylor expansion of im in im 1.242 * [approximate]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 1.243 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im 1.243 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 1.243 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.243 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.243 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.243 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.243 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.243 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.243 * [taylor]: Taking taylor expansion of re in im 1.243 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.243 * [taylor]: Taking taylor expansion of re in im 1.243 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.243 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.243 * [taylor]: Taking taylor expansion of im in im 1.243 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.243 * [taylor]: Taking taylor expansion of im in im 1.246 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.246 * [taylor]: Taking taylor expansion of re in im 1.247 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.247 * [taylor]: Taking taylor expansion of 2.0 in im 1.248 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 1.248 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.248 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.248 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.248 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.248 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.248 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.248 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.248 * [taylor]: Taking taylor expansion of re in re 1.249 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.249 * [taylor]: Taking taylor expansion of re in re 1.249 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.249 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.249 * [taylor]: Taking taylor expansion of im in re 1.249 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.249 * [taylor]: Taking taylor expansion of im in re 1.251 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.251 * [taylor]: Taking taylor expansion of re in re 1.253 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.253 * [taylor]: Taking taylor expansion of 2.0 in re 1.254 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 1.254 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.254 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.254 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.254 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.254 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.254 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.254 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.254 * [taylor]: Taking taylor expansion of re in re 1.254 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.254 * [taylor]: Taking taylor expansion of re in re 1.254 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.254 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.254 * [taylor]: Taking taylor expansion of im in re 1.254 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.254 * [taylor]: Taking taylor expansion of im in re 1.257 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.257 * [taylor]: Taking taylor expansion of re in re 1.258 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.258 * [taylor]: Taking taylor expansion of 2.0 in re 1.259 * [taylor]: Taking taylor expansion of 0 in im 1.261 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.261 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.261 * [taylor]: Taking taylor expansion of +nan.0 in im 1.261 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.261 * [taylor]: Taking taylor expansion of 2.0 in im 1.267 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.267 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.267 * [taylor]: Taking taylor expansion of +nan.0 in im 1.267 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.267 * [taylor]: Taking taylor expansion of 2.0 in im 1.276 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 1.276 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 1.276 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.276 * [taylor]: Taking taylor expansion of +nan.0 in im 1.276 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.276 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.276 * [taylor]: Taking taylor expansion of 2.0 in im 1.277 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.277 * [taylor]: Taking taylor expansion of im in im 1.278 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.278 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.278 * [taylor]: Taking taylor expansion of +nan.0 in im 1.278 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.278 * [taylor]: Taking taylor expansion of 2.0 in im 1.290 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 1.290 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 1.290 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.290 * [taylor]: Taking taylor expansion of +nan.0 in im 1.290 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.290 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.290 * [taylor]: Taking taylor expansion of 2.0 in im 1.291 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.291 * [taylor]: Taking taylor expansion of im in im 1.291 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.291 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.291 * [taylor]: Taking taylor expansion of +nan.0 in im 1.291 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.291 * [taylor]: Taking taylor expansion of 2.0 in im 1.304 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 1.304 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 1.304 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.304 * [taylor]: Taking taylor expansion of 2.0 in im 1.305 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 1.305 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.305 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 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 im 1.305 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.305 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.305 * [taylor]: Taking taylor expansion of -1 in im 1.305 * [taylor]: Taking taylor expansion of re in im 1.305 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.305 * [taylor]: Taking taylor expansion of -1 in im 1.305 * [taylor]: Taking taylor expansion of re in im 1.305 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.305 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.305 * [taylor]: Taking taylor expansion of -1 in im 1.306 * [taylor]: Taking taylor expansion of im in im 1.306 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.306 * [taylor]: Taking taylor expansion of -1 in im 1.306 * [taylor]: Taking taylor expansion of im in im 1.309 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.309 * [taylor]: Taking taylor expansion of re in im 1.310 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 1.310 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.310 * [taylor]: Taking taylor expansion of 2.0 in re 1.311 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.311 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.311 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.311 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.311 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.311 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.311 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.311 * [taylor]: Taking taylor expansion of -1 in re 1.311 * [taylor]: Taking taylor expansion of re in re 1.312 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.312 * [taylor]: Taking taylor expansion of -1 in re 1.312 * [taylor]: Taking taylor expansion of re in re 1.312 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.312 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.312 * [taylor]: Taking taylor expansion of -1 in re 1.312 * [taylor]: Taking taylor expansion of im in re 1.312 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.312 * [taylor]: Taking taylor expansion of -1 in re 1.312 * [taylor]: Taking taylor expansion of im in re 1.315 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.315 * [taylor]: Taking taylor expansion of re in re 1.326 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 1.326 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.326 * [taylor]: Taking taylor expansion of 2.0 in re 1.327 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 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 1.330 * [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 (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 1.337 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.337 * [taylor]: Taking taylor expansion of +nan.0 in im 1.337 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.337 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.337 * [taylor]: Taking taylor expansion of 2.0 in im 1.338 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.338 * [taylor]: Taking taylor expansion of im in im 1.346 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 1.346 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.346 * [taylor]: Taking taylor expansion of +nan.0 in im 1.346 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.346 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.346 * [taylor]: Taking taylor expansion of 2.0 in im 1.346 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.346 * [taylor]: Taking taylor expansion of im in im 1.362 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 1.363 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 1.363 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.363 * [taylor]: Taking taylor expansion of +nan.0 in im 1.363 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.363 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.363 * [taylor]: Taking taylor expansion of 2.0 in im 1.363 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.363 * [taylor]: Taking taylor expansion of im in im 1.364 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 1.364 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 1.364 * [taylor]: Taking taylor expansion of +nan.0 in im 1.364 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 1.364 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.364 * [taylor]: Taking taylor expansion of 2.0 in im 1.365 * [taylor]: Taking taylor expansion of (pow im 6) in im 1.365 * [taylor]: Taking taylor expansion of im in im 1.387 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 1 2 2) 1.387 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 1.387 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.387 * [taylor]: Taking taylor expansion of re in im 1.387 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.387 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.387 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.388 * [taylor]: Taking taylor expansion of (* re re) in im 1.388 * [taylor]: Taking taylor expansion of re in im 1.388 * [taylor]: Taking taylor expansion of re in im 1.388 * [taylor]: Taking taylor expansion of (* im im) in im 1.388 * [taylor]: Taking taylor expansion of im in im 1.388 * [taylor]: Taking taylor expansion of im in im 1.389 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.389 * [taylor]: Taking taylor expansion of re in re 1.389 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.389 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.389 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.389 * [taylor]: Taking taylor expansion of (* re re) in re 1.389 * [taylor]: Taking taylor expansion of re in re 1.389 * [taylor]: Taking taylor expansion of re in re 1.389 * [taylor]: Taking taylor expansion of (* im im) in re 1.389 * [taylor]: Taking taylor expansion of im in re 1.389 * [taylor]: Taking taylor expansion of im in re 1.390 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.390 * [taylor]: Taking taylor expansion of re in re 1.390 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.390 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.390 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.390 * [taylor]: Taking taylor expansion of (* re re) in re 1.390 * [taylor]: Taking taylor expansion of re in re 1.390 * [taylor]: Taking taylor expansion of re in re 1.390 * [taylor]: Taking taylor expansion of (* im im) in re 1.390 * [taylor]: Taking taylor expansion of im in re 1.390 * [taylor]: Taking taylor expansion of im in re 1.392 * [taylor]: Taking taylor expansion of im in im 1.392 * [taylor]: Taking taylor expansion of 1 in im 1.393 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.393 * [taylor]: Taking taylor expansion of 1/2 in im 1.393 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.393 * [taylor]: Taking taylor expansion of im in im 1.396 * [taylor]: Taking taylor expansion of 0 in im 1.397 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 1.397 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.397 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.397 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.397 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.397 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.397 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.397 * [taylor]: Taking taylor expansion of re in im 1.397 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.397 * [taylor]: Taking taylor expansion of re in im 1.397 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.397 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.397 * [taylor]: Taking taylor expansion of im in im 1.398 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.398 * [taylor]: Taking taylor expansion of im in im 1.400 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.401 * [taylor]: Taking taylor expansion of re in im 1.401 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.401 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.401 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.401 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.401 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.401 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.401 * [taylor]: Taking taylor expansion of re in re 1.401 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.401 * [taylor]: Taking taylor expansion of re in re 1.401 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.401 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.401 * [taylor]: Taking taylor expansion of im in re 1.401 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.401 * [taylor]: Taking taylor expansion of im in re 1.410 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.410 * [taylor]: Taking taylor expansion of re in re 1.411 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.411 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.411 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.411 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.411 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.411 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.411 * [taylor]: Taking taylor expansion of re in re 1.411 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.411 * [taylor]: Taking taylor expansion of re in re 1.412 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.412 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.412 * [taylor]: Taking taylor expansion of im in re 1.412 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.412 * [taylor]: Taking taylor expansion of im in re 1.414 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.414 * [taylor]: Taking taylor expansion of re in re 1.415 * [taylor]: Taking taylor expansion of 2 in im 1.416 * [taylor]: Taking taylor expansion of 0 in im 1.419 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.419 * [taylor]: Taking taylor expansion of 1/2 in im 1.419 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.419 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.419 * [taylor]: Taking taylor expansion of im in im 1.423 * [taylor]: Taking taylor expansion of 0 in im 1.425 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 1.425 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.425 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.425 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.425 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.425 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.425 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.425 * [taylor]: Taking taylor expansion of -1 in im 1.425 * [taylor]: Taking taylor expansion of re in im 1.425 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.425 * [taylor]: Taking taylor expansion of -1 in im 1.425 * [taylor]: Taking taylor expansion of re in im 1.425 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.425 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.425 * [taylor]: Taking taylor expansion of -1 in im 1.425 * [taylor]: Taking taylor expansion of im in im 1.426 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.426 * [taylor]: Taking taylor expansion of -1 in im 1.426 * [taylor]: Taking taylor expansion of im in im 1.429 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.429 * [taylor]: Taking taylor expansion of re in im 1.429 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.429 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.429 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.429 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.429 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.429 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.429 * [taylor]: Taking taylor expansion of -1 in re 1.429 * [taylor]: Taking taylor expansion of re in re 1.429 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.429 * [taylor]: Taking taylor expansion of -1 in re 1.429 * [taylor]: Taking taylor expansion of re in re 1.430 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.430 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.430 * [taylor]: Taking taylor expansion of -1 in re 1.430 * [taylor]: Taking taylor expansion of im in re 1.430 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.430 * [taylor]: Taking taylor expansion of -1 in re 1.430 * [taylor]: Taking taylor expansion of im in re 1.432 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.432 * [taylor]: Taking taylor expansion of re in re 1.433 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.433 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.433 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.433 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.433 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.433 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.433 * [taylor]: Taking taylor expansion of -1 in re 1.433 * [taylor]: Taking taylor expansion of re in re 1.433 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.433 * [taylor]: Taking taylor expansion of -1 in re 1.433 * [taylor]: Taking taylor expansion of re in re 1.433 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.433 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.433 * [taylor]: Taking taylor expansion of -1 in re 1.433 * [taylor]: Taking taylor expansion of im in re 1.433 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.433 * [taylor]: Taking taylor expansion of -1 in re 1.434 * [taylor]: Taking taylor expansion of im in re 1.436 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.436 * [taylor]: Taking taylor expansion of re in re 1.437 * [taylor]: Taking taylor expansion of 0 in im 1.438 * [taylor]: Taking taylor expansion of 0 in im 1.441 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.441 * [taylor]: Taking taylor expansion of 1/2 in im 1.441 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.441 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.441 * [taylor]: Taking taylor expansion of im in im 1.446 * [taylor]: Taking taylor expansion of 0 in im 1.448 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 2 2) 1.448 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 1.448 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.448 * [taylor]: Taking taylor expansion of re in im 1.448 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.448 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.448 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.448 * [taylor]: Taking taylor expansion of (* re re) in im 1.448 * [taylor]: Taking taylor expansion of re in im 1.448 * [taylor]: Taking taylor expansion of re in im 1.448 * [taylor]: Taking taylor expansion of (* im im) in im 1.448 * [taylor]: Taking taylor expansion of im in im 1.448 * [taylor]: Taking taylor expansion of im in im 1.449 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.449 * [taylor]: Taking taylor expansion of re in re 1.449 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.449 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.449 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.449 * [taylor]: Taking taylor expansion of (* re re) in re 1.449 * [taylor]: Taking taylor expansion of re in re 1.449 * [taylor]: Taking taylor expansion of re in re 1.449 * [taylor]: Taking taylor expansion of (* im im) in re 1.449 * [taylor]: Taking taylor expansion of im in re 1.449 * [taylor]: Taking taylor expansion of im in re 1.450 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.450 * [taylor]: Taking taylor expansion of re in re 1.450 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.451 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.451 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.451 * [taylor]: Taking taylor expansion of (* re re) in re 1.451 * [taylor]: Taking taylor expansion of re in re 1.451 * [taylor]: Taking taylor expansion of re in re 1.451 * [taylor]: Taking taylor expansion of (* im im) in re 1.451 * [taylor]: Taking taylor expansion of im in re 1.451 * [taylor]: Taking taylor expansion of im in re 1.452 * [taylor]: Taking taylor expansion of im in im 1.452 * [taylor]: Taking taylor expansion of 1 in im 1.454 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.454 * [taylor]: Taking taylor expansion of 1/2 in im 1.454 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.454 * [taylor]: Taking taylor expansion of im in im 1.456 * [taylor]: Taking taylor expansion of 0 in im 1.457 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 1.458 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.458 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.458 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.458 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.458 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.458 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.458 * [taylor]: Taking taylor expansion of re in im 1.458 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.458 * [taylor]: Taking taylor expansion of re in im 1.458 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.458 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.458 * [taylor]: Taking taylor expansion of im in im 1.458 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.458 * [taylor]: Taking taylor expansion of im in im 1.461 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.461 * [taylor]: Taking taylor expansion of re in im 1.461 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.461 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.461 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.461 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.461 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.461 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.461 * [taylor]: Taking taylor expansion of re in re 1.461 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.461 * [taylor]: Taking taylor expansion of re in re 1.462 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.462 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.462 * [taylor]: Taking taylor expansion of im in re 1.462 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.462 * [taylor]: Taking taylor expansion of im in re 1.464 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.464 * [taylor]: Taking taylor expansion of re in re 1.465 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.465 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.465 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.465 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.465 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.465 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.465 * [taylor]: Taking taylor expansion of re in re 1.465 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.465 * [taylor]: Taking taylor expansion of re in re 1.465 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.465 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.465 * [taylor]: Taking taylor expansion of im in re 1.465 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.465 * [taylor]: Taking taylor expansion of im in re 1.468 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.468 * [taylor]: Taking taylor expansion of re in re 1.469 * [taylor]: Taking taylor expansion of 2 in im 1.469 * [taylor]: Taking taylor expansion of 0 in im 1.472 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.472 * [taylor]: Taking taylor expansion of 1/2 in im 1.472 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.472 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.472 * [taylor]: Taking taylor expansion of im in im 1.477 * [taylor]: Taking taylor expansion of 0 in im 1.479 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 1.479 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.479 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.479 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.479 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.479 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.479 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.479 * [taylor]: Taking taylor expansion of -1 in im 1.479 * [taylor]: Taking taylor expansion of re in im 1.479 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.479 * [taylor]: Taking taylor expansion of -1 in im 1.479 * [taylor]: Taking taylor expansion of re in im 1.479 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.479 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.479 * [taylor]: Taking taylor expansion of -1 in im 1.479 * [taylor]: Taking taylor expansion of im in im 1.480 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.480 * [taylor]: Taking taylor expansion of -1 in im 1.480 * [taylor]: Taking taylor expansion of im in im 1.483 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.483 * [taylor]: Taking taylor expansion of re in im 1.483 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.483 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.483 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.483 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.483 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.483 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.483 * [taylor]: Taking taylor expansion of -1 in re 1.483 * [taylor]: Taking taylor expansion of re in re 1.483 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.483 * [taylor]: Taking taylor expansion of -1 in re 1.483 * [taylor]: Taking taylor expansion of re in re 1.484 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.484 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.484 * [taylor]: Taking taylor expansion of -1 in re 1.484 * [taylor]: Taking taylor expansion of im in re 1.484 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.484 * [taylor]: Taking taylor expansion of -1 in re 1.484 * [taylor]: Taking taylor expansion of im in re 1.486 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.486 * [taylor]: Taking taylor expansion of re in re 1.487 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.487 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.487 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.487 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.487 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.487 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.487 * [taylor]: Taking taylor expansion of -1 in re 1.487 * [taylor]: Taking taylor expansion of re in re 1.487 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.487 * [taylor]: Taking taylor expansion of -1 in re 1.487 * [taylor]: Taking taylor expansion of re in re 1.487 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.487 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.487 * [taylor]: Taking taylor expansion of -1 in re 1.487 * [taylor]: Taking taylor expansion of im in re 1.487 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.488 * [taylor]: Taking taylor expansion of -1 in re 1.488 * [taylor]: Taking taylor expansion of im in re 1.490 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.490 * [taylor]: Taking taylor expansion of re in re 1.497 * [taylor]: Taking taylor expansion of 0 in im 1.498 * [taylor]: Taking taylor expansion of 0 in im 1.501 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.501 * [taylor]: Taking taylor expansion of 1/2 in im 1.501 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.501 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.501 * [taylor]: Taking taylor expansion of im in im 1.506 * [taylor]: Taking taylor expansion of 0 in im 1.508 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 1.508 * [approximate]: Taking taylor expansion of (* (pow (+ re (hypot re im)) 1/4) (sqrt (sqrt 2.0))) in (re im) around 0 1.508 * [taylor]: Taking taylor expansion of (* (pow (+ re (hypot re im)) 1/4) (sqrt (sqrt 2.0))) in im 1.508 * [taylor]: Taking taylor expansion of (pow (+ re (hypot re im)) 1/4) in im 1.508 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ re (hypot re im))))) in im 1.508 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ re (hypot re im)))) in im 1.508 * [taylor]: Taking taylor expansion of 1/4 in im 1.508 * [taylor]: Taking taylor expansion of (log (+ re (hypot re im))) in im 1.508 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.508 * [taylor]: Taking taylor expansion of re in im 1.508 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.508 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.508 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.508 * [taylor]: Taking taylor expansion of (* re re) in im 1.508 * [taylor]: Taking taylor expansion of re in im 1.508 * [taylor]: Taking taylor expansion of re in im 1.508 * [taylor]: Taking taylor expansion of (* im im) in im 1.508 * [taylor]: Taking taylor expansion of im in im 1.508 * [taylor]: Taking taylor expansion of im in im 1.510 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 1.510 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.510 * [taylor]: Taking taylor expansion of 2.0 in im 1.511 * [taylor]: Taking taylor expansion of (* (pow (+ re (hypot re im)) 1/4) (sqrt (sqrt 2.0))) in re 1.511 * [taylor]: Taking taylor expansion of (pow (+ re (hypot re im)) 1/4) in re 1.511 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ re (hypot re im))))) in re 1.511 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ re (hypot re im)))) in re 1.512 * [taylor]: Taking taylor expansion of 1/4 in re 1.512 * [taylor]: Taking taylor expansion of (log (+ re (hypot re im))) in re 1.512 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.512 * [taylor]: Taking taylor expansion of re in re 1.512 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.512 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.512 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.512 * [taylor]: Taking taylor expansion of (* re re) in re 1.512 * [taylor]: Taking taylor expansion of re in re 1.512 * [taylor]: Taking taylor expansion of re in re 1.512 * [taylor]: Taking taylor expansion of (* im im) in re 1.512 * [taylor]: Taking taylor expansion of im in re 1.512 * [taylor]: Taking taylor expansion of im in re 1.513 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in re 1.513 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.513 * [taylor]: Taking taylor expansion of 2.0 in re 1.515 * [taylor]: Taking taylor expansion of (* (pow (+ re (hypot re im)) 1/4) (sqrt (sqrt 2.0))) in re 1.515 * [taylor]: Taking taylor expansion of (pow (+ re (hypot re im)) 1/4) in re 1.515 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ re (hypot re im))))) in re 1.515 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ re (hypot re im)))) in re 1.515 * [taylor]: Taking taylor expansion of 1/4 in re 1.515 * [taylor]: Taking taylor expansion of (log (+ re (hypot re im))) in re 1.515 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.515 * [taylor]: Taking taylor expansion of re in re 1.515 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.515 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.515 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.515 * [taylor]: Taking taylor expansion of (* re re) in re 1.515 * [taylor]: Taking taylor expansion of re in re 1.515 * [taylor]: Taking taylor expansion of re in re 1.515 * [taylor]: Taking taylor expansion of (* im im) in re 1.515 * [taylor]: Taking taylor expansion of im in re 1.515 * [taylor]: Taking taylor expansion of im in re 1.517 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in re 1.517 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.517 * [taylor]: Taking taylor expansion of 2.0 in re 1.519 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (pow im 1/4)) in im 1.519 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 1.519 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.519 * [taylor]: Taking taylor expansion of 2.0 in im 1.521 * [taylor]: Taking taylor expansion of (pow im 1/4) in im 1.521 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log im))) in im 1.521 * [taylor]: Taking taylor expansion of (* 1/4 (log im)) in im 1.521 * [taylor]: Taking taylor expansion of 1/4 in im 1.521 * [taylor]: Taking taylor expansion of (log im) in im 1.521 * [taylor]: Taking taylor expansion of im in im 1.524 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (sqrt 2.0)) (pow (/ 1 (pow im 3)) 1/4))) in im 1.524 * [taylor]: Taking taylor expansion of 1/4 in im 1.524 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (pow (/ 1 (pow im 3)) 1/4)) in im 1.524 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 1.524 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.524 * [taylor]: Taking taylor expansion of 2.0 in im 1.526 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 3)) 1/4) in im 1.526 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow im 3))))) in im 1.526 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow im 3)))) in im 1.526 * [taylor]: Taking taylor expansion of 1/4 in im 1.526 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 3))) in im 1.526 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 1.526 * [taylor]: Taking taylor expansion of (pow im 3) in im 1.526 * [taylor]: Taking taylor expansion of im in im 1.537 * [taylor]: Taking taylor expansion of (* 1/32 (* (sqrt (sqrt 2.0)) (pow (/ 1 (pow im 7)) 1/4))) in im 1.537 * [taylor]: Taking taylor expansion of 1/32 in im 1.537 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (pow (/ 1 (pow im 7)) 1/4)) in im 1.537 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 1.537 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.537 * [taylor]: Taking taylor expansion of 2.0 in im 1.538 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 7)) 1/4) in im 1.538 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow im 7))))) in im 1.538 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow im 7)))) in im 1.538 * [taylor]: Taking taylor expansion of 1/4 in im 1.538 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 7))) in im 1.538 * [taylor]: Taking taylor expansion of (/ 1 (pow im 7)) in im 1.539 * [taylor]: Taking taylor expansion of (pow im 7) in im 1.539 * [taylor]: Taking taylor expansion of im in im 1.545 * [approximate]: Taking taylor expansion of (* (pow (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/4) (sqrt (sqrt 2.0))) in (re im) around 0 1.545 * [taylor]: Taking taylor expansion of (* (pow (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/4) (sqrt (sqrt 2.0))) in im 1.545 * [taylor]: Taking taylor expansion of (pow (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/4) in im 1.545 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))))) in im 1.545 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in im 1.545 * [taylor]: Taking taylor expansion of 1/4 in im 1.545 * [taylor]: Taking taylor expansion of (log (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 1.545 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.545 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.545 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.545 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.545 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.545 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.545 * [taylor]: Taking taylor expansion of re in im 1.545 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.545 * [taylor]: Taking taylor expansion of re in im 1.545 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.546 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.546 * [taylor]: Taking taylor expansion of im in im 1.546 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.546 * [taylor]: Taking taylor expansion of im in im 1.549 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.549 * [taylor]: Taking taylor expansion of re in im 1.549 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 1.549 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.549 * [taylor]: Taking taylor expansion of 2.0 in im 1.551 * [taylor]: Taking taylor expansion of (* (pow (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/4) (sqrt (sqrt 2.0))) in re 1.551 * [taylor]: Taking taylor expansion of (pow (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/4) in re 1.551 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))))) in re 1.551 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in re 1.551 * [taylor]: Taking taylor expansion of 1/4 in re 1.551 * [taylor]: Taking taylor expansion of (log (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.551 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.551 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.551 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.551 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.551 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.551 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.551 * [taylor]: Taking taylor expansion of re in re 1.552 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.552 * [taylor]: Taking taylor expansion of re in re 1.552 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.552 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.552 * [taylor]: Taking taylor expansion of im in re 1.552 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.552 * [taylor]: Taking taylor expansion of im in re 1.555 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.555 * [taylor]: Taking taylor expansion of re in re 1.556 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in re 1.556 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.556 * [taylor]: Taking taylor expansion of 2.0 in re 1.558 * [taylor]: Taking taylor expansion of (* (pow (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/4) (sqrt (sqrt 2.0))) in re 1.558 * [taylor]: Taking taylor expansion of (pow (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/4) in re 1.558 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))))) in re 1.558 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in re 1.558 * [taylor]: Taking taylor expansion of 1/4 in re 1.558 * [taylor]: Taking taylor expansion of (log (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.558 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.558 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.558 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.558 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.558 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.558 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.558 * [taylor]: Taking taylor expansion of re in re 1.559 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.559 * [taylor]: Taking taylor expansion of re in re 1.559 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.559 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.559 * [taylor]: Taking taylor expansion of im in re 1.559 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.559 * [taylor]: Taking taylor expansion of im in re 1.561 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.561 * [taylor]: Taking taylor expansion of re in re 1.563 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in re 1.563 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.563 * [taylor]: Taking taylor expansion of 2.0 in re 1.566 * [taylor]: Taking taylor expansion of (* (exp (* 1/4 (- (log 2) (log re)))) (sqrt (sqrt 2.0))) in im 1.566 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log 2) (log re)))) in im 1.566 * [taylor]: Taking taylor expansion of (* 1/4 (- (log 2) (log re))) in im 1.566 * [taylor]: Taking taylor expansion of 1/4 in im 1.566 * [taylor]: Taking taylor expansion of (- (log 2) (log re)) in im 1.566 * [taylor]: Taking taylor expansion of (log 2) in im 1.566 * [taylor]: Taking taylor expansion of 2 in im 1.566 * [taylor]: Taking taylor expansion of (log re) in im 1.567 * [taylor]: Taking taylor expansion of re in im 1.567 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 1.567 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.567 * [taylor]: Taking taylor expansion of 2.0 in im 1.574 * [taylor]: Taking taylor expansion of 0 in im 1.593 * [taylor]: Taking taylor expansion of (* 1/16 (* (/ (exp (* 1/4 (- (log 2) (log re)))) (pow im 2)) (sqrt (sqrt 2.0)))) in im 1.593 * [taylor]: Taking taylor expansion of 1/16 in im 1.593 * [taylor]: Taking taylor expansion of (* (/ (exp (* 1/4 (- (log 2) (log re)))) (pow im 2)) (sqrt (sqrt 2.0))) in im 1.593 * [taylor]: Taking taylor expansion of (/ (exp (* 1/4 (- (log 2) (log re)))) (pow im 2)) in im 1.593 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log 2) (log re)))) in im 1.593 * [taylor]: Taking taylor expansion of (* 1/4 (- (log 2) (log re))) in im 1.593 * [taylor]: Taking taylor expansion of 1/4 in im 1.593 * [taylor]: Taking taylor expansion of (- (log 2) (log re)) in im 1.593 * [taylor]: Taking taylor expansion of (log 2) in im 1.593 * [taylor]: Taking taylor expansion of 2 in im 1.594 * [taylor]: Taking taylor expansion of (log re) in im 1.594 * [taylor]: Taking taylor expansion of re in im 1.595 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.595 * [taylor]: Taking taylor expansion of im in im 1.595 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 1.595 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.595 * [taylor]: Taking taylor expansion of 2.0 in im 1.630 * [taylor]: Taking taylor expansion of 0 in im 1.631 * [approximate]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/4)) in (re im) around 0 1.631 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/4)) in im 1.631 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 1.631 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.631 * [taylor]: Taking taylor expansion of 2.0 in im 1.633 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/4) in im 1.633 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in im 1.633 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 1.633 * [taylor]: Taking taylor expansion of 1/4 in im 1.633 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 1.633 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.633 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.633 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.633 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.633 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.633 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.633 * [taylor]: Taking taylor expansion of -1 in im 1.633 * [taylor]: Taking taylor expansion of re in im 1.633 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.633 * [taylor]: Taking taylor expansion of -1 in im 1.633 * [taylor]: Taking taylor expansion of re in im 1.633 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.633 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.633 * [taylor]: Taking taylor expansion of -1 in im 1.633 * [taylor]: Taking taylor expansion of im in im 1.633 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.633 * [taylor]: Taking taylor expansion of -1 in im 1.633 * [taylor]: Taking taylor expansion of im in im 1.636 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.636 * [taylor]: Taking taylor expansion of re in im 1.637 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/4)) in re 1.637 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in re 1.637 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.637 * [taylor]: Taking taylor expansion of 2.0 in re 1.639 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/4) in re 1.639 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in re 1.639 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 1.639 * [taylor]: Taking taylor expansion of 1/4 in re 1.639 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.639 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.639 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.639 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.639 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.639 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.639 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.639 * [taylor]: Taking taylor expansion of -1 in re 1.639 * [taylor]: Taking taylor expansion of re in re 1.639 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.639 * [taylor]: Taking taylor expansion of -1 in re 1.639 * [taylor]: Taking taylor expansion of re in re 1.640 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.640 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.640 * [taylor]: Taking taylor expansion of -1 in re 1.640 * [taylor]: Taking taylor expansion of im in re 1.640 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.640 * [taylor]: Taking taylor expansion of -1 in re 1.640 * [taylor]: Taking taylor expansion of im in re 1.642 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.642 * [taylor]: Taking taylor expansion of re in re 1.648 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/4)) in re 1.648 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in re 1.648 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.648 * [taylor]: Taking taylor expansion of 2.0 in re 1.650 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/4) in re 1.650 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in re 1.650 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 1.650 * [taylor]: Taking taylor expansion of 1/4 in re 1.650 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.650 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.650 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.650 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.650 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.650 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.650 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.650 * [taylor]: Taking taylor expansion of -1 in re 1.650 * [taylor]: Taking taylor expansion of re in re 1.650 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.650 * [taylor]: Taking taylor expansion of -1 in re 1.650 * [taylor]: Taking taylor expansion of re in re 1.650 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.650 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.650 * [taylor]: Taking taylor expansion of -1 in re 1.650 * [taylor]: Taking taylor expansion of im in re 1.651 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.651 * [taylor]: Taking taylor expansion of -1 in re 1.651 * [taylor]: Taking taylor expansion of im in re 1.653 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.653 * [taylor]: Taking taylor expansion of re in re 1.659 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (exp (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re))))) in im 1.659 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 1.659 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.659 * [taylor]: Taking taylor expansion of 2.0 in im 1.661 * [taylor]: Taking taylor expansion of (exp (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re)))) in im 1.661 * [taylor]: Taking taylor expansion of (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re))) in im 1.661 * [taylor]: Taking taylor expansion of 1/4 in im 1.661 * [taylor]: Taking taylor expansion of (+ (log (/ 1/2 (pow im 2))) (log re)) in im 1.661 * [taylor]: Taking taylor expansion of (log (/ 1/2 (pow im 2))) in im 1.661 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.661 * [taylor]: Taking taylor expansion of 1/2 in im 1.661 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.661 * [taylor]: Taking taylor expansion of im in im 1.662 * [taylor]: Taking taylor expansion of (log re) in im 1.662 * [taylor]: Taking taylor expansion of re in im 1.679 * [taylor]: Taking taylor expansion of 0 in im 1.692 * [taylor]: Taking taylor expansion of (- (* 1/16 (* (sqrt (sqrt 2.0)) (/ (exp (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re)))) (pow im 2))))) in im 1.693 * [taylor]: Taking taylor expansion of (* 1/16 (* (sqrt (sqrt 2.0)) (/ (exp (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re)))) (pow im 2)))) in im 1.693 * [taylor]: Taking taylor expansion of 1/16 in im 1.693 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (/ (exp (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re)))) (pow im 2))) in im 1.693 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 1.693 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.693 * [taylor]: Taking taylor expansion of 2.0 in im 1.694 * [taylor]: Taking taylor expansion of (/ (exp (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re)))) (pow im 2)) in im 1.694 * [taylor]: Taking taylor expansion of (exp (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re)))) in im 1.694 * [taylor]: Taking taylor expansion of (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re))) in im 1.694 * [taylor]: Taking taylor expansion of 1/4 in im 1.694 * [taylor]: Taking taylor expansion of (+ (log (/ 1/2 (pow im 2))) (log re)) in im 1.694 * [taylor]: Taking taylor expansion of (log (/ 1/2 (pow im 2))) in im 1.694 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.694 * [taylor]: Taking taylor expansion of 1/2 in im 1.694 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.694 * [taylor]: Taking taylor expansion of im in im 1.695 * [taylor]: Taking taylor expansion of (log re) in im 1.695 * [taylor]: Taking taylor expansion of re in im 1.697 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.697 * [taylor]: Taking taylor expansion of im in im 1.735 * [taylor]: Taking taylor expansion of 0 in im 1.736 * * * [progress]: simplifying candidates 1.738 * [simplify]: Simplifying using # : (expm1 (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (log1p (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (* (sqrt (* 2.0 (* 1 (+ re (hypot re im))))) (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (* (* 2.0 (* 1 (+ re (hypot re im)))) (* 2.0 (* 1 (+ re (hypot re im))))) (* (sqrt (* 2.0 (* 1 (+ re (hypot re im))))) (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (* (* 2.0 (* 1 (+ re (hypot re im)))) (* 2.0 (* 1 (+ re (hypot re im))))) (* (* 2.0 (* 1 (+ re (hypot re im)))) (* 2.0 (* 1 (+ re (hypot re im))))) (* (* 2.0 (* 1 (+ re (hypot re im)))) (* 2.0 (* 1 (+ re (hypot re im))))) (* (* 2.0 (* 1 (+ re (hypot re im)))) (* 2.0 (* 1 (+ re (hypot re im))))) (* (* 2.0 (* 1 (+ re (hypot re im)))) (* 2.0 (* 1 (+ re (hypot re im))))) (* (* 2.0 (* 1 (+ re (hypot re im)))) (* 2.0 (* 1 (+ re (hypot re im))))) (* (* 2.0 (* 1 (+ re (hypot re im)))) (* 2.0 (* 1 (+ re (hypot re im))))) (* (* 2.0 (* 1 (+ re (hypot re im)))) (* 2.0 (* 1 (+ re (hypot re im))))) (* (* 2.0 (* 1 (+ re (hypot re im)))) (* 2.0 (* 1 (+ re (hypot re im))))) (+ 1 1) (+ (log (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (log (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (log (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (exp (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (* (* (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (* (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (* (cbrt (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (cbrt (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))))) (cbrt (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (* (* (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (* (sqrt (* 2.0 (* 1 (+ re (hypot re im))))) (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (sqrt (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (* (sqrt (sqrt (* 2.0 (* 1 (+ (pow re 3) (pow (hypot re im) 3)))))) (sqrt (sqrt (* 2.0 (* 1 (+ (pow re 3) (pow (hypot re im) 3))))))) (* (sqrt (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im)))))) (sqrt (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))))) (* (sqrt (sqrt (* 2.0 (* 1 (+ (pow re 3) (pow (hypot re im) 3)))))) (sqrt (sqrt (* 2.0 (* 1 (- (* re re) (* (hypot re im) (hypot re im)))))))) (* (sqrt (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im)))))) (sqrt (sqrt (- re (hypot re im))))) (* (sqrt (sqrt (* 2.0 (* 1 (- (* re re) (* (hypot re im) (hypot re im))))))) (sqrt (sqrt (* 2.0 (* 1 (+ (pow re 3) (pow (hypot re im) 3))))))) (* (sqrt (sqrt (- re (hypot re im)))) (sqrt (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))))) (* (sqrt (sqrt (* 2.0 (* 1 (- (* re re) (* (hypot re im) (hypot re im))))))) (sqrt (sqrt (* 2.0 (* 1 (- (* re re) (* (hypot re im) (hypot re im)))))))) (* (sqrt (sqrt (- re (hypot re im)))) (sqrt (sqrt (- re (hypot re im))))) (* (* (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (* (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))))) (* (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (* (sqrt (* (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (sqrt (* (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))))) (* (sqrt (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (sqrt (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (* 1 (+ re (hypot re im))))) (sqrt (sqrt (* 1 (+ re (hypot re im)))))) (* (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (* (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (* (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (* (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (* (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (* (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (* (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (* (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (* 1 1) (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (* (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (* (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (* (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (* (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (* (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (* (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (* (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (* (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (* 2 1/2) (* 2 1) (* 2 (/ 1/2 2)) (* 2 (/ 1 2)) (* 2 (/ (/ 1 2) 2)) (* 2 (/ (/ 1 2) 2)) (* 2 (/ (/ 1 2) 2)) (* 2 (/ (/ 1 2) 2)) (* 2 (/ (/ 1 2) 2)) (* 2 (/ (/ 1 2) 2)) (* 2 (/ (/ 1 2) 2)) (* 2 (/ (/ 1 2) 2)) (* 2 (/ (/ 1 2) 2)) (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (* (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))))) (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (* (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))))) (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt 1)) (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) 1) (* (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (* (sqrt (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (* (sqrt (sqrt (* 1 (+ re (hypot re im))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (* (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (* (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ (pow re 3) (pow (hypot re im) 3))))))) (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (- (* re re) (* (hypot re im) (hypot re im)))))))) (* (sqrt (sqrt (* 2.0 (* 1 (+ (pow re 3) (pow (hypot re im) 3)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (* (sqrt (sqrt (* 2.0 (* 1 (- (* 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re im))) (+ (pow re 3) (pow (hypot re im) 3)) (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im)))) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (expm1 (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (log1p (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (log (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (exp (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (* (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (* (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (sqrt (* (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (sqrt (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (sqrt (sqrt 2.0)) (sqrt (sqrt (* 1 (+ re (hypot re im))))) (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (sqrt 1) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ (pow re 3) (pow (hypot re im) 3)))))) (sqrt (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (- (* re re) (* (hypot re im) (hypot re im))))))) (sqrt (sqrt (- re (hypot re im)))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (/ (/ 1 2) 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (- (+ (* +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 (+ re im) (* 2 re) 0 (+ re im) (* 2 re) 0 (+ (* 1/32 (* (sqrt (sqrt 2.0)) (* (pow (/ 1 (pow im 7)) 1/4) (pow re 2)))) (+ (* 1/4 (* (sqrt (sqrt 2.0)) (* (pow (/ 1 (pow im 3)) 1/4) re))) (* (sqrt (sqrt 2.0)) (pow im 1/4)))) (* (sqrt (sqrt 2.0)) (exp (* 1/4 (- (log 2) (log (/ 1 re)))))) (* (sqrt (sqrt 2.0)) (exp (* 1/4 (- (+ (log (/ -1 re)) (log 1/2)) (* 2 (log (/ -1 im))))))) 1.747 * * [simplify]: iteration 0 : 408 enodes (cost 1059 ) 1.756 * * [simplify]: iteration 1 : 1918 enodes (cost 954 ) 1.796 * * [simplify]: iteration 2 : 5001 enodes (cost 921 ) 1.801 * [simplify]: Simplified to: (expm1 (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (log1p (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) 1 1 2 1/2 1/2 1/2 1/2 1 1 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 (* (+ re (hypot re im)) 2.0) (sqrt (* 2.0 (* 1 (+ re (hypot re im))))) (pow (sqrt (* 2.0 (* 1 (+ re (hypot re im))))) 4) (* (+ re (hypot re im)) 2.0) (pow (sqrt (* 2.0 (* 1 (+ re (hypot re im))))) 4) (pow (sqrt (* 2.0 (* 1 (+ re (hypot re im))))) 4) (pow (sqrt (* 2.0 (* 1 (+ re (hypot re im))))) 4) (pow (sqrt (* 2.0 (* 1 (+ re (hypot re im))))) 4) (pow (sqrt (* 2.0 (* 1 (+ re (hypot re im))))) 4) (pow (sqrt (* 2.0 (* 1 (+ re (hypot re im))))) 4) (pow (sqrt (* 2.0 (* 1 (+ re (hypot re im))))) 4) (pow (sqrt (* 2.0 (* 1 (+ re (hypot re im))))) 4) (pow (sqrt (* 2.0 (* 1 (+ re (hypot re im))))) 4) 2 (* 2 (log (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (* 2 (log (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (pow (exp 1) (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (pow (sqrt (* 2.0 (* 1 (+ re (hypot re im))))) 3) (* (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (pow (sqrt (* 2.0 (* 1 (+ re (hypot re im))))) 3) (* (+ re (hypot re im)) 2.0) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (* 2.0 (* 1 (+ (pow re 3) (pow (hypot re im) 3))))) (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))) (* (sqrt (sqrt (* 2.0 (* 1 (+ (pow re 3) (pow (hypot re im) 3)))))) (sqrt (sqrt (* 2.0 (* 1 (- (* re re) (* (hypot re im) (hypot re im)))))))) (* (sqrt (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im)))))) (sqrt (sqrt (- re (hypot re im))))) (* (sqrt (sqrt (* 2.0 (* 1 (+ (pow re 3) (pow (hypot re im) 3)))))) (sqrt (sqrt (* 2.0 (* 1 (- (* re re) (* (hypot re im) (hypot re im)))))))) (* (sqrt (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im)))))) (sqrt (sqrt (- re (hypot re im))))) (sqrt (* 2.0 (* 1 (- (* re re) (* (hypot re im) (hypot re im)))))) (sqrt (- re (hypot re im))) (pow (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 4) (* (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (* (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt 2.0) (sqrt (+ re (hypot re im))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) 1 (sqrt (* 2.0 (* 1 (+ re (hypot re im))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) 1 (sqrt (* 2.0 (* 1 (+ re (hypot re im))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) 1 2 1/2 1 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (* (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))))) (* (fabs (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt 2.0))) (pow (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 3) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (pow (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 3) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (pow (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 4) (* (sqrt (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (* (sqrt (sqrt (* 1 (+ re (hypot re im))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (pow (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 3) (sqrt (* 2.0 (* 1 (+ re (hypot re im))))) (pow (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 3) (sqrt (* 2.0 (* 1 (+ re (hypot re im))))) (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ (pow re 3) (pow (hypot re im) 3))))))) (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (- (* re re) (* (hypot re im) (hypot re im)))))))) (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ (pow re 3) (pow (hypot re im) 3))))))) (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (- (* re re) (* (hypot re im) (hypot re im)))))))) (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (exp (+ re (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (pow (+ re (hypot re im)) 3) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (fma (hypot re im) (- (hypot re im) re) (pow re 2)) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (exp (+ re (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (pow (+ re (hypot re im)) 3) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (fma (hypot re im) (- (hypot re im) re) (pow re 2)) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (expm1 (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (log1p (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (log (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (exp (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (* (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (pow (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) 3) (fabs (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (sqrt (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (sqrt (sqrt 2.0)) (sqrt (sqrt (* 1 (+ re (hypot re im))))) (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 1 (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ (pow re 3) (pow (hypot re im) 3)))))) (sqrt (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (- (* re re) (* (hypot re im) (hypot re im))))))) (sqrt (sqrt (- re (hypot re im)))) 1/4 1/2 1/4 1/4 1/4 (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (fma (- (* +nan.0 (sqrt 2.0))) (pow re 2) (* (* +nan.0 (sqrt 2.0)) (- im re))) (fma (- (sqrt 2.0)) +nan.0 (* +nan.0 (- (/ (sqrt 2.0) (pow re 2)) (/ (sqrt 2.0) re)))) 0 (+ re im) (/ re 1/2) 0 (+ re im) (/ re 1/2) 0 (fma 1/32 (* (sqrt (sqrt 2.0)) (* (pow (/ 1 (pow im 7)) 1/4) (pow re 2))) (fma 1/4 (* (sqrt (sqrt 2.0)) (* (pow (/ 1 (pow im 3)) 1/4) re)) (* (sqrt (sqrt 2.0)) (pow im 1/4)))) (* (sqrt (sqrt 2.0)) (exp (* 1/4 (- (log 2) (log (/ 1 re)))))) (* (sqrt (sqrt 2.0)) (exp (* 1/4 (- (+ (log (/ -1 re)) (log 1/2)) (* 2 (log (/ -1 im))))))) 1.802 * * * [progress]: adding candidates to table 2.187 * * [progress]: iteration 4 / 4 2.188 * * * [progress]: picking best candidate 2.203 * * * * [pick]: Picked # 2.204 * * * [progress]: localizing error 2.218 * * * [progress]: generating rewritten candidates 2.218 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 2.230 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 2.234 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 2.300 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1 1 1 2 2) 2.309 * * * [progress]: generating series expansions 2.309 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 2.309 * [approximate]: Taking taylor expansion of (pow (* (pow (+ re (hypot re im)) 1/4) (sqrt (sqrt 2.0))) 3) in (re im) around 0 2.309 * [taylor]: Taking taylor expansion of (pow (* (pow (+ re (hypot re im)) 1/4) (sqrt (sqrt 2.0))) 3) in im 2.309 * [taylor]: Taking taylor expansion of (* (pow (+ re (hypot re im)) 1/4) (sqrt (sqrt 2.0))) in im 2.309 * [taylor]: Taking taylor expansion of (pow (+ re (hypot re im)) 1/4) in im 2.309 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ re (hypot re im))))) in im 2.309 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ re (hypot re im)))) in im 2.309 * [taylor]: Taking taylor expansion of 1/4 in im 2.309 * [taylor]: Taking taylor expansion of (log (+ re (hypot re im))) in im 2.309 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 2.309 * [taylor]: Taking taylor expansion of re in im 2.309 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.310 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.310 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.310 * [taylor]: Taking taylor expansion of (* re re) in im 2.310 * [taylor]: Taking taylor expansion of re in im 2.310 * [taylor]: Taking taylor expansion of re in im 2.310 * [taylor]: Taking taylor expansion of (* im im) in im 2.310 * [taylor]: Taking taylor expansion of im in im 2.310 * [taylor]: Taking taylor expansion of im in im 2.312 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 2.312 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.312 * [taylor]: Taking taylor expansion of 2.0 in im 2.314 * [taylor]: Taking taylor expansion of (pow (* (pow (+ re (hypot re im)) 1/4) (sqrt (sqrt 2.0))) 3) in re 2.314 * [taylor]: Taking taylor expansion of (* (pow (+ re (hypot re im)) 1/4) (sqrt (sqrt 2.0))) in re 2.314 * [taylor]: Taking taylor expansion of (pow (+ re (hypot re im)) 1/4) in re 2.314 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ re (hypot re im))))) in re 2.314 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ re (hypot re im)))) in re 2.314 * [taylor]: Taking taylor expansion of 1/4 in re 2.314 * [taylor]: Taking taylor expansion of (log (+ re (hypot re im))) in re 2.314 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.314 * [taylor]: Taking taylor expansion of re in re 2.314 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.314 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.314 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.314 * [taylor]: Taking taylor expansion of (* re re) in re 2.314 * [taylor]: Taking taylor expansion of re in re 2.314 * [taylor]: Taking taylor expansion of re in re 2.314 * [taylor]: Taking taylor expansion of (* im im) in re 2.314 * [taylor]: Taking taylor expansion of im in re 2.314 * [taylor]: Taking taylor expansion of im in re 2.316 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in re 2.316 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.316 * [taylor]: Taking taylor expansion of 2.0 in re 2.318 * [taylor]: Taking taylor expansion of (pow (* (pow (+ re (hypot re im)) 1/4) (sqrt (sqrt 2.0))) 3) in re 2.318 * [taylor]: Taking taylor expansion of (* (pow (+ re (hypot re im)) 1/4) (sqrt (sqrt 2.0))) in re 2.318 * [taylor]: Taking taylor expansion of (pow (+ re (hypot re im)) 1/4) in re 2.318 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ re (hypot re im))))) in re 2.318 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ re (hypot re im)))) in re 2.318 * [taylor]: Taking taylor expansion of 1/4 in re 2.318 * [taylor]: Taking taylor expansion of (log (+ re (hypot re im))) in re 2.318 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.318 * [taylor]: Taking taylor expansion of re in re 2.318 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.318 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.318 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.318 * [taylor]: Taking taylor expansion of (* re re) in re 2.318 * [taylor]: Taking taylor expansion of re in re 2.318 * [taylor]: Taking taylor expansion of re in re 2.318 * [taylor]: Taking taylor expansion of (* im im) in re 2.318 * [taylor]: Taking taylor expansion of im in re 2.318 * [taylor]: Taking taylor expansion of im in re 2.319 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in re 2.320 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.320 * [taylor]: Taking taylor expansion of 2.0 in re 2.324 * [taylor]: Taking taylor expansion of (* (sqrt (pow (sqrt 2.0) 3)) (pow (pow im 3) 1/4)) in im 2.324 * [taylor]: Taking taylor expansion of (sqrt (pow (sqrt 2.0) 3)) in im 2.324 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 3) in im 2.324 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.324 * [taylor]: Taking taylor expansion of 2.0 in im 2.329 * [taylor]: Taking taylor expansion of (pow (pow im 3) 1/4) in im 2.329 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow im 3)))) in im 2.329 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow im 3))) in im 2.329 * [taylor]: Taking taylor expansion of 1/4 in im 2.329 * [taylor]: Taking taylor expansion of (log (pow im 3)) in im 2.329 * [taylor]: Taking taylor expansion of (pow im 3) in im 2.329 * [taylor]: Taking taylor expansion of im in im 2.339 * [taylor]: Taking taylor expansion of (* 3/4 (* (sqrt (pow (sqrt 2.0) 3)) (pow (/ 1 im) 1/4))) in im 2.339 * [taylor]: Taking taylor expansion of 3/4 in im 2.339 * [taylor]: Taking taylor expansion of (* (sqrt (pow (sqrt 2.0) 3)) (pow (/ 1 im) 1/4)) in im 2.339 * [taylor]: Taking taylor expansion of (sqrt (pow (sqrt 2.0) 3)) in im 2.339 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 3) in im 2.339 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.339 * [taylor]: Taking taylor expansion of 2.0 in im 2.349 * [taylor]: Taking taylor expansion of (pow (/ 1 im) 1/4) in im 2.349 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 im)))) in im 2.349 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 im))) in im 2.349 * [taylor]: Taking taylor expansion of 1/4 in im 2.350 * [taylor]: Taking taylor expansion of (log (/ 1 im)) in im 2.350 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.350 * [taylor]: Taking taylor expansion of im in im 2.369 * [taylor]: Taking taylor expansion of (* 9/32 (* (sqrt (pow (sqrt 2.0) 3)) (pow (/ 1 (pow im 5)) 1/4))) in im 2.369 * [taylor]: Taking taylor expansion of 9/32 in im 2.369 * [taylor]: Taking taylor expansion of (* (sqrt (pow (sqrt 2.0) 3)) (pow (/ 1 (pow im 5)) 1/4)) in im 2.369 * [taylor]: Taking taylor expansion of (sqrt (pow (sqrt 2.0) 3)) in im 2.369 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 3) in im 2.369 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.369 * [taylor]: Taking taylor expansion of 2.0 in im 2.374 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/4) in im 2.374 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow im 5))))) in im 2.374 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow im 5)))) in im 2.374 * [taylor]: Taking taylor expansion of 1/4 in im 2.374 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 2.374 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 2.374 * [taylor]: Taking taylor expansion of (pow im 5) in im 2.374 * [taylor]: Taking taylor expansion of im in im 2.383 * [approximate]: Taking taylor expansion of (pow (* (pow (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/4) (sqrt (sqrt 2.0))) 3) in (re im) around 0 2.383 * [taylor]: Taking taylor expansion of (pow (* (pow (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/4) (sqrt (sqrt 2.0))) 3) in im 2.383 * [taylor]: Taking taylor expansion of (* (pow (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/4) (sqrt (sqrt 2.0))) in im 2.383 * [taylor]: Taking taylor expansion of (pow (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/4) in im 2.383 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))))) in im 2.383 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in im 2.383 * [taylor]: Taking taylor expansion of 1/4 in im 2.383 * [taylor]: Taking taylor expansion of (log (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 2.383 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 2.383 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.383 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.383 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.383 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.383 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.383 * [taylor]: Taking taylor expansion of re in im 2.383 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.383 * [taylor]: Taking taylor expansion of re in im 2.383 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.383 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.383 * [taylor]: Taking taylor expansion of im in im 2.383 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.383 * [taylor]: Taking taylor expansion of im in im 2.386 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.386 * [taylor]: Taking taylor expansion of re in im 2.387 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 2.387 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.387 * [taylor]: Taking taylor expansion of 2.0 in im 2.389 * [taylor]: Taking taylor expansion of (pow (* (pow (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/4) (sqrt (sqrt 2.0))) 3) in re 2.389 * [taylor]: Taking taylor expansion of (* (pow (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/4) (sqrt (sqrt 2.0))) in re 2.389 * [taylor]: Taking taylor expansion of (pow (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/4) in re 2.389 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))))) in re 2.389 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in re 2.389 * [taylor]: Taking taylor expansion of 1/4 in re 2.389 * [taylor]: Taking taylor expansion of (log (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 2.389 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.389 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.390 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.390 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.390 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.390 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.390 * [taylor]: Taking taylor expansion of re in re 2.390 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.390 * [taylor]: Taking taylor expansion of re in re 2.390 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.390 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.390 * [taylor]: Taking taylor expansion of im in re 2.390 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.390 * [taylor]: Taking taylor expansion of im in re 2.393 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.393 * [taylor]: Taking taylor expansion of re in re 2.395 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in re 2.395 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.395 * [taylor]: Taking taylor expansion of 2.0 in re 2.397 * [taylor]: Taking taylor expansion of (pow (* (pow (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/4) (sqrt (sqrt 2.0))) 3) in re 2.397 * [taylor]: Taking taylor expansion of (* (pow (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/4) (sqrt (sqrt 2.0))) in re 2.397 * [taylor]: Taking taylor expansion of (pow (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/4) in re 2.397 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))))) in re 2.397 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in re 2.397 * [taylor]: Taking taylor expansion of 1/4 in re 2.397 * [taylor]: Taking taylor expansion of (log (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 2.397 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.397 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.397 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.397 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.397 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.397 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.397 * [taylor]: Taking taylor expansion of re in re 2.398 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.398 * [taylor]: Taking taylor expansion of re in re 2.398 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.398 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.398 * [taylor]: Taking taylor expansion of im in re 2.398 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.398 * [taylor]: Taking taylor expansion of im in re 2.401 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.401 * [taylor]: Taking taylor expansion of re in re 2.402 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in re 2.402 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.402 * [taylor]: Taking taylor expansion of 2.0 in re 2.408 * [taylor]: Taking taylor expansion of (* (pow (exp (* 1/4 (- (log 2) (log re)))) 3) (sqrt (pow (sqrt 2.0) 3))) in im 2.408 * [taylor]: Taking taylor expansion of (pow (exp (* 1/4 (- (log 2) (log re)))) 3) in im 2.408 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log 2) (log re)))) in im 2.408 * [taylor]: Taking taylor expansion of (* 1/4 (- (log 2) (log re))) in im 2.408 * [taylor]: Taking taylor expansion of 1/4 in im 2.408 * [taylor]: Taking taylor expansion of (- (log 2) (log re)) in im 2.408 * [taylor]: Taking taylor expansion of (log 2) in im 2.408 * [taylor]: Taking taylor expansion of 2 in im 2.408 * [taylor]: Taking taylor expansion of (log re) in im 2.408 * [taylor]: Taking taylor expansion of re in im 2.409 * [taylor]: Taking taylor expansion of (sqrt (pow (sqrt 2.0) 3)) in im 2.409 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 3) in im 2.409 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.409 * [taylor]: Taking taylor expansion of 2.0 in im 2.425 * [taylor]: Taking taylor expansion of 0 in im 2.452 * [taylor]: Taking taylor expansion of (* 3/16 (* (/ (pow (exp (* 1/4 (- (log 2) (log re)))) 3) (pow im 2)) (sqrt (pow (sqrt 2.0) 3)))) in im 2.452 * [taylor]: Taking taylor expansion of 3/16 in im 2.452 * [taylor]: Taking taylor expansion of (* (/ (pow (exp (* 1/4 (- (log 2) (log re)))) 3) (pow im 2)) (sqrt (pow (sqrt 2.0) 3))) in im 2.452 * [taylor]: Taking taylor expansion of (/ (pow (exp (* 1/4 (- (log 2) (log re)))) 3) (pow im 2)) in im 2.452 * [taylor]: Taking taylor expansion of (pow (exp (* 1/4 (- (log 2) (log re)))) 3) in im 2.452 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log 2) (log re)))) in im 2.452 * [taylor]: Taking taylor expansion of (* 1/4 (- (log 2) (log re))) in im 2.452 * [taylor]: Taking taylor expansion of 1/4 in im 2.452 * [taylor]: Taking taylor expansion of (- (log 2) (log re)) in im 2.452 * [taylor]: Taking taylor expansion of (log 2) in im 2.452 * [taylor]: Taking taylor expansion of 2 in im 2.452 * [taylor]: Taking taylor expansion of (log re) in im 2.452 * [taylor]: Taking taylor expansion of re in im 2.453 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.453 * [taylor]: Taking taylor expansion of im in im 2.455 * [taylor]: Taking taylor expansion of (sqrt (pow (sqrt 2.0) 3)) in im 2.455 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 3) in im 2.455 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.455 * [taylor]: Taking taylor expansion of 2.0 in im 2.508 * [taylor]: Taking taylor expansion of 0 in im 2.509 * [approximate]: Taking taylor expansion of (pow (* (sqrt (sqrt 2.0)) (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/4)) 3) in (re im) around 0 2.509 * [taylor]: Taking taylor expansion of (pow (* (sqrt (sqrt 2.0)) (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/4)) 3) in im 2.509 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/4)) in im 2.509 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 2.509 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.509 * [taylor]: Taking taylor expansion of 2.0 in im 2.511 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/4) in im 2.511 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in im 2.511 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 2.511 * [taylor]: Taking taylor expansion of 1/4 in im 2.511 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 2.511 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 2.511 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.511 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.511 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.511 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.511 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.511 * [taylor]: Taking taylor expansion of -1 in im 2.511 * [taylor]: Taking taylor expansion of re in im 2.511 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.511 * [taylor]: Taking taylor expansion of -1 in im 2.511 * [taylor]: Taking taylor expansion of re in im 2.511 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.511 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.511 * [taylor]: Taking taylor expansion of -1 in im 2.511 * [taylor]: Taking taylor expansion of im in im 2.512 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.512 * [taylor]: Taking taylor expansion of -1 in im 2.512 * [taylor]: Taking taylor expansion of im in im 2.515 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.515 * [taylor]: Taking taylor expansion of re in im 2.522 * [taylor]: Taking taylor expansion of (pow (* (sqrt (sqrt 2.0)) (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/4)) 3) in re 2.522 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/4)) in re 2.522 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in re 2.522 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.522 * [taylor]: Taking taylor expansion of 2.0 in re 2.523 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/4) in re 2.523 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in re 2.523 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 2.523 * [taylor]: Taking taylor expansion of 1/4 in re 2.523 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 2.523 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.524 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.524 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.524 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.524 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.524 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.524 * [taylor]: Taking taylor expansion of -1 in re 2.524 * [taylor]: Taking taylor expansion of re in re 2.524 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.524 * [taylor]: Taking taylor expansion of -1 in re 2.524 * [taylor]: Taking taylor expansion of re in re 2.524 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.524 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.524 * [taylor]: Taking taylor expansion of -1 in re 2.524 * [taylor]: Taking taylor expansion of im in re 2.525 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.525 * [taylor]: Taking taylor expansion of -1 in re 2.525 * [taylor]: Taking taylor expansion of im in re 2.527 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.527 * [taylor]: Taking taylor expansion of re in re 2.533 * [taylor]: Taking taylor expansion of (pow (* (sqrt (sqrt 2.0)) (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/4)) 3) in re 2.533 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/4)) in re 2.533 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in re 2.533 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.533 * [taylor]: Taking taylor expansion of 2.0 in re 2.535 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/4) in re 2.535 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in re 2.535 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 2.535 * [taylor]: Taking taylor expansion of 1/4 in re 2.535 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 2.535 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.535 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.535 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.535 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.536 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.536 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.536 * [taylor]: Taking taylor expansion of -1 in re 2.536 * [taylor]: Taking taylor expansion of re in re 2.536 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.536 * [taylor]: Taking taylor expansion of -1 in re 2.536 * [taylor]: Taking taylor expansion of re in re 2.536 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.536 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.536 * [taylor]: Taking taylor expansion of -1 in re 2.536 * [taylor]: Taking taylor expansion of im in re 2.536 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.536 * [taylor]: Taking taylor expansion of -1 in re 2.536 * [taylor]: Taking taylor expansion of im in re 2.539 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.539 * [taylor]: Taking taylor expansion of re in re 2.548 * [taylor]: Taking taylor expansion of (* (sqrt (pow (sqrt 2.0) 3)) (pow (exp (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re)))) 3)) in im 2.548 * [taylor]: Taking taylor expansion of (sqrt (pow (sqrt 2.0) 3)) in im 2.548 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 3) in im 2.548 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.548 * [taylor]: Taking taylor expansion of 2.0 in im 2.553 * [taylor]: Taking taylor expansion of (pow (exp (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re)))) 3) in im 2.553 * [taylor]: Taking taylor expansion of (exp (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re)))) in im 2.553 * [taylor]: Taking taylor expansion of (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re))) in im 2.553 * [taylor]: Taking taylor expansion of 1/4 in im 2.553 * [taylor]: Taking taylor expansion of (+ (log (/ 1/2 (pow im 2))) (log re)) in im 2.553 * [taylor]: Taking taylor expansion of (log (/ 1/2 (pow im 2))) in im 2.553 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.553 * [taylor]: Taking taylor expansion of 1/2 in im 2.553 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.553 * [taylor]: Taking taylor expansion of im in im 2.554 * [taylor]: Taking taylor expansion of (log re) in im 2.554 * [taylor]: Taking taylor expansion of re in im 2.568 * [taylor]: Taking taylor expansion of 0 in im 2.589 * [taylor]: Taking taylor expansion of (- (* 3/16 (* (sqrt (pow (sqrt 2.0) 3)) (/ (pow (exp (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re)))) 3) (pow im 2))))) in im 2.589 * [taylor]: Taking taylor expansion of (* 3/16 (* (sqrt (pow (sqrt 2.0) 3)) (/ (pow (exp (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re)))) 3) (pow im 2)))) in im 2.589 * [taylor]: Taking taylor expansion of 3/16 in im 2.589 * [taylor]: Taking taylor expansion of (* (sqrt (pow (sqrt 2.0) 3)) (/ (pow (exp (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re)))) 3) (pow im 2))) in im 2.589 * [taylor]: Taking taylor expansion of (sqrt (pow (sqrt 2.0) 3)) in im 2.589 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 3) in im 2.589 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.589 * [taylor]: Taking taylor expansion of 2.0 in im 2.594 * [taylor]: Taking taylor expansion of (/ (pow (exp (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re)))) 3) (pow im 2)) in im 2.595 * [taylor]: Taking taylor expansion of (pow (exp (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re)))) 3) in im 2.595 * [taylor]: Taking taylor expansion of (exp (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re)))) in im 2.595 * [taylor]: Taking taylor expansion of (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re))) in im 2.595 * [taylor]: Taking taylor expansion of 1/4 in im 2.595 * [taylor]: Taking taylor expansion of (+ (log (/ 1/2 (pow im 2))) (log re)) in im 2.595 * [taylor]: Taking taylor expansion of (log (/ 1/2 (pow im 2))) in im 2.595 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.595 * [taylor]: Taking taylor expansion of 1/2 in im 2.595 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.595 * [taylor]: Taking taylor expansion of im in im 2.595 * [taylor]: Taking taylor expansion of (log re) in im 2.595 * [taylor]: Taking taylor expansion of re in im 2.597 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.597 * [taylor]: Taking taylor expansion of im in im 2.657 * [taylor]: Taking taylor expansion of 0 in im 2.659 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 2.659 * [approximate]: Taking taylor expansion of (* (pow (+ re (hypot re im)) 1/4) (sqrt (sqrt 2.0))) in (re im) around 0 2.659 * [taylor]: Taking taylor expansion of (* (pow (+ re (hypot re im)) 1/4) (sqrt (sqrt 2.0))) in im 2.659 * [taylor]: Taking taylor expansion of (pow (+ re (hypot re im)) 1/4) in im 2.659 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ re (hypot re im))))) in im 2.659 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ re (hypot re im)))) in im 2.659 * [taylor]: Taking taylor expansion of 1/4 in im 2.659 * [taylor]: Taking taylor expansion of (log (+ re (hypot re im))) in im 2.659 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 2.659 * [taylor]: Taking taylor expansion of re in im 2.659 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.659 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.659 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.659 * [taylor]: Taking taylor expansion of (* re re) in im 2.659 * [taylor]: Taking taylor expansion of re in im 2.659 * [taylor]: Taking taylor expansion of re in im 2.659 * [taylor]: Taking taylor expansion of (* im im) in im 2.659 * [taylor]: Taking taylor expansion of im in im 2.659 * [taylor]: Taking taylor expansion of im in im 2.660 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 2.661 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.661 * [taylor]: Taking taylor expansion of 2.0 in im 2.662 * [taylor]: Taking taylor expansion of (* (pow (+ re (hypot re im)) 1/4) (sqrt (sqrt 2.0))) in re 2.662 * [taylor]: Taking taylor expansion of (pow (+ re (hypot re im)) 1/4) in re 2.662 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ re (hypot re im))))) in re 2.662 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ re (hypot re im)))) in re 2.662 * [taylor]: Taking taylor expansion of 1/4 in re 2.662 * [taylor]: Taking taylor expansion of (log (+ re (hypot re im))) in re 2.662 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.662 * [taylor]: Taking taylor expansion of re in re 2.662 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.662 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.662 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.662 * [taylor]: Taking taylor expansion of (* re re) in re 2.663 * [taylor]: Taking taylor expansion of re in re 2.663 * [taylor]: Taking taylor expansion of re in re 2.663 * [taylor]: Taking taylor expansion of (* im im) in re 2.663 * [taylor]: Taking taylor expansion of im in re 2.663 * [taylor]: Taking taylor expansion of im in re 2.664 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in re 2.664 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.664 * [taylor]: Taking taylor expansion of 2.0 in re 2.665 * [taylor]: Taking taylor expansion of (* (pow (+ re (hypot re im)) 1/4) (sqrt (sqrt 2.0))) in re 2.666 * [taylor]: Taking taylor expansion of (pow (+ re (hypot re im)) 1/4) in re 2.666 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ re (hypot re im))))) in re 2.666 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ re (hypot re im)))) in re 2.666 * [taylor]: Taking taylor expansion of 1/4 in re 2.666 * [taylor]: Taking taylor expansion of (log (+ re (hypot re im))) in re 2.666 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.666 * [taylor]: Taking taylor expansion of re in re 2.666 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.666 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.666 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.666 * [taylor]: Taking taylor expansion of (* re re) in re 2.666 * [taylor]: Taking taylor expansion of re in re 2.666 * [taylor]: Taking taylor expansion of re in re 2.666 * [taylor]: Taking taylor expansion of (* im im) in re 2.666 * [taylor]: Taking taylor expansion of im in re 2.666 * [taylor]: Taking taylor expansion of im in re 2.667 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in re 2.667 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.667 * [taylor]: Taking taylor expansion of 2.0 in re 2.669 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (pow im 1/4)) in im 2.669 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 2.669 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.669 * [taylor]: Taking taylor expansion of 2.0 in im 2.671 * [taylor]: Taking taylor expansion of (pow im 1/4) in im 2.671 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log im))) in im 2.671 * [taylor]: Taking taylor expansion of (* 1/4 (log im)) in im 2.671 * [taylor]: Taking taylor expansion of 1/4 in im 2.671 * [taylor]: Taking taylor expansion of (log im) in im 2.671 * [taylor]: Taking taylor expansion of im in im 2.675 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (sqrt 2.0)) (pow (/ 1 (pow im 3)) 1/4))) in im 2.675 * [taylor]: Taking taylor expansion of 1/4 in im 2.675 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (pow (/ 1 (pow im 3)) 1/4)) in im 2.675 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 2.675 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.675 * [taylor]: Taking taylor expansion of 2.0 in im 2.676 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 3)) 1/4) in im 2.676 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow im 3))))) in im 2.676 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow im 3)))) in im 2.676 * [taylor]: Taking taylor expansion of 1/4 in im 2.676 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 3))) in im 2.676 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 2.677 * [taylor]: Taking taylor expansion of (pow im 3) in im 2.677 * [taylor]: Taking taylor expansion of im in im 2.687 * [taylor]: Taking taylor expansion of (* 1/32 (* (sqrt (sqrt 2.0)) (pow (/ 1 (pow im 7)) 1/4))) in im 2.687 * [taylor]: Taking taylor expansion of 1/32 in im 2.687 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (pow (/ 1 (pow im 7)) 1/4)) in im 2.687 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 2.687 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.687 * [taylor]: Taking taylor expansion of 2.0 in im 2.689 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 7)) 1/4) in im 2.689 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow im 7))))) in im 2.689 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow im 7)))) in im 2.689 * [taylor]: Taking taylor expansion of 1/4 in im 2.689 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 7))) in im 2.689 * [taylor]: Taking taylor expansion of (/ 1 (pow im 7)) in im 2.689 * [taylor]: Taking taylor expansion of (pow im 7) in im 2.689 * [taylor]: Taking taylor expansion of im in im 2.701 * [approximate]: Taking taylor expansion of (* (pow (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/4) (sqrt (sqrt 2.0))) in (re im) around 0 2.701 * [taylor]: Taking taylor expansion of (* (pow (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/4) (sqrt (sqrt 2.0))) in im 2.701 * [taylor]: Taking taylor expansion of (pow (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/4) in im 2.701 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))))) in im 2.701 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in im 2.701 * [taylor]: Taking taylor expansion of 1/4 in im 2.701 * [taylor]: Taking taylor expansion of (log (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 2.701 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 2.701 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.701 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.701 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.701 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.701 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.701 * [taylor]: Taking taylor expansion of re in im 2.701 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.701 * [taylor]: Taking taylor expansion of re in im 2.701 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.701 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.701 * [taylor]: Taking taylor expansion of im in im 2.702 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.702 * [taylor]: Taking taylor expansion of im in im 2.704 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.704 * [taylor]: Taking taylor expansion of re in im 2.705 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 2.705 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.705 * [taylor]: Taking taylor expansion of 2.0 in im 2.707 * [taylor]: Taking taylor expansion of (* (pow (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/4) (sqrt (sqrt 2.0))) in re 2.707 * [taylor]: Taking taylor expansion of (pow (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/4) in re 2.707 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))))) in re 2.707 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in re 2.707 * [taylor]: Taking taylor expansion of 1/4 in re 2.707 * [taylor]: Taking taylor expansion of (log (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 2.707 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.707 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.707 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.707 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.707 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.707 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.707 * [taylor]: Taking taylor expansion of re in re 2.708 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.708 * [taylor]: Taking taylor expansion of re in re 2.708 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.708 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.708 * [taylor]: Taking taylor expansion of im in re 2.708 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.708 * [taylor]: Taking taylor expansion of im in re 2.710 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.710 * [taylor]: Taking taylor expansion of re in re 2.712 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in re 2.712 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.712 * [taylor]: Taking taylor expansion of 2.0 in re 2.714 * [taylor]: Taking taylor expansion of (* (pow (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/4) (sqrt (sqrt 2.0))) in re 2.714 * [taylor]: Taking taylor expansion of (pow (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/4) in re 2.714 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))))) in re 2.714 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in re 2.714 * [taylor]: Taking taylor expansion of 1/4 in re 2.714 * [taylor]: Taking taylor expansion of (log (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 2.714 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.714 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.714 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.714 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.714 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.714 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.714 * [taylor]: Taking taylor expansion of re in re 2.714 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.714 * [taylor]: Taking taylor expansion of re in re 2.715 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.715 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.715 * [taylor]: Taking taylor expansion of im in re 2.715 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.715 * [taylor]: Taking taylor expansion of im in re 2.717 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.717 * [taylor]: Taking taylor expansion of re in re 2.719 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in re 2.719 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.719 * [taylor]: Taking taylor expansion of 2.0 in re 2.722 * [taylor]: Taking taylor expansion of (* (exp (* 1/4 (- (log 2) (log re)))) (sqrt (sqrt 2.0))) in im 2.722 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log 2) (log re)))) in im 2.722 * [taylor]: Taking taylor expansion of (* 1/4 (- (log 2) (log re))) in im 2.722 * [taylor]: Taking taylor expansion of 1/4 in im 2.722 * [taylor]: Taking taylor expansion of (- (log 2) (log re)) in im 2.722 * [taylor]: Taking taylor expansion of (log 2) in im 2.722 * [taylor]: Taking taylor expansion of 2 in im 2.722 * [taylor]: Taking taylor expansion of (log re) in im 2.722 * [taylor]: Taking taylor expansion of re in im 2.723 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 2.723 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.723 * [taylor]: Taking taylor expansion of 2.0 in im 2.730 * [taylor]: Taking taylor expansion of 0 in im 2.742 * [taylor]: Taking taylor expansion of (* 1/16 (* (/ (exp (* 1/4 (- (log 2) (log re)))) (pow im 2)) (sqrt (sqrt 2.0)))) in im 2.743 * [taylor]: Taking taylor expansion of 1/16 in im 2.743 * [taylor]: Taking taylor expansion of (* (/ (exp (* 1/4 (- (log 2) (log re)))) (pow im 2)) (sqrt (sqrt 2.0))) in im 2.743 * [taylor]: Taking taylor expansion of (/ (exp (* 1/4 (- (log 2) (log re)))) (pow im 2)) in im 2.743 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log 2) (log re)))) in im 2.743 * [taylor]: Taking taylor expansion of (* 1/4 (- (log 2) (log re))) in im 2.743 * [taylor]: Taking taylor expansion of 1/4 in im 2.743 * [taylor]: Taking taylor expansion of (- (log 2) (log re)) in im 2.743 * [taylor]: Taking taylor expansion of (log 2) in im 2.743 * [taylor]: Taking taylor expansion of 2 in im 2.743 * [taylor]: Taking taylor expansion of (log re) in im 2.743 * [taylor]: Taking taylor expansion of re in im 2.744 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.744 * [taylor]: Taking taylor expansion of im in im 2.744 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 2.744 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.744 * [taylor]: Taking taylor expansion of 2.0 in im 2.778 * [taylor]: Taking taylor expansion of 0 in im 2.779 * [approximate]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/4)) in (re im) around 0 2.779 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/4)) in im 2.779 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 2.779 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.779 * [taylor]: Taking taylor expansion of 2.0 in im 2.786 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/4) in im 2.786 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in im 2.786 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 2.786 * [taylor]: Taking taylor expansion of 1/4 in im 2.786 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 2.786 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 2.786 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.786 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.786 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.787 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.787 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.787 * [taylor]: Taking taylor expansion of -1 in im 2.787 * [taylor]: Taking taylor expansion of re in im 2.787 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.787 * [taylor]: Taking taylor expansion of -1 in im 2.787 * [taylor]: Taking taylor expansion of re in im 2.787 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.787 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.787 * [taylor]: Taking taylor expansion of -1 in im 2.787 * [taylor]: Taking taylor expansion of im in im 2.787 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.787 * [taylor]: Taking taylor expansion of -1 in im 2.787 * [taylor]: Taking taylor expansion of im in im 2.790 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.790 * [taylor]: Taking taylor expansion of re in im 2.791 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/4)) in re 2.791 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in re 2.791 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.791 * [taylor]: Taking taylor expansion of 2.0 in re 2.792 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/4) in re 2.792 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in re 2.792 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 2.792 * [taylor]: Taking taylor expansion of 1/4 in re 2.792 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 2.792 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.793 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.793 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.793 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.793 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.793 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.793 * [taylor]: Taking taylor expansion of -1 in re 2.793 * [taylor]: Taking taylor expansion of re in re 2.793 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.793 * [taylor]: Taking taylor expansion of -1 in re 2.793 * [taylor]: Taking taylor expansion of re in re 2.793 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.793 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.793 * [taylor]: Taking taylor expansion of -1 in re 2.793 * [taylor]: Taking taylor expansion of im in re 2.793 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.793 * [taylor]: Taking taylor expansion of -1 in re 2.793 * [taylor]: Taking taylor expansion of im in re 2.796 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.796 * [taylor]: Taking taylor expansion of re in re 2.801 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/4)) in re 2.801 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in re 2.801 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.801 * [taylor]: Taking taylor expansion of 2.0 in re 2.803 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/4) in re 2.803 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in re 2.803 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 2.803 * [taylor]: Taking taylor expansion of 1/4 in re 2.803 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 2.803 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.803 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.804 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.804 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.804 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.804 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.804 * [taylor]: Taking taylor expansion of -1 in re 2.804 * [taylor]: Taking taylor expansion of re in re 2.804 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.804 * [taylor]: Taking taylor expansion of -1 in re 2.804 * [taylor]: Taking taylor expansion of re in re 2.804 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.804 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.804 * [taylor]: Taking taylor expansion of -1 in re 2.804 * [taylor]: Taking taylor expansion of im in re 2.804 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.804 * [taylor]: Taking taylor expansion of -1 in re 2.804 * [taylor]: Taking taylor expansion of im in re 2.807 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.807 * [taylor]: Taking taylor expansion of re in re 2.813 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (exp (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re))))) in im 2.813 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 2.813 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.813 * [taylor]: Taking taylor expansion of 2.0 in im 2.815 * [taylor]: Taking taylor expansion of (exp (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re)))) in im 2.815 * [taylor]: Taking taylor expansion of (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re))) in im 2.815 * [taylor]: Taking taylor expansion of 1/4 in im 2.815 * [taylor]: Taking taylor expansion of (+ (log (/ 1/2 (pow im 2))) (log re)) in im 2.815 * [taylor]: Taking taylor expansion of (log (/ 1/2 (pow im 2))) in im 2.815 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.815 * [taylor]: Taking taylor expansion of 1/2 in im 2.815 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.815 * [taylor]: Taking taylor expansion of im in im 2.816 * [taylor]: Taking taylor expansion of (log re) in im 2.816 * [taylor]: Taking taylor expansion of re in im 2.824 * [taylor]: Taking taylor expansion of 0 in im 2.838 * [taylor]: Taking taylor expansion of (- (* 1/16 (* (sqrt (sqrt 2.0)) (/ (exp (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re)))) (pow im 2))))) in im 2.838 * [taylor]: Taking taylor expansion of (* 1/16 (* (sqrt (sqrt 2.0)) (/ (exp (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re)))) (pow im 2)))) in im 2.838 * [taylor]: Taking taylor expansion of 1/16 in im 2.838 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (/ (exp (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re)))) (pow im 2))) in im 2.838 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 2.838 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.838 * [taylor]: Taking taylor expansion of 2.0 in im 2.839 * [taylor]: Taking taylor expansion of (/ (exp (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re)))) (pow im 2)) in im 2.839 * [taylor]: Taking taylor expansion of (exp (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re)))) in im 2.839 * [taylor]: Taking taylor expansion of (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re))) in im 2.839 * [taylor]: Taking taylor expansion of 1/4 in im 2.839 * [taylor]: Taking taylor expansion of (+ (log (/ 1/2 (pow im 2))) (log re)) in im 2.839 * [taylor]: Taking taylor expansion of (log (/ 1/2 (pow im 2))) in im 2.839 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.839 * [taylor]: Taking taylor expansion of 1/2 in im 2.839 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.839 * [taylor]: Taking taylor expansion of im in im 2.840 * [taylor]: Taking taylor expansion of (log re) in im 2.840 * [taylor]: Taking taylor expansion of re in im 2.842 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.842 * [taylor]: Taking taylor expansion of im in im 2.883 * [taylor]: Taking taylor expansion of 0 in im 2.885 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 2.885 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0 2.885 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im 2.885 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 2.885 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 2.885 * [taylor]: Taking taylor expansion of re in im 2.885 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.885 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.885 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.885 * [taylor]: Taking taylor expansion of (* re re) in im 2.885 * [taylor]: Taking taylor expansion of re in im 2.885 * [taylor]: Taking taylor expansion of re in im 2.885 * [taylor]: Taking taylor expansion of (* im im) in im 2.885 * [taylor]: Taking taylor expansion of im in im 2.885 * [taylor]: Taking taylor expansion of im in im 2.887 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.887 * [taylor]: Taking taylor expansion of 2.0 in im 2.887 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 2.887 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 2.887 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.887 * [taylor]: Taking taylor expansion of re in re 2.887 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.887 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.888 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.888 * [taylor]: Taking taylor expansion of (* re re) in re 2.888 * [taylor]: Taking taylor expansion of re in re 2.888 * [taylor]: Taking taylor expansion of re in re 2.888 * [taylor]: Taking taylor expansion of (* im im) in re 2.888 * [taylor]: Taking taylor expansion of im in re 2.888 * [taylor]: Taking taylor expansion of im in re 2.889 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.889 * [taylor]: Taking taylor expansion of 2.0 in re 2.890 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 2.890 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 2.890 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.890 * [taylor]: Taking taylor expansion of re in re 2.890 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.890 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.890 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.890 * [taylor]: Taking taylor expansion of (* re re) in re 2.890 * [taylor]: Taking taylor expansion of re in re 2.890 * [taylor]: Taking taylor expansion of re in re 2.890 * [taylor]: Taking taylor expansion of (* im im) in re 2.890 * [taylor]: Taking taylor expansion of im in re 2.890 * [taylor]: Taking taylor expansion of im in re 2.891 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.891 * [taylor]: Taking taylor expansion of 2.0 in re 2.892 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 2.893 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.893 * [taylor]: Taking taylor expansion of 2.0 in im 2.893 * [taylor]: Taking taylor expansion of (sqrt im) in im 2.893 * [taylor]: Taking taylor expansion of im in im 2.895 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 2.895 * [taylor]: Taking taylor expansion of 1/2 in im 2.895 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 2.895 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.895 * [taylor]: Taking taylor expansion of 2.0 in im 2.896 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 2.896 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.896 * [taylor]: Taking taylor expansion of im in im 2.907 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 2.907 * [taylor]: Taking taylor expansion of 1/8 in im 2.907 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 2.907 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.907 * [taylor]: Taking taylor expansion of 2.0 in im 2.907 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 2.908 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 2.908 * [taylor]: Taking taylor expansion of (pow im 3) in im 2.908 * [taylor]: Taking taylor expansion of im in im 2.922 * [approximate]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 2.922 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im 2.922 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 2.923 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 2.923 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.923 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.923 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.923 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.923 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.923 * [taylor]: Taking taylor expansion of re in im 2.923 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.923 * [taylor]: Taking taylor expansion of re in im 2.923 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.923 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.923 * [taylor]: Taking taylor expansion of im in im 2.923 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.923 * [taylor]: Taking taylor expansion of im in im 2.926 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.926 * [taylor]: Taking taylor expansion of re in im 2.927 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.927 * [taylor]: Taking taylor expansion of 2.0 in im 2.928 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 2.928 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 2.928 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.928 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.928 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.928 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.928 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.928 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.928 * [taylor]: Taking taylor expansion of re in re 2.928 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.928 * [taylor]: Taking taylor expansion of re in re 2.929 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.929 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.929 * [taylor]: Taking taylor expansion of im in re 2.929 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.929 * [taylor]: Taking taylor expansion of im in re 2.931 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.931 * [taylor]: Taking taylor expansion of re in re 2.933 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.933 * [taylor]: Taking taylor expansion of 2.0 in re 2.933 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 2.933 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 2.933 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.933 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.934 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.934 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.934 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.934 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.934 * [taylor]: Taking taylor expansion of re in re 2.934 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.934 * [taylor]: Taking taylor expansion of re in re 2.934 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.934 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.934 * [taylor]: Taking taylor expansion of im in re 2.934 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.934 * [taylor]: Taking taylor expansion of im in re 2.937 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.937 * [taylor]: Taking taylor expansion of re in re 2.938 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.938 * [taylor]: Taking taylor expansion of 2.0 in re 2.939 * [taylor]: Taking taylor expansion of 0 in im 2.940 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 2.940 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.940 * [taylor]: Taking taylor expansion of +nan.0 in im 2.940 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.940 * [taylor]: Taking taylor expansion of 2.0 in im 2.946 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 2.946 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.946 * [taylor]: Taking taylor expansion of +nan.0 in im 2.946 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.946 * [taylor]: Taking taylor expansion of 2.0 in im 2.961 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 2.961 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 2.961 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 2.961 * [taylor]: Taking taylor expansion of +nan.0 in im 2.961 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 2.961 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.961 * [taylor]: Taking taylor expansion of 2.0 in im 2.962 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.962 * [taylor]: Taking taylor expansion of im in im 2.963 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 2.963 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.963 * [taylor]: Taking taylor expansion of +nan.0 in im 2.963 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.963 * [taylor]: Taking taylor expansion of 2.0 in im 2.974 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 2.974 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 2.974 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 2.974 * [taylor]: Taking taylor expansion of +nan.0 in im 2.974 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 2.974 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.974 * [taylor]: Taking taylor expansion of 2.0 in im 2.975 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.975 * [taylor]: Taking taylor expansion of im in im 2.976 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 2.976 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.976 * [taylor]: Taking taylor expansion of +nan.0 in im 2.976 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.976 * [taylor]: Taking taylor expansion of 2.0 in im 2.989 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 2.989 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 2.989 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.989 * [taylor]: Taking taylor expansion of 2.0 in im 2.990 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 2.990 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 2.990 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.990 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.990 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.990 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.990 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.990 * [taylor]: Taking taylor expansion of -1 in im 2.990 * [taylor]: Taking taylor expansion of re in im 2.990 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.990 * [taylor]: Taking taylor expansion of -1 in im 2.990 * [taylor]: Taking taylor expansion of re in im 2.990 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.990 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.990 * [taylor]: Taking taylor expansion of -1 in im 2.990 * [taylor]: Taking taylor expansion of im in im 2.991 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.991 * [taylor]: Taking taylor expansion of -1 in im 2.991 * [taylor]: Taking taylor expansion of im in im 2.994 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.994 * [taylor]: Taking taylor expansion of re in im 2.995 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 2.995 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.995 * [taylor]: Taking taylor expansion of 2.0 in re 2.996 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 2.996 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.996 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.996 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.996 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.996 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.996 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.996 * [taylor]: Taking taylor expansion of -1 in re 2.996 * [taylor]: Taking taylor expansion of re in re 2.996 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.996 * [taylor]: Taking taylor expansion of -1 in re 2.996 * [taylor]: Taking taylor expansion of re in re 2.996 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.996 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.997 * [taylor]: Taking taylor expansion of -1 in re 2.997 * [taylor]: Taking taylor expansion of im in re 2.997 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.997 * [taylor]: Taking taylor expansion of -1 in re 2.997 * [taylor]: Taking taylor expansion of im in re 2.999 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.999 * [taylor]: Taking taylor expansion of re in re 3.005 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 3.005 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.005 * [taylor]: Taking taylor expansion of 2.0 in re 3.005 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 3.005 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 3.005 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 3.005 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.005 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 3.005 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 3.005 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.005 * [taylor]: Taking taylor expansion of -1 in re 3.005 * [taylor]: Taking taylor expansion of re in re 3.006 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.006 * [taylor]: Taking taylor expansion of -1 in re 3.006 * [taylor]: Taking taylor expansion of re in re 3.006 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 3.006 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.006 * [taylor]: Taking taylor expansion of -1 in re 3.006 * [taylor]: Taking taylor expansion of im in re 3.006 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.006 * [taylor]: Taking taylor expansion of -1 in re 3.006 * [taylor]: Taking taylor expansion of im in re 3.009 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.009 * [taylor]: Taking taylor expansion of re in re 3.015 * [taylor]: Taking taylor expansion of 0 in im 3.015 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 3.015 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 3.015 * [taylor]: Taking taylor expansion of +nan.0 in im 3.015 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 3.015 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.015 * [taylor]: Taking taylor expansion of 2.0 in im 3.016 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.016 * [taylor]: Taking taylor expansion of im in im 3.023 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 3.024 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 3.024 * [taylor]: Taking taylor expansion of +nan.0 in im 3.024 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 3.024 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.024 * [taylor]: Taking taylor expansion of 2.0 in im 3.024 * [taylor]: Taking taylor expansion of (pow im 4) in im 3.024 * [taylor]: Taking taylor expansion of im in im 3.046 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 3.046 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 3.046 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 3.046 * [taylor]: Taking taylor expansion of +nan.0 in im 3.046 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 3.046 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.046 * [taylor]: Taking taylor expansion of 2.0 in im 3.047 * [taylor]: Taking taylor expansion of (pow im 4) in im 3.047 * [taylor]: Taking taylor expansion of im in im 3.048 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 3.048 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 3.048 * [taylor]: Taking taylor expansion of +nan.0 in im 3.048 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 3.048 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.048 * [taylor]: Taking taylor expansion of 2.0 in im 3.049 * [taylor]: Taking taylor expansion of (pow im 6) in im 3.049 * [taylor]: Taking taylor expansion of im in im 3.071 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1 1 1 2 2) 3.071 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 3.071 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 3.072 * [taylor]: Taking taylor expansion of re in im 3.072 * [taylor]: Taking taylor expansion of (hypot re im) in im 3.072 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 3.072 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 3.072 * [taylor]: Taking taylor expansion of (* re re) in im 3.072 * [taylor]: Taking taylor expansion of re in im 3.072 * [taylor]: Taking taylor expansion of re in im 3.072 * [taylor]: Taking taylor expansion of (* im im) in im 3.072 * [taylor]: Taking taylor expansion of im in im 3.072 * [taylor]: Taking taylor expansion of im in im 3.073 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 3.073 * [taylor]: Taking taylor expansion of re in re 3.073 * [taylor]: Taking taylor expansion of (hypot re im) in re 3.073 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 3.073 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 3.073 * [taylor]: Taking taylor expansion of (* re re) in re 3.073 * [taylor]: Taking taylor expansion of re in re 3.073 * [taylor]: Taking taylor expansion of re in re 3.073 * [taylor]: Taking taylor expansion of (* im im) in re 3.073 * [taylor]: Taking taylor expansion of im in re 3.073 * [taylor]: Taking taylor expansion of im in re 3.074 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 3.074 * [taylor]: Taking taylor expansion of re in re 3.074 * [taylor]: Taking taylor expansion of (hypot re im) in re 3.074 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 3.075 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 3.075 * [taylor]: Taking taylor expansion of (* re re) in re 3.075 * [taylor]: Taking taylor expansion of re in re 3.075 * [taylor]: Taking taylor expansion of re in re 3.075 * [taylor]: Taking taylor expansion of (* im im) in re 3.075 * [taylor]: Taking taylor expansion of im in re 3.075 * [taylor]: Taking taylor expansion of im in re 3.076 * [taylor]: Taking taylor expansion of im in im 3.076 * [taylor]: Taking taylor expansion of 1 in im 3.078 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 3.078 * [taylor]: Taking taylor expansion of 1/2 in im 3.078 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.078 * [taylor]: Taking taylor expansion of im in im 3.081 * [taylor]: Taking taylor expansion of 0 in im 3.082 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 3.082 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 3.082 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 3.082 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.082 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 3.082 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 3.082 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.082 * [taylor]: Taking taylor expansion of re in im 3.082 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.082 * [taylor]: Taking taylor expansion of re in im 3.082 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 3.082 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.082 * [taylor]: Taking taylor expansion of im in im 3.083 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.083 * [taylor]: Taking taylor expansion of im in im 3.085 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.085 * [taylor]: Taking taylor expansion of re in im 3.085 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 3.085 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 3.085 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.085 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 3.085 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 3.086 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.086 * [taylor]: Taking taylor expansion of re in re 3.086 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.086 * [taylor]: Taking taylor expansion of re in re 3.086 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 3.086 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.086 * [taylor]: Taking taylor expansion of im in re 3.086 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.086 * [taylor]: Taking taylor expansion of im in re 3.089 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.089 * [taylor]: Taking taylor expansion of re in re 3.089 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 3.089 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 3.089 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.089 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 3.089 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 3.089 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.089 * [taylor]: Taking taylor expansion of re in re 3.089 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.089 * [taylor]: Taking taylor expansion of re in re 3.090 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 3.090 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.090 * [taylor]: Taking taylor expansion of im in re 3.090 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.090 * [taylor]: Taking taylor expansion of im in re 3.092 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.092 * [taylor]: Taking taylor expansion of re in re 3.093 * [taylor]: Taking taylor expansion of 2 in im 3.093 * [taylor]: Taking taylor expansion of 0 in im 3.096 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 3.096 * [taylor]: Taking taylor expansion of 1/2 in im 3.096 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.096 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.096 * [taylor]: Taking taylor expansion of im in im 3.101 * [taylor]: Taking taylor expansion of 0 in im 3.103 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 3.103 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 3.103 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 3.103 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.103 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 3.103 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 3.103 * [taylor]: Taking taylor expansion of (/ -1 re) in im 3.103 * [taylor]: Taking taylor expansion of -1 in im 3.103 * [taylor]: Taking taylor expansion of re in im 3.103 * [taylor]: Taking taylor expansion of (/ -1 re) in im 3.103 * [taylor]: Taking taylor expansion of -1 in im 3.103 * [taylor]: Taking taylor expansion of re in im 3.103 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 3.103 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.103 * [taylor]: Taking taylor expansion of -1 in im 3.103 * [taylor]: Taking taylor expansion of im in im 3.103 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.103 * [taylor]: Taking taylor expansion of -1 in im 3.103 * [taylor]: Taking taylor expansion of im in im 3.106 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.106 * [taylor]: Taking taylor expansion of re in im 3.106 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 3.106 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 3.106 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.106 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 3.106 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 3.106 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.106 * [taylor]: Taking taylor expansion of -1 in re 3.106 * [taylor]: Taking taylor expansion of re in re 3.107 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.107 * [taylor]: Taking taylor expansion of -1 in re 3.107 * [taylor]: Taking taylor expansion of re in re 3.107 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 3.107 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.107 * [taylor]: Taking taylor expansion of -1 in re 3.107 * [taylor]: Taking taylor expansion of im in re 3.107 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.107 * [taylor]: Taking taylor expansion of -1 in re 3.107 * [taylor]: Taking taylor expansion of im in re 3.110 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.110 * [taylor]: Taking taylor expansion of re in re 3.110 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 3.110 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 3.110 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.110 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 3.110 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 3.110 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.110 * [taylor]: Taking taylor expansion of -1 in re 3.110 * [taylor]: Taking taylor expansion of re in re 3.111 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.111 * [taylor]: Taking taylor expansion of -1 in re 3.111 * [taylor]: Taking taylor expansion of re in re 3.111 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 3.111 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.111 * [taylor]: Taking taylor expansion of -1 in re 3.111 * [taylor]: Taking taylor expansion of im in re 3.111 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.111 * [taylor]: Taking taylor expansion of -1 in re 3.111 * [taylor]: Taking taylor expansion of im in re 3.114 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.114 * [taylor]: Taking taylor expansion of re in re 3.115 * [taylor]: Taking taylor expansion of 0 in im 3.115 * [taylor]: Taking taylor expansion of 0 in im 3.119 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 3.119 * [taylor]: Taking taylor expansion of 1/2 in im 3.119 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.119 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.119 * [taylor]: Taking taylor expansion of im in im 3.130 * [taylor]: Taking taylor expansion of 0 in im 3.131 * * * [progress]: simplifying candidates 3.134 * [simplify]: Simplifying using # : (expm1 (pow (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) 3)) (log1p (pow (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) 3)) (* (log (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 3) (* (log (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 3) (* 1/2 3) (* 1 3) (* (/ 1/2 2) 3) (* (/ 1 2) 3) (* (/ (/ 1 2) 2) 3) (* (/ (/ 1 2) 2) 3) (* (/ (/ 1 2) 2) 3) (pow (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (* (cbrt 3) (cbrt 3))) (pow (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt 3)) (pow (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) 1) (pow (* (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) 3) (pow (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 3) (pow (sqrt (* (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) 3) (pow (sqrt (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 3) (pow (sqrt (sqrt 2.0)) 3) (pow (sqrt (sqrt (* 1 (+ re (hypot re im))))) 3) (pow (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 3) (pow (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 3) (pow (sqrt 1) 3) (pow (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) 3) (pow (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 3) (pow (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 3) (pow 1 3) (pow (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) 3) (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (log (pow (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) 3)) (exp (pow (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) 3)) (* (cbrt (pow (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) 3)) (cbrt (pow (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) 3))) (cbrt (pow (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) 3)) (* (* (pow (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) 3) (pow (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) 3)) (pow (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) 3)) (pow (* (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) 3) (pow (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 3) (pow (sqrt (* (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) 3) (pow (sqrt (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 3) (pow (sqrt (sqrt 2.0)) 3) (pow (sqrt (sqrt (* 1 (+ re (hypot re im))))) 3) (pow (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 3) (pow (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 3) (pow (sqrt 1) 3) (pow (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) 3) (pow (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 3) (pow (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 3) (pow 1 3) (pow (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) 3) (pow (sqrt (sqrt (* 2.0 (* 1 (+ (pow re 3) (pow (hypot re im) 3)))))) 3) (pow (sqrt (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im)))))) 3) (pow (sqrt (sqrt (* 2.0 (* 1 (- (* re re) (* (hypot re im) (hypot re im))))))) 3) (pow (sqrt (sqrt (- re (hypot re im)))) 3) (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (/ 3 2) (sqrt (pow (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) 3)) (sqrt (pow (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) 3)) (pow (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (/ 3 2)) (pow (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (/ 3 2)) (expm1 (cbrt (pow (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) 3))) (log1p (cbrt (pow (sqrt (sqrt (* 2.0 (* 1 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re (hypot re im))))))) 3)) (cbrt (pow 1 3)) (cbrt (pow (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) 3)) (cbrt (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (cbrt (* (cbrt (pow (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) 3)) (cbrt (pow (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) 3)))) (cbrt (cbrt (pow (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) 3))) (cbrt (pow (* (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) 3)) (cbrt (pow (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 3)) (cbrt (pow (sqrt (* (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) 3)) (cbrt (pow (sqrt (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 3)) (cbrt (pow (sqrt (sqrt 2.0)) 3)) (cbrt (pow (sqrt (sqrt (* 1 (+ re (hypot re im))))) 3)) (cbrt (pow (sqrt (sqrt (sqrt (* 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(hypot re im) 3)))))) 3)) (cbrt (pow (sqrt (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im)))))) 3)) (cbrt (pow (sqrt (sqrt (* 2.0 (* 1 (- (* re re) (* (hypot re im) (hypot re im))))))) 3)) (cbrt (pow (sqrt (sqrt (- re (hypot re im)))) 3)) (* (cbrt (cbrt (pow (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) 3))) (cbrt (cbrt (pow (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) 3)))) (cbrt (cbrt (pow (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) 3))) (* (* (cbrt (pow (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) 3)) (cbrt (pow (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) 3))) (cbrt (pow (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) 3))) (sqrt (cbrt (pow (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) 3))) (sqrt (cbrt (pow (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) 3))) (expm1 (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (cbrt (pow (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) 3)))) (log1p (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re 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im))))) (pow (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) 3/2) (sqrt (* 2.0 (* 1 (+ re (hypot re im))))) (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ (pow re 3) (pow (hypot re im) 3))))))) (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (- (* re re) (* (hypot re im) (hypot re im)))))))) (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ (pow re 3) (pow (hypot re im) 3))))))) (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (- (* re re) (* (hypot re im) (hypot re im)))))))) (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (exp (+ re (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (pow (+ re (hypot re im)) 3) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (fma (hypot re im) (- (hypot re im) re) (pow re 2)) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (fma (sqrt (pow (sqrt 2.0) 3)) (pow (pow im 3) 1/4) (fma 3/4 (* (sqrt (pow (sqrt 2.0) 3)) (* (pow (/ 1 im) 1/4) re)) (* 9/32 (* (sqrt (pow (sqrt 2.0) 3)) (* (pow (/ 1 (pow im 5)) 1/4) (pow re 2)))))) (* (sqrt (pow (sqrt 2.0) 3)) (pow (exp (* 1/4 (- (log 2) (log (/ 1 re))))) 3)) (* (sqrt (pow (sqrt 2.0) 3)) (pow (exp (* 1/4 (- (+ (log (/ -1 re)) (log 1/2)) (* 2 (log (/ -1 im)))))) 3)) (fma 1/32 (* (sqrt (sqrt 2.0)) (* (pow (/ 1 (pow im 7)) 1/4) (pow re 2))) (fma 1/4 (* (sqrt (sqrt 2.0)) (* (pow (/ 1 (pow im 3)) 1/4) re)) (* (sqrt (sqrt 2.0)) (pow im 1/4)))) (* (sqrt (sqrt 2.0)) (exp (* 1/4 (- (log 2) (log (/ 1 re)))))) (* (sqrt (sqrt 2.0)) (exp (* 1/4 (- (+ (log (/ -1 re)) (log 1/2)) (* 2 (log (/ -1 im))))))) (fma (- (* +nan.0 (sqrt 2.0))) (pow re 2) (* (* +nan.0 (sqrt 2.0)) (- im re))) (fma (- (sqrt 2.0)) +nan.0 (* +nan.0 (- (/ (sqrt 2.0) (pow re 2)) (/ (sqrt 2.0) re)))) 0 (+ re im) (* 2 re) 0 3.210 * * * [progress]: adding candidates to table 3.676 * [progress]: [Phase 3 of 3] Extracting. 3.676 * * [regime]: Finding splitpoints for: (# # # # # #) 3.678 * * * [regime-changes]: Trying 2 branch expressions: (im re) 3.678 * * * * [regimes]: Trying to branch on im from (# # # # # #) 3.731 * * * * [regimes]: Trying to branch on re from (# # # # # #) 3.772 * * * [regime]: Found split indices: #