18.354 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.053 * * * [progress]: [2/2] Setting up program. 0.055 * [progress]: [Phase 2 of 3] Improving. 0.056 * [simplify]: Simplifying using # : (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.058 * * [simplify]: iteration 0 : 24 enodes (cost 8 ) 0.060 * * [simplify]: iteration 1 : 30 enodes (cost 8 ) 0.061 * * [simplify]: iteration 2 : 33 enodes (cost 8 ) 0.063 * * [simplify]: iteration 3 : 33 enodes (cost 8 ) 0.063 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.063 * * [progress]: iteration 1 / 4 0.063 * * * [progress]: picking best candidate 0.065 * * * * [pick]: Picked # 0.065 * * * [progress]: localizing error 0.075 * * * [progress]: generating rewritten candidates 0.075 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1) 0.079 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.094 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.109 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1) 0.113 * * * [progress]: generating series expansions 0.113 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 0.113 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.113 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.113 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.113 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.113 * [taylor]: Taking taylor expansion of re in im 0.113 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.113 * [taylor]: Taking taylor expansion of im in im 0.114 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.114 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.114 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.114 * [taylor]: Taking taylor expansion of re in re 0.114 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.114 * [taylor]: Taking taylor expansion of im in re 0.114 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.115 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.115 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.115 * [taylor]: Taking taylor expansion of re in re 0.115 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.115 * [taylor]: Taking taylor expansion of im in re 0.115 * [taylor]: Taking taylor expansion of im in im 0.115 * [taylor]: Taking taylor expansion of 0 in im 0.117 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.117 * [taylor]: Taking taylor expansion of 1/2 in im 0.117 * [taylor]: Taking taylor expansion of im in im 0.119 * [taylor]: Taking taylor expansion of 0 in im 0.120 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.120 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.120 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.120 * [taylor]: Taking taylor expansion of im in im 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.120 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.120 * [taylor]: Taking taylor expansion of re in im 0.122 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.123 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.123 * [taylor]: Taking taylor expansion of im in re 0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.123 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.123 * [taylor]: Taking taylor expansion of re in re 0.125 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.125 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.125 * [taylor]: Taking taylor expansion of im in re 0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.125 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.125 * [taylor]: Taking taylor expansion of re in re 0.128 * [taylor]: Taking taylor expansion of 1 in im 0.128 * [taylor]: Taking taylor expansion of 0 in im 0.130 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.130 * [taylor]: Taking taylor expansion of 1/2 in im 0.130 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.130 * [taylor]: Taking taylor expansion of im in im 0.134 * [taylor]: Taking taylor expansion of 0 in im 0.135 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.135 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.135 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.135 * [taylor]: Taking taylor expansion of im in im 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.136 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.136 * [taylor]: Taking taylor expansion of re in im 0.138 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.138 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.138 * [taylor]: Taking taylor expansion of im in re 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.138 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.138 * [taylor]: Taking taylor expansion of re in re 0.141 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.141 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.141 * [taylor]: Taking taylor expansion of im in re 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.141 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.141 * [taylor]: Taking taylor expansion of re in re 0.143 * [taylor]: Taking taylor expansion of 1 in im 0.144 * [taylor]: Taking taylor expansion of 0 in im 0.146 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.146 * [taylor]: Taking taylor expansion of 1/2 in im 0.146 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.146 * [taylor]: Taking taylor expansion of im in im 0.149 * [taylor]: Taking taylor expansion of 0 in im 0.150 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.150 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 0.150 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.150 * [taylor]: Taking taylor expansion of re in im 0.150 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.150 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.150 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.150 * [taylor]: Taking taylor expansion of re in im 0.150 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.150 * [taylor]: Taking taylor expansion of im in im 0.151 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.151 * [taylor]: Taking taylor expansion of re in re 0.151 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.151 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.151 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.151 * [taylor]: Taking taylor expansion of re in re 0.151 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.151 * [taylor]: Taking taylor expansion of im in re 0.152 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.152 * [taylor]: Taking taylor expansion of re in re 0.152 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.152 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.152 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.152 * [taylor]: Taking taylor expansion of re in re 0.152 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.152 * [taylor]: Taking taylor expansion of im in re 0.152 * [taylor]: Taking taylor expansion of im in im 0.153 * [taylor]: Taking taylor expansion of 1 in im 0.154 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.154 * [taylor]: Taking taylor expansion of 1/2 in im 0.154 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.154 * [taylor]: Taking taylor expansion of im in im 0.157 * [taylor]: Taking taylor expansion of 0 in im 0.158 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.158 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.158 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.158 * [taylor]: Taking taylor expansion of re in im 0.158 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.158 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.158 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.158 * [taylor]: Taking taylor expansion of im in im 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.159 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.159 * [taylor]: Taking taylor expansion of re in im 0.161 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.161 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.161 * [taylor]: Taking taylor expansion of re in re 0.161 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.161 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.161 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.161 * [taylor]: Taking taylor expansion of im in re 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.162 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.162 * [taylor]: Taking taylor expansion of re in re 0.164 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.164 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.164 * [taylor]: Taking taylor expansion of re in re 0.164 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.164 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.164 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.164 * [taylor]: Taking taylor expansion of im in re 0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.165 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.165 * [taylor]: Taking taylor expansion of re in re 0.167 * [taylor]: Taking taylor expansion of 2 in im 0.168 * [taylor]: Taking taylor expansion of 0 in im 0.171 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.171 * [taylor]: Taking taylor expansion of 1/2 in im 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.171 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.171 * [taylor]: Taking taylor expansion of im in im 0.175 * [taylor]: Taking taylor expansion of 0 in im 0.177 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.177 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.177 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.177 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.177 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.177 * [taylor]: Taking taylor expansion of im in im 0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.178 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.178 * [taylor]: Taking taylor expansion of re in im 0.180 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.180 * [taylor]: Taking taylor expansion of re in im 0.180 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.180 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.180 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.180 * [taylor]: Taking taylor expansion of im in re 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.180 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.180 * [taylor]: Taking taylor expansion of re in re 0.183 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.183 * [taylor]: Taking taylor expansion of re in re 0.183 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.183 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.183 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.183 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.183 * [taylor]: Taking taylor expansion of im in re 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.183 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.183 * [taylor]: Taking taylor expansion of re in re 0.186 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.186 * [taylor]: Taking taylor expansion of re in re 0.186 * [taylor]: Taking taylor expansion of 0 in im 0.187 * [taylor]: Taking taylor expansion of 0 in im 0.196 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.196 * [taylor]: Taking taylor expansion of 1/2 in im 0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.196 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.196 * [taylor]: Taking taylor expansion of im in im 0.200 * [taylor]: Taking taylor expansion of 0 in im 0.202 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.202 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in (re im) around 0 0.202 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 0.202 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.202 * [taylor]: Taking taylor expansion of 2.0 in im 0.203 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 0.203 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.203 * [taylor]: Taking taylor expansion of re in im 0.203 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.203 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 0.203 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.203 * [taylor]: Taking taylor expansion of im in im 0.204 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.204 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.204 * [taylor]: Taking taylor expansion of 2.0 in re 0.205 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.205 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.205 * [taylor]: Taking taylor expansion of re in re 0.205 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.205 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.205 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.205 * [taylor]: Taking taylor expansion of re in re 0.205 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.205 * [taylor]: Taking taylor expansion of im in re 0.206 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 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 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.207 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.207 * [taylor]: Taking taylor expansion of re in re 0.207 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.207 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 0.207 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.207 * [taylor]: Taking taylor expansion of im in re 0.208 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.208 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.208 * [taylor]: Taking taylor expansion of 2.0 in im 0.209 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.209 * [taylor]: Taking taylor expansion of im in im 0.211 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.211 * [taylor]: Taking taylor expansion of 1/2 in im 0.211 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.211 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.211 * [taylor]: Taking taylor expansion of 2.0 in im 0.212 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.212 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.212 * [taylor]: Taking taylor expansion of im in im 0.223 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.223 * [taylor]: Taking taylor expansion of 1/8 in im 0.223 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.223 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.223 * [taylor]: Taking taylor expansion of 2.0 in im 0.224 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.224 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.224 * [taylor]: Taking taylor expansion of im in im 0.240 * [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 0.240 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.240 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.240 * [taylor]: Taking taylor expansion of 2.0 in im 0.241 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.241 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.241 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.241 * [taylor]: Taking taylor expansion of re in im 0.241 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.241 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.241 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.241 * [taylor]: Taking taylor expansion of im in im 0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.242 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.242 * [taylor]: Taking taylor expansion of re in im 0.245 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.245 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.245 * [taylor]: Taking taylor expansion of 2.0 in re 0.246 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.246 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.246 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.246 * [taylor]: Taking taylor expansion of re in re 0.246 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.246 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.246 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.246 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.246 * [taylor]: Taking taylor expansion of im in re 0.246 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.246 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.246 * [taylor]: Taking taylor expansion of re in re 0.250 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.250 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.250 * [taylor]: Taking taylor expansion of 2.0 in re 0.251 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.251 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.251 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.251 * [taylor]: Taking taylor expansion of re in re 0.251 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.251 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.251 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.251 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.251 * [taylor]: Taking taylor expansion of im in re 0.251 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.251 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.251 * [taylor]: Taking taylor expansion of re in re 0.256 * [taylor]: Taking taylor expansion of 0 in im 0.257 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.257 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.257 * [taylor]: Taking taylor expansion of +nan.0 in im 0.257 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.257 * [taylor]: Taking taylor expansion of 2.0 in im 0.262 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.262 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.262 * [taylor]: Taking taylor expansion of +nan.0 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 0.271 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.271 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.271 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.271 * [taylor]: Taking taylor expansion of +nan.0 in im 0.271 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.271 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.271 * [taylor]: Taking taylor expansion of 2.0 in im 0.272 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.272 * [taylor]: Taking taylor expansion of im in im 0.273 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.273 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.273 * [taylor]: Taking taylor expansion of +nan.0 in im 0.273 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.273 * [taylor]: Taking taylor expansion of 2.0 in im 0.291 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.292 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.292 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.292 * [taylor]: Taking taylor expansion of +nan.0 in im 0.292 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.292 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.292 * [taylor]: Taking taylor expansion of 2.0 in im 0.292 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.292 * [taylor]: Taking taylor expansion of im in im 0.293 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.293 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.293 * [taylor]: Taking taylor expansion of +nan.0 in im 0.293 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.293 * [taylor]: Taking taylor expansion of 2.0 in im 0.307 * [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 0.307 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.307 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.307 * [taylor]: Taking taylor expansion of 2.0 in im 0.308 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.308 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.308 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.308 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.308 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.308 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.308 * [taylor]: Taking taylor expansion of im in im 0.308 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.308 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.308 * [taylor]: Taking taylor expansion of re in im 0.311 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.311 * [taylor]: Taking taylor expansion of re in im 0.312 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.312 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.312 * [taylor]: Taking taylor expansion of 2.0 in re 0.313 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.313 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.313 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.313 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.313 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.313 * [taylor]: Taking taylor expansion of im in re 0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.313 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.313 * [taylor]: Taking taylor expansion of re in re 0.316 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.316 * [taylor]: Taking taylor expansion of re in re 0.321 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.321 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.321 * [taylor]: Taking taylor expansion of 2.0 in re 0.321 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.321 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.321 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.321 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.321 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.322 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.322 * [taylor]: Taking taylor expansion of im in re 0.322 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.322 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.322 * [taylor]: Taking taylor expansion of re in re 0.324 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.324 * [taylor]: Taking taylor expansion of re in re 0.330 * [taylor]: Taking taylor expansion of 0 in im 0.330 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.330 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.331 * [taylor]: Taking taylor expansion of +nan.0 in im 0.331 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.331 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.331 * [taylor]: Taking taylor expansion of 2.0 in im 0.331 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.331 * [taylor]: Taking taylor expansion of im in im 0.339 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.339 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.339 * [taylor]: Taking taylor expansion of +nan.0 in im 0.339 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.339 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.339 * [taylor]: Taking taylor expansion of 2.0 in im 0.340 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.340 * [taylor]: Taking taylor expansion of im in im 0.356 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.356 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.356 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.356 * [taylor]: Taking taylor expansion of +nan.0 in im 0.356 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.356 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.356 * [taylor]: Taking taylor expansion of 2.0 in im 0.357 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.357 * [taylor]: Taking taylor expansion of im in im 0.358 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.358 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.358 * [taylor]: Taking taylor expansion of +nan.0 in im 0.358 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.358 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.358 * [taylor]: Taking taylor expansion of 2.0 in im 0.359 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.359 * [taylor]: Taking taylor expansion of im in im 0.389 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1) 0.389 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.389 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.389 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.389 * [taylor]: Taking taylor expansion of re in im 0.390 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.390 * [taylor]: Taking taylor expansion of im in im 0.390 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.390 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.390 * [taylor]: Taking taylor expansion of re in re 0.390 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.390 * [taylor]: Taking taylor expansion of im in re 0.390 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.390 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.390 * [taylor]: Taking taylor expansion of re in re 0.390 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.390 * [taylor]: Taking taylor expansion of im in re 0.390 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.390 * [taylor]: Taking taylor expansion of im in im 0.390 * [taylor]: Taking taylor expansion of 0 in im 0.391 * [taylor]: Taking taylor expansion of 1 in im 0.393 * [taylor]: Taking taylor expansion of 0 in im 0.395 * [taylor]: Taking taylor expansion of 0 in im 0.395 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.395 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.395 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.395 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.395 * [taylor]: Taking taylor expansion of im in im 0.396 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.396 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.396 * [taylor]: Taking taylor expansion of re in im 0.396 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.396 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.396 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.396 * [taylor]: Taking taylor expansion of im in re 0.396 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.396 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.396 * [taylor]: Taking taylor expansion of re in re 0.396 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.396 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.397 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.397 * [taylor]: Taking taylor expansion of im in re 0.397 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.397 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.397 * [taylor]: Taking taylor expansion of re in re 0.397 * [taylor]: Taking taylor expansion of 1 in im 0.399 * [taylor]: Taking taylor expansion of 0 in im 0.400 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.400 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.400 * [taylor]: Taking taylor expansion of im in im 0.402 * [taylor]: Taking taylor expansion of 0 in im 0.405 * [taylor]: Taking taylor expansion of 0 in im 0.406 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.406 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.406 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.406 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.406 * [taylor]: Taking taylor expansion of im in im 0.407 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.407 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.407 * [taylor]: Taking taylor expansion of re in im 0.407 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.407 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.407 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.407 * [taylor]: Taking taylor expansion of im in re 0.407 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.407 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.407 * [taylor]: Taking taylor expansion of re in re 0.408 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.408 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.408 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.408 * [taylor]: Taking taylor expansion of im in re 0.408 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.408 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.408 * [taylor]: Taking taylor expansion of re in re 0.409 * [taylor]: Taking taylor expansion of 1 in im 0.410 * [taylor]: Taking taylor expansion of 0 in im 0.411 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.411 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.411 * [taylor]: Taking taylor expansion of im in im 0.413 * [taylor]: Taking taylor expansion of 0 in im 0.416 * [taylor]: Taking taylor expansion of 0 in im 0.417 * * * [progress]: simplifying candidates 0.418 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (expm1 (+ (sqrt (+ (* re re) (* im im))) re)) (log1p (+ (sqrt (+ (* re re) (* im im))) re)) (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) (expm1 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (log1p (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (* (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (expm1 (+ (* re re) (* im im))) (log1p (+ (* re re) (* im im))) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) 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 (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 0.423 * * [simplify]: iteration 0 : 296 enodes (cost 446 ) 0.428 * * [simplify]: iteration 1 : 1086 enodes (cost 401 ) 0.446 * * [simplify]: iteration 2 : 3561 enodes (cost 382 ) 0.507 * * [simplify]: iteration 3 : 5001 enodes (cost 381 ) 0.509 * [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)))) (sqrt 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))) (+ 0 (pow im 2)) (- (hypot re im) re) (+ re (hypot re im)) (expm1 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (log1p (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (pow (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 3) (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (expm1 (+ (* re re) (* im im))) (log1p (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (pow (hypot re im) 6) (hypot re im) (hypot re im) (fma im (pow im 5) (pow re 6)) (fma im (- (pow im 3) (* (pow re 2) im)) (pow re 4)) (fma (- (pow im 3)) im (pow re 4)) (- (* re re) (* im im)) 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 (fma re re (* im im)) (fma re re (* im im)) (fma re re (* im im)) 0.510 * * * [progress]: adding candidates to table 0.730 * * [progress]: iteration 2 / 4 0.730 * * * [progress]: picking best candidate 0.744 * * * * [pick]: Picked # 0.744 * * * [progress]: localizing error 0.753 * * * [progress]: generating rewritten candidates 0.753 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 2) 0.757 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.763 * * * [progress]: generating series expansions 0.763 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 2) 0.764 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 0.764 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.764 * [taylor]: Taking taylor expansion of re in im 0.764 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.764 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.764 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.764 * [taylor]: Taking taylor expansion of (* re re) in im 0.764 * [taylor]: Taking taylor expansion of re in im 0.764 * [taylor]: Taking taylor expansion of re in im 0.764 * [taylor]: Taking taylor expansion of (* im im) in im 0.764 * [taylor]: Taking taylor expansion of im in im 0.764 * [taylor]: Taking taylor expansion of im in im 0.765 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.765 * [taylor]: Taking taylor expansion of re in re 0.765 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.765 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.765 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.765 * [taylor]: Taking taylor expansion of (* re re) in re 0.765 * [taylor]: Taking taylor expansion of re in re 0.765 * [taylor]: Taking taylor expansion of re in re 0.765 * [taylor]: Taking taylor expansion of (* im im) in re 0.765 * [taylor]: Taking taylor expansion of im in re 0.765 * [taylor]: Taking taylor expansion of im in re 0.767 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.767 * [taylor]: Taking taylor expansion of re in re 0.767 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.767 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.767 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.767 * [taylor]: Taking taylor expansion of (* re re) in re 0.767 * [taylor]: Taking taylor expansion of re in re 0.767 * [taylor]: Taking taylor expansion of re in re 0.767 * [taylor]: Taking taylor expansion of (* im im) in re 0.767 * [taylor]: Taking taylor expansion of im in re 0.767 * [taylor]: Taking taylor expansion of im in re 0.768 * [taylor]: Taking taylor expansion of im in im 0.768 * [taylor]: Taking taylor expansion of 1 in im 0.770 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.770 * [taylor]: Taking taylor expansion of 1/2 in im 0.770 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.770 * [taylor]: Taking taylor expansion of im in im 0.773 * [taylor]: Taking taylor expansion of 0 in im 0.774 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 0.774 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 0.774 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.774 * [taylor]: Taking taylor expansion of re in im 0.774 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.774 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.775 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.775 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.775 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.775 * [taylor]: Taking taylor expansion of re in im 0.775 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.775 * [taylor]: Taking taylor expansion of re in im 0.775 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.775 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.775 * [taylor]: Taking taylor expansion of im in im 0.775 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.775 * [taylor]: Taking taylor expansion of im in im 0.778 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.778 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.778 * [taylor]: Taking taylor expansion of re in re 0.778 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.778 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.778 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.778 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.778 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.778 * [taylor]: Taking taylor expansion of re in re 0.779 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.779 * [taylor]: Taking taylor expansion of re in re 0.779 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.779 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.779 * [taylor]: Taking taylor expansion of im in re 0.779 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.779 * [taylor]: Taking taylor expansion of im in re 0.782 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.782 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.782 * [taylor]: Taking taylor expansion of re in re 0.782 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.782 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.782 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.782 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.782 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.782 * [taylor]: Taking taylor expansion of re in re 0.783 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.783 * [taylor]: Taking taylor expansion of re in re 0.783 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.783 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.783 * [taylor]: Taking taylor expansion of im in re 0.783 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.783 * [taylor]: Taking taylor expansion of im in re 0.786 * [taylor]: Taking taylor expansion of 2 in im 0.791 * [taylor]: Taking taylor expansion of 0 in im 0.795 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.795 * [taylor]: Taking taylor expansion of 1/2 in im 0.795 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.795 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.795 * [taylor]: Taking taylor expansion of im in im 0.800 * [taylor]: Taking taylor expansion of 0 in im 0.802 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 0.802 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.802 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.802 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.802 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.802 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.802 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.802 * [taylor]: Taking taylor expansion of -1 in im 0.802 * [taylor]: Taking taylor expansion of re in im 0.802 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.802 * [taylor]: Taking taylor expansion of -1 in im 0.802 * [taylor]: Taking taylor expansion of re in im 0.802 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.802 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.802 * [taylor]: Taking taylor expansion of -1 in im 0.802 * [taylor]: Taking taylor expansion of im in im 0.802 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.802 * [taylor]: Taking taylor expansion of -1 in im 0.803 * [taylor]: Taking taylor expansion of im in im 0.805 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.805 * [taylor]: Taking taylor expansion of re in im 0.806 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.806 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.806 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.806 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.806 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 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 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 0.807 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.807 * [taylor]: Taking taylor expansion of -1 in re 0.807 * [taylor]: Taking taylor expansion of im in re 0.810 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.810 * [taylor]: Taking taylor expansion of re in re 0.810 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.810 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.810 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.810 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.810 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.810 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.810 * [taylor]: Taking taylor expansion of -1 in re 0.810 * [taylor]: Taking taylor expansion of re in re 0.810 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.810 * [taylor]: Taking taylor expansion of -1 in re 0.810 * [taylor]: Taking taylor expansion of re in re 0.811 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.811 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.811 * [taylor]: Taking taylor expansion of -1 in re 0.811 * [taylor]: Taking taylor expansion of im in re 0.811 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.811 * [taylor]: Taking taylor expansion of -1 in re 0.811 * [taylor]: Taking taylor expansion of im in re 0.814 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.814 * [taylor]: Taking taylor expansion of re in re 0.814 * [taylor]: Taking taylor expansion of 0 in im 0.815 * [taylor]: Taking taylor expansion of 0 in im 0.819 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.819 * [taylor]: Taking taylor expansion of 1/2 in im 0.819 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.819 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.819 * [taylor]: Taking taylor expansion of im in im 0.824 * [taylor]: Taking taylor expansion of 0 in im 0.826 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.826 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0 0.826 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im 0.826 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 0.826 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.826 * [taylor]: Taking taylor expansion of re in im 0.826 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.826 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.826 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.826 * [taylor]: Taking taylor expansion of (* re re) in im 0.826 * [taylor]: Taking taylor expansion of re in im 0.826 * [taylor]: Taking taylor expansion of re in im 0.826 * [taylor]: Taking taylor expansion of (* im im) in im 0.826 * [taylor]: Taking taylor expansion of im in im 0.826 * [taylor]: Taking taylor expansion of im in im 0.828 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.828 * [taylor]: Taking taylor expansion of 2.0 in im 0.829 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 0.829 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 0.829 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.829 * [taylor]: Taking taylor expansion of re in re 0.829 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.829 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.829 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.829 * [taylor]: Taking taylor expansion of (* re re) in re 0.829 * [taylor]: Taking taylor expansion of re in re 0.829 * [taylor]: Taking taylor expansion of re in re 0.829 * [taylor]: Taking taylor expansion of (* im im) in re 0.829 * [taylor]: Taking taylor expansion of im in re 0.829 * [taylor]: Taking taylor expansion of im in re 0.831 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.831 * [taylor]: Taking taylor expansion of 2.0 in re 0.831 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 0.831 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 0.831 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.831 * [taylor]: Taking taylor expansion of re in re 0.831 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.831 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.831 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.831 * [taylor]: Taking taylor expansion of (* re re) in re 0.832 * [taylor]: Taking taylor expansion of re in re 0.832 * [taylor]: Taking taylor expansion of re in re 0.832 * [taylor]: Taking taylor expansion of (* im im) in re 0.832 * [taylor]: Taking taylor expansion of im in re 0.832 * [taylor]: Taking taylor expansion of im in re 0.833 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.833 * [taylor]: Taking taylor expansion of 2.0 in re 0.834 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) 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 (sqrt im) in im 0.835 * [taylor]: Taking taylor expansion of im in im 0.837 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.837 * [taylor]: Taking taylor expansion of 1/2 in im 0.837 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.837 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.837 * [taylor]: Taking taylor expansion of 2.0 in im 0.838 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.838 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.838 * [taylor]: Taking taylor expansion of im in im 0.849 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.849 * [taylor]: Taking taylor expansion of 1/8 in im 0.849 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.849 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.849 * [taylor]: Taking taylor expansion of 2.0 in im 0.850 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.850 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.850 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.850 * [taylor]: Taking taylor expansion of im in im 0.866 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in (re im) around 0 0.866 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in im 0.866 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 0.866 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 0.866 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.866 * [taylor]: Taking taylor expansion of re in im 0.866 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.866 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.866 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.866 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.867 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.867 * [taylor]: Taking taylor expansion of re in im 0.867 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.867 * [taylor]: Taking taylor expansion of re in im 0.867 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.867 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.867 * [taylor]: Taking taylor expansion of im in im 0.867 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.867 * [taylor]: Taking taylor expansion of im in im 0.871 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.871 * [taylor]: Taking taylor expansion of 2.0 in im 0.872 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 0.872 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 0.872 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.872 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.872 * [taylor]: Taking taylor expansion of re in re 0.872 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.872 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.872 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.872 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.872 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.872 * [taylor]: Taking taylor expansion of re in re 0.873 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.873 * [taylor]: Taking taylor expansion of re in re 0.873 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.873 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.873 * [taylor]: Taking taylor expansion of im in re 0.873 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.873 * [taylor]: Taking taylor expansion of im in re 0.883 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.883 * [taylor]: Taking taylor expansion of 2.0 in re 0.884 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 0.884 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 0.884 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.884 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.884 * [taylor]: Taking taylor expansion of re in re 0.884 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.884 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.884 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.884 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.884 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.884 * [taylor]: Taking taylor expansion of re in re 0.885 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.885 * [taylor]: Taking taylor expansion of re in re 0.885 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.885 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.885 * [taylor]: Taking taylor expansion of im in re 0.885 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.885 * [taylor]: Taking taylor expansion of im in re 0.889 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.889 * [taylor]: Taking taylor expansion of 2.0 in re 0.890 * [taylor]: Taking taylor expansion of 0 in im 0.891 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.892 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.892 * [taylor]: Taking taylor expansion of +nan.0 in im 0.892 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.892 * [taylor]: Taking taylor expansion of 2.0 in im 0.898 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.898 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.898 * [taylor]: Taking taylor expansion of +nan.0 in im 0.898 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.898 * [taylor]: Taking taylor expansion of 2.0 in im 0.908 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.908 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.908 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.908 * [taylor]: Taking taylor expansion of +nan.0 in im 0.908 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.908 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.908 * [taylor]: Taking taylor expansion of 2.0 in im 0.909 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.909 * [taylor]: Taking taylor expansion of im in im 0.910 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.910 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.910 * [taylor]: Taking taylor expansion of +nan.0 in im 0.910 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.910 * [taylor]: Taking taylor expansion of 2.0 in im 0.922 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.922 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.922 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.922 * [taylor]: Taking taylor expansion of +nan.0 in im 0.922 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.922 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.922 * [taylor]: Taking taylor expansion of 2.0 in im 0.923 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.923 * [taylor]: Taking taylor expansion of im in im 0.924 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.924 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.924 * [taylor]: Taking taylor expansion of +nan.0 in im 0.924 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.924 * [taylor]: Taking taylor expansion of 2.0 in im 0.938 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 0.938 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 0.939 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.939 * [taylor]: Taking taylor expansion of 2.0 in im 0.939 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 0.939 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.939 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.939 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.939 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.939 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.939 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.939 * [taylor]: Taking taylor expansion of -1 in im 0.940 * [taylor]: Taking taylor expansion of re in im 0.940 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.940 * [taylor]: Taking taylor expansion of -1 in im 0.940 * [taylor]: Taking taylor expansion of re in im 0.940 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.940 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.940 * [taylor]: Taking taylor expansion of -1 in im 0.940 * [taylor]: Taking taylor expansion of im in im 0.940 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.940 * [taylor]: Taking taylor expansion of -1 in im 0.940 * [taylor]: Taking taylor expansion of im in im 0.943 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.943 * [taylor]: Taking taylor expansion of re in im 0.944 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.945 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.945 * [taylor]: Taking taylor expansion of 2.0 in re 0.945 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.945 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.945 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.945 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.945 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.945 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.945 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.945 * [taylor]: Taking taylor expansion of -1 in re 0.945 * [taylor]: Taking taylor expansion of re in re 0.946 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.946 * [taylor]: Taking taylor expansion of -1 in re 0.946 * [taylor]: Taking taylor expansion of re in re 0.946 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.946 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.946 * [taylor]: Taking taylor expansion of -1 in re 0.946 * [taylor]: Taking taylor expansion of im in re 0.946 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.946 * [taylor]: Taking taylor expansion of -1 in re 0.946 * [taylor]: Taking taylor expansion of im in re 0.949 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.949 * [taylor]: Taking taylor expansion of re in re 0.955 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.955 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.955 * [taylor]: Taking taylor expansion of 2.0 in re 0.956 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.956 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.956 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.956 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.956 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.956 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.956 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.956 * [taylor]: Taking taylor expansion of -1 in re 0.956 * [taylor]: Taking taylor expansion of re in re 0.956 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.956 * [taylor]: Taking taylor expansion of -1 in re 0.956 * [taylor]: Taking taylor expansion of re in re 0.956 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.957 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.957 * [taylor]: Taking taylor expansion of -1 in re 0.957 * [taylor]: Taking taylor expansion of im in re 0.957 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.957 * [taylor]: Taking taylor expansion of -1 in re 0.957 * [taylor]: Taking taylor expansion of im in re 0.959 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.959 * [taylor]: Taking taylor expansion of re in re 0.966 * [taylor]: Taking taylor expansion of 0 in im 0.967 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.967 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.967 * [taylor]: Taking taylor expansion of +nan.0 in im 0.967 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.967 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.967 * [taylor]: Taking taylor expansion of 2.0 in im 0.967 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.967 * [taylor]: Taking taylor expansion of im in im 0.982 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.982 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.982 * [taylor]: Taking taylor expansion of +nan.0 in im 0.982 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.982 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.982 * [taylor]: Taking taylor expansion of 2.0 in im 0.983 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.983 * [taylor]: Taking taylor expansion of im in im 1.000 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 1.000 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 1.000 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.000 * [taylor]: Taking taylor expansion of +nan.0 in im 1.000 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.000 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.000 * [taylor]: Taking taylor expansion of 2.0 in im 1.001 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.001 * [taylor]: Taking taylor expansion of im in im 1.002 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 1.002 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 1.002 * [taylor]: Taking taylor expansion of +nan.0 in im 1.002 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 1.002 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.002 * [taylor]: Taking taylor expansion of 2.0 in im 1.003 * [taylor]: Taking taylor expansion of (pow im 6) in im 1.003 * [taylor]: Taking taylor expansion of im in im 1.027 * * * [progress]: simplifying candidates 1.028 * [simplify]: Simplifying using # : (expm1 (+ (* (sqrt 1) (hypot re im)) re)) (log1p (+ (* (sqrt 1) (hypot re im)) re)) (* (exp (* (sqrt 1) (hypot re im))) (exp re)) (log (+ (* (sqrt 1) (hypot re im)) re)) (exp (+ (* (sqrt 1) (hypot re im)) re)) (* (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (* (* (+ (* (sqrt 1) (hypot re im)) re) (+ (* (sqrt 1) (hypot re im)) re)) (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3)) (+ (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (- (* re re) (* (* (sqrt 1) (hypot re im)) re))) (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re)) (- (* (sqrt 1) (hypot re im)) re) (expm1 (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (log1p (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (log (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (exp (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (* (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (* (* (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (* 2.0 (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3)))) (sqrt (+ (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (- (* re re) (* (* (sqrt 1) (hypot re im)) re)))) (sqrt (* 2.0 (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re)))) (sqrt (- (* (sqrt 1) (hypot re im)) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) 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 1.032 * * [simplify]: iteration 0 : 202 enodes (cost 247 ) 1.036 * * [simplify]: iteration 1 : 638 enodes (cost 221 ) 1.049 * * [simplify]: iteration 2 : 2370 enodes (cost 213 ) 1.095 * * [simplify]: iteration 3 : 5002 enodes (cost 209 ) 1.097 * [simplify]: Simplified to: (expm1 (+ (* (sqrt 1) (hypot re im)) re)) (log1p (+ (* (sqrt 1) (hypot re im)) re)) (exp (+ (* (sqrt 1) (hypot re im)) re)) (log (+ (* (sqrt 1) (hypot re im)) re)) (exp (+ (* (sqrt 1) (hypot re im)) re)) (* (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (pow (fma (sqrt 1) (hypot re im) re) 3) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3)) (fma (hypot re im) (hypot re im) (* re (- re (* (sqrt 1) (hypot re im))))) (fma (hypot re im) (hypot re im) (- (* re re))) (- (hypot re im) re) (expm1 (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (log1p (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (log (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (exp (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (* (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (pow (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))) 3) (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (* 2.0 (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3)))) (sqrt (+ (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (- (* re re) (* (* (sqrt 1) (hypot re im)) re)))) (sqrt (* 2.0 (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re)))) (sqrt (- (* (sqrt 1) (hypot re im)) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) 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 1.097 * * * [progress]: adding candidates to table 1.203 * * [progress]: iteration 3 / 4 1.203 * * * [progress]: picking best candidate 1.210 * * * * [pick]: Picked # 1.210 * * * [progress]: localizing error 1.222 * * * [progress]: generating rewritten candidates 1.222 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1 2) 1.226 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 2) 1.230 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.277 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 1.288 * * * [progress]: generating series expansions 1.288 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1 2) 1.289 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 1.289 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.289 * [taylor]: Taking taylor expansion of re in im 1.289 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.289 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.289 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.289 * [taylor]: Taking taylor expansion of (* re re) in im 1.289 * [taylor]: Taking taylor expansion of re in im 1.289 * [taylor]: Taking taylor expansion of re in im 1.289 * [taylor]: Taking taylor expansion of (* im im) in im 1.289 * [taylor]: Taking taylor expansion of im in im 1.289 * [taylor]: Taking taylor expansion of im in im 1.290 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.290 * [taylor]: Taking taylor expansion of re in re 1.290 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.291 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.291 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.291 * [taylor]: Taking taylor expansion of (* re re) in re 1.291 * [taylor]: Taking taylor expansion of re in re 1.291 * [taylor]: Taking taylor expansion of re in re 1.291 * [taylor]: Taking taylor expansion of (* im im) in re 1.291 * [taylor]: Taking taylor expansion of im in re 1.291 * [taylor]: Taking taylor expansion of im in re 1.292 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.292 * [taylor]: Taking taylor expansion of re in re 1.292 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.292 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.292 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.292 * [taylor]: Taking taylor expansion of (* re re) in re 1.292 * [taylor]: Taking taylor expansion of re in re 1.292 * [taylor]: Taking taylor expansion of re in re 1.292 * [taylor]: Taking taylor expansion of (* im im) in re 1.292 * [taylor]: Taking taylor expansion of im in re 1.292 * [taylor]: Taking taylor expansion of im in re 1.293 * [taylor]: Taking taylor expansion of im in im 1.294 * [taylor]: Taking taylor expansion of 1 in im 1.295 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.295 * [taylor]: Taking taylor expansion of 1/2 in im 1.295 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.295 * [taylor]: Taking taylor expansion of im in im 1.298 * [taylor]: Taking taylor expansion of 0 in im 1.300 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 1.300 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 1.300 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.300 * [taylor]: Taking taylor expansion of re in im 1.300 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.300 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.300 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.300 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.300 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.300 * [taylor]: Taking taylor expansion of re in im 1.300 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.300 * [taylor]: Taking taylor expansion of re in im 1.300 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.300 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.300 * [taylor]: Taking taylor expansion of im in im 1.301 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.301 * [taylor]: Taking taylor expansion of im in im 1.304 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.304 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.304 * [taylor]: Taking taylor expansion of re in re 1.304 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.304 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.304 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.304 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.304 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.304 * [taylor]: Taking taylor expansion of re in re 1.304 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.304 * [taylor]: Taking taylor expansion of re in re 1.305 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.305 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.305 * [taylor]: Taking taylor expansion of im in re 1.305 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.305 * [taylor]: Taking taylor expansion of im in re 1.307 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.308 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.308 * [taylor]: Taking taylor expansion of re in re 1.308 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.308 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.308 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.308 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.308 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.308 * [taylor]: Taking taylor expansion of re in re 1.308 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.308 * [taylor]: Taking taylor expansion of re in re 1.309 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.309 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.309 * [taylor]: Taking taylor expansion of im in re 1.309 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.309 * [taylor]: Taking taylor expansion of im in re 1.312 * [taylor]: Taking taylor expansion of 2 in im 1.312 * [taylor]: Taking taylor expansion of 0 in im 1.316 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.316 * [taylor]: Taking taylor expansion of 1/2 in im 1.316 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.316 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.316 * [taylor]: Taking taylor expansion of im in im 1.321 * [taylor]: Taking taylor expansion of 0 in im 1.323 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 1.323 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.323 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.323 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.323 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.323 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.323 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.323 * [taylor]: Taking taylor expansion of -1 in im 1.323 * [taylor]: Taking taylor expansion of re in im 1.323 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.323 * [taylor]: Taking taylor expansion of -1 in im 1.323 * [taylor]: Taking taylor expansion of re in im 1.323 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.323 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.323 * [taylor]: Taking taylor expansion of -1 in im 1.323 * [taylor]: Taking taylor expansion of im in im 1.323 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.323 * [taylor]: Taking taylor expansion of -1 in im 1.323 * [taylor]: Taking taylor expansion of im in im 1.326 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.327 * [taylor]: Taking taylor expansion of re in im 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 1.332 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.332 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.332 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.332 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.332 * [taylor]: Taking taylor expansion of -1 in re 1.332 * [taylor]: Taking taylor expansion of re in re 1.332 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.332 * [taylor]: Taking taylor expansion of -1 in re 1.332 * [taylor]: Taking taylor expansion of re in re 1.333 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.333 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.333 * [taylor]: Taking taylor expansion of -1 in re 1.333 * [taylor]: Taking taylor expansion of im in re 1.333 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.333 * [taylor]: Taking taylor expansion of -1 in re 1.333 * [taylor]: Taking taylor expansion of im in re 1.335 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.336 * [taylor]: Taking taylor expansion of re in re 1.336 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.336 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.336 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.336 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.336 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.336 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.336 * [taylor]: Taking taylor expansion of -1 in re 1.336 * [taylor]: Taking taylor expansion of re in re 1.336 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.336 * [taylor]: Taking taylor expansion of -1 in re 1.336 * [taylor]: Taking taylor expansion of re in re 1.337 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.337 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.337 * [taylor]: Taking taylor expansion of -1 in re 1.337 * [taylor]: Taking taylor expansion of im in re 1.337 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.337 * [taylor]: Taking taylor expansion of -1 in re 1.337 * [taylor]: Taking taylor expansion of im in re 1.340 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.340 * [taylor]: Taking taylor expansion of re in re 1.340 * [taylor]: Taking taylor expansion of 0 in im 1.341 * [taylor]: Taking taylor expansion of 0 in im 1.345 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.345 * [taylor]: Taking taylor expansion of 1/2 in im 1.345 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.345 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.345 * [taylor]: Taking taylor expansion of im in im 1.351 * [taylor]: Taking taylor expansion of 0 in im 1.353 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 2) 1.353 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 1.353 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.353 * [taylor]: Taking taylor expansion of re in im 1.353 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.353 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.353 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.353 * [taylor]: Taking taylor expansion of (* re re) in im 1.353 * [taylor]: Taking taylor expansion of re in im 1.353 * [taylor]: Taking taylor expansion of re in im 1.353 * [taylor]: Taking taylor expansion of (* im im) in im 1.353 * [taylor]: Taking taylor expansion of im in im 1.353 * [taylor]: Taking taylor expansion of im in im 1.354 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.354 * [taylor]: Taking taylor expansion of re in re 1.354 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.355 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.355 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.355 * [taylor]: Taking taylor expansion of (* re re) in re 1.355 * [taylor]: Taking taylor expansion of re in re 1.355 * [taylor]: Taking taylor expansion of re in re 1.355 * [taylor]: Taking taylor expansion of (* im im) in re 1.355 * [taylor]: Taking taylor expansion of im in re 1.355 * [taylor]: Taking taylor expansion of im in re 1.356 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.356 * [taylor]: Taking taylor expansion of re in re 1.356 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.356 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.356 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.356 * [taylor]: Taking taylor expansion of (* re re) in re 1.356 * [taylor]: Taking taylor expansion of re in re 1.356 * [taylor]: Taking taylor expansion of re in re 1.356 * [taylor]: Taking taylor expansion of (* im im) in re 1.356 * [taylor]: Taking taylor expansion of im in re 1.356 * [taylor]: Taking taylor expansion of im in re 1.357 * [taylor]: Taking taylor expansion of im in im 1.358 * [taylor]: Taking taylor expansion of 1 in im 1.359 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.359 * [taylor]: Taking taylor expansion of 1/2 in im 1.359 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.359 * [taylor]: Taking taylor expansion of im in im 1.362 * [taylor]: Taking taylor expansion of 0 in im 1.363 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 1.363 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 1.363 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.363 * [taylor]: Taking taylor expansion of re in im 1.364 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.364 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.364 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.364 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.364 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.364 * [taylor]: Taking taylor expansion of re in im 1.364 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.364 * [taylor]: Taking taylor expansion of re in im 1.364 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.364 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.364 * [taylor]: Taking taylor expansion of im in im 1.364 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.364 * [taylor]: Taking taylor expansion of im in im 1.367 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.367 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.367 * [taylor]: Taking taylor expansion of re in re 1.367 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.367 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.367 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.367 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.367 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.367 * [taylor]: Taking taylor expansion of re in re 1.368 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.368 * [taylor]: Taking taylor expansion of re in re 1.368 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.368 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.368 * [taylor]: Taking taylor expansion of im in re 1.368 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.368 * [taylor]: Taking taylor expansion of im in re 1.371 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.371 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.371 * [taylor]: Taking taylor expansion of re in re 1.371 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.371 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.371 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.371 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.371 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.371 * [taylor]: Taking taylor expansion of re in re 1.372 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.372 * [taylor]: Taking taylor expansion of re in re 1.372 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.372 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.372 * [taylor]: Taking taylor expansion of im in re 1.372 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.372 * [taylor]: Taking taylor expansion of im in re 1.375 * [taylor]: Taking taylor expansion of 2 in im 1.376 * [taylor]: Taking taylor expansion of 0 in im 1.379 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.379 * [taylor]: Taking taylor expansion of 1/2 in im 1.379 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.379 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.379 * [taylor]: Taking taylor expansion of im in im 1.384 * [taylor]: Taking taylor expansion of 0 in im 1.386 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 1.386 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.386 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.386 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.386 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.386 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.386 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.386 * [taylor]: Taking taylor expansion of -1 in im 1.386 * [taylor]: Taking taylor expansion of re in im 1.386 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.386 * [taylor]: Taking taylor expansion of -1 in im 1.386 * [taylor]: Taking taylor expansion of re in im 1.386 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.386 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.386 * [taylor]: Taking taylor expansion of -1 in im 1.386 * [taylor]: Taking taylor expansion of im in im 1.387 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.387 * [taylor]: Taking taylor expansion of -1 in im 1.387 * [taylor]: Taking taylor expansion of im in im 1.390 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.390 * [taylor]: Taking taylor expansion of re in im 1.390 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.390 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.390 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.390 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.390 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.390 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.390 * [taylor]: Taking taylor expansion of -1 in re 1.390 * [taylor]: Taking taylor expansion of re in re 1.390 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.390 * [taylor]: Taking taylor expansion of -1 in re 1.390 * [taylor]: Taking taylor expansion of re in re 1.391 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.391 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.391 * [taylor]: Taking taylor expansion of -1 in re 1.391 * [taylor]: Taking taylor expansion of im in re 1.391 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.391 * [taylor]: Taking taylor expansion of -1 in re 1.391 * [taylor]: Taking taylor expansion of im in re 1.394 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.394 * [taylor]: Taking taylor expansion of re in re 1.394 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.394 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.394 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.394 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.394 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.394 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.394 * [taylor]: Taking taylor expansion of -1 in re 1.394 * [taylor]: Taking taylor expansion of re in re 1.394 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.394 * [taylor]: Taking taylor expansion of -1 in re 1.394 * [taylor]: Taking taylor expansion of re in re 1.395 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.395 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.395 * [taylor]: Taking taylor expansion of -1 in re 1.395 * [taylor]: Taking taylor expansion of im in re 1.395 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.395 * [taylor]: Taking taylor expansion of -1 in re 1.395 * [taylor]: Taking taylor expansion of im in re 1.398 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.398 * [taylor]: Taking taylor expansion of re in re 1.399 * [taylor]: Taking taylor expansion of 0 in im 1.400 * [taylor]: Taking taylor expansion of 0 in im 1.403 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.403 * [taylor]: Taking taylor expansion of 1/2 in im 1.403 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.403 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.403 * [taylor]: Taking taylor expansion of im in im 1.409 * [taylor]: Taking taylor expansion of 0 in im 1.410 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.411 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0 1.411 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im 1.411 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 1.411 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.411 * [taylor]: Taking taylor expansion of re in im 1.411 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.411 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.411 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.411 * [taylor]: Taking taylor expansion of (* re re) in im 1.411 * [taylor]: Taking taylor expansion of re in im 1.411 * [taylor]: Taking taylor expansion of re in im 1.411 * [taylor]: Taking taylor expansion of (* im im) in im 1.411 * [taylor]: Taking taylor expansion of im in im 1.411 * [taylor]: Taking taylor expansion of im in im 1.413 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.413 * [taylor]: Taking taylor expansion of 2.0 in im 1.414 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 1.414 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 1.414 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.414 * [taylor]: Taking taylor expansion of re in re 1.414 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.414 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.414 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.414 * [taylor]: Taking taylor expansion of (* re re) in re 1.414 * [taylor]: Taking taylor expansion of re in re 1.414 * [taylor]: Taking taylor expansion of re in re 1.414 * [taylor]: Taking taylor expansion of (* im im) in re 1.414 * [taylor]: Taking taylor expansion of im in re 1.414 * [taylor]: Taking taylor expansion of im in re 1.415 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.416 * [taylor]: Taking taylor expansion of 2.0 in re 1.416 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 1.416 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 1.416 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.416 * [taylor]: Taking taylor expansion of re in re 1.416 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.416 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.416 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.416 * [taylor]: Taking taylor expansion of (* re re) in re 1.416 * [taylor]: Taking taylor expansion of re in re 1.416 * [taylor]: Taking taylor expansion of re in re 1.416 * [taylor]: Taking taylor expansion of (* im im) in re 1.416 * [taylor]: Taking taylor expansion of im in re 1.417 * [taylor]: Taking taylor expansion of im in re 1.418 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.418 * [taylor]: Taking taylor expansion of 2.0 in re 1.419 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 1.419 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.419 * [taylor]: Taking taylor expansion of 2.0 in im 1.425 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.425 * [taylor]: Taking taylor expansion of im in im 1.427 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 1.427 * [taylor]: Taking taylor expansion of 1/2 in im 1.428 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 1.428 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.428 * [taylor]: Taking taylor expansion of 2.0 in im 1.428 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.428 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.428 * [taylor]: Taking taylor expansion of im in im 1.440 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 1.440 * [taylor]: Taking taylor expansion of 1/8 in im 1.440 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 1.440 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.440 * [taylor]: Taking taylor expansion of 2.0 in im 1.441 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 1.441 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 1.441 * [taylor]: Taking taylor expansion of (pow im 3) in im 1.441 * [taylor]: Taking taylor expansion of im in im 1.458 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in (re im) around 0 1.458 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in im 1.458 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 1.458 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 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 (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 1.459 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.459 * [taylor]: Taking taylor expansion of im in im 1.463 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.463 * [taylor]: Taking taylor expansion of 2.0 in im 1.464 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 1.464 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 1.464 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.464 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.464 * [taylor]: Taking taylor expansion of re in re 1.464 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.464 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.464 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.464 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) 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 (/ 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 1.469 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.469 * [taylor]: Taking taylor expansion of 2.0 in re 1.470 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 1.470 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 1.470 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.470 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.470 * [taylor]: Taking taylor expansion of re in re 1.470 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.470 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.470 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.470 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.470 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.470 * [taylor]: Taking taylor expansion of re in re 1.471 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.471 * [taylor]: Taking taylor expansion of re in re 1.471 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.471 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.471 * [taylor]: Taking taylor expansion of im in re 1.471 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.471 * [taylor]: Taking taylor expansion of im in re 1.475 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.475 * [taylor]: Taking taylor expansion of 2.0 in re 1.476 * [taylor]: Taking taylor expansion of 0 in im 1.478 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.478 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.478 * [taylor]: Taking taylor expansion of +nan.0 in im 1.478 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.478 * [taylor]: Taking taylor expansion of 2.0 in im 1.484 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.484 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.484 * [taylor]: Taking taylor expansion of +nan.0 in im 1.484 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.484 * [taylor]: Taking taylor expansion of 2.0 in im 1.493 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 1.494 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 1.494 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.494 * [taylor]: Taking taylor expansion of +nan.0 in im 1.494 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.494 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.494 * [taylor]: Taking taylor expansion of 2.0 in im 1.494 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.494 * [taylor]: Taking taylor expansion of im in im 1.495 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.495 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.495 * [taylor]: Taking taylor expansion of +nan.0 in im 1.495 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.495 * [taylor]: Taking taylor expansion of 2.0 in im 1.508 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 1.508 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 1.508 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.508 * [taylor]: Taking taylor expansion of +nan.0 in im 1.508 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.508 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.508 * [taylor]: Taking taylor expansion of 2.0 in im 1.509 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.509 * [taylor]: Taking taylor expansion of im in im 1.510 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.510 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.510 * [taylor]: Taking taylor expansion of +nan.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 1.718 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 1.718 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 1.719 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.720 * [taylor]: Taking taylor expansion of 2.0 in im 1.720 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 1.720 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.720 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.720 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.720 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.720 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.721 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.721 * [taylor]: Taking taylor expansion of -1 in im 1.721 * [taylor]: Taking taylor expansion of re in im 1.721 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.721 * [taylor]: Taking taylor expansion of -1 in im 1.721 * [taylor]: Taking taylor expansion of re in im 1.721 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.721 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.721 * [taylor]: Taking taylor expansion of -1 in im 1.721 * [taylor]: Taking taylor expansion of im in im 1.721 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.721 * [taylor]: Taking taylor expansion of -1 in im 1.721 * [taylor]: Taking taylor expansion of im in im 1.724 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.724 * [taylor]: Taking taylor expansion of re in im 1.726 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 1.726 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.726 * [taylor]: Taking taylor expansion of 2.0 in re 1.726 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.726 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.726 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.727 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.727 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.727 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.727 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.727 * [taylor]: Taking taylor expansion of -1 in re 1.727 * [taylor]: Taking taylor expansion of re in re 1.727 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.727 * [taylor]: Taking taylor expansion of -1 in re 1.727 * [taylor]: Taking taylor expansion of re in re 1.727 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.727 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.727 * [taylor]: Taking taylor expansion of -1 in re 1.727 * [taylor]: Taking taylor expansion of im in re 1.727 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.727 * [taylor]: Taking taylor expansion of -1 in re 1.727 * [taylor]: Taking taylor expansion of im in re 1.730 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.730 * [taylor]: Taking taylor expansion of re in re 1.736 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 1.736 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.736 * [taylor]: Taking taylor expansion of 2.0 in re 1.737 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.737 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.737 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.737 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.737 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.737 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.737 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.737 * [taylor]: Taking taylor expansion of -1 in re 1.737 * [taylor]: Taking taylor expansion of re in re 1.738 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.738 * [taylor]: Taking taylor expansion of -1 in re 1.738 * [taylor]: Taking taylor expansion of re in re 1.738 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.738 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.738 * [taylor]: Taking taylor expansion of -1 in re 1.738 * [taylor]: Taking taylor expansion of im in re 1.738 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.738 * [taylor]: Taking taylor expansion of -1 in re 1.738 * [taylor]: Taking taylor expansion of im in re 1.741 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.741 * [taylor]: Taking taylor expansion of re in re 1.747 * [taylor]: Taking taylor expansion of 0 in im 1.748 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 1.748 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.748 * [taylor]: Taking taylor expansion of +nan.0 in im 1.748 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.748 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.748 * [taylor]: Taking taylor expansion of 2.0 in im 1.749 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.749 * [taylor]: Taking taylor expansion of im in im 1.757 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 1.757 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.757 * [taylor]: Taking taylor expansion of +nan.0 in im 1.757 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.757 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.757 * [taylor]: Taking taylor expansion of 2.0 in im 1.758 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.758 * [taylor]: Taking taylor expansion of im in im 1.775 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 1.775 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 1.775 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.776 * [taylor]: Taking taylor expansion of +nan.0 in im 1.776 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.776 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.776 * [taylor]: Taking taylor expansion of 2.0 in im 1.776 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.776 * [taylor]: Taking taylor expansion of im in im 1.777 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 1.777 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 1.777 * [taylor]: Taking taylor expansion of +nan.0 in im 1.777 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 1.777 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.778 * [taylor]: Taking taylor expansion of 2.0 in im 1.778 * [taylor]: Taking taylor expansion of (pow im 6) in im 1.778 * [taylor]: Taking taylor expansion of im in im 1.807 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 1.808 * [approximate]: Taking taylor expansion of (* (pow (+ re (hypot re im)) 1/4) (sqrt (sqrt 2.0))) in (re im) around 0 1.808 * [taylor]: Taking taylor expansion of (* (pow (+ re (hypot re im)) 1/4) (sqrt (sqrt 2.0))) in im 1.808 * [taylor]: Taking taylor expansion of (pow (+ re (hypot re im)) 1/4) in im 1.808 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ re (hypot re im))))) in im 1.808 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ re (hypot re im)))) in im 1.808 * [taylor]: Taking taylor expansion of 1/4 in im 1.808 * [taylor]: Taking taylor expansion of (log (+ re (hypot re im))) in im 1.808 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.808 * [taylor]: Taking taylor expansion of re in im 1.808 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.808 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.808 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.808 * [taylor]: Taking taylor expansion of (* re re) in im 1.808 * [taylor]: Taking taylor expansion of re in im 1.808 * [taylor]: Taking taylor expansion of re in im 1.808 * [taylor]: Taking taylor expansion of (* im im) in im 1.808 * [taylor]: Taking taylor expansion of im in im 1.808 * [taylor]: Taking taylor expansion of im in im 1.809 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 1.809 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.809 * [taylor]: Taking taylor expansion of 2.0 in im 1.811 * [taylor]: Taking taylor expansion of (* (pow (+ re (hypot re im)) 1/4) (sqrt (sqrt 2.0))) in re 1.811 * [taylor]: Taking taylor expansion of (pow (+ re (hypot re im)) 1/4) in re 1.811 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ re (hypot re im))))) in re 1.811 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ re (hypot re im)))) in re 1.811 * [taylor]: Taking taylor expansion of 1/4 in re 1.811 * [taylor]: Taking taylor expansion of (log (+ re (hypot re im))) in re 1.811 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.811 * [taylor]: Taking taylor expansion of re in re 1.811 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.811 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.811 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.811 * [taylor]: Taking taylor expansion of (* re re) in re 1.811 * [taylor]: Taking taylor expansion of re in re 1.811 * [taylor]: Taking taylor expansion of re in re 1.811 * [taylor]: Taking taylor expansion of (* im im) in re 1.811 * [taylor]: Taking taylor expansion of im in re 1.811 * [taylor]: Taking taylor expansion of im in re 1.813 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in re 1.813 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.813 * [taylor]: Taking taylor expansion of 2.0 in re 1.814 * [taylor]: Taking taylor expansion of (* (pow (+ re (hypot re im)) 1/4) (sqrt (sqrt 2.0))) in re 1.815 * [taylor]: Taking taylor expansion of (pow (+ re (hypot re im)) 1/4) in re 1.815 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ re (hypot re im))))) in re 1.815 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ re (hypot re im)))) in re 1.815 * [taylor]: Taking taylor expansion of 1/4 in re 1.815 * [taylor]: Taking taylor expansion of (log (+ re (hypot re im))) in re 1.815 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.815 * [taylor]: Taking taylor expansion of re in re 1.815 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.815 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.815 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.815 * [taylor]: Taking taylor expansion of (* re re) in re 1.815 * [taylor]: Taking taylor expansion of re in re 1.815 * [taylor]: Taking taylor expansion of re in re 1.815 * [taylor]: Taking taylor expansion of (* im im) in re 1.815 * [taylor]: Taking taylor expansion of im in re 1.815 * [taylor]: Taking taylor expansion of im in re 1.816 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in re 1.816 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.816 * [taylor]: Taking taylor expansion of 2.0 in re 1.819 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (pow im 1/4)) in im 1.819 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 1.819 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.819 * [taylor]: Taking taylor expansion of 2.0 in im 1.820 * [taylor]: Taking taylor expansion of (pow im 1/4) in im 1.820 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log im))) in im 1.820 * [taylor]: Taking taylor expansion of (* 1/4 (log im)) in im 1.820 * [taylor]: Taking taylor expansion of 1/4 in im 1.820 * [taylor]: Taking taylor expansion of (log im) in im 1.820 * [taylor]: Taking taylor expansion of im in im 1.824 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (sqrt 2.0)) (pow (/ 1 (pow im 3)) 1/4))) in im 1.824 * [taylor]: Taking taylor expansion of 1/4 in im 1.824 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (pow (/ 1 (pow im 3)) 1/4)) in im 1.824 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 1.824 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.824 * [taylor]: Taking taylor expansion of 2.0 in im 1.826 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 3)) 1/4) in im 1.826 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow im 3))))) in im 1.826 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow im 3)))) in im 1.826 * [taylor]: Taking taylor expansion of 1/4 in im 1.826 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 3))) in im 1.826 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 1.826 * [taylor]: Taking taylor expansion of (pow im 3) in im 1.826 * [taylor]: Taking taylor expansion of im in im 1.837 * [taylor]: Taking taylor expansion of (* 1/32 (* (sqrt (sqrt 2.0)) (pow (/ 1 (pow im 7)) 1/4))) in im 1.837 * [taylor]: Taking taylor expansion of 1/32 in im 1.837 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (pow (/ 1 (pow im 7)) 1/4)) in im 1.837 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 1.837 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.837 * [taylor]: Taking taylor expansion of 2.0 in im 1.839 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 7)) 1/4) in im 1.839 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow im 7))))) in im 1.839 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow im 7)))) in im 1.839 * [taylor]: Taking taylor expansion of 1/4 in im 1.839 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 7))) in im 1.839 * [taylor]: Taking taylor expansion of (/ 1 (pow im 7)) in im 1.839 * [taylor]: Taking taylor expansion of (pow im 7) in im 1.839 * [taylor]: Taking taylor expansion of im in im 1.846 * [approximate]: Taking taylor expansion of (* (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/4) (sqrt (sqrt 2.0))) in (re im) around 0 1.846 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/4) (sqrt (sqrt 2.0))) in im 1.846 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/4) in im 1.846 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))))) in im 1.846 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in im 1.846 * [taylor]: Taking taylor expansion of 1/4 in im 1.846 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 1.846 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 1.846 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.846 * [taylor]: Taking taylor expansion of re in im 1.846 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.846 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.846 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.846 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.846 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.846 * [taylor]: Taking taylor expansion of re in im 1.846 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.846 * [taylor]: Taking taylor expansion of re in im 1.846 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.846 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.846 * [taylor]: Taking taylor expansion of im in im 1.847 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.847 * [taylor]: Taking taylor expansion of im in im 1.850 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 1.851 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.851 * [taylor]: Taking taylor expansion of 2.0 in im 1.852 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/4) (sqrt (sqrt 2.0))) in re 1.852 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/4) in re 1.852 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))))) in re 1.852 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re 1.852 * [taylor]: Taking taylor expansion of 1/4 in re 1.852 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 1.852 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.852 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.852 * [taylor]: Taking taylor expansion of re in re 1.853 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.853 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.853 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.853 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.853 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.853 * [taylor]: Taking taylor expansion of re in re 1.853 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.853 * [taylor]: Taking taylor expansion of re in re 1.853 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.853 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.854 * [taylor]: Taking taylor expansion of im in re 1.854 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.854 * [taylor]: Taking taylor expansion of im in re 1.858 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in re 1.858 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.858 * [taylor]: Taking taylor expansion of 2.0 in re 1.860 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/4) (sqrt (sqrt 2.0))) in re 1.860 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/4) in re 1.860 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))))) in re 1.860 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re 1.860 * [taylor]: Taking taylor expansion of 1/4 in re 1.860 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 1.860 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.860 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.860 * [taylor]: Taking taylor expansion of re in re 1.860 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.860 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.860 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.860 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.860 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.860 * [taylor]: Taking taylor expansion of re in re 1.861 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.861 * [taylor]: Taking taylor expansion of re in re 1.861 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.861 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.861 * [taylor]: Taking taylor expansion of im in re 1.861 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.861 * [taylor]: Taking taylor expansion of im in re 1.865 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in re 1.865 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.865 * [taylor]: Taking taylor expansion of 2.0 in re 1.868 * [taylor]: Taking taylor expansion of (* (exp (* 1/4 (- (log 2) (log re)))) (sqrt (sqrt 2.0))) in im 1.868 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log 2) (log re)))) in im 1.868 * [taylor]: Taking taylor expansion of (* 1/4 (- (log 2) (log re))) in im 1.868 * [taylor]: Taking taylor expansion of 1/4 in im 1.868 * [taylor]: Taking taylor expansion of (- (log 2) (log re)) in im 1.868 * [taylor]: Taking taylor expansion of (log 2) in im 1.868 * [taylor]: Taking taylor expansion of 2 in im 1.869 * [taylor]: Taking taylor expansion of (log re) in im 1.869 * [taylor]: Taking taylor expansion of re in im 1.870 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 1.870 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.870 * [taylor]: Taking taylor expansion of 2.0 in im 1.877 * [taylor]: Taking taylor expansion of 0 in im 1.894 * [taylor]: Taking taylor expansion of (* 1/16 (* (/ (exp (* 1/4 (- (log 2) (log re)))) (pow im 2)) (sqrt (sqrt 2.0)))) in im 1.894 * [taylor]: Taking taylor expansion of 1/16 in im 1.894 * [taylor]: Taking taylor expansion of (* (/ (exp (* 1/4 (- (log 2) (log re)))) (pow im 2)) (sqrt (sqrt 2.0))) in im 1.894 * [taylor]: Taking taylor expansion of (/ (exp (* 1/4 (- (log 2) (log re)))) (pow im 2)) in im 1.894 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log 2) (log re)))) in im 1.894 * [taylor]: Taking taylor expansion of (* 1/4 (- (log 2) (log re))) in im 1.894 * [taylor]: Taking taylor expansion of 1/4 in im 1.894 * [taylor]: Taking taylor expansion of (- (log 2) (log re)) in im 1.894 * [taylor]: Taking taylor expansion of (log 2) in im 1.895 * [taylor]: Taking taylor expansion of 2 in im 1.895 * [taylor]: Taking taylor expansion of (log re) in im 1.895 * [taylor]: Taking taylor expansion of re in im 1.896 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.896 * [taylor]: Taking taylor expansion of im in im 1.896 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 1.896 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.896 * [taylor]: Taking taylor expansion of 2.0 in im 1.932 * [taylor]: Taking taylor expansion of 0 in im 1.934 * [approximate]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/4)) in (re im) around 0 1.934 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/4)) in im 1.934 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 1.934 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.934 * [taylor]: Taking taylor expansion of 2.0 in im 1.936 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/4) in im 1.936 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in im 1.936 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 1.936 * [taylor]: Taking taylor expansion of 1/4 in im 1.936 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 1.936 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.936 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.936 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.936 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.936 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.936 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.936 * [taylor]: Taking taylor expansion of -1 in im 1.936 * [taylor]: Taking taylor expansion of re in im 1.936 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.936 * [taylor]: Taking taylor expansion of -1 in im 1.936 * [taylor]: Taking taylor expansion of re in im 1.936 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.936 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.936 * [taylor]: Taking taylor expansion of -1 in im 1.936 * [taylor]: Taking taylor expansion of im in im 1.937 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.937 * [taylor]: Taking taylor expansion of -1 in im 1.937 * [taylor]: Taking taylor expansion of im in im 1.940 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.940 * [taylor]: Taking taylor expansion of re in im 1.941 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/4)) in re 1.941 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in re 1.941 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.941 * [taylor]: Taking taylor expansion of 2.0 in re 1.942 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/4) in re 1.943 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in re 1.943 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 1.943 * [taylor]: Taking taylor expansion of 1/4 in re 1.943 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.943 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.943 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.943 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.943 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.943 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.943 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.943 * [taylor]: Taking taylor expansion of -1 in re 1.943 * [taylor]: Taking taylor expansion of re in re 1.943 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.943 * [taylor]: Taking taylor expansion of -1 in re 1.943 * [taylor]: Taking taylor expansion of re in re 1.943 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.943 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.943 * [taylor]: Taking taylor expansion of -1 in re 1.944 * [taylor]: Taking taylor expansion of im in re 1.944 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.944 * [taylor]: Taking taylor expansion of -1 in re 1.944 * [taylor]: Taking taylor expansion of im in re 1.946 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.946 * [taylor]: Taking taylor expansion of re in re 1.952 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/4)) in re 1.952 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in re 1.952 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.952 * [taylor]: Taking taylor expansion of 2.0 in re 1.954 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/4) in re 1.954 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in re 1.954 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 1.954 * [taylor]: Taking taylor expansion of 1/4 in re 1.954 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.954 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.954 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.954 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.954 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.954 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.954 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.954 * [taylor]: Taking taylor expansion of -1 in re 1.954 * [taylor]: Taking taylor expansion of re in re 1.955 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.955 * [taylor]: Taking taylor expansion of -1 in re 1.955 * [taylor]: Taking taylor expansion of re in re 1.955 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.955 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.955 * [taylor]: Taking taylor expansion of -1 in re 1.955 * [taylor]: Taking taylor expansion of im in re 1.955 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.955 * [taylor]: Taking taylor expansion of -1 in re 1.955 * [taylor]: Taking taylor expansion of im in re 1.958 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.958 * [taylor]: Taking taylor expansion of re in re 1.965 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (exp (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re))))) in im 1.965 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 1.965 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.965 * [taylor]: Taking taylor expansion of 2.0 in im 1.966 * [taylor]: Taking taylor expansion of (exp (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re)))) in im 1.966 * [taylor]: Taking taylor expansion of (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re))) in im 1.966 * [taylor]: Taking taylor expansion of 1/4 in im 1.966 * [taylor]: Taking taylor expansion of (+ (log (/ 1/2 (pow im 2))) (log re)) in im 1.966 * [taylor]: Taking taylor expansion of (log (/ 1/2 (pow im 2))) in im 1.966 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.967 * [taylor]: Taking taylor expansion of 1/2 in im 1.967 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.967 * [taylor]: Taking taylor expansion of im in im 1.967 * [taylor]: Taking taylor expansion of (log re) in im 1.967 * [taylor]: Taking taylor expansion of re in im 1.980 * [taylor]: Taking taylor expansion of 0 in im 1.994 * [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 1.994 * [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 1.994 * [taylor]: Taking taylor expansion of 1/16 in im 1.994 * [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 1.994 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 1.994 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.994 * [taylor]: Taking taylor expansion of 2.0 in im 1.996 * [taylor]: Taking taylor expansion of (/ (exp (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re)))) (pow im 2)) in im 1.996 * [taylor]: Taking taylor expansion of (exp (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re)))) in im 1.996 * [taylor]: Taking taylor expansion of (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re))) in im 1.996 * [taylor]: Taking taylor expansion of 1/4 in im 1.996 * [taylor]: Taking taylor expansion of (+ (log (/ 1/2 (pow im 2))) (log re)) in im 1.996 * [taylor]: Taking taylor expansion of (log (/ 1/2 (pow im 2))) in im 1.996 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.996 * [taylor]: Taking taylor expansion of 1/2 in im 1.996 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.996 * [taylor]: Taking taylor expansion of im in im 1.997 * [taylor]: Taking taylor expansion of (log re) in im 1.997 * [taylor]: Taking taylor expansion of re in im 1.999 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.999 * [taylor]: Taking taylor expansion of im in im 2.037 * [taylor]: Taking taylor expansion of 0 in im 2.038 * * * [progress]: simplifying candidates 2.040 * [simplify]: Simplifying using # : (expm1 (+ (* (sqrt 1) (hypot re im)) re)) (log1p (+ (* (sqrt 1) (hypot re im)) re)) (* (exp (* (sqrt 1) (hypot re im))) (exp re)) (log (+ (* (sqrt 1) (hypot re im)) re)) (exp (+ (* (sqrt 1) (hypot re im)) re)) (* (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (* (* (+ (* (sqrt 1) (hypot re im)) re) (+ (* (sqrt 1) (hypot re im)) re)) (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3)) (+ (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (- (* re re) (* (* (sqrt 1) (hypot re im)) re))) (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re)) (- (* (sqrt 1) (hypot re im)) re) (expm1 (+ (* (sqrt 1) (hypot re im)) re)) (log1p (+ (* (sqrt 1) (hypot re im)) re)) (* (exp (* (sqrt 1) (hypot re im))) (exp re)) (log (+ (* (sqrt 1) (hypot re im)) re)) (exp (+ (* (sqrt 1) (hypot re im)) re)) (* (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (* (* (+ (* (sqrt 1) (hypot re im)) re) (+ (* (sqrt 1) (hypot re im)) re)) (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3)) (+ (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (- (* re re) (* (* (sqrt 1) (hypot re im)) re))) (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re)) (- (* (sqrt 1) (hypot re im)) re) (expm1 (* (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) (log1p (* (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) (+ 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) 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)) (* (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (* (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)) (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (* (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)) (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))) (* (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)) (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))) (* (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)) (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))) (* (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)) (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))) (+ 1 1) (+ (log (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (log (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) (log (* (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) (exp (* (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) (* (* (* (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (* (* (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) (* (cbrt (* (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) (cbrt (* (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))))) (cbrt (* (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) (* (* (* (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (* (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) (* (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) (* (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (* (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) (sqrt (* (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) (* (sqrt (sqrt (* 2.0 (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3))))) (sqrt (sqrt (* 2.0 (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3)))))) (* (sqrt (sqrt (+ (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (- (* re re) (* (* (sqrt 1) (hypot re im)) re))))) (sqrt (sqrt (+ (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (- (* re re) (* (* (sqrt 1) (hypot re im)) re)))))) (* (sqrt (sqrt (* 2.0 (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3))))) (sqrt (sqrt (* 2.0 (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re)))))) (* (sqrt (sqrt (+ (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (- (* re re) (* (* (sqrt 1) (hypot re im)) re))))) (sqrt (sqrt (- (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (* 2.0 (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re))))) (sqrt (sqrt (* 2.0 (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3)))))) (* (sqrt (sqrt (- (* (sqrt 1) (hypot re im)) re))) (sqrt (sqrt (+ (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (- (* re re) (* (* (sqrt 1) (hypot re im)) re)))))) (* (sqrt (sqrt (* 2.0 (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re))))) (sqrt (sqrt (* 2.0 (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re)))))) (* (sqrt (sqrt (- (* (sqrt 1) (hypot re im)) re))) (sqrt (sqrt (- (* (sqrt 1) (hypot re im)) re)))) (* (* (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) (* (sqrt (* (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) (sqrt (* (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))))) (* (sqrt (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (sqrt (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) (* (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (sqrt (sqrt 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re)))))) (* (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) (* 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)) (* (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))))) (* (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (* (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))))) (* (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) (* (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt 1)) (* (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (sqrt (* 2.0 (+ (* 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re)))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (sqrt (* (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) (sqrt (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (sqrt 1) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3))))) (sqrt (sqrt (+ (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (- (* re re) (* (* (sqrt 1) (hypot re im)) re))))) (sqrt (sqrt (* 2.0 (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re))))) (sqrt (sqrt (- (* (sqrt 1) (hypot re im)) re))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (+ re im) (* 2 re) 0 (+ re im) (* 2 re) 0 (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0 (+ (* 1/32 (* (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))))))) 2.049 * * [simplify]: iteration 0 : 413 enodes (cost 1260 ) 2.059 * * [simplify]: iteration 1 : 1675 enodes (cost 1125 ) 2.094 * * [simplify]: iteration 2 : 5001 enodes (cost 1073 ) 2.099 * [simplify]: Simplified to: (expm1 (+ (* (sqrt 1) (hypot re im)) re)) (log1p (+ (* (sqrt 1) (hypot re im)) re)) (exp (+ re (* (hypot re im) 1))) (log (+ (* (sqrt 1) (hypot re im)) re)) (exp (+ re (* (hypot re im) 1))) (* (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (pow (fma (hypot re im) 1 re) 3) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (fma (pow re 2) re (pow (hypot re im) 3)) (fma (hypot re im) (hypot re im) (* re (- re (* (sqrt 1) (hypot re im))))) (- (* (hypot re im) (hypot re im)) (pow re 2)) (- (hypot re im) re) (expm1 (+ (* (sqrt 1) (hypot re im)) re)) (log1p (+ (* (sqrt 1) (hypot re im)) re)) (exp (+ re (* (hypot re im) 1))) (log (+ (* (sqrt 1) (hypot re im)) re)) (exp (+ re (* (hypot re im) 1))) (* (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (pow (fma (hypot re im) 1 re) 3) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (fma (pow re 2) re (pow (hypot re im) 3)) (fma (hypot re im) (hypot re im) (* re (- re (* (sqrt 1) (hypot re im))))) (- (* (hypot re im) (hypot re im)) (pow re 2)) (- (hypot re im) re) (expm1 (* (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) (log1p (* (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) 1 1 2 1/2 1/2 1/2 1 1 1/2 1/2 1/2 1/2 1/2 1/2 (* (fma (sqrt 1) (hypot re im) re) 2.0) (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))) (pow (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))) 4) (* (fma (sqrt 1) (hypot re im) re) 2.0) (pow (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))) 4) (pow (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))) 4) (pow (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))) 4) (pow (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))) 4) 2 (* 2 (log (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) (* 2 (log (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) (pow (exp 1) (sqrt (* 2.0 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re)))) (* (sqrt (sqrt (* 2.0 (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3))))) (sqrt (sqrt (* 2.0 (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re)))))) (* (sqrt (sqrt (+ (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (- (* re re) (* (* (sqrt 1) (hypot re im)) re))))) (sqrt (sqrt (- (* (sqrt 1) (hypot re im)) re)))) (sqrt (* 2.0 (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re)))) (sqrt (- (* (sqrt 1) (hypot re im)) re)) (pow (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) 4) (* (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) (* (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) 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(cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))))) (* (fabs (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (* (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt 2.0))) (pow (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) 3) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (pow (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) 3) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (pow (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) 4) (* (sqrt (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (* (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (pow (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) 3) (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))) (pow (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) 3) (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3)))))) (* (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re)))))) (* (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3)))))) (* (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re)))))) (expm1 (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (log1p (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (log (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (exp (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (pow (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) 3) (fabs (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (sqrt (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) 1 (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3))))) (sqrt (sqrt (+ (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (- (* re re) (* (* (sqrt 1) (hypot re im)) re))))) (sqrt (sqrt (* 2.0 (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re))))) (sqrt (sqrt (- (* (sqrt 1) (hypot re im)) re))) 1/4 1/2 1/4 1/4 (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (+ re im) (* 2 re) 0 (+ re im) (* 2 re) 0 (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 (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))))))) 2.100 * * * [progress]: adding candidates to table 2.462 * * [progress]: iteration 4 / 4 2.463 * * * [progress]: picking best candidate 2.468 * * * * [pick]: Picked # 2.468 * * * [progress]: localizing error 2.479 * * * [progress]: generating rewritten candidates 2.479 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2) 2.497 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 2.506 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 2) 2.510 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 2.549 * * * [progress]: generating series expansions 2.549 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2) 2.549 * [approximate]: Taking taylor expansion of (/ (pow im 2) (- (hypot re im) re)) in (im re) around 0 2.549 * [taylor]: Taking taylor expansion of (/ (pow im 2) (- (hypot re im) re)) in re 2.549 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.549 * [taylor]: Taking taylor expansion of im in re 2.549 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 2.549 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.549 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.549 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.549 * [taylor]: Taking taylor expansion of (* re re) in re 2.549 * [taylor]: Taking taylor expansion of re in re 2.549 * [taylor]: Taking taylor expansion of re in re 2.549 * [taylor]: Taking taylor expansion of (* im im) in re 2.549 * [taylor]: Taking taylor expansion of im in re 2.549 * [taylor]: Taking taylor expansion of im in re 2.551 * [taylor]: Taking taylor expansion of re in re 2.551 * [taylor]: Taking taylor expansion of (/ (pow im 2) (- (hypot re im) re)) in im 2.551 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.551 * [taylor]: Taking taylor expansion of im in im 2.551 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 2.551 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.551 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.551 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.551 * [taylor]: Taking taylor expansion of (* re re) in im 2.551 * [taylor]: Taking taylor expansion of re in im 2.551 * [taylor]: Taking taylor expansion of re in im 2.551 * [taylor]: Taking taylor expansion of (* im im) in im 2.551 * [taylor]: Taking taylor expansion of im in im 2.551 * [taylor]: Taking taylor expansion of im in im 2.553 * [taylor]: Taking taylor expansion of re in im 2.555 * [taylor]: Taking taylor expansion of (/ (pow im 2) (- (hypot re im) re)) in im 2.555 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.555 * [taylor]: Taking taylor expansion of im in im 2.555 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 2.555 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.555 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.555 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.555 * [taylor]: Taking taylor expansion of (* re re) in im 2.555 * [taylor]: Taking taylor expansion of re in im 2.555 * [taylor]: Taking taylor expansion of re in im 2.555 * [taylor]: Taking taylor expansion of (* im im) in im 2.555 * [taylor]: Taking taylor expansion of im in im 2.555 * [taylor]: Taking taylor expansion of im in im 2.557 * [taylor]: Taking taylor expansion of re in im 2.559 * [taylor]: Taking taylor expansion of (* 2 re) in re 2.559 * [taylor]: Taking taylor expansion of 2 in re 2.559 * [taylor]: Taking taylor expansion of re in re 2.562 * [taylor]: Taking taylor expansion of 0 in re 2.566 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 re)) in re 2.566 * [taylor]: Taking taylor expansion of 1/2 in re 2.566 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.566 * [taylor]: Taking taylor expansion of re in re 2.571 * [taylor]: Taking taylor expansion of 0 in re 2.573 * [approximate]: Taking taylor expansion of (/ 1 (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (pow im 2))) in (im re) around 0 2.573 * [taylor]: Taking taylor expansion of (/ 1 (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (pow im 2))) in re 2.573 * [taylor]: Taking taylor expansion of (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (pow im 2)) in re 2.573 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.573 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.573 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.573 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.573 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.573 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.573 * [taylor]: Taking taylor expansion of re in re 2.573 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.573 * [taylor]: Taking taylor expansion of re in re 2.574 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.574 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.574 * [taylor]: Taking taylor expansion of im in re 2.574 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.574 * [taylor]: Taking taylor expansion of im in re 2.577 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.577 * [taylor]: Taking taylor expansion of re in re 2.577 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.577 * [taylor]: Taking taylor expansion of im in re 2.583 * [taylor]: Taking taylor expansion of (/ 1 (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (pow im 2))) in im 2.583 * [taylor]: Taking taylor expansion of (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (pow im 2)) in im 2.583 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 2.583 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.583 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.583 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.583 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.583 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.583 * [taylor]: Taking taylor expansion of re in im 2.584 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.584 * [taylor]: Taking taylor expansion of re in im 2.584 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.584 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.584 * [taylor]: Taking taylor expansion of im in im 2.584 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.584 * [taylor]: Taking taylor expansion of im in im 2.587 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.587 * [taylor]: Taking taylor expansion of re in im 2.587 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.587 * [taylor]: Taking taylor expansion of im in im 2.588 * [taylor]: Taking taylor expansion of (/ 1 (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (pow im 2))) in im 2.588 * [taylor]: Taking taylor expansion of (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (pow im 2)) in im 2.588 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 2.588 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.588 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.588 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.588 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.588 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.588 * [taylor]: Taking taylor expansion of re in im 2.588 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.588 * [taylor]: Taking taylor expansion of re in im 2.588 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.588 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.588 * [taylor]: Taking taylor expansion of im in im 2.588 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.589 * [taylor]: Taking taylor expansion of im in im 2.591 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.591 * [taylor]: Taking taylor expansion of re in im 2.591 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.591 * [taylor]: Taking taylor expansion of im in im 2.593 * [taylor]: Taking taylor expansion of 1 in re 2.593 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.593 * [taylor]: Taking taylor expansion of re in re 2.598 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 2.598 * [taylor]: Taking taylor expansion of 1/2 in re 2.598 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.598 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.598 * [taylor]: Taking taylor expansion of re in re 2.609 * [taylor]: Taking taylor expansion of 0 in re 2.611 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) (pow im 2))) in (im re) around 0 2.611 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) (pow im 2))) in re 2.611 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) (pow im 2)) in re 2.611 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 2.611 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.611 * [taylor]: Taking taylor expansion of re in re 2.612 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.612 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.612 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.612 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.612 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.612 * [taylor]: Taking taylor expansion of -1 in re 2.612 * [taylor]: Taking taylor expansion of re in re 2.612 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.612 * [taylor]: Taking taylor expansion of -1 in re 2.612 * [taylor]: Taking taylor expansion of re in re 2.613 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.613 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.613 * [taylor]: Taking taylor expansion of -1 in re 2.613 * [taylor]: Taking taylor expansion of im in re 2.613 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.613 * [taylor]: Taking taylor expansion of -1 in re 2.613 * [taylor]: Taking taylor expansion of im in re 2.615 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.616 * [taylor]: Taking taylor expansion of im in re 2.616 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) (pow im 2))) in im 2.616 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) (pow im 2)) in im 2.616 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 2.616 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.616 * [taylor]: Taking taylor expansion of re in im 2.616 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.616 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.616 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.616 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.616 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.616 * [taylor]: Taking taylor expansion of -1 in im 2.616 * [taylor]: Taking taylor expansion of re in im 2.616 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.616 * [taylor]: Taking taylor expansion of -1 in im 2.616 * [taylor]: Taking taylor expansion of re in im 2.616 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.616 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.616 * [taylor]: Taking taylor expansion of -1 in im 2.616 * [taylor]: Taking taylor expansion of im in im 2.617 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.617 * [taylor]: Taking taylor expansion of -1 in im 2.617 * [taylor]: Taking taylor expansion of im in im 2.620 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.620 * [taylor]: Taking taylor expansion of im in im 2.621 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) (pow im 2))) in im 2.621 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) (pow im 2)) in im 2.621 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 2.621 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.621 * [taylor]: Taking taylor expansion of re in im 2.621 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.621 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.621 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.621 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.621 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.621 * [taylor]: Taking taylor expansion of -1 in im 2.621 * [taylor]: Taking taylor expansion of re in im 2.621 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.621 * [taylor]: Taking taylor expansion of -1 in im 2.621 * [taylor]: Taking taylor expansion of re in im 2.621 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.621 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.621 * [taylor]: Taking taylor expansion of -1 in im 2.621 * [taylor]: Taking taylor expansion of im in im 2.622 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.622 * [taylor]: Taking taylor expansion of -1 in im 2.622 * [taylor]: Taking taylor expansion of im in im 2.625 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.625 * [taylor]: Taking taylor expansion of im in im 2.626 * [taylor]: Taking taylor expansion of 1 in re 2.627 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 2.627 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.627 * [taylor]: Taking taylor expansion of re in re 2.632 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 2.632 * [taylor]: Taking taylor expansion of 1/2 in re 2.632 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.632 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.632 * [taylor]: Taking taylor expansion of re in re 2.638 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 2.638 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (hypot re im) re)))) in (im re) around 0 2.638 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (hypot re im) re)))) in re 2.638 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re 2.638 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.638 * [taylor]: Taking taylor expansion of 2.0 in re 2.639 * [taylor]: Taking taylor expansion of im in re 2.639 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (hypot re im) re))) in re 2.639 * [taylor]: Taking taylor expansion of (/ 1 (- (hypot re im) re)) in re 2.639 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 2.639 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.639 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.639 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.639 * [taylor]: Taking taylor expansion of (* re re) in re 2.639 * [taylor]: Taking taylor expansion of re in re 2.639 * [taylor]: Taking taylor expansion of re in re 2.639 * [taylor]: Taking taylor expansion of (* im im) in re 2.639 * [taylor]: Taking taylor expansion of im in re 2.639 * [taylor]: Taking taylor expansion of im in re 2.640 * [taylor]: Taking taylor expansion of re in re 2.641 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (hypot re im) re)))) in im 2.641 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 2.641 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.641 * [taylor]: Taking taylor expansion of 2.0 in im 2.642 * [taylor]: Taking taylor expansion of im in im 2.642 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (hypot re im) re))) in im 2.642 * [taylor]: Taking taylor expansion of (/ 1 (- (hypot re im) re)) in im 2.642 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 2.642 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.642 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.642 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.642 * [taylor]: Taking taylor expansion of (* re re) in im 2.642 * [taylor]: Taking taylor expansion of re in im 2.642 * [taylor]: Taking taylor expansion of re in im 2.642 * [taylor]: Taking taylor expansion of (* im im) in im 2.642 * [taylor]: Taking taylor expansion of im in im 2.642 * [taylor]: Taking taylor expansion of im in im 2.643 * [taylor]: Taking taylor expansion of re in im 2.648 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (hypot re im) re)))) in im 2.648 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 2.648 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.648 * [taylor]: Taking taylor expansion of 2.0 in im 2.648 * [taylor]: Taking taylor expansion of im in im 2.648 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (hypot re im) re))) in im 2.648 * [taylor]: Taking taylor expansion of (/ 1 (- (hypot re im) re)) in im 2.648 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 2.648 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.649 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.649 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.649 * [taylor]: Taking taylor expansion of (* re re) in im 2.649 * [taylor]: Taking taylor expansion of re in im 2.649 * [taylor]: Taking taylor expansion of re in im 2.649 * [taylor]: Taking taylor expansion of (* im im) in im 2.649 * [taylor]: Taking taylor expansion of im in im 2.649 * [taylor]: Taking taylor expansion of im in im 2.650 * [taylor]: Taking taylor expansion of re in im 2.655 * [taylor]: Taking taylor expansion of 0 in re 2.657 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 2)) (sqrt re)) in re 2.657 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 2)) in re 2.657 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.657 * [taylor]: Taking taylor expansion of 2.0 in re 2.658 * [taylor]: Taking taylor expansion of (sqrt 2) in re 2.658 * [taylor]: Taking taylor expansion of 2 in re 2.658 * [taylor]: Taking taylor expansion of (sqrt re) in re 2.658 * [taylor]: Taking taylor expansion of re in re 2.667 * [taylor]: Taking taylor expansion of 0 in re 2.680 * [taylor]: Taking taylor expansion of (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) in re 2.680 * [taylor]: Taking taylor expansion of 1/4 in re 2.680 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3)))) in re 2.680 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 2)) in re 2.680 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.680 * [taylor]: Taking taylor expansion of 2.0 in re 2.681 * [taylor]: Taking taylor expansion of (sqrt 2) in re 2.681 * [taylor]: Taking taylor expansion of 2 in re 2.682 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 3))) in re 2.682 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re 2.682 * [taylor]: Taking taylor expansion of (pow re 3) in re 2.682 * [taylor]: Taking taylor expansion of re in re 2.723 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) (/ (sqrt 2.0) im)) in (im re) around 0 2.723 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) (/ (sqrt 2.0) im)) in re 2.723 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in re 2.723 * [taylor]: Taking taylor expansion of (/ 1 (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 2.723 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.723 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.723 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.723 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.723 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.723 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.723 * [taylor]: Taking taylor expansion of re in re 2.724 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.724 * [taylor]: Taking taylor expansion of re in re 2.724 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.724 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.724 * [taylor]: Taking taylor expansion of im in re 2.724 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.724 * [taylor]: Taking taylor expansion of im in re 2.727 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.727 * [taylor]: Taking taylor expansion of re in re 2.732 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 2.732 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.733 * [taylor]: Taking taylor expansion of 2.0 in re 2.733 * [taylor]: Taking taylor expansion of im in re 2.734 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) (/ (sqrt 2.0) im)) in im 2.734 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in im 2.734 * [taylor]: Taking taylor expansion of (/ 1 (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 2.734 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 2.734 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.734 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.734 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.734 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.734 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.734 * [taylor]: Taking taylor expansion of re in im 2.734 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.734 * [taylor]: Taking taylor expansion of re in im 2.734 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.734 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.734 * [taylor]: Taking taylor expansion of im in im 2.734 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.734 * [taylor]: Taking taylor expansion of im in im 2.737 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.737 * [taylor]: Taking taylor expansion of re in im 2.739 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.739 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.739 * [taylor]: Taking taylor expansion of 2.0 in im 2.740 * [taylor]: Taking taylor expansion of im in im 2.740 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) (/ (sqrt 2.0) im)) in im 2.740 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in im 2.740 * [taylor]: Taking taylor expansion of (/ 1 (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 2.740 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 2.740 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.740 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.740 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.740 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.740 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.740 * [taylor]: Taking taylor expansion of re in im 2.740 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.741 * [taylor]: Taking taylor expansion of re in im 2.741 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.741 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.741 * [taylor]: Taking taylor expansion of im in im 2.741 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.741 * [taylor]: Taking taylor expansion of im in im 2.744 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.744 * [taylor]: Taking taylor expansion of re in im 2.745 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.745 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.745 * [taylor]: Taking taylor expansion of 2.0 in im 2.746 * [taylor]: Taking taylor expansion of im in im 2.747 * [taylor]: Taking taylor expansion of 0 in re 2.749 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 2.749 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 2.749 * [taylor]: Taking taylor expansion of +nan.0 in re 2.749 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.749 * [taylor]: Taking taylor expansion of 2.0 in re 2.753 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 2.753 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 2.753 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 2.753 * [taylor]: Taking taylor expansion of +nan.0 in re 2.753 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.753 * [taylor]: Taking taylor expansion of 2.0 in re 2.754 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 2.754 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 2.754 * [taylor]: Taking taylor expansion of +nan.0 in re 2.754 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 2.754 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.754 * [taylor]: Taking taylor expansion of 2.0 in re 2.755 * [taylor]: Taking taylor expansion of re in re 2.771 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re 2.771 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re 2.771 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 2.771 * [taylor]: Taking taylor expansion of +nan.0 in re 2.771 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.771 * [taylor]: Taking taylor expansion of 2.0 in re 2.771 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 2.772 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 2.772 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 2.772 * [taylor]: Taking taylor expansion of +nan.0 in re 2.772 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 2.772 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.772 * [taylor]: Taking taylor expansion of 2.0 in re 2.772 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.772 * [taylor]: Taking taylor expansion of re in re 2.773 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 2.773 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 2.773 * [taylor]: Taking taylor expansion of +nan.0 in re 2.773 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 2.773 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.773 * [taylor]: Taking taylor expansion of 2.0 in re 2.774 * [taylor]: Taking taylor expansion of re in re 2.794 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))))) in (im re) around 0 2.794 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))))) in re 2.794 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 2.794 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.794 * [taylor]: Taking taylor expansion of 2.0 in re 2.795 * [taylor]: Taking taylor expansion of im in re 2.795 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 2.795 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 2.795 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 2.795 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.795 * [taylor]: Taking taylor expansion of re in re 2.796 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.796 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.796 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.796 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.796 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.796 * [taylor]: Taking taylor expansion of -1 in re 2.796 * [taylor]: Taking taylor expansion of re in re 2.796 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.796 * [taylor]: Taking taylor expansion of -1 in re 2.796 * [taylor]: Taking taylor expansion of re in re 2.797 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.797 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.797 * [taylor]: Taking taylor expansion of -1 in re 2.797 * [taylor]: Taking taylor expansion of im in re 2.797 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.797 * [taylor]: Taking taylor expansion of -1 in re 2.797 * [taylor]: Taking taylor expansion of im in re 2.801 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))))) in im 2.801 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.801 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.801 * [taylor]: Taking taylor expansion of 2.0 in im 2.802 * [taylor]: Taking taylor expansion of im in im 2.803 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in im 2.803 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in im 2.803 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 2.803 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.803 * [taylor]: Taking taylor expansion of re in im 2.803 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.803 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.803 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.803 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.803 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.803 * [taylor]: Taking taylor expansion of -1 in im 2.803 * [taylor]: Taking taylor expansion of re in im 2.803 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.803 * [taylor]: Taking taylor expansion of -1 in im 2.803 * [taylor]: Taking taylor expansion of re in im 2.803 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.803 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.803 * [taylor]: Taking taylor expansion of -1 in im 2.803 * [taylor]: Taking taylor expansion of im in im 2.803 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.803 * [taylor]: Taking taylor expansion of -1 in im 2.803 * [taylor]: Taking taylor expansion of im in im 2.808 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))))) in im 2.808 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.808 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.808 * [taylor]: Taking taylor expansion of 2.0 in im 2.809 * [taylor]: Taking taylor expansion of im in im 2.809 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in im 2.809 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in im 2.809 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 2.809 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.809 * [taylor]: Taking taylor expansion of re in im 2.809 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.810 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.810 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.810 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.810 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.810 * [taylor]: Taking taylor expansion of -1 in im 2.810 * [taylor]: Taking taylor expansion of re in im 2.810 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.810 * [taylor]: Taking taylor expansion of -1 in im 2.810 * [taylor]: Taking taylor expansion of re in im 2.810 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.810 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.810 * [taylor]: Taking taylor expansion of -1 in im 2.810 * [taylor]: Taking taylor expansion of im in im 2.810 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.810 * [taylor]: Taking taylor expansion of -1 in im 2.810 * [taylor]: Taking taylor expansion of im in im 2.815 * [taylor]: Taking taylor expansion of 0 in re 2.817 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 2.817 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 2.817 * [taylor]: Taking taylor expansion of +nan.0 in re 2.817 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.817 * [taylor]: Taking taylor expansion of 2.0 in re 2.824 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 2.824 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 2.824 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 2.824 * [taylor]: Taking taylor expansion of +nan.0 in re 2.824 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.824 * [taylor]: Taking taylor expansion of 2.0 in re 2.825 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 2.825 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 2.825 * [taylor]: Taking taylor expansion of +nan.0 in re 2.825 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 2.825 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.825 * [taylor]: Taking taylor expansion of 2.0 in re 2.825 * [taylor]: Taking taylor expansion of re in re 2.839 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re 2.839 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re 2.839 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 2.839 * [taylor]: Taking taylor expansion of +nan.0 in re 2.839 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.839 * [taylor]: Taking taylor expansion of 2.0 in re 2.840 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 2.840 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 2.840 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 2.840 * [taylor]: Taking taylor expansion of +nan.0 in re 2.840 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 2.840 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.840 * [taylor]: Taking taylor expansion of 2.0 in re 2.841 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.841 * [taylor]: Taking taylor expansion of re in re 2.842 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 2.842 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 2.842 * [taylor]: Taking taylor expansion of +nan.0 in re 2.842 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 2.842 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.842 * [taylor]: Taking taylor expansion of 2.0 in re 2.842 * [taylor]: Taking taylor expansion of re in re 2.855 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 2) 2.855 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 2.855 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 2.855 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.856 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.856 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.856 * [taylor]: Taking taylor expansion of (* re re) in im 2.856 * [taylor]: Taking taylor expansion of re in im 2.856 * [taylor]: Taking taylor expansion of re in im 2.856 * [taylor]: Taking taylor expansion of (* im im) in im 2.856 * [taylor]: Taking taylor expansion of im in im 2.856 * [taylor]: Taking taylor expansion of im in im 2.857 * [taylor]: Taking taylor expansion of re in im 2.857 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 2.857 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.857 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.857 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.857 * [taylor]: Taking taylor expansion of (* re re) in re 2.857 * [taylor]: Taking taylor expansion of re in re 2.857 * [taylor]: Taking taylor expansion of re in re 2.857 * [taylor]: Taking taylor expansion of (* im im) in re 2.857 * [taylor]: Taking taylor expansion of im in re 2.857 * [taylor]: Taking taylor expansion of im in re 2.858 * [taylor]: Taking taylor expansion of re in re 2.858 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 2.858 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.858 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.858 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.858 * [taylor]: Taking taylor expansion of (* re re) in re 2.858 * [taylor]: Taking taylor expansion of re in re 2.858 * [taylor]: Taking taylor expansion of re in re 2.858 * [taylor]: Taking taylor expansion of (* im im) in re 2.859 * [taylor]: Taking taylor expansion of im in re 2.859 * [taylor]: Taking taylor expansion of im in re 2.860 * [taylor]: Taking taylor expansion of re in re 2.860 * [taylor]: Taking taylor expansion of im in im 2.861 * [taylor]: Taking taylor expansion of -1 in im 2.862 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.862 * [taylor]: Taking taylor expansion of 1/2 in im 2.862 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.862 * [taylor]: Taking taylor expansion of im in im 2.865 * [taylor]: Taking taylor expansion of 0 in im 2.867 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 2.867 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 2.867 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.867 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.867 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.867 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.867 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.867 * [taylor]: Taking taylor expansion of re in im 2.867 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.867 * [taylor]: Taking taylor expansion of re in im 2.867 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.867 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.867 * [taylor]: Taking taylor expansion of im in im 2.867 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.867 * [taylor]: Taking taylor expansion of im in im 2.870 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.871 * [taylor]: Taking taylor expansion of re in im 2.871 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.871 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.871 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.871 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.871 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.871 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.871 * [taylor]: Taking taylor expansion of re in re 2.871 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.871 * [taylor]: Taking taylor expansion of re in re 2.871 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.871 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.871 * [taylor]: Taking taylor expansion of im in re 2.871 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.871 * [taylor]: Taking taylor expansion of im in re 2.874 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.874 * [taylor]: Taking taylor expansion of re in re 2.874 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.874 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.874 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.875 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.875 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.875 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.875 * [taylor]: Taking taylor expansion of re in re 2.875 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.875 * [taylor]: Taking taylor expansion of re in re 2.875 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.875 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.875 * [taylor]: Taking taylor expansion of im in re 2.875 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.875 * [taylor]: Taking taylor expansion of im in re 2.884 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.884 * [taylor]: Taking taylor expansion of re in re 2.885 * [taylor]: Taking taylor expansion of 0 in im 2.886 * [taylor]: Taking taylor expansion of 0 in im 2.889 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.889 * [taylor]: Taking taylor expansion of 1/2 in im 2.889 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.889 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.889 * [taylor]: Taking taylor expansion of im in im 2.894 * [taylor]: Taking taylor expansion of 0 in im 2.896 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 2.896 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 2.896 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.896 * [taylor]: Taking taylor expansion of re in im 2.896 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.896 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.896 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.896 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.896 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.896 * [taylor]: Taking taylor expansion of -1 in im 2.896 * [taylor]: Taking taylor expansion of re in im 2.896 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.896 * [taylor]: Taking taylor expansion of -1 in im 2.896 * [taylor]: Taking taylor expansion of re in im 2.896 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.896 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.896 * [taylor]: Taking taylor expansion of -1 in im 2.896 * [taylor]: Taking taylor expansion of im in im 2.897 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.897 * [taylor]: Taking taylor expansion of -1 in im 2.897 * [taylor]: Taking taylor expansion of im in im 2.900 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 2.900 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.900 * [taylor]: Taking taylor expansion of re in re 2.900 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.900 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.900 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.900 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.900 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.900 * [taylor]: Taking taylor expansion of -1 in re 2.900 * [taylor]: Taking taylor expansion of re in re 2.901 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.901 * [taylor]: Taking taylor expansion of -1 in re 2.901 * [taylor]: Taking taylor expansion of re in re 2.901 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.901 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.901 * [taylor]: Taking taylor expansion of -1 in re 2.901 * [taylor]: Taking taylor expansion of im in re 2.901 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.901 * [taylor]: Taking taylor expansion of -1 in re 2.901 * [taylor]: Taking taylor expansion of im in re 2.904 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 2.904 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.904 * [taylor]: Taking taylor expansion of re in re 2.905 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.905 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.905 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.905 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.905 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.905 * [taylor]: Taking taylor expansion of -1 in re 2.905 * [taylor]: Taking taylor expansion of re in re 2.905 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.905 * [taylor]: Taking taylor expansion of -1 in re 2.905 * [taylor]: Taking taylor expansion of re in re 2.906 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.906 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.906 * [taylor]: Taking taylor expansion of -1 in re 2.906 * [taylor]: Taking taylor expansion of im in re 2.906 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.906 * [taylor]: Taking taylor expansion of -1 in re 2.906 * [taylor]: Taking taylor expansion of im in re 2.909 * [taylor]: Taking taylor expansion of 2 in im 2.910 * [taylor]: Taking taylor expansion of 0 in im 2.913 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.913 * [taylor]: Taking taylor expansion of 1/2 in im 2.913 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.913 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.913 * [taylor]: Taking taylor expansion of im in im 2.918 * [taylor]: Taking taylor expansion of 0 in im 2.920 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 2.920 * [approximate]: Taking taylor expansion of (* 2.0 (/ (pow im 2) (- (hypot re im) re))) in (im re) around 0 2.920 * [taylor]: Taking taylor expansion of (* 2.0 (/ (pow im 2) (- (hypot re im) re))) in re 2.920 * [taylor]: Taking taylor expansion of 2.0 in re 2.920 * [taylor]: Taking taylor expansion of (/ (pow im 2) (- (hypot re im) re)) in re 2.920 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.920 * [taylor]: Taking taylor expansion of im in re 2.920 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 2.920 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.920 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.920 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.920 * [taylor]: Taking taylor expansion of (* re re) in re 2.920 * [taylor]: Taking taylor expansion of re in re 2.920 * [taylor]: Taking taylor expansion of re in re 2.920 * [taylor]: Taking taylor expansion of (* im im) in re 2.920 * [taylor]: Taking taylor expansion of im in re 2.920 * [taylor]: Taking taylor expansion of im in re 2.922 * [taylor]: Taking taylor expansion of re in re 2.922 * [taylor]: Taking taylor expansion of (* 2.0 (/ (pow im 2) (- (hypot re im) re))) in im 2.922 * [taylor]: Taking taylor expansion of 2.0 in im 2.922 * [taylor]: Taking taylor expansion of (/ (pow im 2) (- (hypot re im) re)) in im 2.922 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.922 * [taylor]: Taking taylor expansion of im in im 2.922 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 2.922 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.922 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.922 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.922 * [taylor]: Taking taylor expansion of (* re re) in im 2.922 * [taylor]: Taking taylor expansion of re in im 2.922 * [taylor]: Taking taylor expansion of re in im 2.922 * [taylor]: Taking taylor expansion of (* im im) in im 2.922 * [taylor]: Taking taylor expansion of im in im 2.922 * [taylor]: Taking taylor expansion of im in im 2.923 * [taylor]: Taking taylor expansion of re in im 2.926 * [taylor]: Taking taylor expansion of (* 2.0 (/ (pow im 2) (- (hypot re im) re))) in im 2.926 * [taylor]: Taking taylor expansion of 2.0 in im 2.926 * [taylor]: Taking taylor expansion of (/ (pow im 2) (- (hypot re im) re)) in im 2.926 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.926 * [taylor]: Taking taylor expansion of im in im 2.926 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 2.926 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.926 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.926 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.926 * [taylor]: Taking taylor expansion of (* re re) in im 2.926 * [taylor]: Taking taylor expansion of re in im 2.926 * [taylor]: Taking taylor expansion of re in im 2.926 * [taylor]: Taking taylor expansion of (* im im) in im 2.926 * [taylor]: Taking taylor expansion of im in im 2.926 * [taylor]: Taking taylor expansion of im in im 2.927 * [taylor]: Taking taylor expansion of re in im 2.930 * [taylor]: Taking taylor expansion of (* 4.0 re) in re 2.930 * [taylor]: Taking taylor expansion of 4.0 in re 2.930 * [taylor]: Taking taylor expansion of re in re 2.933 * [taylor]: Taking taylor expansion of 0 in re 2.938 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 re)) in re 2.938 * [taylor]: Taking taylor expansion of 1.0 in re 2.938 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.938 * [taylor]: Taking taylor expansion of re in re 2.944 * [taylor]: Taking taylor expansion of 0 in re 2.945 * [approximate]: Taking taylor expansion of (/ 2.0 (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (pow im 2))) in (im re) around 0 2.945 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (pow im 2))) in re 2.945 * [taylor]: Taking taylor expansion of 2.0 in re 2.945 * [taylor]: Taking taylor expansion of (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (pow im 2)) in re 2.945 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.945 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.945 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.945 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.945 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.945 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.945 * [taylor]: Taking taylor expansion of re in re 2.946 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.946 * [taylor]: Taking taylor expansion of re in re 2.946 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.946 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.946 * [taylor]: Taking taylor expansion of im in re 2.946 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.946 * [taylor]: Taking taylor expansion of im in re 2.949 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.949 * [taylor]: Taking taylor expansion of re in re 2.949 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.949 * [taylor]: Taking taylor expansion of im in re 2.955 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (pow im 2))) in im 2.955 * [taylor]: Taking taylor expansion of 2.0 in im 2.955 * [taylor]: Taking taylor expansion of (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (pow im 2)) in im 2.955 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 2.956 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.956 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.956 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.956 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.956 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.956 * [taylor]: Taking taylor expansion of re in im 2.956 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.956 * [taylor]: Taking taylor expansion of re in im 2.956 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.956 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.956 * [taylor]: Taking taylor expansion of im in im 2.956 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.956 * [taylor]: Taking taylor expansion of im in im 2.959 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.959 * [taylor]: Taking taylor expansion of re in im 2.959 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.959 * [taylor]: Taking taylor expansion of im in im 2.960 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (pow im 2))) in im 2.960 * [taylor]: Taking taylor expansion of 2.0 in im 2.960 * [taylor]: Taking taylor expansion of (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (pow im 2)) in im 2.960 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 2.960 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.960 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.960 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.960 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.960 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.960 * [taylor]: Taking taylor expansion of re in im 2.960 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.960 * [taylor]: Taking taylor expansion of re in im 2.960 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.960 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.960 * [taylor]: Taking taylor expansion of im in im 2.961 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.961 * [taylor]: Taking taylor expansion of im in im 2.964 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.964 * [taylor]: Taking taylor expansion of re in im 2.964 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.964 * [taylor]: Taking taylor expansion of im in im 2.965 * [taylor]: Taking taylor expansion of 2.0 in re 2.966 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 re)) in re 2.966 * [taylor]: Taking taylor expansion of 2.0 in re 2.966 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.966 * [taylor]: Taking taylor expansion of re in re 2.977 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow re 2))) in re 2.977 * [taylor]: Taking taylor expansion of 1.0 in re 2.977 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.977 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.977 * [taylor]: Taking taylor expansion of re in re 2.985 * [taylor]: Taking taylor expansion of 0 in re 2.989 * [approximate]: Taking taylor expansion of (/ 2.0 (* (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) (pow im 2))) in (im re) around 0 2.989 * [taylor]: Taking taylor expansion of (/ 2.0 (* (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) (pow im 2))) in re 2.989 * [taylor]: Taking taylor expansion of 2.0 in re 2.989 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) (pow im 2)) in re 2.989 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 2.989 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.989 * [taylor]: Taking taylor expansion of re in re 2.989 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.989 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.989 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.989 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.989 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.989 * [taylor]: Taking taylor expansion of -1 in re 2.989 * [taylor]: Taking taylor expansion of re in re 2.990 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.990 * [taylor]: Taking taylor expansion of -1 in re 2.990 * [taylor]: Taking taylor expansion of re in re 2.990 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.990 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.990 * [taylor]: Taking taylor expansion of -1 in re 2.990 * [taylor]: Taking taylor expansion of im in re 2.990 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.990 * [taylor]: Taking taylor expansion of -1 in re 2.990 * [taylor]: Taking taylor expansion of im in re 2.993 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.993 * [taylor]: Taking taylor expansion of im in re 2.993 * [taylor]: Taking taylor expansion of (/ 2.0 (* (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) (pow im 2))) in im 2.993 * [taylor]: Taking taylor expansion of 2.0 in im 2.993 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) (pow im 2)) in im 2.993 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 2.993 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.993 * [taylor]: Taking taylor expansion of re in im 2.993 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.993 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.993 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.993 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.994 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.994 * [taylor]: Taking taylor expansion of -1 in im 2.994 * [taylor]: Taking taylor expansion of re in im 2.994 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.994 * [taylor]: Taking taylor expansion of -1 in im 2.994 * [taylor]: Taking taylor expansion of re in im 2.994 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.994 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.994 * [taylor]: Taking taylor expansion of -1 in im 2.994 * [taylor]: Taking taylor expansion of im in im 2.994 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.994 * [taylor]: Taking taylor expansion of -1 in im 2.994 * [taylor]: Taking taylor expansion of im in im 2.997 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.997 * [taylor]: Taking taylor expansion of im in im 2.998 * [taylor]: Taking taylor expansion of (/ 2.0 (* (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) (pow im 2))) in im 2.998 * [taylor]: Taking taylor expansion of 2.0 in im 2.998 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) (pow im 2)) in im 2.998 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 2.998 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.998 * [taylor]: Taking taylor expansion of re in im 2.998 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.998 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.998 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.998 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.998 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.998 * [taylor]: Taking taylor expansion of -1 in im 2.998 * [taylor]: Taking taylor expansion of re in im 2.999 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.999 * [taylor]: Taking taylor expansion of -1 in im 2.999 * [taylor]: Taking taylor expansion of re in im 2.999 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.999 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.999 * [taylor]: Taking taylor expansion of -1 in im 2.999 * [taylor]: Taking taylor expansion of im in im 2.999 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.999 * [taylor]: Taking taylor expansion of -1 in im 2.999 * [taylor]: Taking taylor expansion of im in im 3.002 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.002 * [taylor]: Taking taylor expansion of im in im 3.003 * [taylor]: Taking taylor expansion of 2.0 in re 3.004 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 re))) in re 3.004 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 re)) in re 3.004 * [taylor]: Taking taylor expansion of 2.0 in re 3.004 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.004 * [taylor]: Taking taylor expansion of re in re 3.011 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow re 2))) in re 3.011 * [taylor]: Taking taylor expansion of 1.0 in re 3.011 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.011 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.011 * [taylor]: Taking taylor expansion of re in re 3.016 * * * [progress]: simplifying candidates 3.018 * [simplify]: Simplifying using # : (expm1 (/ (+ 0 (pow im 2)) (- (hypot re im) re))) (log1p (/ (+ 0 (pow im 2)) (- (hypot re im) re))) (- (log (+ 0 (pow im 2))) (log (- (hypot re im) re))) (log (/ (+ 0 (pow im 2)) (- (hypot re im) re))) (exp (/ (+ 0 (pow im 2)) (- (hypot re im) re))) (/ (* (* (+ 0 (pow im 2)) (+ 0 (pow im 2))) (+ 0 (pow im 2))) (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re))) (* (cbrt (/ (+ 0 (pow im 2)) (- (hypot re im) re))) (cbrt (/ (+ 0 (pow im 2)) (- (hypot re im) re)))) (cbrt (/ (+ 0 (pow im 2)) (- (hypot re im) re))) (* (* (/ (+ 0 (pow im 2)) (- (hypot re im) re)) (/ (+ 0 (pow im 2)) (- (hypot re im) re))) (/ (+ 0 (pow im 2)) (- (hypot re im) re))) (sqrt (/ (+ 0 (pow im 2)) (- (hypot re im) re))) (sqrt (/ (+ 0 (pow im 2)) (- (hypot re im) re))) (- (+ 0 (pow im 2))) (- (- (hypot re im) re)) (/ (* (cbrt (+ 0 (pow im 2))) (cbrt (+ 0 (pow im 2)))) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))) (/ (cbrt (+ 0 (pow im 2))) (cbrt (- (hypot re im) re))) (/ (* (cbrt (+ 0 (pow im 2))) (cbrt (+ 0 (pow im 2)))) (sqrt (- (hypot re im) re))) (/ (cbrt (+ 0 (pow im 2))) (sqrt (- (hypot re im) re))) (/ (* (cbrt (+ 0 (pow im 2))) (cbrt (+ 0 (pow im 2)))) 1) (/ (cbrt (+ 0 (pow im 2))) (- (hypot re im) re)) (/ (* (cbrt (+ 0 (pow im 2))) (cbrt (+ 0 (pow im 2)))) (+ (sqrt (hypot re im)) (sqrt re))) (/ (cbrt (+ 0 (pow im 2))) (- (sqrt (hypot re im)) (sqrt re))) (/ (* (cbrt (+ 0 (pow im 2))) (cbrt (+ 0 (pow im 2)))) 1) (/ (cbrt (+ 0 (pow im 2))) (- (hypot re im) re)) (/ (sqrt (+ 0 (pow im 2))) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))) (/ (sqrt (+ 0 (pow im 2))) (cbrt (- (hypot re im) re))) (/ (sqrt (+ 0 (pow im 2))) (sqrt (- (hypot re im) re))) (/ (sqrt (+ 0 (pow im 2))) (sqrt (- (hypot re im) re))) (/ (sqrt (+ 0 (pow im 2))) 1) (/ (sqrt (+ 0 (pow im 2))) (- (hypot re im) re)) (/ (sqrt (+ 0 (pow im 2))) (+ (sqrt (hypot re im)) (sqrt re))) (/ (sqrt (+ 0 (pow im 2))) (- (sqrt (hypot re im)) (sqrt re))) (/ (sqrt (+ 0 (pow im 2))) 1) (/ (sqrt (+ 0 (pow im 2))) (- (hypot re im) re)) (/ 1 (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))) (/ (+ 0 (pow im 2)) (cbrt (- (hypot re im) re))) (/ 1 (sqrt (- (hypot re im) re))) (/ (+ 0 (pow im 2)) (sqrt (- (hypot re im) re))) (/ 1 1) (/ (+ 0 (pow im 2)) (- (hypot re im) re)) (/ 1 (+ (sqrt (hypot re im)) (sqrt re))) (/ (+ 0 (pow im 2)) (- (sqrt (hypot re im)) (sqrt re))) (/ 1 1) (/ (+ 0 (pow im 2)) (- (hypot re im) re)) (/ 1 (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))) (/ (+ 0 (pow im 2)) (cbrt (- (hypot re im) re))) (/ 1 (sqrt (- (hypot re im) re))) (/ (+ 0 (pow im 2)) (sqrt (- (hypot re im) re))) (/ 1 1) (/ (+ 0 (pow im 2)) (- (hypot re im) re)) (/ 1 (+ (sqrt (hypot re im)) (sqrt re))) (/ (+ 0 (pow im 2)) (- (sqrt (hypot re im)) (sqrt re))) (/ 1 1) (/ (+ 0 (pow im 2)) (- (hypot re im) re)) (/ 1 (- (hypot re im) re)) (/ (- (hypot re im) re) (+ 0 (pow im 2))) (/ (+ 0 (pow im 2)) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))) (/ (+ 0 (pow im 2)) (sqrt (- (hypot re im) re))) (/ (+ 0 (pow im 2)) 1) (/ (+ 0 (pow im 2)) (+ (sqrt (hypot re im)) (sqrt re))) (/ (+ 0 (pow im 2)) 1) (/ (- (hypot re im) re) (cbrt (+ 0 (pow im 2)))) (/ (- (hypot re im) re) (sqrt (+ 0 (pow im 2)))) (/ (- (hypot re im) re) (+ 0 (pow im 2))) (/ (- (hypot re im) re) (+ 0 (pow im 2))) (/ (+ 0 (pow im 2)) (- (pow (hypot re im) 3) (pow re 3))) (/ (+ 0 (pow im 2)) (- (* (hypot re im) (hypot re im)) (* re re))) (* (- (hypot re im) re) (+ (* 0 0) (- (* (pow im 2) (pow im 2)) (* 0 (pow im 2))))) (* (- (hypot re im) re) (- 0 (pow im 2))) (expm1 (sqrt (* 2.0 (/ (+ 0 (pow im 2)) (- (hypot re im) re))))) (log1p (sqrt (* 2.0 (/ (+ 0 (pow im 2)) (- (hypot re im) re))))) (log (sqrt (* 2.0 (/ (+ 0 (pow im 2)) (- (hypot re im) re))))) (exp (sqrt (* 2.0 (/ (+ 0 (pow im 2)) (- (hypot re im) re))))) (* (cbrt (sqrt (* 2.0 (/ (+ 0 (pow im 2)) (- (hypot re im) re))))) (cbrt (sqrt (* 2.0 (/ (+ 0 (pow im 2)) (- (hypot re im) re)))))) (cbrt (sqrt (* 2.0 (/ (+ 0 (pow im 2)) (- (hypot re im) re))))) (* (* (sqrt (* 2.0 (/ (+ 0 (pow im 2)) (- (hypot re im) re)))) (sqrt (* 2.0 (/ (+ 0 (pow im 2)) (- (hypot re im) re))))) (sqrt (* 2.0 (/ (+ 0 (pow im 2)) (- (hypot re im) re))))) (sqrt 2.0) (sqrt (/ (+ 0 (pow im 2)) (- (hypot re im) re))) (sqrt (* 2.0 (+ 0 (pow im 2)))) (sqrt (- (hypot re im) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (/ (+ 0 (pow im 2)) (- (hypot re im) re))))) (sqrt (sqrt (* 2.0 (/ (+ 0 (pow im 2)) (- (hypot re im) re))))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (* (cbrt (hypot re im)) (cbrt 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(+ (* 2.0 re) (* 2.0 im)) 0 3.026 * * [simplify]: iteration 0 : 525 enodes (cost 1142 ) 3.038 * * [simplify]: iteration 1 : 2442 enodes (cost 942 ) 3.085 * * [simplify]: iteration 2 : 5001 enodes (cost 924 ) 3.090 * [simplify]: Simplified to: (expm1 (/ (+ 0 (pow im 2)) (- (hypot re im) re))) (log1p (/ (+ 0 (pow im 2)) (- (hypot re im) re))) (log (/ (+ 0 (pow im 2)) (- (hypot re im) re))) (log (/ (+ 0 (pow im 2)) (- (hypot re im) re))) (exp (/ (+ 0 (pow im 2)) (- (hypot re im) re))) (pow (/ im (/ (- (hypot re im) re) im)) 3) (* (cbrt (/ (+ 0 (pow im 2)) (- (hypot re im) re))) (cbrt (/ (+ 0 (pow im 2)) (- (hypot re im) re)))) (cbrt (/ (+ 0 (pow im 2)) (- (hypot re im) re))) (pow (/ im (/ (- (hypot re im) re) im)) 3) (sqrt (/ (+ 0 (pow im 2)) (- (hypot re im) re))) (sqrt (/ (+ 0 (pow im 2)) (- (hypot re im) re))) (- 0 (pow im 2)) (- (- (hypot re im) re)) (/ (* (cbrt (+ 0 (pow im 2))) (cbrt (+ 0 (pow im 2)))) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))) (/ (cbrt (+ 0 (pow 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(sqrt 2.0)))) (- im re) 0 (* -2 re) (* 4.0 re) (fma 2.0 re (* 2.0 im)) 0 3.091 * * * [progress]: adding candidates to table 3.471 * [progress]: [Phase 3 of 3] Extracting. 3.471 * * [regime]: Finding splitpoints for: (# # # # # #) 3.473 * * * [regime-changes]: Trying 2 branch expressions: (im re) 3.473 * * * * [regimes]: Trying to branch on im from (# # # # # #) 3.525 * * * * [regimes]: Trying to branch on re from (# # # # # #) 3.557 * * * [regime]: Found split indices: #