9.884 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.047 * * * [progress]: [2/2] Setting up program. 0.050 * [progress]: [Phase 2 of 3] Improving. 0.050 * [simplify]: Simplifying using # : (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.053 * * [simplify]: iteration 0 : 24 enodes (cost 8 ) 0.054 * * [simplify]: iteration 1 : 30 enodes (cost 8 ) 0.055 * * [simplify]: iteration 2 : 33 enodes (cost 8 ) 0.057 * * [simplify]: iteration 3 : 33 enodes (cost 8 ) 0.057 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.057 * * [progress]: iteration 1 / 4 0.057 * * * [progress]: picking best candidate 0.060 * * * * [pick]: Picked # 0.060 * * * [progress]: localizing error 0.070 * * * [progress]: generating rewritten candidates 0.070 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1) 0.074 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.088 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.099 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1) 0.103 * * * [progress]: generating series expansions 0.103 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 0.103 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.103 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.103 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.104 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.104 * [taylor]: Taking taylor expansion of re in im 0.104 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.104 * [taylor]: Taking taylor expansion of im in im 0.104 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.104 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.104 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.104 * [taylor]: Taking taylor expansion of re in re 0.104 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.104 * [taylor]: Taking taylor expansion of im in re 0.105 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.105 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.105 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.105 * [taylor]: Taking taylor expansion of re in re 0.105 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.105 * [taylor]: Taking taylor expansion of im in re 0.106 * [taylor]: Taking taylor expansion of im in im 0.106 * [taylor]: Taking taylor expansion of 0 in im 0.107 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.107 * [taylor]: Taking taylor expansion of 1/2 in im 0.107 * [taylor]: Taking taylor expansion of im in im 0.109 * [taylor]: Taking taylor expansion of 0 in im 0.110 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.110 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.110 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.110 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.110 * [taylor]: Taking taylor expansion of im in im 0.111 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.111 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.111 * [taylor]: Taking taylor expansion of re in im 0.113 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.113 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.113 * [taylor]: Taking taylor expansion of im in re 0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.113 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.113 * [taylor]: Taking taylor expansion of re in re 0.116 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.116 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.116 * [taylor]: Taking taylor expansion of im in re 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.116 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.116 * [taylor]: Taking taylor expansion of re in re 0.119 * [taylor]: Taking taylor expansion of 1 in im 0.119 * [taylor]: Taking taylor expansion of 0 in im 0.121 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.121 * [taylor]: Taking taylor expansion of 1/2 in im 0.121 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.121 * [taylor]: Taking taylor expansion of im in im 0.128 * [taylor]: Taking taylor expansion of 0 in im 0.130 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.130 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.130 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow im 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 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.130 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.130 * [taylor]: Taking taylor expansion of re in im 0.132 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.132 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.133 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.133 * [taylor]: Taking taylor expansion of im in re 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.133 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.133 * [taylor]: Taking taylor expansion of re in re 0.135 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.135 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.135 * [taylor]: Taking taylor expansion of im in re 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.135 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.135 * [taylor]: Taking taylor expansion of re in re 0.138 * [taylor]: Taking taylor expansion of 1 in im 0.138 * [taylor]: Taking taylor expansion of 0 in im 0.140 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.140 * [taylor]: Taking taylor expansion of 1/2 in im 0.140 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.140 * [taylor]: Taking taylor expansion of im in im 0.143 * [taylor]: Taking taylor expansion of 0 in im 0.145 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.145 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 0.145 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.145 * [taylor]: Taking taylor expansion of re in im 0.145 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.145 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.145 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.145 * [taylor]: Taking taylor expansion of re in im 0.145 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.145 * [taylor]: Taking taylor expansion of im in im 0.145 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.145 * [taylor]: Taking taylor expansion of re in re 0.145 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.145 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.145 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.145 * [taylor]: Taking taylor expansion of re in re 0.145 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.146 * [taylor]: Taking taylor expansion of im in re 0.146 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.146 * [taylor]: Taking taylor expansion of re in re 0.146 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.146 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.146 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.146 * [taylor]: Taking taylor expansion of re in re 0.146 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.146 * [taylor]: Taking taylor expansion of im in re 0.147 * [taylor]: Taking taylor expansion of im in im 0.147 * [taylor]: Taking taylor expansion of 1 in im 0.148 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.148 * [taylor]: Taking taylor expansion of 1/2 in im 0.148 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.148 * [taylor]: Taking taylor expansion of im in im 0.151 * [taylor]: Taking taylor expansion of 0 in im 0.152 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.152 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.152 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.152 * [taylor]: Taking taylor expansion of re in im 0.152 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.152 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.152 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.152 * [taylor]: Taking taylor expansion of im in im 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.153 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.153 * [taylor]: Taking taylor expansion of re in im 0.155 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.155 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.155 * [taylor]: Taking taylor expansion of re in re 0.156 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.156 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.156 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.156 * [taylor]: Taking taylor expansion of im in re 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.156 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.156 * [taylor]: Taking taylor expansion of re in re 0.158 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.158 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.158 * [taylor]: Taking taylor expansion of re in re 0.159 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.159 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.159 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.159 * [taylor]: Taking taylor expansion of im in re 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.159 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.159 * [taylor]: Taking taylor expansion of re in re 0.162 * [taylor]: Taking taylor expansion of 2 in im 0.162 * [taylor]: Taking taylor expansion of 0 in im 0.165 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.165 * [taylor]: Taking taylor expansion of 1/2 in im 0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.165 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.165 * [taylor]: Taking taylor expansion of im in im 0.170 * [taylor]: Taking taylor expansion of 0 in im 0.171 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.171 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.171 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.171 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 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 0.172 * [taylor]: Taking taylor expansion of im in im 0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.172 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.172 * [taylor]: Taking taylor expansion of re in im 0.174 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.174 * [taylor]: Taking taylor expansion of re in im 0.174 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.174 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.174 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.174 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.174 * [taylor]: Taking taylor expansion of im in re 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.174 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.174 * [taylor]: Taking taylor expansion of re in re 0.177 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.177 * [taylor]: Taking taylor expansion of re in re 0.177 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.177 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.177 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.177 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.177 * [taylor]: Taking taylor expansion of im in re 0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.177 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.177 * [taylor]: Taking taylor expansion of re in re 0.180 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.180 * [taylor]: Taking taylor expansion of re in re 0.181 * [taylor]: Taking taylor expansion of 0 in im 0.182 * [taylor]: Taking taylor expansion of 0 in im 0.185 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.185 * [taylor]: Taking taylor expansion of 1/2 in im 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.185 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.185 * [taylor]: Taking taylor expansion of im in im 0.189 * [taylor]: Taking taylor expansion of 0 in im 0.191 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.191 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in (re im) around 0 0.191 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 0.191 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.191 * [taylor]: Taking taylor expansion of 2.0 in im 0.192 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 0.192 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.192 * [taylor]: Taking taylor expansion of re in im 0.192 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.192 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.192 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.192 * [taylor]: Taking taylor expansion of re in im 0.192 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.192 * [taylor]: Taking taylor expansion of im in im 0.193 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.193 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.193 * [taylor]: Taking taylor expansion of 2.0 in re 0.194 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.194 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.194 * [taylor]: Taking taylor expansion of re in re 0.194 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.194 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.194 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.194 * [taylor]: Taking taylor expansion of re in re 0.194 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.194 * [taylor]: Taking taylor expansion of im in re 0.195 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.195 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.195 * [taylor]: Taking taylor expansion of 2.0 in re 0.196 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.196 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.196 * [taylor]: Taking taylor expansion of re in re 0.196 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.196 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.196 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.196 * [taylor]: Taking taylor expansion of re in re 0.196 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.196 * [taylor]: Taking taylor expansion of im in re 0.197 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.197 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.197 * [taylor]: Taking taylor expansion of 2.0 in im 0.198 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.198 * [taylor]: Taking taylor expansion of im in im 0.200 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.200 * [taylor]: Taking taylor expansion of 1/2 in im 0.200 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.200 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.200 * [taylor]: Taking taylor expansion of 2.0 in im 0.201 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.201 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.201 * [taylor]: Taking taylor expansion of im in im 0.218 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.218 * [taylor]: Taking taylor expansion of 1/8 in im 0.218 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.218 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.218 * [taylor]: Taking taylor expansion of 2.0 in im 0.219 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.219 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.219 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.219 * [taylor]: Taking taylor expansion of im in im 0.235 * [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 0.235 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.235 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.236 * [taylor]: Taking taylor expansion of 2.0 in im 0.236 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.236 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.236 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.236 * [taylor]: Taking taylor expansion of re in im 0.236 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.236 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.236 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.236 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.236 * [taylor]: Taking taylor expansion of im in im 0.237 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.237 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.237 * [taylor]: Taking taylor expansion of re in im 0.240 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.241 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.241 * [taylor]: Taking taylor expansion of 2.0 in re 0.241 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.241 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.241 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.241 * [taylor]: Taking taylor expansion of re in re 0.242 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.242 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.242 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.242 * [taylor]: Taking taylor expansion of im in re 0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.242 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.242 * [taylor]: Taking taylor expansion of re in re 0.246 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.246 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.246 * [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 0.247 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.247 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.247 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.247 * [taylor]: Taking taylor expansion of im in re 0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.247 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.247 * [taylor]: Taking taylor expansion of re in re 0.251 * [taylor]: Taking taylor expansion of 0 in im 0.252 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.252 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.252 * [taylor]: Taking taylor expansion of +nan.0 in im 0.252 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.252 * [taylor]: Taking taylor expansion of 2.0 in im 0.258 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.258 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.258 * [taylor]: Taking taylor expansion of +nan.0 in im 0.258 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.258 * [taylor]: Taking taylor expansion of 2.0 in im 0.267 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.267 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.267 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.267 * [taylor]: Taking taylor expansion of +nan.0 in im 0.267 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.267 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.267 * [taylor]: Taking taylor expansion of 2.0 in im 0.268 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.268 * [taylor]: Taking taylor expansion of im in im 0.268 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.268 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.269 * [taylor]: Taking taylor expansion of +nan.0 in im 0.269 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.269 * [taylor]: Taking taylor expansion of 2.0 in im 0.280 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.280 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.280 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.280 * [taylor]: Taking taylor expansion of +nan.0 in im 0.280 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.280 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.280 * [taylor]: Taking taylor expansion of 2.0 in im 0.281 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.281 * [taylor]: Taking taylor expansion of im in im 0.282 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.282 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.282 * [taylor]: Taking taylor expansion of +nan.0 in im 0.282 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.282 * [taylor]: Taking taylor expansion of 2.0 in im 0.296 * [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 0.296 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.296 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.296 * [taylor]: Taking taylor expansion of 2.0 in im 0.297 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.297 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.297 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.297 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.297 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.297 * [taylor]: Taking taylor expansion of im in im 0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.297 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.297 * [taylor]: Taking taylor expansion of re in im 0.300 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.300 * [taylor]: Taking taylor expansion of re in im 0.301 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.301 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.301 * [taylor]: Taking taylor expansion of 2.0 in re 0.302 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.302 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.302 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.302 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.302 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.302 * [taylor]: Taking taylor expansion of im in re 0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.302 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.302 * [taylor]: Taking taylor expansion of re in re 0.310 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.310 * [taylor]: Taking taylor expansion of re in re 0.316 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.316 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.316 * [taylor]: Taking taylor expansion of 2.0 in re 0.317 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.317 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.317 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.317 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.317 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.317 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.317 * [taylor]: Taking taylor expansion of im in re 0.317 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.317 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.317 * [taylor]: Taking taylor expansion of re in re 0.319 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.319 * [taylor]: Taking taylor expansion of re in re 0.325 * [taylor]: Taking taylor expansion of 0 in im 0.325 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.326 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.326 * [taylor]: Taking taylor expansion of +nan.0 in im 0.326 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.326 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.326 * [taylor]: Taking taylor expansion of 2.0 in im 0.326 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.326 * [taylor]: Taking taylor expansion of im in im 0.334 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.334 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.334 * [taylor]: Taking taylor expansion of +nan.0 in im 0.334 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.334 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.334 * [taylor]: Taking taylor expansion of 2.0 in im 0.335 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.335 * [taylor]: Taking taylor expansion of im in im 0.352 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.352 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.352 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.352 * [taylor]: Taking taylor expansion of +nan.0 in im 0.352 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.352 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.352 * [taylor]: Taking taylor expansion of 2.0 in im 0.352 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.352 * [taylor]: Taking taylor expansion of im in im 0.354 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.354 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.354 * [taylor]: Taking taylor expansion of +nan.0 in im 0.354 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.354 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.354 * [taylor]: Taking taylor expansion of 2.0 in im 0.354 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.354 * [taylor]: Taking taylor expansion of im in im 0.378 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1) 0.379 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.379 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.379 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.379 * [taylor]: Taking taylor expansion of re in im 0.379 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.379 * [taylor]: Taking taylor expansion of im in im 0.379 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.379 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.379 * [taylor]: Taking taylor expansion of re in re 0.379 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.379 * [taylor]: Taking taylor expansion of im in re 0.379 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.379 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.379 * [taylor]: Taking taylor expansion of re in re 0.379 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.379 * [taylor]: Taking taylor expansion of im in re 0.379 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.379 * [taylor]: Taking taylor expansion of im in im 0.379 * [taylor]: Taking taylor expansion of 0 in im 0.380 * [taylor]: Taking taylor expansion of 1 in im 0.382 * [taylor]: Taking taylor expansion of 0 in im 0.384 * [taylor]: Taking taylor expansion of 0 in im 0.384 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.384 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.384 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.384 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.384 * [taylor]: Taking taylor expansion of im in im 0.385 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.385 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.385 * [taylor]: Taking taylor expansion of re in im 0.385 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.385 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.385 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.385 * [taylor]: Taking taylor expansion of im in re 0.385 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.385 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.385 * [taylor]: Taking taylor expansion of re in re 0.386 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.386 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.386 * [taylor]: Taking taylor expansion of im in re 0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.386 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.386 * [taylor]: Taking taylor expansion of re in re 0.387 * [taylor]: Taking taylor expansion of 1 in im 0.388 * [taylor]: Taking taylor expansion of 0 in im 0.389 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.389 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.389 * [taylor]: Taking taylor expansion of im in im 0.391 * [taylor]: Taking taylor expansion of 0 in im 0.399 * [taylor]: Taking taylor expansion of 0 in im 0.401 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.401 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.401 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.401 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.401 * [taylor]: Taking taylor expansion of im in im 0.402 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.402 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.402 * [taylor]: Taking taylor expansion of re in im 0.402 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.402 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.402 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.402 * [taylor]: Taking taylor expansion of im in re 0.402 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.402 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.402 * [taylor]: Taking taylor expansion of re in re 0.402 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.402 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.403 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.403 * [taylor]: Taking taylor expansion of im in re 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.403 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.403 * [taylor]: Taking taylor expansion of re in re 0.403 * [taylor]: Taking taylor expansion of 1 in im 0.405 * [taylor]: Taking taylor expansion of 0 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 0.408 * [taylor]: Taking taylor expansion of 0 in im 0.411 * [taylor]: Taking taylor expansion of 0 in im 0.412 * * * [progress]: simplifying candidates 0.413 * [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)) 0.418 * * [simplify]: iteration 0 : 296 enodes (cost 446 ) 0.423 * * [simplify]: iteration 1 : 1086 enodes (cost 401 ) 0.440 * * [simplify]: iteration 2 : 3561 enodes (cost 382 ) 0.500 * * [simplify]: iteration 3 : 5001 enodes (cost 381 ) 0.503 * [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)) 0.503 * * * [progress]: adding candidates to table 0.716 * * [progress]: iteration 2 / 4 0.716 * * * [progress]: picking best candidate 0.732 * * * * [pick]: Picked # 0.732 * * * [progress]: localizing error 0.741 * * * [progress]: generating rewritten candidates 0.741 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2) 0.745 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.750 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 2 1 2) 0.751 * * * [progress]: generating series expansions 0.751 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2) 0.752 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 0.752 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.752 * [taylor]: Taking taylor expansion of re in im 0.752 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.752 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.752 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.752 * [taylor]: Taking taylor expansion of (* re re) in im 0.752 * [taylor]: Taking taylor expansion of re in im 0.752 * [taylor]: Taking taylor expansion of re in im 0.752 * [taylor]: Taking taylor expansion of (* im im) in im 0.752 * [taylor]: Taking taylor expansion of im in im 0.752 * [taylor]: Taking taylor expansion of im in im 0.754 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.754 * [taylor]: Taking taylor expansion of re in re 0.754 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.754 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.754 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.754 * [taylor]: Taking taylor expansion of (* re re) in re 0.754 * [taylor]: Taking taylor expansion of re in re 0.754 * [taylor]: Taking taylor expansion of re in re 0.754 * [taylor]: Taking taylor expansion of (* im im) in re 0.754 * [taylor]: Taking taylor expansion of im in re 0.754 * [taylor]: Taking taylor expansion of im in re 0.755 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.755 * [taylor]: Taking taylor expansion of re in re 0.755 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.755 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.755 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.755 * [taylor]: Taking taylor expansion of (* re re) in re 0.755 * [taylor]: Taking taylor expansion of re in re 0.755 * [taylor]: Taking taylor expansion of re in re 0.755 * [taylor]: Taking taylor expansion of (* im im) in re 0.755 * [taylor]: Taking taylor expansion of im in re 0.755 * [taylor]: Taking taylor expansion of im in re 0.757 * [taylor]: Taking taylor expansion of im in im 0.757 * [taylor]: Taking taylor expansion of 1 in im 0.759 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.759 * [taylor]: Taking taylor expansion of 1/2 in im 0.759 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.759 * [taylor]: Taking taylor expansion of im in im 0.761 * [taylor]: Taking taylor expansion of 0 in im 0.763 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 0.763 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 0.763 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.763 * [taylor]: Taking taylor expansion of re in im 0.763 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.763 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.763 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.763 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.763 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.763 * [taylor]: Taking taylor expansion of re in im 0.763 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.763 * [taylor]: Taking taylor expansion of re in im 0.763 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.763 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.763 * [taylor]: Taking taylor expansion of im in im 0.764 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.764 * [taylor]: Taking taylor expansion of im in im 0.767 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.767 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.767 * [taylor]: Taking taylor expansion of re in re 0.767 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.767 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.767 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.767 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.767 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.767 * [taylor]: Taking taylor expansion of re in re 0.767 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.768 * [taylor]: Taking taylor expansion of re in re 0.768 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.768 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.768 * [taylor]: Taking taylor expansion of im in re 0.768 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.768 * [taylor]: Taking taylor expansion of im in re 0.771 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.771 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.771 * [taylor]: Taking taylor expansion of re in re 0.771 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.771 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.771 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.771 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.771 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.771 * [taylor]: Taking taylor expansion of re in re 0.771 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.771 * [taylor]: Taking taylor expansion of re in re 0.772 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.772 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.772 * [taylor]: Taking taylor expansion of im in re 0.772 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.772 * [taylor]: Taking taylor expansion of im in re 0.775 * [taylor]: Taking taylor expansion of 2 in im 0.775 * [taylor]: Taking taylor expansion of 0 in im 0.779 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.779 * [taylor]: Taking taylor expansion of 1/2 in im 0.779 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.779 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.779 * [taylor]: Taking taylor expansion of im in im 0.784 * [taylor]: Taking taylor expansion of 0 in im 0.786 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 0.786 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.786 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.786 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.786 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.786 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.786 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.786 * [taylor]: Taking taylor expansion of -1 in im 0.786 * [taylor]: Taking taylor expansion of re in im 0.786 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.786 * [taylor]: Taking taylor expansion of -1 in im 0.786 * [taylor]: Taking taylor expansion of re in im 0.786 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.786 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.786 * [taylor]: Taking taylor expansion of -1 in im 0.786 * [taylor]: Taking taylor expansion of im in im 0.787 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.787 * [taylor]: Taking taylor expansion of -1 in im 0.787 * [taylor]: Taking taylor expansion of im in im 0.790 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.790 * [taylor]: Taking taylor expansion of re in im 0.790 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.790 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.790 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.790 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.790 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.790 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.790 * [taylor]: Taking taylor expansion of -1 in re 0.790 * [taylor]: Taking taylor expansion of re in re 0.790 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.790 * [taylor]: Taking taylor expansion of -1 in re 0.790 * [taylor]: Taking taylor expansion of re in re 0.791 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.791 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.791 * [taylor]: Taking taylor expansion of -1 in re 0.791 * [taylor]: Taking taylor expansion of im in re 0.791 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.791 * [taylor]: Taking taylor expansion of -1 in re 0.791 * [taylor]: Taking taylor expansion of im in re 0.794 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.794 * [taylor]: Taking taylor expansion of re in re 0.794 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.794 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.794 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.794 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.794 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.794 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.794 * [taylor]: Taking taylor expansion of -1 in re 0.794 * [taylor]: Taking taylor expansion of re in re 0.794 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.794 * [taylor]: Taking taylor expansion of -1 in re 0.794 * [taylor]: Taking taylor expansion of re in re 0.795 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.795 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.795 * [taylor]: Taking taylor expansion of -1 in re 0.795 * [taylor]: Taking taylor expansion of im in re 0.795 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.795 * [taylor]: Taking taylor expansion of -1 in re 0.795 * [taylor]: Taking taylor expansion of im in re 0.798 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.798 * [taylor]: Taking taylor expansion of re in re 0.798 * [taylor]: Taking taylor expansion of 0 in im 0.799 * [taylor]: Taking taylor expansion of 0 in im 0.807 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.808 * [taylor]: Taking taylor expansion of 1/2 in im 0.808 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.808 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.808 * [taylor]: Taking taylor expansion of im in im 0.813 * [taylor]: Taking taylor expansion of 0 in im 0.815 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.815 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0 0.815 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im 0.815 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 0.815 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.815 * [taylor]: Taking taylor expansion of re in im 0.815 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.816 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.816 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.816 * [taylor]: Taking taylor expansion of (* re re) in im 0.816 * [taylor]: Taking taylor expansion of re in im 0.816 * [taylor]: Taking taylor expansion of re in im 0.816 * [taylor]: Taking taylor expansion of (* im im) in im 0.816 * [taylor]: Taking taylor expansion of im in im 0.816 * [taylor]: Taking taylor expansion of im in im 0.817 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.817 * [taylor]: Taking taylor expansion of 2.0 in im 0.818 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 0.818 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 0.818 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.818 * [taylor]: Taking taylor expansion of re in re 0.818 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.818 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.818 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.818 * [taylor]: Taking taylor expansion of (* re re) in re 0.818 * [taylor]: Taking taylor expansion of re in re 0.818 * [taylor]: Taking taylor expansion of re in re 0.818 * [taylor]: Taking taylor expansion of (* im im) in re 0.818 * [taylor]: Taking taylor expansion of im in re 0.818 * [taylor]: Taking taylor expansion of im in re 0.820 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.820 * [taylor]: Taking taylor expansion of 2.0 in re 0.820 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 0.820 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 0.821 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.821 * [taylor]: Taking taylor expansion of re in re 0.821 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.821 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.821 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.821 * [taylor]: Taking taylor expansion of (* re re) in re 0.821 * [taylor]: Taking taylor expansion of re in re 0.821 * [taylor]: Taking taylor expansion of re in re 0.821 * [taylor]: Taking taylor expansion of (* im im) in re 0.821 * [taylor]: Taking taylor expansion of im in re 0.821 * [taylor]: Taking taylor expansion of im in re 0.822 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.822 * [taylor]: Taking taylor expansion of 2.0 in re 0.823 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.823 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.823 * [taylor]: Taking taylor expansion of 2.0 in im 0.824 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.824 * [taylor]: Taking taylor expansion of im in im 0.826 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.826 * [taylor]: Taking taylor expansion of 1/2 in im 0.826 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.826 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.826 * [taylor]: Taking taylor expansion of 2.0 in im 0.827 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.827 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.827 * [taylor]: Taking taylor expansion of im in im 0.839 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.839 * [taylor]: Taking taylor expansion of 1/8 in im 0.839 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.839 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.839 * [taylor]: Taking taylor expansion of 2.0 in im 0.840 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.840 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.840 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.840 * [taylor]: Taking taylor expansion of im in im 0.856 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in (re im) around 0 0.856 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in im 0.856 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 0.856 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 0.856 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.856 * [taylor]: Taking taylor expansion of re in im 0.856 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.856 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.856 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.856 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.857 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.857 * [taylor]: Taking taylor expansion of re in im 0.857 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.857 * [taylor]: Taking taylor expansion of re in im 0.857 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.857 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.857 * [taylor]: Taking taylor expansion of im in im 0.857 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.857 * [taylor]: Taking taylor expansion of im in im 0.861 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.861 * [taylor]: Taking taylor expansion of 2.0 in im 0.862 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 0.862 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 0.862 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.862 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.862 * [taylor]: Taking taylor expansion of re in re 0.862 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.862 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.862 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.862 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.862 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.862 * [taylor]: Taking taylor expansion of re in re 0.863 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.863 * [taylor]: Taking taylor expansion of re in re 0.863 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.863 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.863 * [taylor]: Taking taylor expansion of im in re 0.863 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.863 * [taylor]: Taking taylor expansion of im in re 0.867 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.867 * [taylor]: Taking taylor expansion of 2.0 in re 0.868 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 0.868 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 0.868 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.868 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.868 * [taylor]: Taking taylor expansion of re in re 0.868 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.868 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.868 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.868 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.868 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.868 * [taylor]: Taking taylor expansion of re in re 0.869 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.869 * [taylor]: Taking taylor expansion of re in re 0.869 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.869 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.869 * [taylor]: Taking taylor expansion of im in re 0.869 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.869 * [taylor]: Taking taylor expansion of im in re 0.873 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.873 * [taylor]: Taking taylor expansion of 2.0 in re 0.874 * [taylor]: Taking taylor expansion of 0 in im 0.875 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.875 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.875 * [taylor]: Taking taylor expansion of +nan.0 in im 0.875 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.875 * [taylor]: Taking taylor expansion of 2.0 in im 0.882 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.882 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.882 * [taylor]: Taking taylor expansion of +nan.0 in im 0.882 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.882 * [taylor]: Taking taylor expansion of 2.0 in im 0.892 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.892 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.892 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.892 * [taylor]: Taking taylor expansion of +nan.0 in im 0.892 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) 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 0.893 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.893 * [taylor]: Taking taylor expansion of im in im 0.894 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.894 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.894 * [taylor]: Taking taylor expansion of +nan.0 in im 0.894 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.894 * [taylor]: Taking taylor expansion of 2.0 in im 0.913 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.913 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.913 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.913 * [taylor]: Taking taylor expansion of +nan.0 in im 0.913 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.913 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.913 * [taylor]: Taking taylor expansion of 2.0 in im 0.914 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.914 * [taylor]: Taking taylor expansion of im in im 0.915 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.915 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.915 * [taylor]: Taking taylor expansion of +nan.0 in im 0.915 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.915 * [taylor]: Taking taylor expansion of 2.0 in im 0.929 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 0.929 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 0.929 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.929 * [taylor]: Taking taylor expansion of 2.0 in im 0.930 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 0.930 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.930 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.930 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.930 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.930 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.930 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.930 * [taylor]: Taking taylor expansion of -1 in im 0.930 * [taylor]: Taking taylor expansion of re in im 0.930 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.930 * [taylor]: Taking taylor expansion of -1 in im 0.930 * [taylor]: Taking taylor expansion of re in im 0.930 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.930 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.930 * [taylor]: Taking taylor expansion of -1 in im 0.930 * [taylor]: Taking taylor expansion of im in im 0.930 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.930 * [taylor]: Taking taylor expansion of -1 in im 0.930 * [taylor]: Taking taylor expansion of im in im 0.933 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.933 * [taylor]: Taking taylor expansion of re in im 0.935 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.935 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.935 * [taylor]: Taking taylor expansion of 2.0 in re 0.936 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.936 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.936 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.936 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.936 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.936 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.936 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.936 * [taylor]: Taking taylor expansion of -1 in re 0.936 * [taylor]: Taking taylor expansion of re in re 0.936 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.936 * [taylor]: Taking taylor expansion of -1 in re 0.936 * [taylor]: Taking taylor expansion of re in re 0.936 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.936 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.937 * [taylor]: Taking taylor expansion of -1 in re 0.937 * [taylor]: Taking taylor expansion of im in re 0.937 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.937 * [taylor]: Taking taylor expansion of -1 in re 0.937 * [taylor]: Taking taylor expansion of im in re 0.939 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.939 * [taylor]: Taking taylor expansion of re in re 0.945 * [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 0.946 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.946 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.946 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.946 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.946 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.946 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 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 re) in re 0.947 * [taylor]: Taking taylor expansion of -1 in re 0.947 * [taylor]: Taking taylor expansion of re in re 0.947 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.947 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.947 * [taylor]: Taking taylor expansion of -1 in re 0.947 * [taylor]: Taking taylor expansion of im in re 0.947 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.947 * [taylor]: Taking taylor expansion of -1 in re 0.947 * [taylor]: Taking taylor expansion of im in re 0.950 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.950 * [taylor]: Taking taylor expansion of re in re 0.956 * [taylor]: Taking taylor expansion of 0 in im 0.957 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.957 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.957 * [taylor]: Taking taylor expansion of +nan.0 in im 0.957 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.957 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.957 * [taylor]: Taking taylor expansion of 2.0 in im 0.958 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.958 * [taylor]: Taking taylor expansion of im in im 0.966 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.966 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.966 * [taylor]: Taking taylor expansion of +nan.0 in im 0.966 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.966 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.966 * [taylor]: Taking taylor expansion of 2.0 in im 0.966 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.966 * [taylor]: Taking taylor expansion of im in im 0.984 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.984 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.984 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.984 * [taylor]: Taking taylor expansion of +nan.0 in im 0.984 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.984 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.984 * [taylor]: Taking taylor expansion of 2.0 in im 0.985 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.985 * [taylor]: Taking taylor expansion of im in im 0.992 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.992 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.992 * [taylor]: Taking taylor expansion of +nan.0 in im 0.992 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.992 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.992 * [taylor]: Taking taylor expansion of 2.0 in im 0.992 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.993 * [taylor]: Taking taylor expansion of im in im 1.017 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 2 1 2) 1.017 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 1.017 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.017 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.017 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.017 * [taylor]: Taking taylor expansion of (* re re) in im 1.017 * [taylor]: Taking taylor expansion of re in im 1.017 * [taylor]: Taking taylor expansion of re in im 1.017 * [taylor]: Taking taylor expansion of (* im im) in im 1.017 * [taylor]: Taking taylor expansion of im in im 1.017 * [taylor]: Taking taylor expansion of im in im 1.019 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.019 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.019 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.019 * [taylor]: Taking taylor expansion of (* re re) in re 1.019 * [taylor]: Taking taylor expansion of re in re 1.019 * [taylor]: Taking taylor expansion of re in re 1.019 * [taylor]: Taking taylor expansion of (* im im) in re 1.019 * [taylor]: Taking taylor expansion of im in re 1.019 * [taylor]: Taking taylor expansion of im in re 1.020 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.020 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.020 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.020 * [taylor]: Taking taylor expansion of (* re re) in re 1.020 * [taylor]: Taking taylor expansion of re in re 1.020 * [taylor]: Taking taylor expansion of re in re 1.020 * [taylor]: Taking taylor expansion of (* im im) in re 1.020 * [taylor]: Taking taylor expansion of im in re 1.020 * [taylor]: Taking taylor expansion of im in re 1.021 * [taylor]: Taking taylor expansion of im in im 1.021 * [taylor]: Taking taylor expansion of 0 in im 1.023 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.023 * [taylor]: Taking taylor expansion of 1/2 in im 1.023 * [taylor]: Taking taylor expansion of im in im 1.025 * [taylor]: Taking taylor expansion of 0 in im 1.026 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 1.026 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.026 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.026 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.026 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.026 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.026 * [taylor]: Taking taylor expansion of re in im 1.026 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.026 * [taylor]: Taking taylor expansion of re in im 1.026 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.026 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.026 * [taylor]: Taking taylor expansion of im in im 1.026 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.026 * [taylor]: Taking taylor expansion of im in im 1.029 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.029 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.030 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.030 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.030 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.030 * [taylor]: Taking taylor expansion of re in re 1.030 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.030 * [taylor]: Taking taylor expansion of re in re 1.030 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.030 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.030 * [taylor]: Taking taylor expansion of im in re 1.030 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.030 * [taylor]: Taking taylor expansion of im in re 1.033 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.033 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.033 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.033 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.033 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.033 * [taylor]: Taking taylor expansion of re in re 1.033 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.033 * [taylor]: Taking taylor expansion of re in re 1.034 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.034 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.034 * [taylor]: Taking taylor expansion of im in re 1.034 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.034 * [taylor]: Taking taylor expansion of im in re 1.037 * [taylor]: Taking taylor expansion of 1 in im 1.037 * [taylor]: Taking taylor expansion of 0 in im 1.039 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.039 * [taylor]: Taking taylor expansion of 1/2 in im 1.039 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.039 * [taylor]: Taking taylor expansion of im in im 1.043 * [taylor]: Taking taylor expansion of 0 in im 1.044 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 1.044 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.044 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.044 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.044 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.044 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.044 * [taylor]: Taking taylor expansion of -1 in im 1.044 * [taylor]: Taking taylor expansion of re in im 1.044 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.045 * [taylor]: Taking taylor expansion of -1 in im 1.045 * [taylor]: Taking taylor expansion of re in im 1.045 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.045 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.045 * [taylor]: Taking taylor expansion of -1 in im 1.045 * [taylor]: Taking taylor expansion of im in im 1.045 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.045 * [taylor]: Taking taylor expansion of -1 in im 1.045 * [taylor]: Taking taylor expansion of im in im 1.048 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.048 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.048 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.048 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.048 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.048 * [taylor]: Taking taylor expansion of -1 in re 1.048 * [taylor]: Taking taylor expansion of re in re 1.048 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.049 * [taylor]: Taking taylor expansion of -1 in re 1.049 * [taylor]: Taking taylor expansion of re in re 1.049 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.049 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.049 * [taylor]: Taking taylor expansion of -1 in re 1.049 * [taylor]: Taking taylor expansion of im in re 1.049 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.049 * [taylor]: Taking taylor expansion of -1 in re 1.049 * [taylor]: Taking taylor expansion of im in re 1.052 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.052 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.052 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.052 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.052 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.052 * [taylor]: Taking taylor expansion of -1 in re 1.052 * [taylor]: Taking taylor expansion of re in re 1.052 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.052 * [taylor]: Taking taylor expansion of -1 in re 1.052 * [taylor]: Taking taylor expansion of re in re 1.053 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.053 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.053 * [taylor]: Taking taylor expansion of -1 in re 1.053 * [taylor]: Taking taylor expansion of im in re 1.053 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.053 * [taylor]: Taking taylor expansion of -1 in re 1.053 * [taylor]: Taking taylor expansion of im in re 1.056 * [taylor]: Taking taylor expansion of 1 in im 1.056 * [taylor]: Taking taylor expansion of 0 in im 1.058 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.059 * [taylor]: Taking taylor expansion of 1/2 in im 1.059 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.059 * [taylor]: Taking taylor expansion of im in im 1.062 * [taylor]: Taking taylor expansion of 0 in im 1.064 * * * [progress]: simplifying candidates 1.064 * [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)))) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (+ re im) (* 2 re) 0 (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0 im re (* -1 re) 1.069 * * [simplify]: iteration 0 : 218 enodes (cost 274 ) 1.073 * * [simplify]: iteration 1 : 658 enodes (cost 245 ) 1.085 * * [simplify]: iteration 2 : 2414 enodes (cost 237 ) 1.133 * * [simplify]: iteration 3 : 5001 enodes (cost 233 ) 1.135 * [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)))) (expm1 (hypot re im)) (log1p (hypot re im)) (fma re re (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (sqrt (hypot re im)) (sqrt (hypot re im)) (+ re im) (* 2 re) 0 (* (* +nan.0 (sqrt 2.0)) (+ (- (* re re)) (- im re))) (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) 0 im re (* -1 re) 1.135 * * * [progress]: adding candidates to table 1.279 * * [progress]: iteration 3 / 4 1.279 * * * [progress]: picking best candidate 1.294 * * * * [pick]: Picked # 1.294 * * * [progress]: localizing error 1.305 * * * [progress]: generating rewritten candidates 1.305 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 1.309 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.329 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 1.335 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1 2) 1.337 * * * [progress]: generating series expansions 1.337 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 1.338 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 1.338 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.338 * [taylor]: Taking taylor expansion of re in im 1.338 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.338 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.338 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.338 * [taylor]: Taking taylor expansion of (* re re) in im 1.338 * [taylor]: Taking taylor expansion of re in im 1.338 * [taylor]: Taking taylor expansion of re in im 1.338 * [taylor]: Taking taylor expansion of (* im im) in im 1.338 * [taylor]: Taking taylor expansion of im in im 1.338 * [taylor]: Taking taylor expansion of im in im 1.339 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.339 * [taylor]: Taking taylor expansion of re in re 1.340 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.340 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.340 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.340 * [taylor]: Taking taylor expansion of (* re re) in re 1.340 * [taylor]: Taking taylor expansion of re in re 1.340 * [taylor]: Taking taylor expansion of re in re 1.340 * [taylor]: Taking taylor expansion of (* im im) in re 1.340 * [taylor]: Taking taylor expansion of im in re 1.340 * [taylor]: Taking taylor expansion of im in re 1.341 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.341 * [taylor]: Taking taylor expansion of re in re 1.341 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.341 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.341 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.341 * [taylor]: Taking taylor expansion of (* re re) in re 1.341 * [taylor]: Taking taylor expansion of re in re 1.341 * [taylor]: Taking taylor expansion of re in re 1.341 * [taylor]: Taking taylor expansion of (* im im) in re 1.341 * [taylor]: Taking taylor expansion of im in re 1.341 * [taylor]: Taking taylor expansion of im in re 1.342 * [taylor]: Taking taylor expansion of im in im 1.343 * [taylor]: Taking taylor expansion of 1 in im 1.344 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.344 * [taylor]: Taking taylor expansion of 1/2 in im 1.344 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.344 * [taylor]: Taking taylor expansion of im in im 1.347 * [taylor]: Taking taylor expansion of 0 in im 1.349 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 1.349 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 1.349 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.349 * [taylor]: Taking taylor expansion of re in im 1.349 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.349 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.349 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.349 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.349 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.349 * [taylor]: Taking taylor expansion of re in im 1.349 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.349 * [taylor]: Taking taylor expansion of re in im 1.349 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.349 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.349 * [taylor]: Taking taylor expansion of im in im 1.349 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.349 * [taylor]: Taking taylor expansion of im in im 1.352 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.352 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.352 * [taylor]: Taking taylor expansion of re in re 1.353 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.353 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.353 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.353 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.353 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.353 * [taylor]: Taking taylor expansion of re in re 1.353 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.353 * [taylor]: Taking taylor expansion of re in re 1.354 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.354 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.354 * [taylor]: Taking taylor expansion of im in re 1.354 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.354 * [taylor]: Taking taylor expansion of im in re 1.356 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.356 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.356 * [taylor]: Taking taylor expansion of re in re 1.357 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.357 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.357 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.357 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.357 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.357 * [taylor]: Taking taylor expansion of re in re 1.357 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.357 * [taylor]: Taking taylor expansion of re in re 1.357 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.357 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.357 * [taylor]: Taking taylor expansion of im in re 1.357 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.357 * [taylor]: Taking taylor expansion of im in re 1.360 * [taylor]: Taking taylor expansion of 2 in im 1.361 * [taylor]: Taking taylor expansion of 0 in im 1.364 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.364 * [taylor]: Taking taylor expansion of 1/2 in im 1.364 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.364 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.364 * [taylor]: Taking taylor expansion of im in im 1.369 * [taylor]: Taking taylor expansion of 0 in im 1.371 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 1.371 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.371 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.372 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.372 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.372 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.372 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.372 * [taylor]: Taking taylor expansion of -1 in im 1.372 * [taylor]: Taking taylor expansion of re in im 1.372 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.372 * [taylor]: Taking taylor expansion of -1 in im 1.372 * [taylor]: Taking taylor expansion of re in im 1.372 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.372 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.372 * [taylor]: Taking taylor expansion of -1 in im 1.372 * [taylor]: Taking taylor expansion of im in im 1.372 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.372 * [taylor]: Taking taylor expansion of -1 in im 1.372 * [taylor]: Taking taylor expansion of im in im 1.375 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.375 * [taylor]: Taking taylor expansion of re in im 1.375 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.375 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.375 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.375 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.375 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.375 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.375 * [taylor]: Taking taylor expansion of -1 in re 1.375 * [taylor]: Taking taylor expansion of re in re 1.376 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.376 * [taylor]: Taking taylor expansion of -1 in re 1.376 * [taylor]: Taking taylor expansion of re in re 1.376 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.376 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.376 * [taylor]: Taking taylor expansion of -1 in re 1.376 * [taylor]: Taking taylor expansion of im in re 1.376 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.376 * [taylor]: Taking taylor expansion of -1 in re 1.376 * [taylor]: Taking taylor expansion of im in re 1.379 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.379 * [taylor]: Taking taylor expansion of re in re 1.379 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.379 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.379 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.379 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.379 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.379 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.379 * [taylor]: Taking taylor expansion of -1 in re 1.379 * [taylor]: Taking taylor expansion of re in re 1.380 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.380 * [taylor]: Taking taylor expansion of -1 in re 1.380 * [taylor]: Taking taylor expansion of re in re 1.380 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.380 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.380 * [taylor]: Taking taylor expansion of -1 in re 1.380 * [taylor]: Taking taylor expansion of im in re 1.380 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.380 * [taylor]: Taking taylor expansion of -1 in re 1.380 * [taylor]: Taking taylor expansion of im in re 1.383 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.383 * [taylor]: Taking taylor expansion of re in re 1.384 * [taylor]: Taking taylor expansion of 0 in im 1.385 * [taylor]: Taking taylor expansion of 0 in im 1.389 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.389 * [taylor]: Taking taylor expansion of 1/2 in im 1.389 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.389 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.389 * [taylor]: Taking taylor expansion of im in im 1.394 * [taylor]: Taking taylor expansion of 0 in im 1.395 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.396 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0 1.396 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im 1.396 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 1.396 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.396 * [taylor]: Taking taylor expansion of re in im 1.396 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.396 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.396 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.396 * [taylor]: Taking taylor expansion of (* re re) in im 1.396 * [taylor]: Taking taylor expansion of re in im 1.396 * [taylor]: Taking taylor expansion of re in im 1.396 * [taylor]: Taking taylor expansion of (* im im) in im 1.396 * [taylor]: Taking taylor expansion of im in im 1.396 * [taylor]: Taking taylor expansion of im in im 1.398 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.398 * [taylor]: Taking taylor expansion of 2.0 in im 1.399 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 1.399 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 1.399 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.399 * [taylor]: Taking taylor expansion of re in re 1.399 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.399 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.399 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.399 * [taylor]: Taking taylor expansion of (* re re) in re 1.399 * [taylor]: Taking taylor expansion of re in re 1.399 * [taylor]: Taking taylor expansion of re in re 1.399 * [taylor]: Taking taylor expansion of (* im im) in re 1.399 * [taylor]: Taking taylor expansion of im in re 1.399 * [taylor]: Taking taylor expansion of im in re 1.401 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.401 * [taylor]: Taking taylor expansion of 2.0 in re 1.401 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 1.401 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 1.401 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.401 * [taylor]: Taking taylor expansion of re in re 1.401 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.401 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.401 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.401 * [taylor]: Taking taylor expansion of (* re re) in re 1.401 * [taylor]: Taking taylor expansion of re in re 1.401 * [taylor]: Taking taylor expansion of re in re 1.402 * [taylor]: Taking taylor expansion of (* im im) in re 1.402 * [taylor]: Taking taylor expansion of im in re 1.402 * [taylor]: Taking taylor expansion of im in re 1.403 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.403 * [taylor]: Taking taylor expansion of 2.0 in re 1.404 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 1.404 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.404 * [taylor]: Taking taylor expansion of 2.0 in im 1.405 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.405 * [taylor]: Taking taylor expansion of im in im 1.412 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 1.412 * [taylor]: Taking taylor expansion of 1/2 in im 1.412 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 1.412 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.412 * [taylor]: Taking taylor expansion of 2.0 in im 1.413 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.413 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.413 * [taylor]: Taking taylor expansion of im in im 1.425 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 1.425 * [taylor]: Taking taylor expansion of 1/8 in im 1.425 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 1.425 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.425 * [taylor]: Taking taylor expansion of 2.0 in im 1.426 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 1.426 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 1.426 * [taylor]: Taking taylor expansion of (pow im 3) in im 1.426 * [taylor]: Taking taylor expansion of im in im 1.443 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in (re im) around 0 1.443 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in im 1.443 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 1.443 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 1.443 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.443 * [taylor]: Taking taylor expansion of re in im 1.443 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.443 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.443 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.443 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.443 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.443 * [taylor]: Taking taylor expansion of re in im 1.443 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.443 * [taylor]: Taking taylor expansion of re in im 1.443 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.443 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.443 * [taylor]: Taking taylor expansion of im in im 1.443 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.443 * [taylor]: Taking taylor expansion of im in im 1.448 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.448 * [taylor]: Taking taylor expansion of 2.0 in im 1.449 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 1.449 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 1.449 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.449 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.449 * [taylor]: Taking taylor expansion of re in re 1.449 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.449 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.449 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.449 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.449 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.449 * [taylor]: Taking taylor expansion of re in re 1.449 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.449 * [taylor]: Taking taylor expansion of re in re 1.450 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.450 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.450 * [taylor]: Taking taylor expansion of im in re 1.450 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.450 * [taylor]: Taking taylor expansion of im in re 1.454 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.454 * [taylor]: Taking taylor expansion of 2.0 in re 1.454 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 1.454 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 1.454 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.454 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.454 * [taylor]: Taking taylor expansion of re in re 1.455 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.455 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.455 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.455 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.455 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.455 * [taylor]: Taking taylor expansion of re in re 1.455 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.455 * [taylor]: Taking taylor expansion of re in re 1.455 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.456 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.456 * [taylor]: Taking taylor expansion of im in re 1.456 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.456 * [taylor]: Taking taylor expansion of im in re 1.459 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.460 * [taylor]: Taking taylor expansion of 2.0 in re 1.461 * [taylor]: Taking taylor expansion of 0 in im 1.462 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.462 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.462 * [taylor]: Taking taylor expansion of +nan.0 in im 1.462 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.462 * [taylor]: Taking taylor expansion of 2.0 in im 1.468 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.468 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.468 * [taylor]: Taking taylor expansion of +nan.0 in im 1.468 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.468 * [taylor]: Taking taylor expansion of 2.0 in im 1.478 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 1.478 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 1.478 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.478 * [taylor]: Taking taylor expansion of +nan.0 in im 1.478 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) 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 1.479 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.479 * [taylor]: Taking taylor expansion of im in im 1.480 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.480 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.480 * [taylor]: Taking taylor expansion of +nan.0 in im 1.480 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.480 * [taylor]: Taking taylor expansion of 2.0 in im 1.492 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 1.492 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 1.492 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.492 * [taylor]: Taking taylor expansion of +nan.0 in im 1.493 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.493 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.493 * [taylor]: Taking taylor expansion of 2.0 in im 1.493 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.493 * [taylor]: Taking taylor expansion of im in im 1.494 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.494 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.494 * [taylor]: Taking taylor expansion of +nan.0 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 1.515 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 1.515 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 1.515 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.515 * [taylor]: Taking taylor expansion of 2.0 in im 1.515 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 1.515 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.515 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.516 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.516 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.516 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.516 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.516 * [taylor]: Taking taylor expansion of -1 in im 1.516 * [taylor]: Taking taylor expansion of re in im 1.516 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.516 * [taylor]: Taking taylor expansion of -1 in im 1.516 * [taylor]: Taking taylor expansion of re in im 1.516 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.516 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.516 * [taylor]: Taking taylor expansion of -1 in im 1.516 * [taylor]: Taking taylor expansion of im in im 1.516 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.516 * [taylor]: Taking taylor expansion of -1 in im 1.516 * [taylor]: Taking taylor expansion of im in im 1.519 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.519 * [taylor]: Taking taylor expansion of re in im 1.521 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 1.521 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.521 * [taylor]: Taking taylor expansion of 2.0 in re 1.521 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.521 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.521 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.522 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.522 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.522 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.522 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.522 * [taylor]: Taking taylor expansion of -1 in re 1.522 * [taylor]: Taking taylor expansion of re in re 1.522 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.522 * [taylor]: Taking taylor expansion of -1 in re 1.522 * [taylor]: Taking taylor expansion of re in re 1.522 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.522 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.522 * [taylor]: Taking taylor expansion of -1 in re 1.522 * [taylor]: Taking taylor expansion of im in re 1.522 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.522 * [taylor]: Taking taylor expansion of -1 in re 1.522 * [taylor]: Taking taylor expansion of im in re 1.525 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.525 * [taylor]: Taking taylor expansion of re in re 1.531 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 1.531 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.531 * [taylor]: Taking taylor expansion of 2.0 in re 1.532 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.532 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.532 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.532 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.532 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.532 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.532 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.532 * [taylor]: Taking taylor expansion of -1 in re 1.532 * [taylor]: Taking taylor expansion of re in re 1.532 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.532 * [taylor]: Taking taylor expansion of -1 in re 1.532 * [taylor]: Taking taylor expansion of re in re 1.533 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.533 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.533 * [taylor]: Taking taylor expansion of -1 in re 1.533 * [taylor]: Taking taylor expansion of im in re 1.533 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.533 * [taylor]: Taking taylor expansion of -1 in re 1.533 * [taylor]: Taking taylor expansion of im in re 1.536 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.536 * [taylor]: Taking taylor expansion of re in re 1.542 * [taylor]: Taking taylor expansion of 0 in im 1.543 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 1.543 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.543 * [taylor]: Taking taylor expansion of +nan.0 in im 1.543 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.543 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.543 * [taylor]: Taking taylor expansion of 2.0 in im 1.544 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.544 * [taylor]: Taking taylor expansion of im in im 1.552 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 1.552 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.552 * [taylor]: Taking taylor expansion of +nan.0 in im 1.552 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.552 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.552 * [taylor]: Taking taylor expansion of 2.0 in im 1.552 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.552 * [taylor]: Taking taylor expansion of im in im 1.570 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 1.570 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 1.570 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.570 * [taylor]: Taking taylor expansion of +nan.0 in im 1.570 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.570 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.570 * [taylor]: Taking taylor expansion of 2.0 in im 1.570 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.570 * [taylor]: Taking taylor expansion of im in im 1.572 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 1.572 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 1.572 * [taylor]: Taking taylor expansion of +nan.0 in im 1.572 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 1.572 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.572 * [taylor]: Taking taylor expansion of 2.0 in im 1.572 * [taylor]: Taking taylor expansion of (pow im 6) in im 1.572 * [taylor]: Taking taylor expansion of im in im 1.603 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 1.603 * [approximate]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in (re im) around 0 1.603 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 1.603 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.603 * [taylor]: Taking taylor expansion of re in im 1.603 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.603 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.603 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.603 * [taylor]: Taking taylor expansion of (* re re) in im 1.603 * [taylor]: Taking taylor expansion of re in im 1.603 * [taylor]: Taking taylor expansion of re in im 1.603 * [taylor]: Taking taylor expansion of (* im im) in im 1.603 * [taylor]: Taking taylor expansion of im in im 1.603 * [taylor]: Taking taylor expansion of im in im 1.605 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 1.605 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.605 * [taylor]: Taking taylor expansion of re in re 1.605 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.605 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.605 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.605 * [taylor]: Taking taylor expansion of (* re re) in re 1.605 * [taylor]: Taking taylor expansion of re in re 1.605 * [taylor]: Taking taylor expansion of re in re 1.605 * [taylor]: Taking taylor expansion of (* im im) in re 1.605 * [taylor]: Taking taylor expansion of im in re 1.605 * [taylor]: Taking taylor expansion of im in re 1.607 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 1.607 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.607 * [taylor]: Taking taylor expansion of re in re 1.607 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.607 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.607 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.607 * [taylor]: Taking taylor expansion of (* re re) in re 1.607 * [taylor]: Taking taylor expansion of re in re 1.607 * [taylor]: Taking taylor expansion of re in re 1.607 * [taylor]: Taking taylor expansion of (* im im) in re 1.607 * [taylor]: Taking taylor expansion of im in re 1.607 * [taylor]: Taking taylor expansion of im in re 1.608 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.609 * [taylor]: Taking taylor expansion of im in im 1.610 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 im))) in im 1.610 * [taylor]: Taking taylor expansion of 1/2 in im 1.610 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.610 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.610 * [taylor]: Taking taylor expansion of im in im 1.614 * [taylor]: Taking taylor expansion of (* 1/8 (sqrt (/ 1 (pow im 3)))) in im 1.614 * [taylor]: Taking taylor expansion of 1/8 in im 1.614 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 1.614 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 1.614 * [taylor]: Taking taylor expansion of (pow im 3) in im 1.614 * [taylor]: Taking taylor expansion of im in im 1.622 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in (re im) around 0 1.622 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 1.622 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 1.622 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.622 * [taylor]: Taking taylor expansion of re in im 1.622 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.622 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.622 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.622 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.622 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.622 * [taylor]: Taking taylor expansion of re in im 1.622 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.622 * [taylor]: Taking taylor expansion of re in im 1.622 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.622 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.622 * [taylor]: Taking taylor expansion of im in im 1.622 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.622 * [taylor]: Taking taylor expansion of im in im 1.626 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 1.627 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.627 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.627 * [taylor]: Taking taylor expansion of re in re 1.627 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.627 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.627 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.627 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.627 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.627 * [taylor]: Taking taylor expansion of re in re 1.627 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.627 * [taylor]: Taking taylor expansion of re in re 1.628 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.628 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.628 * [taylor]: Taking taylor expansion of im in re 1.628 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.628 * [taylor]: Taking taylor expansion of im in re 1.632 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 1.632 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.632 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.632 * [taylor]: Taking taylor expansion of re in re 1.632 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.632 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.632 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.632 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.632 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.632 * [taylor]: Taking taylor expansion of re in re 1.632 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.632 * [taylor]: Taking taylor expansion of re in re 1.633 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.633 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.633 * [taylor]: Taking taylor expansion of im in re 1.633 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.633 * [taylor]: Taking taylor expansion of im in re 1.637 * [taylor]: Taking taylor expansion of 0 in im 1.637 * [taylor]: Taking taylor expansion of +nan.0 in im 1.640 * [taylor]: Taking taylor expansion of +nan.0 in im 1.644 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 1.644 * [taylor]: Taking taylor expansion of +nan.0 in im 1.644 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 1.644 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.644 * [taylor]: Taking taylor expansion of 1/2 in im 1.644 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.644 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.644 * [taylor]: Taking taylor expansion of im in im 1.645 * [taylor]: Taking taylor expansion of +nan.0 in im 1.651 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 1.651 * [taylor]: Taking taylor expansion of +nan.0 in im 1.651 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 1.651 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 1.651 * [taylor]: Taking taylor expansion of +nan.0 in im 1.651 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.651 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.651 * [taylor]: Taking taylor expansion of im in im 1.652 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.652 * [taylor]: Taking taylor expansion of +nan.0 in im 1.659 * [approximate]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in (re im) around 0 1.659 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 1.659 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.659 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.659 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.659 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.660 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.660 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.660 * [taylor]: Taking taylor expansion of -1 in im 1.660 * [taylor]: Taking taylor expansion of re in im 1.660 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.660 * [taylor]: Taking taylor expansion of -1 in im 1.660 * [taylor]: Taking taylor expansion of re in im 1.660 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.660 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.660 * [taylor]: Taking taylor expansion of -1 in im 1.660 * [taylor]: Taking taylor expansion of im in im 1.660 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.660 * [taylor]: Taking taylor expansion of -1 in im 1.660 * [taylor]: Taking taylor expansion of im in im 1.663 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.663 * [taylor]: Taking taylor expansion of re in im 1.664 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.664 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.665 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.665 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.665 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.665 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.665 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.665 * [taylor]: Taking taylor expansion of -1 in re 1.665 * [taylor]: Taking taylor expansion of re in re 1.665 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.665 * [taylor]: Taking taylor expansion of -1 in re 1.665 * [taylor]: Taking taylor expansion of re in re 1.665 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.665 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.665 * [taylor]: Taking taylor expansion of -1 in re 1.665 * [taylor]: Taking taylor expansion of im in re 1.665 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.665 * [taylor]: Taking taylor expansion of -1 in re 1.665 * [taylor]: Taking taylor expansion of im in re 1.668 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.668 * [taylor]: Taking taylor expansion of re in re 1.674 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.674 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.674 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.674 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.674 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.674 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.674 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.674 * [taylor]: Taking taylor expansion of -1 in re 1.674 * [taylor]: Taking taylor expansion of re in re 1.675 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.675 * [taylor]: Taking taylor expansion of -1 in re 1.675 * [taylor]: Taking taylor expansion of re in re 1.675 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.675 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.675 * [taylor]: Taking taylor expansion of -1 in re 1.675 * [taylor]: Taking taylor expansion of im in re 1.675 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.675 * [taylor]: Taking taylor expansion of -1 in re 1.675 * [taylor]: Taking taylor expansion of im in re 1.683 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.683 * [taylor]: Taking taylor expansion of re in re 1.690 * [taylor]: Taking taylor expansion of 0 in im 1.690 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 2)) in im 1.690 * [taylor]: Taking taylor expansion of +nan.0 in im 1.690 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.690 * [taylor]: Taking taylor expansion of im in im 1.695 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 4)) in im 1.695 * [taylor]: Taking taylor expansion of +nan.0 in im 1.696 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.696 * [taylor]: Taking taylor expansion of im in im 1.707 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6)))))) in im 1.707 * [taylor]: Taking taylor expansion of +nan.0 in im 1.707 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))) in im 1.707 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow im 4))) in im 1.707 * [taylor]: Taking taylor expansion of 1/8 in im 1.707 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 1.707 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.707 * [taylor]: Taking taylor expansion of im in im 1.708 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow im 6)))) in im 1.708 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 6))) in im 1.708 * [taylor]: Taking taylor expansion of +nan.0 in im 1.708 * [taylor]: Taking taylor expansion of (/ 1 (pow im 6)) in im 1.708 * [taylor]: Taking taylor expansion of (pow im 6) in im 1.708 * [taylor]: Taking taylor expansion of im in im 1.733 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1 2) 1.733 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 1.733 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.734 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.734 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.734 * [taylor]: Taking taylor expansion of (* re re) in im 1.734 * [taylor]: Taking taylor expansion of re in im 1.734 * [taylor]: Taking taylor expansion of re in im 1.734 * [taylor]: Taking taylor expansion of (* im im) in im 1.734 * [taylor]: Taking taylor expansion of im in im 1.734 * [taylor]: Taking taylor expansion of im in im 1.735 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.735 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.735 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.735 * [taylor]: Taking taylor expansion of (* re re) in re 1.735 * [taylor]: Taking taylor expansion of re in re 1.735 * [taylor]: Taking taylor expansion of re in re 1.735 * [taylor]: Taking taylor expansion of (* im im) in re 1.735 * [taylor]: Taking taylor expansion of im in re 1.735 * [taylor]: Taking taylor expansion of im in re 1.736 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.736 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.736 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.736 * [taylor]: Taking taylor expansion of (* re re) in re 1.736 * [taylor]: Taking taylor expansion of re in re 1.736 * [taylor]: Taking taylor expansion of re in re 1.736 * [taylor]: Taking taylor expansion of (* im im) in re 1.736 * [taylor]: Taking taylor expansion of im in re 1.736 * [taylor]: Taking taylor expansion of im in re 1.738 * [taylor]: Taking taylor expansion of im in im 1.738 * [taylor]: Taking taylor expansion of 0 in im 1.739 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.739 * [taylor]: Taking taylor expansion of 1/2 in im 1.739 * [taylor]: Taking taylor expansion of im in im 1.742 * [taylor]: Taking taylor expansion of 0 in im 1.742 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 1.742 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.742 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.743 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.743 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.743 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.743 * [taylor]: Taking taylor expansion of re in im 1.743 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.743 * [taylor]: Taking taylor expansion of re in im 1.743 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.743 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.743 * [taylor]: Taking taylor expansion of im in im 1.743 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.743 * [taylor]: Taking taylor expansion of im in im 1.746 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.746 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.746 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.746 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.746 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.746 * [taylor]: Taking taylor expansion of re in re 1.746 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.746 * [taylor]: Taking taylor expansion of re in re 1.747 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.747 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.747 * [taylor]: Taking taylor expansion of im in re 1.747 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.747 * [taylor]: Taking taylor expansion of im in re 1.749 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.750 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.750 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.750 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.750 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.750 * [taylor]: Taking taylor expansion of re in re 1.750 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.750 * [taylor]: Taking taylor expansion of re in re 1.750 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.750 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.750 * [taylor]: Taking taylor expansion of im in re 1.750 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.750 * [taylor]: Taking taylor expansion of im in re 1.753 * [taylor]: Taking taylor expansion of 1 in im 1.753 * [taylor]: Taking taylor expansion of 0 in im 1.756 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.756 * [taylor]: Taking taylor expansion of 1/2 in im 1.756 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.756 * [taylor]: Taking taylor expansion of im in im 1.760 * [taylor]: Taking taylor expansion of 0 in im 1.761 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 1.761 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.761 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.761 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.761 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.761 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.761 * [taylor]: Taking taylor expansion of -1 in im 1.761 * [taylor]: Taking taylor expansion of re in im 1.761 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.761 * [taylor]: Taking taylor expansion of -1 in im 1.761 * [taylor]: Taking taylor expansion of re in im 1.761 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.761 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.761 * [taylor]: Taking taylor expansion of -1 in im 1.761 * [taylor]: Taking taylor expansion of im in im 1.762 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.762 * [taylor]: Taking taylor expansion of -1 in im 1.762 * [taylor]: Taking taylor expansion of im in im 1.765 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.765 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.765 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.765 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.765 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.765 * [taylor]: Taking taylor expansion of -1 in re 1.765 * [taylor]: Taking taylor expansion of re in re 1.765 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.765 * [taylor]: Taking taylor expansion of -1 in re 1.765 * [taylor]: Taking taylor expansion of re in re 1.765 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.765 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.765 * [taylor]: Taking taylor expansion of -1 in re 1.766 * [taylor]: Taking taylor expansion of im in re 1.766 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.766 * [taylor]: Taking taylor expansion of -1 in re 1.766 * [taylor]: Taking taylor expansion of im in re 1.774 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.774 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.774 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.774 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.774 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.774 * [taylor]: Taking taylor expansion of -1 in re 1.774 * [taylor]: Taking taylor expansion of re in re 1.775 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.775 * [taylor]: Taking taylor expansion of -1 in re 1.775 * [taylor]: Taking taylor expansion of re in re 1.775 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.775 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.775 * [taylor]: Taking taylor expansion of -1 in re 1.775 * [taylor]: Taking taylor expansion of im in re 1.775 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.775 * [taylor]: Taking taylor expansion of -1 in re 1.775 * [taylor]: Taking taylor expansion of im in re 1.778 * [taylor]: Taking taylor expansion of 1 in im 1.778 * [taylor]: Taking taylor expansion of 0 in im 1.781 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.781 * [taylor]: Taking taylor expansion of 1/2 in im 1.781 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.781 * [taylor]: Taking taylor expansion of im in im 1.785 * [taylor]: Taking taylor expansion of 0 in im 1.786 * * * [progress]: simplifying candidates 1.787 * [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 (+ (* (sqrt 1) (hypot re im)) re)))) (log1p (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)) (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)) (+ (log (sqrt 2.0)) (log (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (log (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (exp (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (cbrt (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (cbrt (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re))))) (cbrt (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (* (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt 2.0) (* (cbrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))))) (* (sqrt 2.0) (sqrt (* (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (cbrt (+ (* (sqrt 1) (hypot re im)) re))))) (* (sqrt 2.0) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt 2.0) (sqrt 1)) (* (sqrt 2.0) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt 2.0) 1) (* (cbrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt (cbrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt 2.0) (sqrt (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3)))) (* (sqrt 2.0) (sqrt (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re)))) (expm1 (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (log1p (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (log (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (exp (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (cbrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (cbrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (* (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (* (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (cbrt (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (sqrt 1) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (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 (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re))) (sqrt (- (* (sqrt 1) (hypot re im)) re)) (/ 1 2) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (+ re im) (* 2 re) 0 (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0 (- (+ (* +nan.0 (pow re 2)) (- (+ (* +nan.0 im) (- (* +nan.0 re)))))) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) 0 im re (* -1 re) 1.793 * * [simplify]: iteration 0 : 322 enodes (cost 609 ) 1.798 * * [simplify]: iteration 1 : 1121 enodes (cost 566 ) 1.823 * * [simplify]: iteration 2 : 5001 enodes (cost 552 ) 1.826 * [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 1 (* (hypot re im) (hypot re im)) (* re (- re (* (sqrt 1) (hypot re im))))) (- (* (* (hypot re im) (hypot re im)) 1) (pow re 2)) (- (* (sqrt 1) (hypot re im)) re) (expm1 (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (log1p (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* 2.0 (fma (sqrt 1) (hypot re im) re)) (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* 2.0 (fma (sqrt 1) (hypot re im) re)) (log (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (log (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (exp (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (pow (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) 3) (* (cbrt (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (cbrt (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re))))) (cbrt (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (pow (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) 3) (* 2.0 (fma (sqrt 1) (hypot re im) re)) (sqrt (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt 2.0) (* (cbrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))))) (* (fabs (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (sqrt 2.0)) (* (sqrt 2.0) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt 2.0) (* (sqrt 2.0) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt 2.0) (* (cbrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt (cbrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt 2.0) (hypot (pow re 3/2) (pow (* (sqrt 1) (hypot re im)) 3/2))) (* (sqrt 2.0) (sqrt (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re)))) (expm1 (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (log1p (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (log (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (exp (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (cbrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (cbrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (pow (sqrt (+ (* (sqrt 1) (hypot re im)) re)) 3) (fabs (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) 1 (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (hypot (pow re 3/2) (pow (* (sqrt 1) (hypot re im)) 3/2)) (sqrt (+ (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (- (* re re) (* (* (sqrt 1) (hypot re im)) re)))) (sqrt (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re))) (sqrt (- (* (sqrt 1) (hypot re im)) re)) 1/2 (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (expm1 (hypot re im)) (log1p (hypot re im)) (fma re re (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (sqrt (hypot re im)) (sqrt (hypot re im)) (+ re im) (* 2 re) 0 (* (* +nan.0 (sqrt 2.0)) (+ (- (* re re)) (- im re))) (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) 0 (fma (- (* re re)) +nan.0 (* +nan.0 (- im re))) (- (- (/ +nan.0 re) +nan.0) (/ +nan.0 (pow re 2))) 0 im re (* -1 re) 1.826 * * * [progress]: adding candidates to table 2.073 * * [progress]: iteration 4 / 4 2.073 * * * [progress]: picking best candidate 2.088 * * * * [pick]: Picked # 2.088 * * * [progress]: localizing error 2.102 * * * [progress]: generating rewritten candidates 2.102 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2 1) 2.109 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 2.138 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 2.158 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2) 2.167 * * * [progress]: generating series expansions 2.167 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2 1) 2.167 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 2.167 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 2.167 * [taylor]: Taking taylor expansion of re in im 2.167 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.167 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.168 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.168 * [taylor]: Taking taylor expansion of (* re re) in im 2.168 * [taylor]: Taking taylor expansion of re in im 2.168 * [taylor]: Taking taylor expansion of re in im 2.168 * [taylor]: Taking taylor expansion of (* im im) in im 2.168 * [taylor]: Taking taylor expansion of im in im 2.168 * [taylor]: Taking taylor expansion of im in im 2.169 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.169 * [taylor]: Taking taylor expansion of re in re 2.169 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.169 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.169 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.169 * [taylor]: Taking taylor expansion of (* re re) in re 2.169 * [taylor]: Taking taylor expansion of re in re 2.169 * [taylor]: Taking taylor expansion of re in re 2.169 * [taylor]: Taking taylor expansion of (* im im) in re 2.169 * [taylor]: Taking taylor expansion of im in re 2.169 * [taylor]: Taking taylor expansion of im in re 2.170 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.170 * [taylor]: Taking taylor expansion of re in re 2.170 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.170 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.171 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.171 * [taylor]: Taking taylor expansion of (* re re) in re 2.171 * [taylor]: Taking taylor expansion of re in re 2.171 * [taylor]: Taking taylor expansion of re in re 2.171 * [taylor]: Taking taylor expansion of (* im im) in re 2.171 * [taylor]: Taking taylor expansion of im in re 2.171 * [taylor]: Taking taylor expansion of im in re 2.172 * [taylor]: Taking taylor expansion of im in im 2.172 * [taylor]: Taking taylor expansion of 1 in im 2.174 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.174 * [taylor]: Taking taylor expansion of 1/2 in im 2.174 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.174 * [taylor]: Taking taylor expansion of im in im 2.177 * [taylor]: Taking taylor expansion of 0 in im 2.178 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 2.178 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 2.178 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.178 * [taylor]: Taking taylor expansion of re in im 2.178 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.178 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.178 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.178 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.178 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.179 * [taylor]: Taking taylor expansion of re in im 2.179 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.179 * [taylor]: Taking taylor expansion of re in im 2.179 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.179 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.179 * [taylor]: Taking taylor expansion of im in im 2.179 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.179 * [taylor]: Taking taylor expansion of im in im 2.182 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.182 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.182 * [taylor]: Taking taylor expansion of re in re 2.182 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.182 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.182 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.182 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.182 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.182 * [taylor]: Taking taylor expansion of re in re 2.183 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.183 * [taylor]: Taking taylor expansion of re in re 2.183 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.183 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.183 * [taylor]: Taking taylor expansion of im in re 2.183 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.183 * [taylor]: Taking taylor expansion of im in re 2.190 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.190 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.190 * [taylor]: Taking taylor expansion of re in re 2.190 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.190 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.190 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.190 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.190 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.190 * [taylor]: Taking taylor expansion of re in re 2.191 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.191 * [taylor]: Taking taylor expansion of re in re 2.191 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.191 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.191 * [taylor]: Taking taylor expansion of im in re 2.191 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.191 * [taylor]: Taking taylor expansion of im in re 2.194 * [taylor]: Taking taylor expansion of 2 in im 2.195 * [taylor]: Taking taylor expansion of 0 in im 2.198 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.198 * [taylor]: Taking taylor expansion of 1/2 in im 2.198 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.198 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.198 * [taylor]: Taking taylor expansion of im in im 2.203 * [taylor]: Taking taylor expansion of 0 in im 2.205 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 2.205 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 2.205 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.206 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.206 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.206 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.206 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.206 * [taylor]: Taking taylor expansion of -1 in im 2.206 * [taylor]: Taking taylor expansion of re in im 2.206 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.206 * [taylor]: Taking taylor expansion of -1 in im 2.206 * [taylor]: Taking taylor expansion of re in im 2.206 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.206 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.206 * [taylor]: Taking taylor expansion of -1 in im 2.206 * [taylor]: Taking taylor expansion of im in im 2.206 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.206 * [taylor]: Taking taylor expansion of -1 in im 2.206 * [taylor]: Taking taylor expansion of im in im 2.209 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.209 * [taylor]: Taking taylor expansion of re in im 2.209 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.209 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.209 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.209 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.209 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.209 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.209 * [taylor]: Taking taylor expansion of -1 in re 2.209 * [taylor]: Taking taylor expansion of re in re 2.210 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.210 * [taylor]: Taking taylor expansion of -1 in re 2.210 * [taylor]: Taking taylor expansion of re in re 2.210 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.210 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.210 * [taylor]: Taking taylor expansion of -1 in re 2.210 * [taylor]: Taking taylor expansion of im in re 2.210 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.210 * [taylor]: Taking taylor expansion of -1 in re 2.210 * [taylor]: Taking taylor expansion of im in re 2.213 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.213 * [taylor]: Taking taylor expansion of re in re 2.213 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.213 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.213 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.213 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.213 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.213 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.214 * [taylor]: Taking taylor expansion of -1 in re 2.214 * [taylor]: Taking taylor expansion of re in re 2.214 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.214 * [taylor]: Taking taylor expansion of -1 in re 2.214 * [taylor]: Taking taylor expansion of re in re 2.214 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.214 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.214 * [taylor]: Taking taylor expansion of -1 in re 2.214 * [taylor]: Taking taylor expansion of im in re 2.214 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.214 * [taylor]: Taking taylor expansion of -1 in re 2.214 * [taylor]: Taking taylor expansion of im in re 2.217 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.217 * [taylor]: Taking taylor expansion of re in re 2.218 * [taylor]: Taking taylor expansion of 0 in im 2.219 * [taylor]: Taking taylor expansion of 0 in im 2.222 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.222 * [taylor]: Taking taylor expansion of 1/2 in im 2.222 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.222 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.222 * [taylor]: Taking taylor expansion of im in im 2.228 * [taylor]: Taking taylor expansion of 0 in im 2.229 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 2.231 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0 2.231 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im 2.231 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 2.231 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 2.231 * [taylor]: Taking taylor expansion of re in im 2.231 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.231 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.231 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.231 * [taylor]: Taking taylor expansion of (* re re) in im 2.231 * [taylor]: Taking taylor expansion of re in im 2.231 * [taylor]: Taking taylor expansion of re in im 2.231 * [taylor]: Taking taylor expansion of (* im im) in im 2.231 * [taylor]: Taking taylor expansion of im in im 2.231 * [taylor]: Taking taylor expansion of im in im 2.233 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.233 * [taylor]: Taking taylor expansion of 2.0 in im 2.234 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 2.234 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 2.234 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.234 * [taylor]: Taking taylor expansion of re in re 2.234 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.234 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.234 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.234 * [taylor]: Taking taylor expansion of (* re re) in re 2.234 * [taylor]: Taking taylor expansion of re in re 2.234 * [taylor]: Taking taylor expansion of re in re 2.234 * [taylor]: Taking taylor expansion of (* im im) in re 2.234 * [taylor]: Taking taylor expansion of im in re 2.234 * [taylor]: Taking taylor expansion of im in re 2.235 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.236 * [taylor]: Taking taylor expansion of 2.0 in re 2.236 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 2.236 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 2.236 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.236 * [taylor]: Taking taylor expansion of re in re 2.236 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.236 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.236 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.236 * [taylor]: Taking taylor expansion of (* re re) in re 2.236 * [taylor]: Taking taylor expansion of re in re 2.236 * [taylor]: Taking taylor expansion of re in re 2.236 * [taylor]: Taking taylor expansion of (* im im) in re 2.236 * [taylor]: Taking taylor expansion of im in re 2.237 * [taylor]: Taking taylor expansion of im in re 2.238 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.238 * [taylor]: Taking taylor expansion of 2.0 in re 2.239 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 2.239 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.239 * [taylor]: Taking taylor expansion of 2.0 in im 2.240 * [taylor]: Taking taylor expansion of (sqrt im) in im 2.240 * [taylor]: Taking taylor expansion of im in im 2.242 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 2.242 * [taylor]: Taking taylor expansion of 1/2 in im 2.242 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 2.242 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.242 * [taylor]: Taking taylor expansion of 2.0 in im 2.243 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 2.243 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.243 * [taylor]: Taking taylor expansion of im in im 2.255 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 2.255 * [taylor]: Taking taylor expansion of 1/8 in im 2.255 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 2.255 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.255 * [taylor]: Taking taylor expansion of 2.0 in im 2.255 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 2.255 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 2.255 * [taylor]: Taking taylor expansion of (pow im 3) in im 2.256 * [taylor]: Taking taylor expansion of im in im 2.273 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in (re im) around 0 2.273 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in im 2.273 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 2.273 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 2.273 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.273 * [taylor]: Taking taylor expansion of re in im 2.273 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.273 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.273 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.273 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.273 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.273 * [taylor]: Taking taylor expansion of re in im 2.273 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.273 * [taylor]: Taking taylor expansion of re in im 2.273 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.273 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.273 * [taylor]: Taking taylor expansion of im in im 2.274 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.274 * [taylor]: Taking taylor expansion of im in im 2.284 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.284 * [taylor]: Taking taylor expansion of 2.0 in im 2.284 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 2.285 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 2.285 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.285 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.285 * [taylor]: Taking taylor expansion of re in re 2.285 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.285 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.285 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.285 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.285 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.285 * [taylor]: Taking taylor expansion of re in re 2.285 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.286 * [taylor]: Taking taylor expansion of re in re 2.286 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.286 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.286 * [taylor]: Taking taylor expansion of im in re 2.286 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.286 * [taylor]: Taking taylor expansion of im in re 2.290 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.290 * [taylor]: Taking taylor expansion of 2.0 in re 2.291 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 2.291 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 2.291 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.291 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.291 * [taylor]: Taking taylor expansion of re in re 2.291 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.291 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.291 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.291 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.291 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.291 * [taylor]: Taking taylor expansion of re in re 2.291 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.291 * [taylor]: Taking taylor expansion of re in re 2.292 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.292 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.292 * [taylor]: Taking taylor expansion of im in re 2.292 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.292 * [taylor]: Taking taylor expansion of im in re 2.296 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.296 * [taylor]: Taking taylor expansion of 2.0 in re 2.297 * [taylor]: Taking taylor expansion of 0 in im 2.298 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 2.298 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.298 * [taylor]: Taking taylor expansion of +nan.0 in im 2.299 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.299 * [taylor]: Taking taylor expansion of 2.0 in im 2.305 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 2.305 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.305 * [taylor]: Taking taylor expansion of +nan.0 in im 2.305 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.305 * [taylor]: Taking taylor expansion of 2.0 in im 2.315 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 2.315 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 2.315 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 2.315 * [taylor]: Taking taylor expansion of +nan.0 in im 2.315 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 2.315 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.315 * [taylor]: Taking taylor expansion of 2.0 in im 2.315 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.315 * [taylor]: Taking taylor expansion of im in im 2.316 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 2.316 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.316 * [taylor]: Taking taylor expansion of +nan.0 in im 2.316 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.316 * [taylor]: Taking taylor expansion of 2.0 in im 2.329 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 2.329 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 2.329 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 2.329 * [taylor]: Taking taylor expansion of +nan.0 in im 2.329 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 2.329 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.329 * [taylor]: Taking taylor expansion of 2.0 in im 2.330 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.330 * [taylor]: Taking taylor expansion of im in im 2.331 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 2.331 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.331 * [taylor]: Taking taylor expansion of +nan.0 in im 2.331 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.331 * [taylor]: Taking taylor expansion of 2.0 in im 2.346 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 2.346 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 2.346 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.346 * [taylor]: Taking taylor expansion of 2.0 in im 2.347 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 2.347 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 2.347 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.347 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.347 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.347 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.347 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.347 * [taylor]: Taking taylor expansion of -1 in im 2.347 * [taylor]: Taking taylor expansion of re in im 2.347 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.347 * [taylor]: Taking taylor expansion of -1 in im 2.347 * [taylor]: Taking taylor expansion of re in im 2.347 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.347 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.347 * [taylor]: Taking taylor expansion of -1 in im 2.347 * [taylor]: Taking taylor expansion of im in im 2.348 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.348 * [taylor]: Taking taylor expansion of -1 in im 2.348 * [taylor]: Taking taylor expansion of im in im 2.351 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.351 * [taylor]: Taking taylor expansion of re in im 2.352 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 2.352 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.352 * [taylor]: Taking taylor expansion of 2.0 in re 2.353 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 2.353 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.353 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.353 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.353 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.353 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.353 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.353 * [taylor]: Taking taylor expansion of -1 in re 2.353 * [taylor]: Taking taylor expansion of re in re 2.354 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.354 * [taylor]: Taking taylor expansion of -1 in re 2.354 * [taylor]: Taking taylor expansion of re in re 2.354 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.354 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.354 * [taylor]: Taking taylor expansion of -1 in re 2.354 * [taylor]: Taking taylor expansion of im in re 2.354 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.354 * [taylor]: Taking taylor expansion of -1 in re 2.354 * [taylor]: Taking taylor expansion of im in re 2.357 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.357 * [taylor]: Taking taylor expansion of re in re 2.363 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 2.363 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.363 * [taylor]: Taking taylor expansion of 2.0 in re 2.364 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 2.364 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.364 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.364 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.364 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.364 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.364 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.364 * [taylor]: Taking taylor expansion of -1 in re 2.364 * [taylor]: Taking taylor expansion of re in re 2.364 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.364 * [taylor]: Taking taylor expansion of -1 in re 2.364 * [taylor]: Taking taylor expansion of re in re 2.364 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.364 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.364 * [taylor]: Taking taylor expansion of -1 in re 2.364 * [taylor]: Taking taylor expansion of im in re 2.364 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.365 * [taylor]: Taking taylor expansion of -1 in re 2.365 * [taylor]: Taking taylor expansion of im in re 2.367 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.367 * [taylor]: Taking taylor expansion of re in re 2.379 * [taylor]: Taking taylor expansion of 0 in im 2.380 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 2.380 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 2.380 * [taylor]: Taking taylor expansion of +nan.0 in im 2.380 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 2.380 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.380 * [taylor]: Taking taylor expansion of 2.0 in im 2.381 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.381 * [taylor]: Taking taylor expansion of im in im 2.389 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 2.389 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 2.389 * [taylor]: Taking taylor expansion of +nan.0 in im 2.389 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 2.389 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.389 * [taylor]: Taking taylor expansion of 2.0 in im 2.390 * [taylor]: Taking taylor expansion of (pow im 4) in im 2.390 * [taylor]: Taking taylor expansion of im in im 2.407 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 2.408 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 2.408 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 2.408 * [taylor]: Taking taylor expansion of +nan.0 in im 2.408 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 2.408 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.408 * [taylor]: Taking taylor expansion of 2.0 in im 2.408 * [taylor]: Taking taylor expansion of (pow im 4) in im 2.408 * [taylor]: Taking taylor expansion of im in im 2.409 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 2.410 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 2.410 * [taylor]: Taking taylor expansion of +nan.0 in im 2.410 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 2.410 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.410 * [taylor]: Taking taylor expansion of 2.0 in im 2.410 * [taylor]: Taking taylor expansion of (pow im 6) in im 2.410 * [taylor]: Taking taylor expansion of im in im 2.434 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 2.435 * [approximate]: Taking taylor expansion of (sqrt (* (+ re (hypot re im)) (sqrt 2.0))) in (re im) around 0 2.436 * [taylor]: Taking taylor expansion of (sqrt (* (+ re (hypot re im)) (sqrt 2.0))) in im 2.436 * [taylor]: Taking taylor expansion of (* (+ re (hypot re im)) (sqrt 2.0)) in im 2.436 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 2.436 * [taylor]: Taking taylor expansion of re in im 2.436 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.436 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.436 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.436 * [taylor]: Taking taylor expansion of (* re re) in im 2.436 * [taylor]: Taking taylor expansion of re in im 2.436 * [taylor]: Taking taylor expansion of re in im 2.436 * [taylor]: Taking taylor expansion of (* im im) in im 2.436 * [taylor]: Taking taylor expansion of im in im 2.436 * [taylor]: Taking taylor expansion of im in im 2.437 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.437 * [taylor]: Taking taylor expansion of 2.0 in im 2.439 * [taylor]: Taking taylor expansion of (sqrt (* (+ re (hypot re im)) (sqrt 2.0))) in re 2.439 * [taylor]: Taking taylor expansion of (* (+ re (hypot re im)) (sqrt 2.0)) in re 2.439 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.439 * [taylor]: Taking taylor expansion of re in re 2.439 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.439 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.439 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.440 * [taylor]: Taking taylor expansion of (* re re) in re 2.440 * [taylor]: Taking taylor expansion of re in re 2.440 * [taylor]: Taking taylor expansion of re in re 2.440 * [taylor]: Taking taylor expansion of (* im im) in re 2.440 * [taylor]: Taking taylor expansion of im in re 2.440 * [taylor]: Taking taylor expansion of im in re 2.441 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.441 * [taylor]: Taking taylor expansion of 2.0 in re 2.443 * [taylor]: Taking taylor expansion of (sqrt (* (+ re (hypot re im)) (sqrt 2.0))) in re 2.443 * [taylor]: Taking taylor expansion of (* (+ re (hypot re im)) (sqrt 2.0)) in re 2.444 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.444 * [taylor]: Taking taylor expansion of re in re 2.444 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.444 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.444 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.444 * [taylor]: Taking taylor expansion of (* re re) in re 2.444 * [taylor]: Taking taylor expansion of re in re 2.444 * [taylor]: Taking taylor expansion of re in re 2.444 * [taylor]: Taking taylor expansion of (* im im) in re 2.444 * [taylor]: Taking taylor expansion of im in re 2.444 * [taylor]: Taking taylor expansion of im in re 2.445 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.445 * [taylor]: Taking taylor expansion of 2.0 in re 2.448 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) im)) in im 2.448 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 2.448 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.448 * [taylor]: Taking taylor expansion of 2.0 in im 2.449 * [taylor]: Taking taylor expansion of im in im 2.452 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ (sqrt 2.0) im))) in im 2.452 * [taylor]: Taking taylor expansion of 1/2 in im 2.452 * [taylor]: Taking taylor expansion of (sqrt (/ (sqrt 2.0) im)) in im 2.452 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.452 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.452 * [taylor]: Taking taylor expansion of 2.0 in im 2.453 * [taylor]: Taking taylor expansion of im in im 2.468 * [taylor]: Taking taylor expansion of (* 1/8 (sqrt (/ (sqrt 2.0) (pow im 3)))) in im 2.468 * [taylor]: Taking taylor expansion of 1/8 in im 2.468 * [taylor]: Taking taylor expansion of (sqrt (/ (sqrt 2.0) (pow im 3))) in im 2.468 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 3)) in im 2.468 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.468 * [taylor]: Taking taylor expansion of 2.0 in im 2.469 * [taylor]: Taking taylor expansion of (pow im 3) in im 2.469 * [taylor]: Taking taylor expansion of im in im 2.485 * [approximate]: Taking taylor expansion of (sqrt (* (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) (sqrt 2.0))) in (re im) around 0 2.485 * [taylor]: Taking taylor expansion of (sqrt (* (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) (sqrt 2.0))) in im 2.485 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) (sqrt 2.0)) in im 2.485 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 2.485 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.485 * [taylor]: Taking taylor expansion of re in im 2.485 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.485 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.485 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.485 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.485 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.485 * [taylor]: Taking taylor expansion of re in im 2.485 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.485 * [taylor]: Taking taylor expansion of re in im 2.485 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.485 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.485 * [taylor]: Taking taylor expansion of im in im 2.486 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.486 * [taylor]: Taking taylor expansion of im in im 2.489 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.489 * [taylor]: Taking taylor expansion of 2.0 in im 2.492 * [taylor]: Taking taylor expansion of (sqrt (* (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) (sqrt 2.0))) in re 2.492 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) (sqrt 2.0)) in re 2.492 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.492 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.492 * [taylor]: Taking taylor expansion of re in re 2.492 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.492 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.492 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.492 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.492 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.492 * [taylor]: Taking taylor expansion of re in re 2.492 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.492 * [taylor]: Taking taylor expansion of re in re 2.493 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.493 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.493 * [taylor]: Taking taylor expansion of im in re 2.493 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.493 * [taylor]: Taking taylor expansion of im in re 2.495 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.495 * [taylor]: Taking taylor expansion of 2.0 in re 2.499 * [taylor]: Taking taylor expansion of (sqrt (* (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) (sqrt 2.0))) in re 2.499 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) (sqrt 2.0)) in re 2.499 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.499 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.499 * [taylor]: Taking taylor expansion of re in re 2.499 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.500 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.500 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.500 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.500 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.500 * [taylor]: Taking taylor expansion of re in re 2.500 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.500 * [taylor]: Taking taylor expansion of re in re 2.500 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.500 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.500 * [taylor]: Taking taylor expansion of im in re 2.500 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.500 * [taylor]: Taking taylor expansion of im in re 2.503 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.503 * [taylor]: Taking taylor expansion of 2.0 in re 2.506 * [taylor]: Taking taylor expansion of 0 in im 2.506 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.506 * [taylor]: Taking taylor expansion of +nan.0 in im 2.506 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.506 * [taylor]: Taking taylor expansion of 2.0 in im 2.511 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 2)) in im 2.511 * [taylor]: Taking taylor expansion of +nan.0 in im 2.511 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 2.511 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.511 * [taylor]: Taking taylor expansion of 2.0 in im 2.524 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ (sqrt 2.0) (pow im 2))) (* +nan.0 (pow (sqrt 2.0) 3)))) in im 2.524 * [taylor]: Taking taylor expansion of +nan.0 in im 2.524 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (sqrt 2.0) (pow im 2))) (* +nan.0 (pow (sqrt 2.0) 3))) in im 2.524 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 2.0) (pow im 2))) in im 2.524 * [taylor]: Taking taylor expansion of 1/2 in im 2.524 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 2.524 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.524 * [taylor]: Taking taylor expansion of 2.0 in im 2.525 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.525 * [taylor]: Taking taylor expansion of im in im 2.525 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 3)) in im 2.526 * [taylor]: Taking taylor expansion of +nan.0 in im 2.526 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 3) in im 2.526 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.526 * [taylor]: Taking taylor expansion of 2.0 in im 2.543 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 2))) (- (* +nan.0 (pow (sqrt 2.0) 4))))) in im 2.543 * [taylor]: Taking taylor expansion of +nan.0 in im 2.543 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 2))) (- (* +nan.0 (pow (sqrt 2.0) 4)))) in im 2.543 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 2))) in im 2.543 * [taylor]: Taking taylor expansion of +nan.0 in im 2.543 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (pow im 2)) in im 2.543 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 2.543 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.543 * [taylor]: Taking taylor expansion of 2.0 in im 2.543 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.543 * [taylor]: Taking taylor expansion of im in im 2.546 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (sqrt 2.0) 4))) in im 2.546 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 4)) in im 2.546 * [taylor]: Taking taylor expansion of +nan.0 in im 2.546 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 4) in im 2.546 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.546 * [taylor]: Taking taylor expansion of 2.0 in im 2.579 * [approximate]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 2.579 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 2.579 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 2.579 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.579 * [taylor]: Taking taylor expansion of 2.0 in im 2.580 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 2.580 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.580 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.580 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.580 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.580 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.580 * [taylor]: Taking taylor expansion of -1 in im 2.580 * [taylor]: Taking taylor expansion of re in im 2.580 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.580 * [taylor]: Taking taylor expansion of -1 in im 2.580 * [taylor]: Taking taylor expansion of re in im 2.580 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.580 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.580 * [taylor]: Taking taylor expansion of -1 in im 2.580 * [taylor]: Taking taylor expansion of im in im 2.581 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.581 * [taylor]: Taking taylor expansion of -1 in im 2.581 * [taylor]: Taking taylor expansion of im in im 2.584 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.584 * [taylor]: Taking taylor expansion of re in im 2.586 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 2.586 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 2.586 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.586 * [taylor]: Taking taylor expansion of 2.0 in re 2.587 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.587 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.587 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.587 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.587 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.587 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.587 * [taylor]: Taking taylor expansion of -1 in re 2.587 * [taylor]: Taking taylor expansion of re in re 2.587 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.587 * [taylor]: Taking taylor expansion of -1 in re 2.587 * [taylor]: Taking taylor expansion of re in re 2.588 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.588 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.588 * [taylor]: Taking taylor expansion of -1 in re 2.588 * [taylor]: Taking taylor expansion of im in re 2.588 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.588 * [taylor]: Taking taylor expansion of -1 in re 2.588 * [taylor]: Taking taylor expansion of im in re 2.591 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.591 * [taylor]: Taking taylor expansion of re in re 2.599 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 2.599 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 2.599 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.599 * [taylor]: Taking taylor expansion of 2.0 in re 2.600 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.600 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.600 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.600 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.600 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.600 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.600 * [taylor]: Taking taylor expansion of -1 in re 2.600 * [taylor]: Taking taylor expansion of re in re 2.600 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.600 * [taylor]: Taking taylor expansion of -1 in re 2.600 * [taylor]: Taking taylor expansion of re in re 2.601 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.601 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.601 * [taylor]: Taking taylor expansion of -1 in re 2.601 * [taylor]: Taking taylor expansion of im in re 2.601 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.601 * [taylor]: Taking taylor expansion of -1 in re 2.601 * [taylor]: Taking taylor expansion of im in re 2.604 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.604 * [taylor]: Taking taylor expansion of re in re 2.612 * [taylor]: Taking taylor expansion of 0 in im 2.612 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 2.612 * [taylor]: Taking taylor expansion of +nan.0 in im 2.612 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 2.612 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.612 * [taylor]: Taking taylor expansion of 2.0 in im 2.613 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.613 * [taylor]: Taking taylor expansion of im in im 2.621 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 4))) in im 2.621 * [taylor]: Taking taylor expansion of +nan.0 in im 2.621 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (pow im 4)) in im 2.621 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 2.621 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.621 * [taylor]: Taking taylor expansion of 2.0 in im 2.622 * [taylor]: Taking taylor expansion of (pow im 4) in im 2.622 * [taylor]: Taking taylor expansion of im in im 2.651 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* 1/8 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 6)))))) in im 2.651 * [taylor]: Taking taylor expansion of +nan.0 in im 2.651 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 6))))) in im 2.651 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 2.0) (pow im 4))) in im 2.651 * [taylor]: Taking taylor expansion of 1/8 in im 2.651 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 2.651 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.651 * [taylor]: Taking taylor expansion of 2.0 in im 2.652 * [taylor]: Taking taylor expansion of (pow im 4) in im 2.652 * [taylor]: Taking taylor expansion of im in im 2.653 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 6)))) in im 2.653 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 6))) in im 2.653 * [taylor]: Taking taylor expansion of +nan.0 in im 2.653 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 3) (pow im 6)) in im 2.653 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 3) in im 2.653 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.653 * [taylor]: Taking taylor expansion of 2.0 in im 2.654 * [taylor]: Taking taylor expansion of (pow im 6) in im 2.654 * [taylor]: Taking taylor expansion of im in im 2.702 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2) 2.703 * [approximate]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in (re im) around 0 2.703 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 2.703 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 2.703 * [taylor]: Taking taylor expansion of re in im 2.703 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.703 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.703 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.703 * [taylor]: Taking taylor expansion of (* re re) in im 2.703 * [taylor]: Taking taylor expansion of re in im 2.703 * [taylor]: Taking taylor expansion of re in im 2.703 * [taylor]: Taking taylor expansion of (* im im) in im 2.703 * [taylor]: Taking taylor expansion of im in im 2.703 * [taylor]: Taking taylor expansion of im in im 2.704 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 2.704 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.704 * [taylor]: Taking taylor expansion of re in re 2.704 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.705 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.705 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.705 * [taylor]: Taking taylor expansion of (* re re) in re 2.705 * [taylor]: Taking taylor expansion of re in re 2.705 * [taylor]: Taking taylor expansion of re in re 2.705 * [taylor]: Taking taylor expansion of (* im im) in re 2.705 * [taylor]: Taking taylor expansion of im in re 2.705 * [taylor]: Taking taylor expansion of im in re 2.706 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 2.706 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.706 * [taylor]: Taking taylor expansion of re in re 2.706 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.706 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.706 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.706 * [taylor]: Taking taylor expansion of (* re re) in re 2.706 * [taylor]: Taking taylor expansion of re in re 2.706 * [taylor]: Taking taylor expansion of re in re 2.706 * [taylor]: Taking taylor expansion of (* im im) in re 2.706 * [taylor]: Taking taylor expansion of im in re 2.706 * [taylor]: Taking taylor expansion of im in re 2.708 * [taylor]: Taking taylor expansion of (sqrt im) in im 2.708 * [taylor]: Taking taylor expansion of im in im 2.709 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 im))) in im 2.709 * [taylor]: Taking taylor expansion of 1/2 in im 2.709 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 2.709 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.709 * [taylor]: Taking taylor expansion of im in im 2.714 * [taylor]: Taking taylor expansion of (* 1/8 (sqrt (/ 1 (pow im 3)))) in im 2.714 * [taylor]: Taking taylor expansion of 1/8 in im 2.714 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 2.714 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 2.714 * [taylor]: Taking taylor expansion of (pow im 3) in im 2.714 * [taylor]: Taking taylor expansion of im in im 2.721 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in (re im) around 0 2.721 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 2.721 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 2.721 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.721 * [taylor]: Taking taylor expansion of re in im 2.721 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.722 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.722 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.722 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.722 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.722 * [taylor]: Taking taylor expansion of re in im 2.722 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.722 * [taylor]: Taking taylor expansion of re in im 2.722 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.722 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.722 * [taylor]: Taking taylor expansion of im in im 2.722 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.722 * [taylor]: Taking taylor expansion of im in im 2.726 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 2.726 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.726 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.726 * [taylor]: Taking taylor expansion of re in re 2.727 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.727 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.727 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.727 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.727 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.727 * [taylor]: Taking taylor expansion of re in re 2.727 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.727 * [taylor]: Taking taylor expansion of re in re 2.727 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.727 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.727 * [taylor]: Taking taylor expansion of im in re 2.728 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.728 * [taylor]: Taking taylor expansion of im in re 2.731 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 2.731 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.731 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.731 * [taylor]: Taking taylor expansion of re in re 2.732 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.732 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.738 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.738 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.738 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.738 * [taylor]: Taking taylor expansion of re in re 2.739 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.739 * [taylor]: Taking taylor expansion of re in re 2.739 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.739 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.739 * [taylor]: Taking taylor expansion of im in re 2.739 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.739 * [taylor]: Taking taylor expansion of im in re 2.743 * [taylor]: Taking taylor expansion of 0 in im 2.743 * [taylor]: Taking taylor expansion of +nan.0 in im 2.746 * [taylor]: Taking taylor expansion of +nan.0 in im 2.750 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 2.751 * [taylor]: Taking taylor expansion of +nan.0 in im 2.751 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 2.751 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.751 * [taylor]: Taking taylor expansion of 1/2 in im 2.751 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.751 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.751 * [taylor]: Taking taylor expansion of im in im 2.751 * [taylor]: Taking taylor expansion of +nan.0 in im 2.758 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 2.758 * [taylor]: Taking taylor expansion of +nan.0 in im 2.758 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 2.758 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 2.758 * [taylor]: Taking taylor expansion of +nan.0 in im 2.758 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.758 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.758 * [taylor]: Taking taylor expansion of im in im 2.758 * [taylor]: Taking taylor expansion of (- +nan.0) in im 2.758 * [taylor]: Taking taylor expansion of +nan.0 in im 2.766 * [approximate]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in (re im) around 0 2.766 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 2.766 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 2.766 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.766 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.766 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.766 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.766 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.766 * [taylor]: Taking taylor expansion of -1 in im 2.766 * [taylor]: Taking taylor expansion of re in im 2.766 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.766 * [taylor]: Taking taylor expansion of -1 in im 2.766 * [taylor]: Taking taylor expansion of re in im 2.766 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.766 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.766 * [taylor]: Taking taylor expansion of -1 in im 2.766 * [taylor]: Taking taylor expansion of im in im 2.767 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.767 * [taylor]: Taking taylor expansion of -1 in im 2.767 * [taylor]: Taking taylor expansion of im in im 2.770 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.770 * [taylor]: Taking taylor expansion of re in im 2.771 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 2.771 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.771 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.771 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.771 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.771 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.772 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.772 * [taylor]: Taking taylor expansion of -1 in re 2.772 * [taylor]: Taking taylor expansion of re in re 2.772 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.772 * [taylor]: Taking taylor expansion of -1 in re 2.772 * [taylor]: Taking taylor expansion of re in re 2.772 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.772 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.772 * [taylor]: Taking taylor expansion of -1 in re 2.772 * [taylor]: Taking taylor expansion of im in re 2.772 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.772 * [taylor]: Taking taylor expansion of -1 in re 2.772 * [taylor]: Taking taylor expansion of im in re 2.775 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.775 * [taylor]: Taking taylor expansion of re in re 2.781 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 2.781 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.781 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.781 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.781 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.781 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.781 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.781 * [taylor]: Taking taylor expansion of -1 in re 2.781 * [taylor]: Taking taylor expansion of re in re 2.781 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.781 * [taylor]: Taking taylor expansion of -1 in re 2.781 * [taylor]: Taking taylor expansion of re in re 2.782 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.782 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.782 * [taylor]: Taking taylor expansion of -1 in re 2.782 * [taylor]: Taking taylor expansion of im in re 2.782 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.782 * [taylor]: Taking taylor expansion of -1 in re 2.782 * [taylor]: Taking taylor expansion of im in re 2.785 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.785 * [taylor]: Taking taylor expansion of re in re 2.791 * [taylor]: Taking taylor expansion of 0 in im 2.791 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 2)) in im 2.791 * [taylor]: Taking taylor expansion of +nan.0 in im 2.791 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.791 * [taylor]: Taking taylor expansion of im in im 2.796 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 4)) in im 2.796 * [taylor]: Taking taylor expansion of +nan.0 in im 2.796 * [taylor]: Taking taylor expansion of (pow im 4) in im 2.796 * [taylor]: Taking taylor expansion of im in im 2.808 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6)))))) in im 2.808 * [taylor]: Taking taylor expansion of +nan.0 in im 2.808 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))) in im 2.808 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow im 4))) in im 2.808 * [taylor]: Taking taylor expansion of 1/8 in im 2.808 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 2.808 * [taylor]: Taking taylor expansion of (pow im 4) in im 2.808 * [taylor]: Taking taylor expansion of im in im 2.809 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow im 6)))) in im 2.809 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 6))) in im 2.809 * [taylor]: Taking taylor expansion of +nan.0 in im 2.809 * [taylor]: Taking taylor expansion of (/ 1 (pow im 6)) in im 2.809 * [taylor]: Taking taylor expansion of (pow im 6) in im 2.809 * [taylor]: Taking taylor expansion of im in im 2.841 * * * [progress]: simplifying candidates 2.842 * [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 (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))))) (log1p (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))))) (* (sqrt 2.0) (* (sqrt 2.0) (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt 2.0) (* (sqrt 2.0) (+ (* (sqrt 1) (hypot re im)) re))) (+ (log (sqrt (sqrt 2.0))) (+ (log (sqrt (sqrt 2.0))) (log (sqrt (+ (* (sqrt 1) (hypot re im)) re))))) (+ (log (sqrt (sqrt 2.0))) (log (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))))) (log (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))))) (exp (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))))) (* (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (* (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (+ (* (sqrt 1) (hypot re im)) re))))) (* (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (* (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))))) (* (cbrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))))) (cbrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))))) (cbrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))))) (* (* (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))))) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))))) (* (sqrt 2.0) (* (sqrt 2.0) (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))))) (sqrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (* (cbrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (cbrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (cbrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3))))) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re))))) (expm1 (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (log1p (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt 2.0) (+ (* (sqrt 1) (hypot re im)) re)) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt 2.0) (+ (* (sqrt 1) (hypot re im)) re)) (+ (log (sqrt (sqrt 2.0))) (log (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (log (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (exp (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (* (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (cbrt (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (cbrt (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))))) (cbrt (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (* (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt 2.0) (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (* (cbrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))))) (* (sqrt (sqrt 2.0)) (sqrt (* (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (cbrt (+ (* (sqrt 1) (hypot re im)) re))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt 1)) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) 1) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt (cbrt (sqrt 2.0))) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt (sqrt (cbrt 2.0))) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt (sqrt 2.0)) (sqrt (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3)))) (* (sqrt (sqrt 2.0)) (sqrt (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re)))) (expm1 (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (log1p (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (log (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (exp (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (cbrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (cbrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (* (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (* (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (cbrt (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (sqrt 1) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (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 (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re))) (sqrt (- (* (sqrt 1) (hypot re im)) re)) (/ 1 2) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (sqrt (+ (* (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 (- (+ (* +nan.0 (* (pow (sqrt 2.0) 2) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow re 2))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) re)) (- (* +nan.0 (sqrt 2.0))))))) 0 (- (+ (* +nan.0 (pow re 2)) (- (+ (* +nan.0 im) (- (* +nan.0 re)))))) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) 0 2.849 * * [simplify]: iteration 0 : 423 enodes (cost 1053 ) 2.857 * * [simplify]: iteration 1 : 1694 enodes (cost 954 ) 2.889 * * [simplify]: iteration 2 : 5002 enodes (cost 938 ) 2.893 * [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 1 (* (hypot re im) (hypot re im)) (* re (- re (* (sqrt 1) (hypot re im))))) (- (* (* (hypot re im) (hypot re im)) 1) (pow re 2)) (- (* (sqrt 1) (hypot re im)) re) (expm1 (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))))) (log1p (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))))) (* (fma (sqrt 1) (hypot re im) re) 2.0) (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (fma (sqrt 1) (hypot re im) re) 2.0) (+ (log (sqrt 2.0)) (log (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (+ (log (sqrt 2.0)) (log (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (+ (log (sqrt 2.0)) (log (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (pow (exp (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (pow (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) 3) (pow (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) 3) (* (cbrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))))) (cbrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))))) (cbrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))))) (pow (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) 3) (* (fma (sqrt 1) (hypot re im) re) 2.0) (sqrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))))) (sqrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))))) (sqrt 2.0) (* (cbrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (cbrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (cbrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (hypot (pow re 3/2) (pow (* (sqrt 1) (hypot re im)) 3/2)) (sqrt 2.0)) (* (sqrt 2.0) (sqrt (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re)))) (expm1 (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (log1p (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt 2.0) (fma (sqrt 1) (hypot re im) re)) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt 2.0) (fma (sqrt 1) (hypot re im) re)) (log (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (log (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (exp (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (pow (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) 3) (* (cbrt (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (cbrt (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))))) (cbrt (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (pow (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) 3) (* (sqrt 2.0) (fma (sqrt 1) (hypot re im) re)) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (* (cbrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))))) (* (fabs (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt 2.0)) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt (cbrt (sqrt 2.0))) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt (sqrt (cbrt 2.0))) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt (sqrt 2.0)) (hypot (pow re 3/2) (pow (* (sqrt 1) (hypot re im)) 3/2))) (* (sqrt (sqrt 2.0)) (sqrt (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re)))) (expm1 (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (log1p (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (log (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (exp (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (cbrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (cbrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (pow (sqrt (+ (* (sqrt 1) (hypot re im)) re)) 3) (fabs (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) 1 (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (hypot (pow re 3/2) (pow (* (sqrt 1) (hypot re im)) 3/2)) (sqrt (+ (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (- (* re re) (* (* (sqrt 1) (hypot re im)) re)))) (sqrt (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re))) (sqrt (- (* (sqrt 1) (hypot re im)) re)) 1/2 (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (+ re im) (* 2 re) 0 (* (* +nan.0 (sqrt 2.0)) (+ (- (* re re)) (- im re))) (fma (- +nan.0) (sqrt 2.0) (* +nan.0 (- (/ (sqrt 2.0) (pow re 2)) (/ (sqrt 2.0) re)))) 0 (fma (- +nan.0) (* (* 2.0 re) re) (* (* +nan.0 (sqrt 2.0)) (- im re))) (fma (- +nan.0) (/ (pow (sqrt 2.0) 3) (pow re 2)) (fma +nan.0 (/ 2.0 re) (- (* +nan.0 (sqrt 2.0))))) 0 (fma (- (* re re)) +nan.0 (* +nan.0 (- im re))) (+ (/ +nan.0 re) (- (fma +nan.0 1 (/ +nan.0 (pow re 2))))) 0 2.894 * * * [progress]: adding candidates to table 3.239 * [progress]: [Phase 3 of 3] Extracting. 3.239 * * [regime]: Finding splitpoints for: (# # # # # # #) 3.241 * * * [regime-changes]: Trying 2 branch expressions: (im re) 3.241 * * * * [regimes]: Trying to branch on im from (# # # # # # #) 3.283 * * * * [regimes]: Trying to branch on re from (# # # # # # #) 3.320 * * * [regime]: Found split indices: #