2.485 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.025 * * * [progress]: [2/2] Setting up program. 0.028 * [progress]: [Phase 2 of 3] Improving. 0.028 * [simplify]: Simplifying using # : (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.030 * * [simplify]: iteration 0 : 19 enodes (cost 8 ) 0.031 * * [simplify]: iteration 1 : 28 enodes (cost 8 ) 0.033 * * [simplify]: iteration 2 : 36 enodes (cost 8 ) 0.034 * * [simplify]: iteration 3 : 44 enodes (cost 8 ) 0.035 * * [simplify]: iteration 4 : 46 enodes (cost 8 ) 0.037 * * [simplify]: iteration 5 : 46 enodes (cost 8 ) 0.037 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.037 * * [progress]: iteration 1 / 4 0.037 * * * [progress]: picking best candidate 0.040 * * * * [pick]: Picked # 0.040 * * * [progress]: localizing error 0.050 * * * [progress]: generating rewritten candidates 0.050 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.053 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.075 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.109 * * * [progress]: generating series expansions 0.109 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.109 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.109 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.109 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.109 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.109 * [taylor]: Taking taylor expansion of re in im 0.109 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.109 * [taylor]: Taking taylor expansion of im in im 0.110 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.110 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.110 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.110 * [taylor]: Taking taylor expansion of re in re 0.110 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.110 * [taylor]: Taking taylor expansion of im in re 0.111 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.111 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.111 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.111 * [taylor]: Taking taylor expansion of re in re 0.111 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.111 * [taylor]: Taking taylor expansion of im in re 0.111 * [taylor]: Taking taylor expansion of im in im 0.111 * [taylor]: Taking taylor expansion of 0 in im 0.113 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.113 * [taylor]: Taking taylor expansion of 1/2 in im 0.113 * [taylor]: Taking taylor expansion of im in im 0.115 * [taylor]: Taking taylor expansion of 0 in im 0.116 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.116 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.116 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.116 * [taylor]: Taking taylor expansion of im in im 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.116 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.116 * [taylor]: Taking taylor expansion of re in im 0.118 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.118 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.118 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.118 * [taylor]: Taking taylor expansion of im in re 0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.119 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.119 * [taylor]: Taking taylor expansion of re in re 0.121 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.121 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.121 * [taylor]: Taking taylor expansion of im in re 0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.121 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.121 * [taylor]: Taking taylor expansion of re in re 0.123 * [taylor]: Taking taylor expansion of 1 in im 0.123 * [taylor]: Taking taylor expansion of 0 in im 0.125 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.125 * [taylor]: Taking taylor expansion of 1/2 in im 0.125 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.125 * [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 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.132 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.132 * [taylor]: Taking taylor expansion of im in re 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.132 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.132 * [taylor]: Taking taylor expansion of re in re 0.135 * [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 0.137 * [taylor]: Taking taylor expansion of 1 in im 0.137 * [taylor]: Taking taylor expansion of 0 in im 0.139 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.139 * [taylor]: Taking taylor expansion of 1/2 in im 0.139 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.139 * [taylor]: Taking taylor expansion of im in im 0.142 * [taylor]: Taking taylor expansion of 0 in im 0.143 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 0.143 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 0.143 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.143 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.143 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.143 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.144 * [taylor]: Taking taylor expansion of re in im 0.144 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.144 * [taylor]: Taking taylor expansion of im in im 0.144 * [taylor]: Taking taylor expansion of re in im 0.144 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.144 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.144 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.144 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.144 * [taylor]: Taking taylor expansion of re in re 0.144 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.144 * [taylor]: Taking taylor expansion of im 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))) 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 0.145 * [taylor]: Taking taylor expansion of im in re 0.146 * [taylor]: Taking taylor expansion of re in re 0.146 * [taylor]: Taking taylor expansion of im in im 0.146 * [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 0.150 * [taylor]: Taking taylor expansion of 0 in im 0.152 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.152 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 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 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.152 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.152 * [taylor]: Taking taylor expansion of re in im 0.154 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.154 * [taylor]: Taking taylor expansion of re in im 0.154 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.154 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.154 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.154 * [taylor]: Taking taylor expansion of im in re 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.154 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.155 * [taylor]: Taking taylor expansion of re in re 0.157 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.157 * [taylor]: Taking taylor expansion of re in re 0.157 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.157 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.157 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.157 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.157 * [taylor]: Taking taylor expansion of im in re 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.157 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.157 * [taylor]: Taking taylor expansion of re in re 0.159 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.159 * [taylor]: Taking taylor expansion of re in re 0.160 * [taylor]: Taking taylor expansion of 0 in im 0.161 * [taylor]: Taking taylor expansion of 0 in im 0.168 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.168 * [taylor]: Taking taylor expansion of 1/2 in im 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.168 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.168 * [taylor]: Taking taylor expansion of im in im 0.172 * [taylor]: Taking taylor expansion of 0 in im 0.174 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.174 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 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)))) in im 0.174 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.174 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.174 * [taylor]: Taking taylor expansion of im in im 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.175 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.175 * [taylor]: Taking taylor expansion of re in im 0.177 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 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)))) 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 0.179 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.179 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.179 * [taylor]: Taking taylor expansion of re in re 0.180 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.180 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.180 * [taylor]: Taking taylor expansion of im in re 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.180 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.180 * [taylor]: Taking taylor expansion of re in re 0.182 * [taylor]: Taking taylor expansion of 2 in im 0.183 * [taylor]: Taking taylor expansion of 0 in im 0.186 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.186 * [taylor]: Taking taylor expansion of 1/2 in im 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.186 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.186 * [taylor]: Taking taylor expansion of im in im 0.190 * [taylor]: Taking taylor expansion of 0 in im 0.191 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.191 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in (re im) around 0 0.192 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im 0.192 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.192 * [taylor]: Taking taylor expansion of 2.0 in im 0.192 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 0.192 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) 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 re in im 0.196 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.196 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.196 * [taylor]: Taking taylor expansion of 2.0 in re 0.197 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.197 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.197 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.197 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.197 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.197 * [taylor]: Taking taylor expansion of re in re 0.197 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.197 * [taylor]: Taking taylor expansion of im in re 0.198 * [taylor]: Taking taylor expansion of re in re 0.198 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.199 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.199 * [taylor]: Taking taylor expansion of 2.0 in re 0.199 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.199 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.199 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.199 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.199 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.199 * [taylor]: Taking taylor expansion of re in re 0.199 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.199 * [taylor]: Taking taylor expansion of im in re 0.200 * [taylor]: Taking taylor expansion of re in re 0.201 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.201 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.201 * [taylor]: Taking taylor expansion of 2.0 in im 0.202 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.202 * [taylor]: Taking taylor expansion of im in im 0.205 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 0.205 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.205 * [taylor]: Taking taylor expansion of 1/2 in im 0.205 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.205 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.205 * [taylor]: Taking taylor expansion of 2.0 in im 0.206 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.206 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.206 * [taylor]: Taking taylor expansion of im in im 0.226 * [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 0.226 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.226 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.226 * [taylor]: Taking taylor expansion of 2.0 in im 0.226 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.226 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.227 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.227 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.227 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.227 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.227 * [taylor]: Taking taylor expansion of im in im 0.227 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.227 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.227 * [taylor]: Taking taylor expansion of re in im 0.229 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.229 * [taylor]: Taking taylor expansion of re in im 0.231 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.231 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.231 * [taylor]: Taking taylor expansion of 2.0 in re 0.231 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.231 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.231 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.231 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.231 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.231 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.231 * [taylor]: Taking taylor expansion of im in re 0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.232 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.232 * [taylor]: Taking taylor expansion of re in re 0.234 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.234 * [taylor]: Taking taylor expansion of re in re 0.239 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.239 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.239 * [taylor]: Taking taylor expansion of 2.0 in re 0.239 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.239 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.239 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.239 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.239 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.239 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.240 * [taylor]: Taking taylor expansion of im in re 0.240 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.240 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.240 * [taylor]: Taking taylor expansion of re in re 0.242 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.242 * [taylor]: Taking taylor expansion of re in re 0.252 * [taylor]: Taking taylor expansion of 0 in im 0.253 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.253 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.253 * [taylor]: Taking taylor expansion of +nan.0 in im 0.253 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.253 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.253 * [taylor]: Taking taylor expansion of 2.0 in im 0.253 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.253 * [taylor]: Taking taylor expansion of im in im 0.260 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.260 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.260 * [taylor]: Taking taylor expansion of +nan.0 in im 0.260 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.260 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.260 * [taylor]: Taking taylor expansion of 2.0 in im 0.261 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.261 * [taylor]: Taking taylor expansion of im in im 0.276 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.277 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.277 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.277 * [taylor]: Taking taylor expansion of +nan.0 in im 0.277 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.277 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.277 * [taylor]: Taking taylor expansion of 2.0 in im 0.277 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.277 * [taylor]: Taking taylor expansion of im in im 0.278 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.278 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.278 * [taylor]: Taking taylor expansion of +nan.0 in im 0.278 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.278 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.278 * [taylor]: Taking taylor expansion of 2.0 in im 0.279 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.279 * [taylor]: Taking taylor expansion of im in im 0.300 * [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 0.301 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.301 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.301 * [taylor]: Taking taylor expansion of 2.0 in im 0.301 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.301 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.301 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.301 * [taylor]: Taking taylor expansion of re in im 0.301 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.301 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.301 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.301 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.301 * [taylor]: Taking taylor expansion of im in im 0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.302 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.302 * [taylor]: Taking taylor expansion of re in im 0.305 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.305 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.305 * [taylor]: Taking taylor expansion of 2.0 in re 0.306 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.306 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.306 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.306 * [taylor]: Taking taylor expansion of re in re 0.306 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.306 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.306 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.306 * [taylor]: Taking taylor expansion of im in re 0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.306 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.306 * [taylor]: Taking taylor expansion of re in re 0.310 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.310 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.310 * [taylor]: Taking taylor expansion of 2.0 in re 0.311 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.311 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.311 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.311 * [taylor]: Taking taylor expansion of re in re 0.311 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.311 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.311 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.311 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.311 * [taylor]: Taking taylor expansion of im in re 0.311 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.311 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.311 * [taylor]: Taking taylor expansion of re in re 0.315 * [taylor]: Taking taylor expansion of 0 in im 0.316 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.316 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.316 * [taylor]: Taking taylor expansion of +nan.0 in im 0.316 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.316 * [taylor]: Taking taylor expansion of 2.0 in im 0.321 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.321 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.321 * [taylor]: Taking taylor expansion of +nan.0 in im 0.322 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.322 * [taylor]: Taking taylor expansion of 2.0 in im 0.334 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.335 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.335 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.335 * [taylor]: Taking taylor expansion of +nan.0 in im 0.335 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.335 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.335 * [taylor]: Taking taylor expansion of 2.0 in im 0.335 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.335 * [taylor]: Taking taylor expansion of im in im 0.336 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.336 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.336 * [taylor]: Taking taylor expansion of +nan.0 in im 0.336 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.336 * [taylor]: Taking taylor expansion of 2.0 in im 0.347 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.347 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.347 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.347 * [taylor]: Taking taylor expansion of +nan.0 in im 0.347 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.347 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.347 * [taylor]: Taking taylor expansion of 2.0 in im 0.347 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.348 * [taylor]: Taking taylor expansion of im in im 0.348 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.348 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.348 * [taylor]: Taking taylor expansion of +nan.0 in im 0.348 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.348 * [taylor]: Taking taylor expansion of 2.0 in im 0.361 * * * [progress]: simplifying candidates 0.362 * [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)))) (fma (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt 1) (sqrt (+ (* re re) (* im im))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt 1) (sqrt (+ (* re re) (* im im))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt 1) (sqrt (+ (* re re) (* im im))) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma 1 (sqrt (+ (* re re) (* im im))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma 1 (sqrt (+ (* re re) (* im im))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma 1 (sqrt (+ (* re re) (* im im))) (- (* re 1))) (fma (- re) 1 (* re 1)) (expm1 (- (sqrt (+ (* re re) (* im im))) re)) (log1p (- (sqrt (+ (* re re) (* im im))) re)) (- re) (- re) (- re) (- re) (- re) (- 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))) (- re) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (- re) (expm1 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (log1p (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (log (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (* (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) im re (* -1 re) (- im re) 0 (* -2 re) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) (* im re)))))))) 0 (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0.367 * * [simplify]: iteration 0 : 314 enodes (cost 760 ) 0.373 * * [simplify]: iteration 1 : 1192 enodes (cost 522 ) 0.401 * * [simplify]: iteration 2 : 5001 enodes (cost 473 ) 0.404 * [simplify]: Simplified to: (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (pow (exp 1) (hypot re im)) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (hypot re im) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (hypot re im) (hypot (pow im 3) (pow re 3)) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) 0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) 0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) 0 (fma (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))) (* -1 re)) 0 (fma (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))) (* -1 re)) 0 (fma (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))) (* -1 re)) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (expm1 (- (sqrt (+ (* re re) (* im im))) re)) (log1p (- (sqrt (+ (* re re) (* im im))) re)) (* -1 re) (* -1 re) (* -1 re) (* -1 re) (* -1 re) (* -1 re) (exp (- (hypot re im) re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (hypot re im) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (pow (- (hypot re im) re) 3) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (+ (- (pow re 3)) (pow (hypot re im) 3)) (fma re (+ re (hypot re im)) (fma re re (* im im))) (* -1 re) (+ (pow im 2) 0) (+ re (hypot re im)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (hypot re im) re) (* -1 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)))) (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3) (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) im re (* -1 re) (- im re) 0 (* -2 re) (* (* +nan.0 (sqrt 2.0)) (+ (- (* im im)) (- im (* im re)))) 0 (fma (- (sqrt 2.0)) +nan.0 (* +nan.0 (- (/ (sqrt 2.0) (pow re 2)) (/ (sqrt 2.0) re)))) 0.405 * * * [progress]: adding candidates to table 0.596 * * [progress]: iteration 2 / 4 0.596 * * * [progress]: picking best candidate 0.606 * * * * [pick]: Picked # 0.606 * * * [progress]: localizing error 0.615 * * * [progress]: generating rewritten candidates 0.615 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 2 1) 0.621 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.632 * * * [progress]: generating series expansions 0.632 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 2 1) 0.632 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 0.632 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 0.632 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.634 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.634 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.634 * [taylor]: Taking taylor expansion of (* re re) in im 0.634 * [taylor]: Taking taylor expansion of re in im 0.634 * [taylor]: Taking taylor expansion of re in im 0.634 * [taylor]: Taking taylor expansion of (* im im) in im 0.634 * [taylor]: Taking taylor expansion of im in im 0.634 * [taylor]: Taking taylor expansion of im in im 0.635 * [taylor]: Taking taylor expansion of re in im 0.635 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.635 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.636 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.636 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.636 * [taylor]: Taking taylor expansion of (* re re) in re 0.636 * [taylor]: Taking taylor expansion of re in re 0.636 * [taylor]: Taking taylor expansion of re in re 0.636 * [taylor]: Taking taylor expansion of (* im im) in re 0.636 * [taylor]: Taking taylor expansion of im in re 0.636 * [taylor]: Taking taylor expansion of im in re 0.637 * [taylor]: Taking taylor expansion of re in re 0.637 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.637 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.637 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.637 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.637 * [taylor]: Taking taylor expansion of (* re re) in re 0.637 * [taylor]: Taking taylor expansion of re in re 0.637 * [taylor]: Taking taylor expansion of re in re 0.637 * [taylor]: Taking taylor expansion of (* im im) in re 0.637 * [taylor]: Taking taylor expansion of im in re 0.637 * [taylor]: Taking taylor expansion of im in re 0.638 * [taylor]: Taking taylor expansion of re in re 0.638 * [taylor]: Taking taylor expansion of im in im 0.639 * [taylor]: Taking taylor expansion of -1 in im 0.641 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.641 * [taylor]: Taking taylor expansion of 1/2 in im 0.641 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.641 * [taylor]: Taking taylor expansion of im in im 0.643 * [taylor]: Taking taylor expansion of 0 in im 0.645 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 0.645 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.645 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.645 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.645 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.645 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.645 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.645 * [taylor]: Taking taylor expansion of re in im 0.645 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.645 * [taylor]: Taking taylor expansion of re in im 0.645 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.645 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.645 * [taylor]: Taking taylor expansion of im in im 0.645 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.645 * [taylor]: Taking taylor expansion of im in im 0.648 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.648 * [taylor]: Taking taylor expansion of re in im 0.648 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.648 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.648 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.648 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.648 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.648 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.648 * [taylor]: Taking taylor expansion of re in re 0.648 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.648 * [taylor]: Taking taylor expansion of re in re 0.649 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.649 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.649 * [taylor]: Taking taylor expansion of im in re 0.649 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.649 * [taylor]: Taking taylor expansion of im in re 0.651 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.651 * [taylor]: Taking taylor expansion of re in re 0.651 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.651 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.651 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.652 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.652 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.652 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.652 * [taylor]: Taking taylor expansion of re in re 0.652 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.652 * [taylor]: Taking taylor expansion of re in re 0.652 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.652 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.652 * [taylor]: Taking taylor expansion of im in re 0.652 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.652 * [taylor]: Taking taylor expansion of im in re 0.655 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.655 * [taylor]: Taking taylor expansion of re in re 0.655 * [taylor]: Taking taylor expansion of 0 in im 0.656 * [taylor]: Taking taylor expansion of 0 in im 0.659 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.659 * [taylor]: Taking taylor expansion of 1/2 in im 0.659 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.659 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.659 * [taylor]: Taking taylor expansion of im in im 0.664 * [taylor]: Taking taylor expansion of 0 in im 0.666 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 0.666 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 0.666 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.666 * [taylor]: Taking taylor expansion of re in im 0.666 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.666 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.666 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.666 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.666 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.666 * [taylor]: Taking taylor expansion of -1 in im 0.666 * [taylor]: Taking taylor expansion of re in im 0.666 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.666 * [taylor]: Taking taylor expansion of -1 in im 0.666 * [taylor]: Taking taylor expansion of re in im 0.666 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.666 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.666 * [taylor]: Taking taylor expansion of -1 in im 0.666 * [taylor]: Taking taylor expansion of im in im 0.666 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.666 * [taylor]: Taking taylor expansion of -1 in im 0.666 * [taylor]: Taking taylor expansion of im in im 0.669 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.669 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.669 * [taylor]: Taking taylor expansion of re in re 0.669 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.670 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.670 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.670 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.670 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.670 * [taylor]: Taking taylor expansion of -1 in re 0.670 * [taylor]: Taking taylor expansion of re in re 0.670 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.670 * [taylor]: Taking taylor expansion of -1 in re 0.670 * [taylor]: Taking taylor expansion of re in re 0.670 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.670 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.670 * [taylor]: Taking taylor expansion of -1 in re 0.670 * [taylor]: Taking taylor expansion of im in re 0.670 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.670 * [taylor]: Taking taylor expansion of -1 in re 0.670 * [taylor]: Taking taylor expansion of im in re 0.673 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.673 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.673 * [taylor]: Taking taylor expansion of re in re 0.673 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.673 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.673 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.673 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.673 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.673 * [taylor]: Taking taylor expansion of -1 in re 0.673 * [taylor]: Taking taylor expansion of re in re 0.674 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.674 * [taylor]: Taking taylor expansion of -1 in re 0.674 * [taylor]: Taking taylor expansion of re in re 0.674 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.674 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.674 * [taylor]: Taking taylor expansion of -1 in re 0.674 * [taylor]: Taking taylor expansion of im in re 0.674 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.674 * [taylor]: Taking taylor expansion of -1 in re 0.674 * [taylor]: Taking taylor expansion of im in re 0.677 * [taylor]: Taking taylor expansion of 2 in im 0.677 * [taylor]: Taking taylor expansion of 0 in im 0.680 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.680 * [taylor]: Taking taylor expansion of 1/2 in im 0.680 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.680 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.681 * [taylor]: Taking taylor expansion of im in im 0.685 * [taylor]: Taking taylor expansion of 0 in im 0.687 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.687 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in (re im) around 0 0.687 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in im 0.687 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.687 * [taylor]: Taking taylor expansion of 2.0 in im 0.688 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in im 0.688 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 0.688 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.688 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.688 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.688 * [taylor]: Taking taylor expansion of (* re re) in im 0.688 * [taylor]: Taking taylor expansion of re in im 0.688 * [taylor]: Taking taylor expansion of re in im 0.688 * [taylor]: Taking taylor expansion of (* im im) in im 0.688 * [taylor]: Taking taylor expansion of im in im 0.688 * [taylor]: Taking taylor expansion of im in im 0.689 * [taylor]: Taking taylor expansion of re in im 0.693 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 0.693 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.693 * [taylor]: Taking taylor expansion of 2.0 in re 0.694 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 0.694 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.694 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.694 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.694 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.694 * [taylor]: Taking taylor expansion of (* re re) in re 0.694 * [taylor]: Taking taylor expansion of re in re 0.694 * [taylor]: Taking taylor expansion of re in re 0.694 * [taylor]: Taking taylor expansion of (* im im) in re 0.694 * [taylor]: Taking taylor expansion of im in re 0.694 * [taylor]: Taking taylor expansion of im in re 0.695 * [taylor]: Taking taylor expansion of re in re 0.696 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 0.696 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.696 * [taylor]: Taking taylor expansion of 2.0 in re 0.697 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 0.697 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.697 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.697 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.697 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.697 * [taylor]: Taking taylor expansion of (* re re) in re 0.697 * [taylor]: Taking taylor expansion of re in re 0.697 * [taylor]: Taking taylor expansion of re in re 0.697 * [taylor]: Taking taylor expansion of (* im im) in re 0.697 * [taylor]: Taking taylor expansion of im in re 0.697 * [taylor]: Taking taylor expansion of im in re 0.698 * [taylor]: Taking taylor expansion of re in re 0.699 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.699 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.699 * [taylor]: Taking taylor expansion of 2.0 in im 0.704 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.704 * [taylor]: Taking taylor expansion of im in im 0.708 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 0.708 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.708 * [taylor]: Taking taylor expansion of 1/2 in im 0.708 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.708 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.708 * [taylor]: Taking taylor expansion of 2.0 in im 0.709 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.709 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.709 * [taylor]: Taking taylor expansion of im in im 0.728 * [approximate]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 0.728 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im 0.728 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 0.728 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.728 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.728 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.728 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.728 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.728 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.728 * [taylor]: Taking taylor expansion of re in im 0.729 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.729 * [taylor]: Taking taylor expansion of re in im 0.729 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.729 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.729 * [taylor]: Taking taylor expansion of im in im 0.729 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.729 * [taylor]: Taking taylor expansion of im in im 0.731 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.732 * [taylor]: Taking taylor expansion of re in im 0.733 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.733 * [taylor]: Taking taylor expansion of 2.0 in im 0.734 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 0.734 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 0.734 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.734 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.734 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.734 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.734 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.734 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.734 * [taylor]: Taking taylor expansion of re in re 0.734 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.734 * [taylor]: Taking taylor expansion of re in re 0.734 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.734 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.734 * [taylor]: Taking taylor expansion of im in re 0.734 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.735 * [taylor]: Taking taylor expansion of im in re 0.737 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.737 * [taylor]: Taking taylor expansion of re in re 0.742 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.742 * [taylor]: Taking taylor expansion of 2.0 in re 0.743 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 0.743 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 0.743 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.743 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.743 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.743 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.743 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.743 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.743 * [taylor]: Taking taylor expansion of re in re 0.743 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.743 * [taylor]: Taking taylor expansion of re in re 0.744 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.744 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.744 * [taylor]: Taking taylor expansion of im in re 0.744 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.744 * [taylor]: Taking taylor expansion of im in re 0.746 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.746 * [taylor]: Taking taylor expansion of re in re 0.751 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.751 * [taylor]: Taking taylor expansion of 2.0 in re 0.752 * [taylor]: Taking taylor expansion of 0 in im 0.753 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.753 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.753 * [taylor]: Taking taylor expansion of +nan.0 in im 0.753 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.753 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.753 * [taylor]: Taking taylor expansion of 2.0 in im 0.754 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.754 * [taylor]: Taking taylor expansion of im in im 0.761 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.762 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.762 * [taylor]: Taking taylor expansion of +nan.0 in im 0.762 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.762 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.762 * [taylor]: Taking taylor expansion of 2.0 in im 0.762 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.762 * [taylor]: Taking taylor expansion of im in im 0.778 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.778 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.778 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.778 * [taylor]: Taking taylor expansion of +nan.0 in im 0.778 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.778 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.778 * [taylor]: Taking taylor expansion of 2.0 in im 0.779 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.779 * [taylor]: Taking taylor expansion of im in im 0.780 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.780 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.780 * [taylor]: Taking taylor expansion of +nan.0 in im 0.780 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.780 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.780 * [taylor]: Taking taylor expansion of 2.0 in im 0.780 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.780 * [taylor]: Taking taylor expansion of im in im 0.808 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in (re im) around 0 0.808 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in im 0.808 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.808 * [taylor]: Taking taylor expansion of 2.0 in im 0.808 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in im 0.808 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 0.808 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.808 * [taylor]: Taking taylor expansion of re in im 0.808 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.809 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.809 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.809 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.809 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.809 * [taylor]: Taking taylor expansion of -1 in im 0.809 * [taylor]: Taking taylor expansion of re in im 0.809 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.809 * [taylor]: Taking taylor expansion of -1 in im 0.809 * [taylor]: Taking taylor expansion of re in im 0.809 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.809 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.809 * [taylor]: Taking taylor expansion of -1 in im 0.809 * [taylor]: Taking taylor expansion of im in im 0.809 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.809 * [taylor]: Taking taylor expansion of -1 in im 0.809 * [taylor]: Taking taylor expansion of im in im 0.813 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 0.813 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.813 * [taylor]: Taking taylor expansion of 2.0 in re 0.814 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 0.814 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.814 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.814 * [taylor]: Taking taylor expansion of re in re 0.814 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.814 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.814 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.814 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.814 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.814 * [taylor]: Taking taylor expansion of -1 in re 0.814 * [taylor]: Taking taylor expansion of re in re 0.815 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.815 * [taylor]: Taking taylor expansion of -1 in re 0.815 * [taylor]: Taking taylor expansion of re in re 0.815 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.815 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.815 * [taylor]: Taking taylor expansion of -1 in re 0.815 * [taylor]: Taking taylor expansion of im in re 0.815 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.815 * [taylor]: Taking taylor expansion of -1 in re 0.815 * [taylor]: Taking taylor expansion of im in re 0.819 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 0.819 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.819 * [taylor]: Taking taylor expansion of 2.0 in re 0.819 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 0.820 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.820 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.820 * [taylor]: Taking taylor expansion of re in re 0.820 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.820 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.820 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.820 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.820 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.820 * [taylor]: Taking taylor expansion of -1 in re 0.820 * [taylor]: Taking taylor expansion of re in re 0.820 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.820 * [taylor]: Taking taylor expansion of -1 in re 0.820 * [taylor]: Taking taylor expansion of re in re 0.821 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.821 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.821 * [taylor]: Taking taylor expansion of -1 in re 0.821 * [taylor]: Taking taylor expansion of im in re 0.821 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.821 * [taylor]: Taking taylor expansion of -1 in re 0.821 * [taylor]: Taking taylor expansion of im in re 0.825 * [taylor]: Taking taylor expansion of 0 in im 0.826 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.826 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.826 * [taylor]: Taking taylor expansion of +nan.0 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 0.831 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.831 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.831 * [taylor]: Taking taylor expansion of +nan.0 in im 0.831 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.831 * [taylor]: Taking taylor expansion of 2.0 in im 0.840 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.840 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.840 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.840 * [taylor]: Taking taylor expansion of +nan.0 in im 0.840 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.840 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.840 * [taylor]: Taking taylor expansion of 2.0 in im 0.841 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.841 * [taylor]: Taking taylor expansion of im in im 0.842 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.842 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.842 * [taylor]: Taking taylor expansion of +nan.0 in im 0.842 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.842 * [taylor]: Taking taylor expansion of 2.0 in im 0.853 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.853 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.853 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.853 * [taylor]: Taking taylor expansion of +nan.0 in im 0.853 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.853 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.853 * [taylor]: Taking taylor expansion of 2.0 in im 0.854 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.854 * [taylor]: Taking taylor expansion of im in im 0.855 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.855 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.855 * [taylor]: Taking taylor expansion of +nan.0 in im 0.855 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.855 * [taylor]: Taking taylor expansion of 2.0 in im 0.873 * * * [progress]: simplifying candidates 0.873 * [simplify]: Simplifying using # : (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma 1 (hypot re im) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma 1 (hypot re im) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma 1 (hypot re im) (- (* re 1))) (fma (- re) 1 (* re 1)) (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (- re) (- re) (/ (exp (hypot re im)) (exp re)) (log (- (hypot re im) re)) (exp (- (hypot re im) re)) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (- (pow (hypot re im) 3) (pow re 3)) (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re))) (- re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- (hypot re im) re) (- re) (expm1 (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (log1p (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (log (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (exp (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (* (cbrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (cbrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0))))) (cbrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (* (* (sqrt (* 2.0 (+ (- (hypot re im) re) 0))) (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (sqrt 2.0) (sqrt (+ (- (hypot re im) re) 0)) (sqrt (* 2.0 (+ (pow (- (hypot re im) re) 3) (pow 0 3)))) (sqrt (+ (* (- (hypot re im) re) (- (hypot re im) re)) (- (* 0 0) (* (- (hypot re im) re) 0)))) (sqrt (* 2.0 (- (* (- (hypot re im) re) (- (hypot re im) re)) (* 0 0)))) (sqrt (- (- (hypot re im) re) 0)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (- im re) 0 (* -2 re) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) (* im re)))))))) 0 (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0.878 * * [simplify]: iteration 0 : 273 enodes (cost 321 ) 0.883 * * [simplify]: iteration 1 : 1082 enodes (cost 232 ) 0.916 * * [simplify]: iteration 2 : 5001 enodes (cost 228 ) 0.917 * [simplify]: Simplified to: (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (fma (- re) 1 re) (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (fma (- re) 1 re) (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (- re) (- re) (exp (- (hypot re im) re)) (log (- (hypot re im) re)) (exp (- (hypot re im) re)) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (pow (- (hypot re im) re) 3) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (- (pow (hypot re im) 3) (pow re 3)) (fma (hypot re im) (hypot re im) (fma re re (* (hypot re im) re))) (- re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- (hypot re im) re) (- re) (expm1 (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (log1p (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (log (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (exp (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (* (cbrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (cbrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0))))) (cbrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (pow (sqrt (* 2.0 (+ (- (hypot re im) re) 0))) 3) (sqrt 2.0) (sqrt (- (hypot re im) re)) (sqrt (* 2.0 (+ (pow (- (hypot re im) re) 3) 0))) (fabs (- (hypot re im) re)) (sqrt (* 2.0 (- (* (- (hypot re im) re) (- (hypot re im) re)) 0))) (sqrt (- (hypot re im) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (- im re) 0 (* -2 re) (* (* +nan.0 (sqrt 2.0)) (+ (- (pow im 2)) (- im (* im re)))) 0 (fma (- (sqrt 2.0)) +nan.0 (* +nan.0 (- (/ (sqrt 2.0) (pow re 2)) (/ (sqrt 2.0) re)))) 0.917 * * * [progress]: adding candidates to table 1.032 * * [progress]: iteration 3 / 4 1.032 * * * [progress]: picking best candidate 1.043 * * * * [pick]: Picked # 1.043 * * * [progress]: localizing error 1.054 * * * [progress]: generating rewritten candidates 1.054 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 2 1) 1.055 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 1.059 * * * [progress]: generating series expansions 1.059 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 2 1) 1.059 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in (re im) around 0 1.059 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in im 1.059 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 1.059 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in im 1.059 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 1.059 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.059 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.059 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.059 * [taylor]: Taking taylor expansion of (* re re) in im 1.059 * [taylor]: Taking taylor expansion of re in im 1.059 * [taylor]: Taking taylor expansion of re in im 1.059 * [taylor]: Taking taylor expansion of (* im im) in im 1.059 * [taylor]: Taking taylor expansion of im in im 1.059 * [taylor]: Taking taylor expansion of im in im 1.061 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 1.061 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.061 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.061 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.061 * [taylor]: Taking taylor expansion of (* re re) in im 1.061 * [taylor]: Taking taylor expansion of re in im 1.061 * [taylor]: Taking taylor expansion of re in im 1.061 * [taylor]: Taking taylor expansion of (* im im) in im 1.061 * [taylor]: Taking taylor expansion of im in im 1.061 * [taylor]: Taking taylor expansion of im in im 1.062 * [taylor]: Taking taylor expansion of (- re) in im 1.062 * [taylor]: Taking taylor expansion of re in im 1.062 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re 1.062 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 1.062 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 1.062 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.062 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.062 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.062 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.062 * [taylor]: Taking taylor expansion of (* re re) in re 1.062 * [taylor]: Taking taylor expansion of re in re 1.063 * [taylor]: Taking taylor expansion of re in re 1.063 * [taylor]: Taking taylor expansion of (* im im) in re 1.063 * [taylor]: Taking taylor expansion of im in re 1.063 * [taylor]: Taking taylor expansion of im in re 1.064 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.064 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.064 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.064 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.064 * [taylor]: Taking taylor expansion of (* re re) in re 1.064 * [taylor]: Taking taylor expansion of re in re 1.064 * [taylor]: Taking taylor expansion of re in re 1.064 * [taylor]: Taking taylor expansion of (* im im) in re 1.064 * [taylor]: Taking taylor expansion of im in re 1.064 * [taylor]: Taking taylor expansion of im in re 1.065 * [taylor]: Taking taylor expansion of (- re) in re 1.065 * [taylor]: Taking taylor expansion of re in re 1.065 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re 1.065 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 1.065 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 1.065 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.065 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.065 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.065 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.065 * [taylor]: Taking taylor expansion of (* re re) in re 1.065 * [taylor]: Taking taylor expansion of re in re 1.065 * [taylor]: Taking taylor expansion of re in re 1.065 * [taylor]: Taking taylor expansion of (* im im) in re 1.065 * [taylor]: Taking taylor expansion of im in re 1.065 * [taylor]: Taking taylor expansion of im in re 1.067 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.067 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.067 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.067 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.067 * [taylor]: Taking taylor expansion of (* re re) in re 1.067 * [taylor]: Taking taylor expansion of re in re 1.067 * [taylor]: Taking taylor expansion of re in re 1.067 * [taylor]: Taking taylor expansion of (* im im) in re 1.067 * [taylor]: Taking taylor expansion of im in re 1.067 * [taylor]: Taking taylor expansion of im in re 1.068 * [taylor]: Taking taylor expansion of (- re) in re 1.068 * [taylor]: Taking taylor expansion of re in re 1.068 * [taylor]: Taking taylor expansion of im in im 1.069 * [taylor]: Taking taylor expansion of -1 in im 1.073 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.073 * [taylor]: Taking taylor expansion of 1/2 in im 1.073 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.073 * [taylor]: Taking taylor expansion of im in im 1.078 * [taylor]: Taking taylor expansion of 0 in im 1.080 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in (re im) around 0 1.080 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in im 1.080 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 1.080 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in im 1.080 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 1.080 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.080 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.080 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.080 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.080 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.080 * [taylor]: Taking taylor expansion of re in im 1.080 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.080 * [taylor]: Taking taylor expansion of re in im 1.080 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.080 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.080 * [taylor]: Taking taylor expansion of im in im 1.080 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.080 * [taylor]: Taking taylor expansion of im in im 1.084 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 1.084 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.084 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.084 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.084 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.084 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.084 * [taylor]: Taking taylor expansion of re in im 1.084 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.084 * [taylor]: Taking taylor expansion of re in im 1.084 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.084 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.084 * [taylor]: Taking taylor expansion of im in im 1.085 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.085 * [taylor]: Taking taylor expansion of im in im 1.088 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in im 1.088 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.088 * [taylor]: Taking taylor expansion of re in im 1.088 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re 1.088 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 1.088 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 1.088 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.088 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.088 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.089 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.089 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.089 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.089 * [taylor]: Taking taylor expansion of re in re 1.089 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.089 * [taylor]: Taking taylor expansion of re in re 1.089 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.089 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.089 * [taylor]: Taking taylor expansion of im in re 1.089 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.089 * [taylor]: Taking taylor expansion of im in re 1.093 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.093 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.093 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.093 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.093 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.093 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.093 * [taylor]: Taking taylor expansion of re in re 1.093 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.093 * [taylor]: Taking taylor expansion of re in re 1.093 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.093 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.093 * [taylor]: Taking taylor expansion of im in re 1.093 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.093 * [taylor]: Taking taylor expansion of im in re 1.097 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 1.097 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.097 * [taylor]: Taking taylor expansion of re in re 1.097 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re 1.097 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 1.097 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 1.097 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.097 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.097 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.097 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.097 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.097 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.097 * [taylor]: Taking taylor expansion of re in re 1.098 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.098 * [taylor]: Taking taylor expansion of re in re 1.098 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.098 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.098 * [taylor]: Taking taylor expansion of im in re 1.098 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.098 * [taylor]: Taking taylor expansion of im in re 1.106 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.106 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.106 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.106 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.106 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.106 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.106 * [taylor]: Taking taylor expansion of re in re 1.106 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.106 * [taylor]: Taking taylor expansion of re in re 1.107 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.107 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.107 * [taylor]: Taking taylor expansion of im in re 1.107 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.107 * [taylor]: Taking taylor expansion of im in re 1.110 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 1.110 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.110 * [taylor]: Taking taylor expansion of re in re 1.111 * [taylor]: Taking taylor expansion of 0 in im 1.112 * [taylor]: Taking taylor expansion of -1 in im 1.118 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.118 * [taylor]: Taking taylor expansion of +nan.0 in im 1.127 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.127 * [taylor]: Taking taylor expansion of +nan.0 in im 1.136 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 1.136 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 1.136 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 1.136 * [taylor]: Taking taylor expansion of +nan.0 in im 1.136 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.136 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.136 * [taylor]: Taking taylor expansion of im in im 1.136 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.136 * [taylor]: Taking taylor expansion of +nan.0 in im 1.139 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in (re im) around 0 1.139 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in im 1.139 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 1.139 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in im 1.139 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 1.139 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.139 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.139 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.139 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.139 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.139 * [taylor]: Taking taylor expansion of -1 in im 1.139 * [taylor]: Taking taylor expansion of re in im 1.139 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.139 * [taylor]: Taking taylor expansion of -1 in im 1.139 * [taylor]: Taking taylor expansion of re in im 1.139 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.139 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.139 * [taylor]: Taking taylor expansion of -1 in im 1.139 * [taylor]: Taking taylor expansion of im in im 1.140 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.140 * [taylor]: Taking taylor expansion of -1 in im 1.140 * [taylor]: Taking taylor expansion of im in im 1.143 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 1.143 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.144 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.144 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.144 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.144 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.144 * [taylor]: Taking taylor expansion of -1 in im 1.144 * [taylor]: Taking taylor expansion of re in im 1.144 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.144 * [taylor]: Taking taylor expansion of -1 in im 1.144 * [taylor]: Taking taylor expansion of re in im 1.144 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.144 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.144 * [taylor]: Taking taylor expansion of -1 in im 1.144 * [taylor]: Taking taylor expansion of im in im 1.144 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.144 * [taylor]: Taking taylor expansion of -1 in im 1.144 * [taylor]: Taking taylor expansion of im in im 1.148 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.148 * [taylor]: Taking taylor expansion of re in im 1.148 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re 1.148 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 1.148 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 1.148 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.148 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.148 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.148 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.148 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.148 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.148 * [taylor]: Taking taylor expansion of -1 in re 1.148 * [taylor]: Taking taylor expansion of re in re 1.149 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.149 * [taylor]: Taking taylor expansion of -1 in re 1.149 * [taylor]: Taking taylor expansion of re in re 1.149 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.149 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.149 * [taylor]: Taking taylor expansion of -1 in re 1.149 * [taylor]: Taking taylor expansion of im in re 1.149 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.149 * [taylor]: Taking taylor expansion of -1 in re 1.149 * [taylor]: Taking taylor expansion of im in re 1.153 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.153 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.153 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.153 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.153 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.153 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.153 * [taylor]: Taking taylor expansion of -1 in re 1.153 * [taylor]: Taking taylor expansion of re in re 1.153 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.153 * [taylor]: Taking taylor expansion of -1 in re 1.153 * [taylor]: Taking taylor expansion of re in re 1.153 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.153 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.153 * [taylor]: Taking taylor expansion of -1 in re 1.153 * [taylor]: Taking taylor expansion of im in re 1.154 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.154 * [taylor]: Taking taylor expansion of -1 in re 1.154 * [taylor]: Taking taylor expansion of im in re 1.157 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.157 * [taylor]: Taking taylor expansion of re in re 1.157 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re 1.157 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 1.157 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 1.158 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.158 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.158 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.158 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.158 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.158 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.158 * [taylor]: Taking taylor expansion of -1 in re 1.158 * [taylor]: Taking taylor expansion of re in re 1.158 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.158 * [taylor]: Taking taylor expansion of -1 in re 1.158 * [taylor]: Taking taylor expansion of re in re 1.158 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.158 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.158 * [taylor]: Taking taylor expansion of -1 in re 1.158 * [taylor]: Taking taylor expansion of im in re 1.158 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.158 * [taylor]: Taking taylor expansion of -1 in re 1.158 * [taylor]: Taking taylor expansion of im in re 1.162 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.162 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.162 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.162 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.162 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.162 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.162 * [taylor]: Taking taylor expansion of -1 in re 1.162 * [taylor]: Taking taylor expansion of re in re 1.163 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.163 * [taylor]: Taking taylor expansion of -1 in re 1.163 * [taylor]: Taking taylor expansion of re in re 1.163 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.163 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.163 * [taylor]: Taking taylor expansion of -1 in re 1.163 * [taylor]: Taking taylor expansion of im in re 1.163 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.163 * [taylor]: Taking taylor expansion of -1 in re 1.163 * [taylor]: Taking taylor expansion of im in re 1.166 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.166 * [taylor]: Taking taylor expansion of re in re 1.167 * [taylor]: Taking taylor expansion of 0 in im 1.168 * [taylor]: Taking taylor expansion of 1 in im 1.174 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.174 * [taylor]: Taking taylor expansion of +nan.0 in im 1.188 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.188 * [taylor]: Taking taylor expansion of +nan.0 in im 1.197 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 1.197 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 1.197 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 1.197 * [taylor]: Taking taylor expansion of +nan.0 in im 1.197 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.197 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.197 * [taylor]: Taking taylor expansion of im in im 1.197 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.197 * [taylor]: Taking taylor expansion of +nan.0 in im 1.200 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 1.200 * [approximate]: Taking taylor expansion of (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt 2.0)) in (re im) around 0 1.200 * [taylor]: Taking taylor expansion of (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt 2.0)) in im 1.200 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) in im 1.200 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in im 1.200 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 1.200 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in im 1.200 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 1.200 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.200 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.200 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.200 * [taylor]: Taking taylor expansion of (* re re) in im 1.200 * [taylor]: Taking taylor expansion of re in im 1.200 * [taylor]: Taking taylor expansion of re in im 1.200 * [taylor]: Taking taylor expansion of (* im im) in im 1.201 * [taylor]: Taking taylor expansion of im in im 1.201 * [taylor]: Taking taylor expansion of im in im 1.202 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 1.202 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.202 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.202 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.202 * [taylor]: Taking taylor expansion of (* re re) in im 1.202 * [taylor]: Taking taylor expansion of re in im 1.202 * [taylor]: Taking taylor expansion of re in im 1.202 * [taylor]: Taking taylor expansion of (* im im) in im 1.202 * [taylor]: Taking taylor expansion of im in im 1.202 * [taylor]: Taking taylor expansion of im in im 1.203 * [taylor]: Taking taylor expansion of (- re) in im 1.203 * [taylor]: Taking taylor expansion of re in im 1.212 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.212 * [taylor]: Taking taylor expansion of 2.0 in im 1.213 * [taylor]: Taking taylor expansion of (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt 2.0)) in re 1.213 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) in re 1.213 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re 1.213 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 1.213 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 1.213 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.213 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.213 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.213 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.213 * [taylor]: Taking taylor expansion of (* re re) in re 1.213 * [taylor]: Taking taylor expansion of re in re 1.213 * [taylor]: Taking taylor expansion of re in re 1.213 * [taylor]: Taking taylor expansion of (* im im) in re 1.213 * [taylor]: Taking taylor expansion of im in re 1.213 * [taylor]: Taking taylor expansion of im in re 1.214 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.214 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.214 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.214 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.214 * [taylor]: Taking taylor expansion of (* re re) in re 1.214 * [taylor]: Taking taylor expansion of re in re 1.214 * [taylor]: Taking taylor expansion of re in re 1.214 * [taylor]: Taking taylor expansion of (* im im) in re 1.214 * [taylor]: Taking taylor expansion of im in re 1.215 * [taylor]: Taking taylor expansion of im in re 1.216 * [taylor]: Taking taylor expansion of (- re) in re 1.216 * [taylor]: Taking taylor expansion of re in re 1.217 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.217 * [taylor]: Taking taylor expansion of 2.0 in re 1.217 * [taylor]: Taking taylor expansion of (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt 2.0)) in re 1.217 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) in re 1.217 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re 1.218 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 1.218 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 1.218 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.218 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.218 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.218 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.218 * [taylor]: Taking taylor expansion of (* re re) in re 1.218 * [taylor]: Taking taylor expansion of re in re 1.218 * [taylor]: Taking taylor expansion of re in re 1.218 * [taylor]: Taking taylor expansion of (* im im) in re 1.218 * [taylor]: Taking taylor expansion of im in re 1.218 * [taylor]: Taking taylor expansion of im in re 1.219 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.219 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.219 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.219 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.219 * [taylor]: Taking taylor expansion of (* re re) in re 1.219 * [taylor]: Taking taylor expansion of re in re 1.219 * [taylor]: Taking taylor expansion of re in re 1.219 * [taylor]: Taking taylor expansion of (* im im) in re 1.219 * [taylor]: Taking taylor expansion of im in re 1.219 * [taylor]: Taking taylor expansion of im in re 1.220 * [taylor]: Taking taylor expansion of (- re) in re 1.220 * [taylor]: Taking taylor expansion of re in re 1.221 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.221 * [taylor]: Taking taylor expansion of 2.0 in re 1.222 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 1.222 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.222 * [taylor]: Taking taylor expansion of 2.0 in im 1.223 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.223 * [taylor]: Taking taylor expansion of im in im 1.226 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 1.226 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 1.226 * [taylor]: Taking taylor expansion of 1/2 in im 1.226 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 1.226 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.226 * [taylor]: Taking taylor expansion of 2.0 in im 1.227 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.227 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.227 * [taylor]: Taking taylor expansion of im in im 1.247 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))))) in (re im) around 0 1.247 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))))) in im 1.247 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.247 * [taylor]: Taking taylor expansion of 2.0 in im 1.248 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re)))) in im 1.248 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in im 1.248 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 1.248 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in im 1.248 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 1.248 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.248 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.248 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.248 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.248 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.248 * [taylor]: Taking taylor expansion of re in im 1.248 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.248 * [taylor]: Taking taylor expansion of re in im 1.248 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.248 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.248 * [taylor]: Taking taylor expansion of im in im 1.248 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.248 * [taylor]: Taking taylor expansion of im in im 1.252 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 1.252 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.252 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.252 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.252 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.252 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.252 * [taylor]: Taking taylor expansion of re in im 1.252 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.252 * [taylor]: Taking taylor expansion of re in im 1.252 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.252 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.252 * [taylor]: Taking taylor expansion of im in im 1.252 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.252 * [taylor]: Taking taylor expansion of im in im 1.256 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in im 1.256 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.256 * [taylor]: Taking taylor expansion of re in im 1.277 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))))) in re 1.277 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.277 * [taylor]: Taking taylor expansion of 2.0 in re 1.278 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re)))) in re 1.278 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re 1.278 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 1.278 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 1.278 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.279 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.279 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.279 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.279 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.279 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.279 * [taylor]: Taking taylor expansion of re in re 1.279 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.279 * [taylor]: Taking taylor expansion of re in re 1.279 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.279 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.279 * [taylor]: Taking taylor expansion of im in re 1.279 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.279 * [taylor]: Taking taylor expansion of im in re 1.283 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.283 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.283 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.283 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.283 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.283 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.283 * [taylor]: Taking taylor expansion of re in re 1.283 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.283 * [taylor]: Taking taylor expansion of re in re 1.284 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.284 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.284 * [taylor]: Taking taylor expansion of im in re 1.284 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.284 * [taylor]: Taking taylor expansion of im in re 1.287 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 1.287 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.287 * [taylor]: Taking taylor expansion of re in re 1.289 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))))) in re 1.289 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.289 * [taylor]: Taking taylor expansion of 2.0 in re 1.290 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re)))) in re 1.290 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re 1.290 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 1.290 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 1.290 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.290 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.290 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.290 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.290 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.290 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.290 * [taylor]: Taking taylor expansion of re in re 1.291 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.291 * [taylor]: Taking taylor expansion of re in re 1.291 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.291 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.291 * [taylor]: Taking taylor expansion of im in re 1.291 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.291 * [taylor]: Taking taylor expansion of im in re 1.294 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.295 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.295 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.295 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.295 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.295 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.295 * [taylor]: Taking taylor expansion of re in re 1.295 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.295 * [taylor]: Taking taylor expansion of re in re 1.295 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.295 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.295 * [taylor]: Taking taylor expansion of im in re 1.295 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.295 * [taylor]: Taking taylor expansion of im in re 1.299 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 1.299 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.299 * [taylor]: Taking taylor expansion of re in re 1.301 * [taylor]: Taking taylor expansion of 0 in im 1.303 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.303 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.303 * [taylor]: Taking taylor expansion of +nan.0 in im 1.303 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.303 * [taylor]: Taking taylor expansion of 2.0 in im 1.316 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.316 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.316 * [taylor]: Taking taylor expansion of +nan.0 in im 1.316 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.316 * [taylor]: Taking taylor expansion of 2.0 in im 1.333 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.333 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.333 * [taylor]: Taking taylor expansion of +nan.0 in im 1.333 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.333 * [taylor]: Taking taylor expansion of 2.0 in im 1.340 * [approximate]: Taking taylor expansion of (* (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 1.340 * [taylor]: Taking taylor expansion of (* (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re))) (sqrt 2.0)) in im 1.340 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re))) in im 1.340 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in im 1.340 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 1.340 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in im 1.340 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 1.340 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.340 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.340 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.340 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.340 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.340 * [taylor]: Taking taylor expansion of -1 in im 1.340 * [taylor]: Taking taylor expansion of re in im 1.340 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.340 * [taylor]: Taking taylor expansion of -1 in im 1.340 * [taylor]: Taking taylor expansion of re in im 1.340 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.340 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.340 * [taylor]: Taking taylor expansion of -1 in im 1.340 * [taylor]: Taking taylor expansion of im in im 1.341 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.341 * [taylor]: Taking taylor expansion of -1 in im 1.341 * [taylor]: Taking taylor expansion of im in im 1.344 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 1.344 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.344 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.344 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.344 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.344 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.345 * [taylor]: Taking taylor expansion of -1 in im 1.345 * [taylor]: Taking taylor expansion of re in im 1.345 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.345 * [taylor]: Taking taylor expansion of -1 in im 1.345 * [taylor]: Taking taylor expansion of re in im 1.345 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.345 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.345 * [taylor]: Taking taylor expansion of -1 in im 1.345 * [taylor]: Taking taylor expansion of im in im 1.345 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.345 * [taylor]: Taking taylor expansion of -1 in im 1.345 * [taylor]: Taking taylor expansion of im in im 1.349 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.349 * [taylor]: Taking taylor expansion of re in im 1.369 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.369 * [taylor]: Taking taylor expansion of 2.0 in im 1.370 * [taylor]: Taking taylor expansion of (* (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re))) (sqrt 2.0)) in re 1.370 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re))) in re 1.370 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re 1.370 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 1.370 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 1.370 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.370 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.370 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.370 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.370 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.370 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.370 * [taylor]: Taking taylor expansion of -1 in re 1.370 * [taylor]: Taking taylor expansion of re in re 1.370 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.370 * [taylor]: Taking taylor expansion of -1 in re 1.370 * [taylor]: Taking taylor expansion of re in re 1.371 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.371 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.371 * [taylor]: Taking taylor expansion of -1 in re 1.371 * [taylor]: Taking taylor expansion of im in re 1.371 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.371 * [taylor]: Taking taylor expansion of -1 in re 1.371 * [taylor]: Taking taylor expansion of im in re 1.374 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.374 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.374 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.374 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.374 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.374 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.374 * [taylor]: Taking taylor expansion of -1 in re 1.374 * [taylor]: Taking taylor expansion of 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 1.375 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.375 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.375 * [taylor]: Taking taylor expansion of -1 in re 1.375 * [taylor]: Taking taylor expansion of im in re 1.375 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.375 * [taylor]: Taking taylor expansion of -1 in re 1.375 * [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 1.381 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.381 * [taylor]: Taking taylor expansion of 2.0 in re 1.382 * [taylor]: Taking taylor expansion of (* (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re))) (sqrt 2.0)) in re 1.382 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re))) in re 1.382 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re 1.382 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 1.382 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 1.382 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.382 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.382 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.382 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.382 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.382 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.382 * [taylor]: Taking taylor expansion of -1 in re 1.382 * [taylor]: Taking taylor expansion of re in re 1.383 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.383 * [taylor]: Taking taylor expansion of -1 in re 1.383 * [taylor]: Taking taylor expansion of re in re 1.383 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.383 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.383 * [taylor]: Taking taylor expansion of -1 in re 1.383 * [taylor]: Taking taylor expansion of im in re 1.383 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.383 * [taylor]: Taking taylor expansion of -1 in re 1.383 * [taylor]: Taking taylor expansion of im in re 1.386 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.386 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.387 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.387 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.387 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.387 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.387 * [taylor]: Taking taylor expansion of -1 in re 1.387 * [taylor]: Taking taylor expansion of re in re 1.387 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.387 * [taylor]: Taking taylor expansion of -1 in re 1.387 * [taylor]: Taking taylor expansion of re in re 1.387 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.387 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.387 * [taylor]: Taking taylor expansion of -1 in re 1.387 * [taylor]: Taking taylor expansion of im in re 1.387 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.387 * [taylor]: Taking taylor expansion of -1 in re 1.387 * [taylor]: Taking taylor expansion of im in re 1.391 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.391 * [taylor]: Taking taylor expansion of re in re 1.393 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.393 * [taylor]: Taking taylor expansion of 2.0 in re 1.394 * [taylor]: Taking taylor expansion of 0 in im 1.395 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.395 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.395 * [taylor]: Taking taylor expansion of +nan.0 in im 1.395 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.395 * [taylor]: Taking taylor expansion of 2.0 in im 1.409 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.409 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.409 * [taylor]: Taking taylor expansion of +nan.0 in im 1.409 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.409 * [taylor]: Taking taylor expansion of 2.0 in im 1.427 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.427 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.427 * [taylor]: Taking taylor expansion of +nan.0 in im 1.427 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.427 * [taylor]: Taking taylor expansion of 2.0 in im 1.433 * * * [progress]: simplifying candidates 1.434 * [simplify]: Simplifying using # : (expm1 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (log1p (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (exp (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (* (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (expm1 (sqrt (* 2.0 (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 0)))) (log1p (sqrt (* 2.0 (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 0)))) (log (sqrt (* 2.0 (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 0)))) (exp (sqrt (* 2.0 (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 0)))) (* (cbrt (sqrt (* 2.0 (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 0)))) (cbrt (sqrt (* 2.0 (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 0))))) (cbrt (sqrt (* 2.0 (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 0)))) (* (* (sqrt (* 2.0 (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 0))) (sqrt (* 2.0 (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 0)))) (sqrt (* 2.0 (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 0)))) (sqrt 2.0) (sqrt (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 0)) (sqrt (* 2.0 (+ (pow (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 3) (pow 0 3)))) (sqrt (+ (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (- (* 0 0) (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 0)))) (sqrt (* 2.0 (- (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (* 0 0)))) (sqrt (- (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 0)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 0)))) (sqrt (sqrt (* 2.0 (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 0)))) (- im re) (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- re +nan.0))) (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- re +nan.0))) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) (* im re)))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +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))))))) 1.443 * * [simplify]: iteration 0 : 192 enodes (cost 304 ) 1.446 * * [simplify]: iteration 1 : 720 enodes (cost 267 ) 1.471 * * [simplify]: iteration 2 : 5001 enodes (cost 251 ) 1.473 * [simplify]: Simplified to: (expm1 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (log1p (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (hypot re im) (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (pow (exp 1) (- (hypot re im) re)) (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (pow (- (hypot re im) re) 3) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (expm1 (sqrt (* 2.0 (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 0)))) (log1p (sqrt (* 2.0 (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 0)))) (log (sqrt (* 2.0 (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 0)))) (exp (sqrt (* 2.0 (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 0)))) (* (cbrt (sqrt (* 2.0 (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 0)))) (cbrt (sqrt (* 2.0 (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 0))))) (cbrt (sqrt (* 2.0 (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 0)))) (pow (sqrt (* 2.0 (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 0))) 3) (sqrt 2.0) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (* 2.0 (+ (pow (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 3) 0))) (hypot (- (hypot re im) re) 0) (sqrt (* 2.0 (- (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) 0))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) 1/2 1/2 (sqrt (sqrt (* 2.0 (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 0)))) (sqrt (sqrt (* 2.0 (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 0)))) (- im re) (+ (- (fma +nan.0 (/ (pow im 2) (pow re 2)) re)) +nan.0) (+ (- (fma +nan.0 (/ (pow im 2) (pow re 2)) re)) +nan.0) (* (* +nan.0 (sqrt 2.0)) (+ (- (pow im 2)) (- im (* im re)))) (fma (- (sqrt 2.0)) +nan.0 (* +nan.0 (- (/ (sqrt 2.0) (pow re 2)) (/ (sqrt 2.0) re)))) (fma (- (sqrt 2.0)) +nan.0 (* +nan.0 (- (/ (sqrt 2.0) (pow re 2)) (/ (sqrt 2.0) re)))) 1.473 * * * [progress]: adding candidates to table 1.571 * * [progress]: iteration 4 / 4 1.571 * * * [progress]: picking best candidate 1.589 * * * * [pick]: Picked # 1.589 * * * [progress]: localizing error 1.608 * * * [progress]: generating rewritten candidates 1.608 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1) 1.609 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 2 1) 1.609 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1 1) 1.610 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 2) 1.611 * * * [progress]: generating series expansions 1.611 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1) 1.611 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in (re im) around 0 1.611 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in im 1.611 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 1.611 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in im 1.611 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 1.611 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.611 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.611 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.611 * [taylor]: Taking taylor expansion of (* re re) in im 1.611 * [taylor]: Taking taylor expansion of re in im 1.611 * [taylor]: Taking taylor expansion of re in im 1.611 * [taylor]: Taking taylor expansion of (* im im) in im 1.611 * [taylor]: Taking taylor expansion of im in im 1.611 * [taylor]: Taking taylor expansion of im in im 1.613 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 1.613 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.613 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.613 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.613 * [taylor]: Taking taylor expansion of (* re re) in im 1.613 * [taylor]: Taking taylor expansion of re in im 1.613 * [taylor]: Taking taylor expansion of re in im 1.613 * [taylor]: Taking taylor expansion of (* im im) in im 1.613 * [taylor]: Taking taylor expansion of im in im 1.613 * [taylor]: Taking taylor expansion of im in im 1.614 * [taylor]: Taking taylor expansion of (- re) in im 1.614 * [taylor]: Taking taylor expansion of re in im 1.614 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re 1.614 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 1.614 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 1.615 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.615 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.615 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.615 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.615 * [taylor]: Taking taylor expansion of (* re re) in re 1.615 * [taylor]: Taking taylor expansion of re in re 1.615 * [taylor]: Taking taylor expansion of re in re 1.615 * [taylor]: Taking taylor expansion of (* im im) in re 1.615 * [taylor]: Taking taylor expansion of im in re 1.615 * [taylor]: Taking taylor expansion of im in re 1.616 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.616 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.616 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.616 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.616 * [taylor]: Taking taylor expansion of (* re re) in re 1.616 * [taylor]: Taking taylor expansion of re in re 1.616 * [taylor]: Taking taylor expansion of re in re 1.616 * [taylor]: Taking taylor expansion of (* im im) in re 1.616 * [taylor]: Taking taylor expansion of im in re 1.616 * [taylor]: Taking taylor expansion of im in re 1.617 * [taylor]: Taking taylor expansion of (- re) in re 1.617 * [taylor]: Taking taylor expansion of re in re 1.617 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re 1.617 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 1.617 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 1.617 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.617 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.617 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.618 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.618 * [taylor]: Taking taylor expansion of (* re re) in re 1.618 * [taylor]: Taking taylor expansion of re in re 1.618 * [taylor]: Taking taylor expansion of re in re 1.618 * [taylor]: Taking taylor expansion of (* im im) in re 1.618 * [taylor]: Taking taylor expansion of im in re 1.618 * [taylor]: Taking taylor expansion of im in re 1.619 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.619 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.619 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.619 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.619 * [taylor]: Taking taylor expansion of (* re re) in re 1.619 * [taylor]: Taking taylor expansion of re in re 1.619 * [taylor]: Taking taylor expansion of re in re 1.619 * [taylor]: Taking taylor expansion of (* im im) in re 1.619 * [taylor]: Taking taylor expansion of im in re 1.619 * [taylor]: Taking taylor expansion of im in re 1.620 * [taylor]: Taking taylor expansion of (- re) in re 1.620 * [taylor]: Taking taylor expansion of re in re 1.620 * [taylor]: Taking taylor expansion of im in im 1.621 * [taylor]: Taking taylor expansion of -1 in im 1.626 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.626 * [taylor]: Taking taylor expansion of 1/2 in im 1.626 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.626 * [taylor]: Taking taylor expansion of im in im 1.630 * [taylor]: Taking taylor expansion of 0 in im 1.632 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in (re im) around 0 1.632 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in im 1.632 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 1.632 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in im 1.632 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 1.632 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 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 im 1.632 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.632 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.632 * [taylor]: Taking taylor expansion of re in im 1.632 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.632 * [taylor]: Taking taylor expansion of re in im 1.632 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.632 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.632 * [taylor]: Taking taylor expansion of im in im 1.632 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.633 * [taylor]: Taking taylor expansion of im in im 1.636 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 1.636 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.637 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.637 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.637 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.637 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.637 * [taylor]: Taking taylor expansion of re in im 1.637 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.637 * [taylor]: Taking taylor expansion of re in im 1.637 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.637 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.637 * [taylor]: Taking taylor expansion of im in im 1.637 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.637 * [taylor]: Taking taylor expansion of im in im 1.641 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in im 1.641 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.641 * [taylor]: Taking taylor expansion of re in im 1.641 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re 1.641 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 1.641 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 1.641 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.641 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.641 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.641 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.641 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.641 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.641 * [taylor]: Taking taylor expansion of re in re 1.641 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.641 * [taylor]: Taking taylor expansion of re in re 1.642 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.642 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.642 * [taylor]: Taking taylor expansion of im in re 1.642 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.642 * [taylor]: Taking taylor expansion of im in re 1.645 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.645 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.645 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.645 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.645 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.645 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.645 * [taylor]: Taking taylor expansion of re in re 1.646 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.646 * [taylor]: Taking taylor expansion of re in re 1.646 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.646 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.646 * [taylor]: Taking taylor expansion of im in re 1.646 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.646 * [taylor]: Taking taylor expansion of im in re 1.649 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 1.649 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.649 * [taylor]: Taking taylor expansion of re in re 1.650 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re 1.650 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 1.650 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 1.650 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.650 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.650 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.650 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.650 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.650 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.650 * [taylor]: Taking taylor expansion of re in re 1.650 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.650 * [taylor]: Taking taylor expansion of re in re 1.651 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.651 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.651 * [taylor]: Taking taylor expansion of im in re 1.651 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.651 * [taylor]: Taking taylor expansion of im in re 1.654 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.654 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.654 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.654 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.654 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.654 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.654 * [taylor]: Taking taylor expansion of re in re 1.654 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.654 * [taylor]: Taking taylor expansion of re in re 1.655 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.655 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.655 * [taylor]: Taking taylor expansion of im in re 1.655 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.655 * [taylor]: Taking taylor expansion of im in re 1.658 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 1.658 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.658 * [taylor]: Taking taylor expansion of re in re 1.659 * [taylor]: Taking taylor expansion of 0 in im 1.660 * [taylor]: Taking taylor expansion of -1 in im 1.667 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.667 * [taylor]: Taking taylor expansion of +nan.0 in im 1.676 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.676 * [taylor]: Taking taylor expansion of +nan.0 in im 1.692 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 1.692 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 1.692 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 1.692 * [taylor]: Taking taylor expansion of +nan.0 in im 1.692 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.692 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.692 * [taylor]: Taking taylor expansion of im in im 1.693 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.693 * [taylor]: Taking taylor expansion of +nan.0 in im 1.695 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in (re im) around 0 1.695 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in im 1.695 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 1.695 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in im 1.695 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 1.695 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.696 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.696 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.696 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.696 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.696 * [taylor]: Taking taylor expansion of -1 in im 1.696 * [taylor]: Taking taylor expansion of re in im 1.696 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.696 * [taylor]: Taking taylor expansion of -1 in im 1.696 * [taylor]: Taking taylor expansion of re in im 1.696 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.696 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.696 * [taylor]: Taking taylor expansion of -1 in im 1.696 * [taylor]: Taking taylor expansion of im in im 1.696 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.696 * [taylor]: Taking taylor expansion of -1 in im 1.696 * [taylor]: Taking taylor expansion of im in im 1.700 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 1.700 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.700 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.700 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.700 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.700 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.700 * [taylor]: Taking taylor expansion of -1 in im 1.700 * [taylor]: Taking taylor expansion of re in im 1.700 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.700 * [taylor]: Taking taylor expansion of -1 in im 1.700 * [taylor]: Taking taylor expansion of re in im 1.700 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.700 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.700 * [taylor]: Taking taylor expansion of -1 in im 1.700 * [taylor]: Taking taylor expansion of im in im 1.701 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.701 * [taylor]: Taking taylor expansion of -1 in im 1.701 * [taylor]: Taking taylor expansion of im in im 1.704 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.704 * [taylor]: Taking taylor expansion of re in im 1.704 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re 1.705 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 1.705 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 1.705 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.705 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.705 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.705 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.705 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.705 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.705 * [taylor]: Taking taylor expansion of -1 in re 1.705 * [taylor]: Taking taylor expansion of re in re 1.705 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.705 * [taylor]: Taking taylor expansion of -1 in re 1.705 * [taylor]: Taking taylor expansion of re in re 1.705 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.705 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.705 * [taylor]: Taking taylor expansion of -1 in re 1.705 * [taylor]: Taking taylor expansion of im in re 1.706 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.706 * [taylor]: Taking taylor expansion of -1 in re 1.706 * [taylor]: Taking taylor expansion of im in re 1.709 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.709 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.709 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.709 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.709 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.709 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.709 * [taylor]: Taking taylor expansion of -1 in re 1.709 * [taylor]: Taking taylor expansion of re in re 1.710 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.710 * [taylor]: Taking taylor expansion of -1 in re 1.710 * [taylor]: Taking taylor expansion of re in re 1.710 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.710 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.710 * [taylor]: Taking taylor expansion of -1 in re 1.710 * [taylor]: Taking taylor expansion of im in re 1.710 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.710 * [taylor]: Taking taylor expansion of -1 in re 1.710 * [taylor]: Taking taylor expansion of im in re 1.713 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.714 * [taylor]: Taking taylor expansion of re in re 1.714 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re 1.714 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 1.714 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 1.714 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.714 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.714 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.714 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.714 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.714 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.714 * [taylor]: Taking taylor expansion of -1 in re 1.714 * [taylor]: Taking taylor expansion of re in re 1.714 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.714 * [taylor]: Taking taylor expansion of -1 in re 1.714 * [taylor]: Taking taylor expansion of re in re 1.715 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.715 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.715 * [taylor]: Taking taylor expansion of -1 in re 1.715 * [taylor]: Taking taylor expansion of im in re 1.715 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.715 * [taylor]: Taking taylor expansion of -1 in re 1.715 * [taylor]: Taking taylor expansion of im in re 1.718 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.718 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.718 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.718 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.719 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.719 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.719 * [taylor]: Taking taylor expansion of -1 in re 1.719 * [taylor]: Taking taylor expansion of re in re 1.719 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.719 * [taylor]: Taking taylor expansion of -1 in re 1.719 * [taylor]: Taking taylor expansion of re in re 1.719 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.719 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.719 * [taylor]: Taking taylor expansion of -1 in re 1.719 * [taylor]: Taking taylor expansion of im in re 1.719 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.719 * [taylor]: Taking taylor expansion of -1 in re 1.719 * [taylor]: Taking taylor expansion of im in re 1.723 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.723 * [taylor]: Taking taylor expansion of re in re 1.723 * [taylor]: Taking taylor expansion of 0 in im 1.724 * [taylor]: Taking taylor expansion of 1 in im 1.730 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.730 * [taylor]: Taking taylor expansion of +nan.0 in im 1.739 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.739 * [taylor]: Taking taylor expansion of +nan.0 in im 1.748 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 1.748 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 1.748 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 1.748 * [taylor]: Taking taylor expansion of +nan.0 in im 1.748 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.748 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.748 * [taylor]: Taking taylor expansion of im in im 1.749 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.749 * [taylor]: Taking taylor expansion of +nan.0 in im 1.751 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 2 1) 1.751 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in (re im) around 0 1.751 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in im 1.751 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 1.751 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in im 1.751 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 1.751 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.751 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.751 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.752 * [taylor]: Taking taylor expansion of (* re re) in im 1.752 * [taylor]: Taking taylor expansion of re in im 1.752 * [taylor]: Taking taylor expansion of re in im 1.752 * [taylor]: Taking taylor expansion of (* im im) in im 1.752 * [taylor]: Taking taylor expansion of im in im 1.752 * [taylor]: Taking taylor expansion of im in im 1.753 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 1.753 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.753 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.753 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.753 * [taylor]: Taking taylor expansion of (* re re) in im 1.753 * [taylor]: Taking taylor expansion of re in im 1.753 * [taylor]: Taking taylor expansion of re in im 1.753 * [taylor]: Taking taylor expansion of (* im im) in im 1.753 * [taylor]: Taking taylor expansion of im in im 1.753 * [taylor]: Taking taylor expansion of im in im 1.754 * [taylor]: Taking taylor expansion of (- re) in im 1.754 * [taylor]: Taking taylor expansion of re in im 1.754 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re 1.754 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 1.754 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 1.754 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.754 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.754 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.754 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.754 * [taylor]: Taking taylor expansion of (* re re) in re 1.754 * [taylor]: Taking taylor expansion of re in re 1.754 * [taylor]: Taking taylor expansion of re in re 1.754 * [taylor]: Taking taylor expansion of (* im im) in re 1.754 * [taylor]: Taking taylor expansion of im in re 1.754 * [taylor]: Taking taylor expansion of im in re 1.756 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.756 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.756 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.756 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.756 * [taylor]: Taking taylor expansion of (* re re) in re 1.756 * [taylor]: Taking taylor expansion of re in re 1.756 * [taylor]: Taking taylor expansion of re in re 1.756 * [taylor]: Taking taylor expansion of (* im im) in re 1.756 * [taylor]: Taking taylor expansion of im in re 1.756 * [taylor]: Taking taylor expansion of im in re 1.757 * [taylor]: Taking taylor expansion of (- re) in re 1.757 * [taylor]: Taking taylor expansion of re in re 1.757 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re 1.757 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 1.757 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 1.757 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.757 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.757 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.757 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.757 * [taylor]: Taking taylor expansion of (* re re) in re 1.757 * [taylor]: Taking taylor expansion of re in re 1.757 * [taylor]: Taking taylor expansion of re in re 1.757 * [taylor]: Taking taylor expansion of (* im im) in re 1.757 * [taylor]: Taking taylor expansion of im in re 1.757 * [taylor]: Taking taylor expansion of im in re 1.758 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.759 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.759 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.759 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.759 * [taylor]: Taking taylor expansion of (* re re) in re 1.759 * [taylor]: Taking taylor expansion of re in re 1.759 * [taylor]: Taking taylor expansion of re in re 1.759 * [taylor]: Taking taylor expansion of (* im im) in re 1.759 * [taylor]: Taking taylor expansion of im in re 1.759 * [taylor]: Taking taylor expansion of im in re 1.760 * [taylor]: Taking taylor expansion of (- re) in re 1.760 * [taylor]: Taking taylor expansion of re in re 1.760 * [taylor]: Taking taylor expansion of im in im 1.761 * [taylor]: Taking taylor expansion of -1 in im 1.765 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.765 * [taylor]: Taking taylor expansion of 1/2 in im 1.765 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.765 * [taylor]: Taking taylor expansion of im in im 1.775 * [taylor]: Taking taylor expansion of 0 in im 1.776 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in (re im) around 0 1.776 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in im 1.777 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 1.777 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in im 1.777 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 1.777 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.777 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.777 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.777 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.777 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.777 * [taylor]: Taking taylor expansion of re in im 1.777 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.777 * [taylor]: Taking taylor expansion of re in im 1.777 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.777 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.777 * [taylor]: Taking taylor expansion of im in im 1.777 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.777 * [taylor]: Taking taylor expansion of im in im 1.781 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 1.781 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.781 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.781 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.781 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.781 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.781 * [taylor]: Taking taylor expansion of re in im 1.781 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.781 * [taylor]: Taking taylor expansion of re in im 1.781 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.781 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.781 * [taylor]: Taking taylor expansion of im in im 1.782 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.782 * [taylor]: Taking taylor expansion of im in im 1.785 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in im 1.785 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.785 * [taylor]: Taking taylor expansion of re in im 1.785 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re 1.786 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 1.786 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 1.786 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.786 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.786 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.786 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.786 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.786 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.786 * [taylor]: Taking taylor expansion of re in re 1.786 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.786 * [taylor]: Taking taylor expansion of re in re 1.786 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.786 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.786 * [taylor]: Taking taylor expansion of im in re 1.786 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.786 * [taylor]: Taking taylor expansion of im in re 1.790 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.790 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.790 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.790 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.790 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.790 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.790 * [taylor]: Taking taylor expansion of re in re 1.790 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.790 * [taylor]: Taking taylor expansion of re in re 1.791 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.791 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.791 * [taylor]: Taking taylor expansion of im in re 1.791 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.791 * [taylor]: Taking taylor expansion of im in re 1.795 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 1.795 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.795 * [taylor]: Taking taylor expansion of re in re 1.795 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re 1.795 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 1.795 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 1.795 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.795 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.795 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.795 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.795 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.795 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.795 * [taylor]: Taking taylor expansion of re in re 1.795 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.795 * [taylor]: Taking taylor expansion of re in re 1.796 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.796 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.796 * [taylor]: Taking taylor expansion of im in re 1.796 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.796 * [taylor]: Taking taylor expansion of im in re 1.799 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.799 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.799 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.799 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.799 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.799 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.799 * [taylor]: Taking taylor expansion of re in re 1.800 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.800 * [taylor]: Taking taylor expansion of re in re 1.800 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.800 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.800 * [taylor]: Taking taylor expansion of im in re 1.800 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.800 * [taylor]: Taking taylor expansion of im in re 1.803 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 1.803 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.803 * [taylor]: Taking taylor expansion of re in re 1.804 * [taylor]: Taking taylor expansion of 0 in im 1.805 * [taylor]: Taking taylor expansion of -1 in im 1.811 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.811 * [taylor]: Taking taylor expansion of +nan.0 in im 1.820 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.820 * [taylor]: Taking taylor expansion of +nan.0 in im 1.829 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 1.829 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 1.829 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 1.829 * [taylor]: Taking taylor expansion of +nan.0 in im 1.829 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.829 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.829 * [taylor]: Taking taylor expansion of im in im 1.829 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.829 * [taylor]: Taking taylor expansion of +nan.0 in im 1.832 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in (re im) around 0 1.832 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in im 1.832 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 1.832 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in im 1.832 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 1.832 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.833 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.833 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.833 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.833 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.833 * [taylor]: Taking taylor expansion of -1 in im 1.833 * [taylor]: Taking taylor expansion of re in im 1.833 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.833 * [taylor]: Taking taylor expansion of -1 in im 1.833 * [taylor]: Taking taylor expansion of re in im 1.833 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.833 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.833 * [taylor]: Taking taylor expansion of -1 in im 1.833 * [taylor]: Taking taylor expansion of im in im 1.833 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.833 * [taylor]: Taking taylor expansion of -1 in im 1.833 * [taylor]: Taking taylor expansion of im in im 1.837 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 1.837 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.837 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.837 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.837 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.837 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.837 * [taylor]: Taking taylor expansion of -1 in im 1.837 * [taylor]: Taking taylor expansion of re in im 1.837 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.837 * [taylor]: Taking taylor expansion of -1 in im 1.837 * [taylor]: Taking taylor expansion of re in im 1.837 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.837 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.837 * [taylor]: Taking taylor expansion of -1 in im 1.837 * [taylor]: Taking taylor expansion of im in im 1.838 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.838 * [taylor]: Taking taylor expansion of -1 in im 1.838 * [taylor]: Taking taylor expansion of im in im 1.841 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.841 * [taylor]: Taking taylor expansion of re in im 1.841 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re 1.842 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 1.842 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 1.842 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.842 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.842 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.842 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.842 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.842 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.842 * [taylor]: Taking taylor expansion of -1 in re 1.842 * [taylor]: Taking taylor expansion of re in re 1.842 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.842 * [taylor]: Taking taylor expansion of -1 in re 1.842 * [taylor]: Taking taylor expansion of re in re 1.842 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.842 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.842 * [taylor]: Taking taylor expansion of -1 in re 1.842 * [taylor]: Taking taylor expansion of im in re 1.842 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.842 * [taylor]: Taking taylor expansion of -1 in re 1.842 * [taylor]: Taking taylor expansion of im in re 1.846 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.846 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.846 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.847 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.847 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.847 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.847 * [taylor]: Taking taylor expansion of -1 in re 1.847 * [taylor]: Taking taylor expansion of re in re 1.847 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.847 * [taylor]: Taking taylor expansion of -1 in re 1.847 * [taylor]: Taking taylor expansion of re in re 1.847 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.847 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.847 * [taylor]: Taking taylor expansion of -1 in re 1.847 * [taylor]: Taking taylor expansion of im in re 1.847 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.847 * [taylor]: Taking taylor expansion of -1 in re 1.847 * [taylor]: Taking taylor expansion of im in re 1.851 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.851 * [taylor]: Taking taylor expansion of re in re 1.851 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re 1.851 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 1.851 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 1.851 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.851 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.851 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.851 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.851 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.851 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.851 * [taylor]: Taking taylor expansion of -1 in re 1.851 * [taylor]: Taking taylor expansion of re in re 1.852 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.852 * [taylor]: Taking taylor expansion of -1 in re 1.852 * [taylor]: Taking taylor expansion of re in re 1.852 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.852 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.852 * [taylor]: Taking taylor expansion of -1 in re 1.852 * [taylor]: Taking taylor expansion of im in re 1.852 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.852 * [taylor]: Taking taylor expansion of -1 in re 1.852 * [taylor]: Taking taylor expansion of im in re 1.860 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.860 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.861 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.861 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.861 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.861 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.861 * [taylor]: Taking taylor expansion of -1 in re 1.861 * [taylor]: Taking taylor expansion of re in re 1.861 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.861 * [taylor]: Taking taylor expansion of -1 in re 1.861 * [taylor]: Taking taylor expansion of re in re 1.862 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.862 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.862 * [taylor]: Taking taylor expansion of -1 in re 1.862 * [taylor]: Taking taylor expansion of im in re 1.862 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.862 * [taylor]: Taking taylor expansion of -1 in re 1.862 * [taylor]: Taking taylor expansion of im in re 1.865 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.865 * [taylor]: Taking taylor expansion of re in re 1.866 * [taylor]: Taking taylor expansion of 0 in im 1.867 * [taylor]: Taking taylor expansion of 1 in im 1.873 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.873 * [taylor]: Taking taylor expansion of +nan.0 in im 1.882 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.882 * [taylor]: Taking taylor expansion of +nan.0 in im 1.891 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 1.891 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 1.891 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 1.891 * [taylor]: Taking taylor expansion of +nan.0 in im 1.891 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.891 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.891 * [taylor]: Taking taylor expansion of im in im 1.891 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.891 * [taylor]: Taking taylor expansion of +nan.0 in im 1.894 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1 1) 1.894 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in (re im) around 0 1.894 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in im 1.894 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 1.894 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in im 1.894 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 1.894 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.894 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.894 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.894 * [taylor]: Taking taylor expansion of (* re re) in im 1.894 * [taylor]: Taking taylor expansion of re in im 1.894 * [taylor]: Taking taylor expansion of re in im 1.894 * [taylor]: Taking taylor expansion of (* im im) in im 1.894 * [taylor]: Taking taylor expansion of im in im 1.894 * [taylor]: Taking taylor expansion of im in im 1.895 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 1.896 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.896 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.896 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.896 * [taylor]: Taking taylor expansion of (* re re) in im 1.896 * [taylor]: Taking taylor expansion of re in im 1.896 * [taylor]: Taking taylor expansion of re in im 1.896 * [taylor]: Taking taylor expansion of (* im im) in im 1.896 * [taylor]: Taking taylor expansion of im in im 1.896 * [taylor]: Taking taylor expansion of im in im 1.897 * [taylor]: Taking taylor expansion of (- re) in im 1.897 * [taylor]: Taking taylor expansion of re in im 1.897 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re 1.897 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 1.897 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 1.897 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.897 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.897 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.897 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.897 * [taylor]: Taking taylor expansion of (* re re) in re 1.897 * [taylor]: Taking taylor expansion of re in re 1.897 * [taylor]: Taking taylor expansion of re in re 1.897 * [taylor]: Taking taylor expansion of (* im im) in re 1.897 * [taylor]: Taking taylor expansion of im in re 1.897 * [taylor]: Taking taylor expansion of im in re 1.898 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.898 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.898 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.898 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.899 * [taylor]: Taking taylor expansion of (* re re) in re 1.899 * [taylor]: Taking taylor expansion of re in re 1.899 * [taylor]: Taking taylor expansion of re in re 1.899 * [taylor]: Taking taylor expansion of (* im im) in re 1.899 * [taylor]: Taking taylor expansion of im in re 1.899 * [taylor]: Taking taylor expansion of im in re 1.900 * [taylor]: Taking taylor expansion of (- re) in re 1.900 * [taylor]: Taking taylor expansion of re in re 1.900 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re 1.900 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 1.900 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 1.900 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.900 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.900 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.900 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.900 * [taylor]: Taking taylor expansion of (* re re) in re 1.900 * [taylor]: Taking taylor expansion of re in re 1.900 * [taylor]: Taking taylor expansion of re in re 1.900 * [taylor]: Taking taylor expansion of (* im im) in re 1.900 * [taylor]: Taking taylor expansion of im in re 1.900 * [taylor]: Taking taylor expansion of im in re 1.901 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.901 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.901 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.901 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.901 * [taylor]: Taking taylor expansion of (* re re) in re 1.901 * [taylor]: Taking taylor expansion of re in re 1.901 * [taylor]: Taking taylor expansion of re in re 1.901 * [taylor]: Taking taylor expansion of (* im im) in re 1.901 * [taylor]: Taking taylor expansion of im in re 1.901 * [taylor]: Taking taylor expansion of im in re 1.903 * [taylor]: Taking taylor expansion of (- re) in re 1.903 * [taylor]: Taking taylor expansion of re in re 1.903 * [taylor]: Taking taylor expansion of im in im 1.904 * [taylor]: Taking taylor expansion of -1 in im 1.908 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.908 * [taylor]: Taking taylor expansion of 1/2 in im 1.908 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.908 * [taylor]: Taking taylor expansion of im in im 1.913 * [taylor]: Taking taylor expansion of 0 in im 1.914 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in (re im) around 0 1.914 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in im 1.914 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 1.914 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in im 1.914 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 1.914 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.914 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.915 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.915 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.915 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.915 * [taylor]: Taking taylor expansion of re in im 1.915 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.915 * [taylor]: Taking taylor expansion of re in im 1.915 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.915 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.915 * [taylor]: Taking taylor expansion of im in im 1.915 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.915 * [taylor]: Taking taylor expansion of im in im 1.919 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 1.919 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.919 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.919 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.919 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.919 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.919 * [taylor]: Taking taylor expansion of re in im 1.919 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.919 * [taylor]: Taking taylor expansion of re in im 1.919 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.919 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.919 * [taylor]: Taking taylor expansion of im in im 1.920 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.920 * [taylor]: Taking taylor expansion of im in im 1.923 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in im 1.923 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.923 * [taylor]: Taking taylor expansion of re in im 1.923 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re 1.923 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 1.923 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 1.924 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.924 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.924 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.924 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.924 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.924 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.924 * [taylor]: Taking taylor expansion of re in re 1.924 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.924 * [taylor]: Taking taylor expansion of re in re 1.924 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.924 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.924 * [taylor]: Taking taylor expansion of im in re 1.924 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.924 * [taylor]: Taking taylor expansion of im in re 1.928 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.928 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.928 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.928 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.928 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.928 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.928 * [taylor]: Taking taylor expansion of re in re 1.928 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.928 * [taylor]: Taking taylor expansion of re in re 1.928 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.928 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.928 * [taylor]: Taking taylor expansion of im in re 1.929 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.929 * [taylor]: Taking taylor expansion of im in re 1.932 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 1.932 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.932 * [taylor]: Taking taylor expansion of re in re 1.932 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re 1.932 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 1.932 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 1.932 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.932 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.932 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.933 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.933 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.933 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.933 * [taylor]: Taking taylor expansion of re in re 1.933 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.933 * [taylor]: Taking taylor expansion of re in re 1.933 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.933 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.933 * [taylor]: Taking taylor expansion of im in re 1.933 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.933 * [taylor]: Taking taylor expansion of im in re 1.937 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.937 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.937 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.937 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.937 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.937 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.937 * [taylor]: Taking taylor expansion of re in re 1.937 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.937 * [taylor]: Taking taylor expansion of re in re 1.937 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.937 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.937 * [taylor]: Taking taylor expansion of im in re 1.937 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.937 * [taylor]: Taking taylor expansion of im in re 1.941 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 1.941 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.941 * [taylor]: Taking taylor expansion of re in re 1.942 * [taylor]: Taking taylor expansion of 0 in im 1.942 * [taylor]: Taking taylor expansion of -1 in im 1.954 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.954 * [taylor]: Taking taylor expansion of +nan.0 in im 1.964 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.964 * [taylor]: Taking taylor expansion of +nan.0 in im 1.972 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 1.972 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 1.973 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 1.973 * [taylor]: Taking taylor expansion of +nan.0 in im 1.973 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.973 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.973 * [taylor]: Taking taylor expansion of im in im 1.973 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.973 * [taylor]: Taking taylor expansion of +nan.0 in im 1.976 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in (re im) around 0 1.976 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in im 1.976 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 1.976 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in im 1.976 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 1.976 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.976 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.976 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.976 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.976 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.976 * [taylor]: Taking taylor expansion of -1 in im 1.976 * [taylor]: Taking taylor expansion of re in im 1.976 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.976 * [taylor]: Taking taylor expansion of -1 in im 1.976 * [taylor]: Taking taylor expansion of re in im 1.976 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.976 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.976 * [taylor]: Taking taylor expansion of -1 in im 1.976 * [taylor]: Taking taylor expansion of im in im 1.977 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.977 * [taylor]: Taking taylor expansion of -1 in im 1.977 * [taylor]: Taking taylor expansion of im in im 1.981 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 1.981 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.981 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.981 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.981 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.981 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.981 * [taylor]: Taking taylor expansion of -1 in im 1.981 * [taylor]: Taking taylor expansion of re in im 1.981 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.981 * [taylor]: Taking taylor expansion of -1 in im 1.981 * [taylor]: Taking taylor expansion of re in im 1.981 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.981 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.981 * [taylor]: Taking taylor expansion of -1 in im 1.981 * [taylor]: Taking taylor expansion of im in im 1.981 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.981 * [taylor]: Taking taylor expansion of -1 in im 1.981 * [taylor]: Taking taylor expansion of im in im 1.985 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.985 * [taylor]: Taking taylor expansion of re in im 1.985 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re 1.985 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 1.985 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 1.985 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.985 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.986 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.986 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.986 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.986 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.986 * [taylor]: Taking taylor expansion of -1 in re 1.986 * [taylor]: Taking taylor expansion of re in re 1.986 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.986 * [taylor]: Taking taylor expansion of -1 in re 1.986 * [taylor]: Taking taylor expansion of re in re 1.986 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.987 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.987 * [taylor]: Taking taylor expansion of -1 in re 1.987 * [taylor]: Taking taylor expansion of im in re 1.987 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.987 * [taylor]: Taking taylor expansion of -1 in re 1.987 * [taylor]: Taking taylor expansion of im in re 1.990 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.990 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.990 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.990 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.990 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.990 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.990 * [taylor]: Taking taylor expansion of -1 in re 1.990 * [taylor]: Taking taylor expansion of re in re 1.991 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.991 * [taylor]: Taking taylor expansion of -1 in re 1.991 * [taylor]: Taking taylor expansion of re in re 1.991 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.991 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.991 * [taylor]: Taking taylor expansion of -1 in re 1.991 * [taylor]: Taking taylor expansion of im in re 1.991 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.991 * [taylor]: Taking taylor expansion of -1 in re 1.991 * [taylor]: Taking taylor expansion of im in re 1.995 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.995 * [taylor]: Taking taylor expansion of re in re 1.995 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re 1.995 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 1.995 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 1.995 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.995 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.995 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.995 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.995 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.995 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.995 * [taylor]: Taking taylor expansion of -1 in re 1.995 * [taylor]: Taking taylor expansion of re in re 1.996 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.996 * [taylor]: Taking taylor expansion of -1 in re 1.996 * [taylor]: Taking taylor expansion of re in re 1.996 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.996 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.996 * [taylor]: Taking taylor expansion of -1 in re 1.996 * [taylor]: Taking taylor expansion of im in re 1.996 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.996 * [taylor]: Taking taylor expansion of -1 in re 1.996 * [taylor]: Taking taylor expansion of im in re 2.000 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 2.000 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.000 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.000 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.000 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.000 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.000 * [taylor]: Taking taylor expansion of -1 in re 2.000 * [taylor]: Taking taylor expansion of re in re 2.001 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.001 * [taylor]: Taking taylor expansion of -1 in re 2.001 * [taylor]: Taking taylor expansion of re in re 2.001 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.001 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.001 * [taylor]: Taking taylor expansion of -1 in re 2.001 * [taylor]: Taking taylor expansion of im in re 2.001 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.001 * [taylor]: Taking taylor expansion of -1 in re 2.001 * [taylor]: Taking taylor expansion of im in re 2.005 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.005 * [taylor]: Taking taylor expansion of re in re 2.006 * [taylor]: Taking taylor expansion of 0 in im 2.006 * [taylor]: Taking taylor expansion of 1 in im 2.012 * [taylor]: Taking taylor expansion of (- +nan.0) in im 2.012 * [taylor]: Taking taylor expansion of +nan.0 in im 2.021 * [taylor]: Taking taylor expansion of (- +nan.0) in im 2.021 * [taylor]: Taking taylor expansion of +nan.0 in im 2.030 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 2.030 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 2.030 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 2.030 * [taylor]: Taking taylor expansion of +nan.0 in im 2.030 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.030 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.030 * [taylor]: Taking taylor expansion of im in im 2.036 * [taylor]: Taking taylor expansion of (- +nan.0) in im 2.036 * [taylor]: Taking taylor expansion of +nan.0 in im 2.038 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 2) 2.039 * [approximate]: Taking taylor expansion of (pow (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 1/3) in (re im) around 0 2.039 * [taylor]: Taking taylor expansion of (pow (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 1/3) in im 2.039 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) in im 2.039 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) in im 2.039 * [taylor]: Taking taylor expansion of 1/3 in im 2.039 * [taylor]: Taking taylor expansion of (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) in im 2.039 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in im 2.039 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 2.039 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in im 2.039 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 2.039 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.039 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.039 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.039 * [taylor]: Taking taylor expansion of (* re re) in im 2.039 * [taylor]: Taking taylor expansion of re in im 2.039 * [taylor]: Taking taylor expansion of re in im 2.039 * [taylor]: Taking taylor expansion of (* im im) in im 2.039 * [taylor]: Taking taylor expansion of im in im 2.039 * [taylor]: Taking taylor expansion of im in im 2.040 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 2.040 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.040 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.040 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.040 * [taylor]: Taking taylor expansion of (* re re) in im 2.040 * [taylor]: Taking taylor expansion of re in im 2.041 * [taylor]: Taking taylor expansion of re in im 2.041 * [taylor]: Taking taylor expansion of (* im im) in im 2.041 * [taylor]: Taking taylor expansion of im in im 2.041 * [taylor]: Taking taylor expansion of im in im 2.042 * [taylor]: Taking taylor expansion of (- re) in im 2.042 * [taylor]: Taking taylor expansion of re in im 2.047 * [taylor]: Taking taylor expansion of (pow (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 1/3) in re 2.048 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) in re 2.048 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) in re 2.048 * [taylor]: Taking taylor expansion of 1/3 in re 2.048 * [taylor]: Taking taylor expansion of (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) in re 2.048 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re 2.048 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 2.048 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 2.048 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 2.048 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.048 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.048 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.048 * [taylor]: Taking taylor expansion of (* re re) in re 2.048 * [taylor]: Taking taylor expansion of re in re 2.048 * [taylor]: Taking taylor expansion of re in re 2.048 * [taylor]: Taking taylor expansion of (* im im) in re 2.048 * [taylor]: Taking taylor expansion of im in re 2.048 * [taylor]: Taking taylor expansion of im in re 2.049 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 2.049 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.049 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.049 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.049 * [taylor]: Taking taylor expansion of (* re re) in re 2.049 * [taylor]: Taking taylor expansion of re in re 2.049 * [taylor]: Taking taylor expansion of re in re 2.049 * [taylor]: Taking taylor expansion of (* im im) in re 2.049 * [taylor]: Taking taylor expansion of im in re 2.049 * [taylor]: Taking taylor expansion of im in re 2.050 * [taylor]: Taking taylor expansion of (- re) in re 2.051 * [taylor]: Taking taylor expansion of re in re 2.051 * [taylor]: Taking taylor expansion of (pow (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 1/3) in re 2.051 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) in re 2.051 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) in re 2.051 * [taylor]: Taking taylor expansion of 1/3 in re 2.051 * [taylor]: Taking taylor expansion of (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) in re 2.051 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re 2.051 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 2.051 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 2.051 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 2.051 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.051 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.051 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.051 * [taylor]: Taking taylor expansion of (* re re) in re 2.051 * [taylor]: Taking taylor expansion of re in re 2.051 * [taylor]: Taking taylor expansion of re in re 2.051 * [taylor]: Taking taylor expansion of (* im im) in re 2.051 * [taylor]: Taking taylor expansion of im in re 2.051 * [taylor]: Taking taylor expansion of im in re 2.052 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 2.053 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.053 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.053 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.053 * [taylor]: Taking taylor expansion of (* re re) in re 2.053 * [taylor]: Taking taylor expansion of re in re 2.053 * [taylor]: Taking taylor expansion of re in re 2.053 * [taylor]: Taking taylor expansion of (* im im) in re 2.053 * [taylor]: Taking taylor expansion of im in re 2.053 * [taylor]: Taking taylor expansion of im in re 2.054 * [taylor]: Taking taylor expansion of (- re) in re 2.054 * [taylor]: Taking taylor expansion of re in re 2.055 * [taylor]: Taking taylor expansion of (pow im 1/3) in im 2.055 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log im))) in im 2.055 * [taylor]: Taking taylor expansion of (* 1/3 (log im)) in im 2.055 * [taylor]: Taking taylor expansion of 1/3 in im 2.055 * [taylor]: Taking taylor expansion of (log im) in im 2.055 * [taylor]: Taking taylor expansion of im in im 2.058 * [taylor]: Taking taylor expansion of (* -1/3 (pow (/ 1 (pow im 2)) 1/3)) in im 2.058 * [taylor]: Taking taylor expansion of -1/3 in im 2.058 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 2)) 1/3) in im 2.058 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 2))))) in im 2.058 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 2)))) in im 2.058 * [taylor]: Taking taylor expansion of 1/3 in im 2.058 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 2))) in im 2.058 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.058 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.058 * [taylor]: Taking taylor expansion of im in im 2.067 * [taylor]: Taking taylor expansion of (* 1/18 (pow (/ 1 (pow im 5)) 1/3)) in im 2.067 * [taylor]: Taking taylor expansion of 1/18 in im 2.067 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im 2.068 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im 2.068 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im 2.068 * [taylor]: Taking taylor expansion of 1/3 in im 2.068 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 2.068 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 2.068 * [taylor]: Taking taylor expansion of (pow im 5) in im 2.068 * [taylor]: Taking taylor expansion of im in im 2.070 * [approximate]: Taking taylor expansion of (pow (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) 1/3) in (re im) around 0 2.070 * [taylor]: Taking taylor expansion of (pow (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) 1/3) in im 2.070 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re)))))) in im 2.070 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))))) in im 2.070 * [taylor]: Taking taylor expansion of 1/3 in im 2.070 * [taylor]: Taking taylor expansion of (log (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re)))) in im 2.070 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in im 2.070 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 2.070 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in im 2.070 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 2.070 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.070 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.070 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.070 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.070 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.071 * [taylor]: Taking taylor expansion of re in im 2.071 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.071 * [taylor]: Taking taylor expansion of re in im 2.071 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.071 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.071 * [taylor]: Taking taylor expansion of im in im 2.071 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.071 * [taylor]: Taking taylor expansion of im in im 2.075 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 2.075 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.075 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.075 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.075 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.075 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.075 * [taylor]: Taking taylor expansion of re in im 2.075 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.075 * [taylor]: Taking taylor expansion of re in im 2.075 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.075 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.075 * [taylor]: Taking taylor expansion of im in im 2.076 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.076 * [taylor]: Taking taylor expansion of im in im 2.079 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in im 2.079 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.079 * [taylor]: Taking taylor expansion of re in im 2.086 * [taylor]: Taking taylor expansion of (pow (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) 1/3) in re 2.087 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re)))))) in re 2.087 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))))) in re 2.087 * [taylor]: Taking taylor expansion of 1/3 in re 2.087 * [taylor]: Taking taylor expansion of (log (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re)))) in re 2.087 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re 2.087 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 2.087 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 2.087 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 2.087 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.087 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.087 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.087 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.087 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.087 * [taylor]: Taking taylor expansion of re in re 2.087 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.087 * [taylor]: Taking taylor expansion of re in re 2.087 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.088 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.088 * [taylor]: Taking taylor expansion of im in re 2.088 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.088 * [taylor]: Taking taylor expansion of im in re 2.091 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 2.091 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.091 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.091 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.091 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.091 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.091 * [taylor]: Taking taylor expansion of re in re 2.091 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.091 * [taylor]: Taking taylor expansion of re in re 2.092 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.092 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.092 * [taylor]: Taking taylor expansion of im in re 2.092 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.092 * [taylor]: Taking taylor expansion of im in re 2.095 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 2.095 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.095 * [taylor]: Taking taylor expansion of re in re 2.098 * [taylor]: Taking taylor expansion of (pow (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) 1/3) in re 2.098 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re)))))) in re 2.098 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))))) in re 2.098 * [taylor]: Taking taylor expansion of 1/3 in re 2.098 * [taylor]: Taking taylor expansion of (log (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re)))) in re 2.098 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re 2.098 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 2.098 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 2.098 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 2.098 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.099 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.099 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.099 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.099 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.099 * [taylor]: Taking taylor expansion of re in re 2.099 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.099 * [taylor]: Taking taylor expansion of re in re 2.099 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.099 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.099 * [taylor]: Taking taylor expansion of im in re 2.099 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.099 * [taylor]: Taking taylor expansion of im in re 2.103 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 2.103 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.103 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.103 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.103 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.103 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.103 * [taylor]: Taking taylor expansion of re in re 2.103 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.103 * [taylor]: Taking taylor expansion of re in re 2.103 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.103 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.103 * [taylor]: Taking taylor expansion of im in re 2.104 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.104 * [taylor]: Taking taylor expansion of im in re 2.107 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 2.107 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.107 * [taylor]: Taking taylor expansion of re in re 2.110 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log re)))) in im 2.110 * [taylor]: Taking taylor expansion of (* 1/3 (- (log -1) (log re))) in im 2.110 * [taylor]: Taking taylor expansion of 1/3 in im 2.110 * [taylor]: Taking taylor expansion of (- (log -1) (log re)) in im 2.110 * [taylor]: Taking taylor expansion of (log -1) in im 2.110 * [taylor]: Taking taylor expansion of -1 in im 2.110 * [taylor]: Taking taylor expansion of (log re) in im 2.110 * [taylor]: Taking taylor expansion of re in im 2.131 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/3 (- (log -1) (log re))))) in im 2.131 * [taylor]: Taking taylor expansion of +nan.0 in im 2.131 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log re)))) in im 2.131 * [taylor]: Taking taylor expansion of (* 1/3 (- (log -1) (log re))) in im 2.131 * [taylor]: Taking taylor expansion of 1/3 in im 2.131 * [taylor]: Taking taylor expansion of (- (log -1) (log re)) in im 2.131 * [taylor]: Taking taylor expansion of (log -1) in im 2.131 * [taylor]: Taking taylor expansion of -1 in im 2.131 * [taylor]: Taking taylor expansion of (log re) in im 2.131 * [taylor]: Taking taylor expansion of re in im 2.159 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/3 (- (log -1) (log re))))) in im 2.159 * [taylor]: Taking taylor expansion of +nan.0 in im 2.159 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log re)))) in im 2.159 * [taylor]: Taking taylor expansion of (* 1/3 (- (log -1) (log re))) in im 2.159 * [taylor]: Taking taylor expansion of 1/3 in im 2.159 * [taylor]: Taking taylor expansion of (- (log -1) (log re)) in im 2.159 * [taylor]: Taking taylor expansion of (log -1) in im 2.159 * [taylor]: Taking taylor expansion of -1 in im 2.159 * [taylor]: Taking taylor expansion of (log re) in im 2.159 * [taylor]: Taking taylor expansion of re in im 2.162 * [approximate]: Taking taylor expansion of (pow (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) 1/3) in (re im) around 0 2.162 * [taylor]: Taking taylor expansion of (pow (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) 1/3) in im 2.162 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re))))) in im 2.162 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)))) in im 2.162 * [taylor]: Taking taylor expansion of 1/3 in im 2.162 * [taylor]: Taking taylor expansion of (log (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re))) in im 2.162 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in im 2.163 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 2.163 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in im 2.163 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 2.163 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.163 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.163 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.163 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.163 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.163 * [taylor]: Taking taylor expansion of -1 in im 2.163 * [taylor]: Taking taylor expansion of re in im 2.163 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.163 * [taylor]: Taking taylor expansion of -1 in im 2.163 * [taylor]: Taking taylor expansion of re in im 2.163 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.163 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.163 * [taylor]: Taking taylor expansion of -1 in im 2.163 * [taylor]: Taking taylor expansion of im in im 2.163 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.163 * [taylor]: Taking taylor expansion of -1 in im 2.163 * [taylor]: Taking taylor expansion of im in im 2.168 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 2.168 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.168 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.168 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.168 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.168 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.168 * [taylor]: Taking taylor expansion of -1 in im 2.168 * [taylor]: Taking taylor expansion of re in im 2.168 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.168 * [taylor]: Taking taylor expansion of -1 in im 2.168 * [taylor]: Taking taylor expansion of re in im 2.168 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.168 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.168 * [taylor]: Taking taylor expansion of -1 in im 2.168 * [taylor]: Taking taylor expansion of im in im 2.168 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.168 * [taylor]: Taking taylor expansion of -1 in im 2.168 * [taylor]: Taking taylor expansion of im in im 2.172 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.172 * [taylor]: Taking taylor expansion of re in im 2.179 * [taylor]: Taking taylor expansion of (pow (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) 1/3) in re 2.179 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re))))) in re 2.179 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)))) in re 2.179 * [taylor]: Taking taylor expansion of 1/3 in re 2.179 * [taylor]: Taking taylor expansion of (log (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re))) in re 2.179 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re 2.179 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 2.179 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 2.179 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 2.179 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.179 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.179 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.179 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.179 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.179 * [taylor]: Taking taylor expansion of -1 in re 2.179 * [taylor]: Taking taylor expansion of re in re 2.179 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.179 * [taylor]: Taking taylor expansion of -1 in re 2.179 * [taylor]: Taking taylor expansion of re in re 2.180 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.180 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.180 * [taylor]: Taking taylor expansion of -1 in re 2.180 * [taylor]: Taking taylor expansion of im in re 2.180 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.180 * [taylor]: Taking taylor expansion of -1 in re 2.180 * [taylor]: Taking taylor expansion of im in re 2.183 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 2.183 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.183 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.183 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.184 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.184 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.184 * [taylor]: Taking taylor expansion of -1 in re 2.184 * [taylor]: Taking taylor expansion of re in re 2.184 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.184 * [taylor]: Taking taylor expansion of -1 in re 2.184 * [taylor]: Taking taylor expansion of re in re 2.184 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.184 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.184 * [taylor]: Taking taylor expansion of -1 in re 2.184 * [taylor]: Taking taylor expansion of im in re 2.184 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.184 * [taylor]: Taking taylor expansion of -1 in re 2.184 * [taylor]: Taking taylor expansion of im in re 2.188 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.188 * [taylor]: Taking taylor expansion of re in re 2.190 * [taylor]: Taking taylor expansion of (pow (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) 1/3) in re 2.190 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re))))) in re 2.190 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)))) in re 2.190 * [taylor]: Taking taylor expansion of 1/3 in re 2.190 * [taylor]: Taking taylor expansion of (log (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re))) in re 2.190 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re 2.190 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 2.190 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 2.190 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) 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 -1 in re 2.190 * [taylor]: Taking taylor expansion of re in re 2.190 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.190 * [taylor]: Taking taylor expansion of -1 in re 2.191 * [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 -1 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 -1 in re 2.191 * [taylor]: Taking taylor expansion of im in re 2.194 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 2.194 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.195 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.195 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.195 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.195 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.195 * [taylor]: Taking taylor expansion of -1 in re 2.195 * [taylor]: Taking taylor expansion of re in re 2.195 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.195 * [taylor]: Taking taylor expansion of -1 in re 2.195 * [taylor]: Taking taylor expansion of re in re 2.195 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.195 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.195 * [taylor]: Taking taylor expansion of -1 in re 2.195 * [taylor]: Taking taylor expansion of im in re 2.195 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.195 * [taylor]: Taking taylor expansion of -1 in re 2.195 * [taylor]: Taking taylor expansion of im in re 2.199 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.199 * [taylor]: Taking taylor expansion of re in re 2.201 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 2.201 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 2.201 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 2.201 * [taylor]: Taking taylor expansion of -1/3 in im 2.201 * [taylor]: Taking taylor expansion of (log re) in im 2.201 * [taylor]: Taking taylor expansion of re in im 2.219 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ 1 re) 1/3)) in im 2.220 * [taylor]: Taking taylor expansion of +nan.0 in im 2.220 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 2.220 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 2.220 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 2.220 * [taylor]: Taking taylor expansion of 1/3 in im 2.220 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 2.220 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.220 * [taylor]: Taking taylor expansion of re in im 2.243 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ 1 re) 1/3)) in im 2.243 * [taylor]: Taking taylor expansion of +nan.0 in im 2.243 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 2.243 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 2.243 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 2.243 * [taylor]: Taking taylor expansion of 1/3 in im 2.243 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 2.243 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.243 * [taylor]: Taking taylor expansion of re in im 2.244 * * * [progress]: simplifying candidates 2.245 * [simplify]: Simplifying using # : (expm1 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (log1p (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (exp (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (* (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (expm1 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (log1p (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (exp (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (* (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (expm1 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (log1p (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (exp (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (* (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (expm1 (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (log1p (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (log (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (exp (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (cbrt (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt 1) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (* (cbrt (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (cbrt (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (* (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (- im re) (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- re +nan.0))) (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- re +nan.0))) (- im re) (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- re +nan.0))) (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- re +nan.0))) (- im re) (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- re +nan.0))) (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- re +nan.0))) (- (+ (pow im 1/3) (* 1/18 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3)))) (* 1/3 (* re (pow (/ 1 (pow im 2)) 1/3)))) (- (exp (* 1/3 (- (log -1) (log (/ 1 re))))) (+ (* +nan.0 (/ (exp (* 1/3 (- (log -1) (log (/ 1 re))))) (pow re 2))) (- (* +nan.0 (/ (exp (* 1/3 (- (log -1) (log (/ 1 re))))) re))))) (- (pow (/ -1 re) -1/3) (+ (* +nan.0 (pow (/ -1 (pow re 5)) 1/3)) (- (* +nan.0 (pow (/ -1 (pow re 2)) 1/3))))) 2.249 * * [simplify]: iteration 0 : 178 enodes (cost 497 ) 2.253 * * [simplify]: iteration 1 : 479 enodes (cost 435 ) 2.261 * * [simplify]: iteration 2 : 1621 enodes (cost 418 ) 2.290 * * [simplify]: iteration 3 : 5001 enodes (cost 395 ) 2.292 * [simplify]: Simplified to: (expm1 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (log1p (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (hypot re im) (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (/ (exp (hypot re im)) (exp re)) (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (pow (- (hypot re im) re) 3) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (expm1 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (log1p (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (hypot re im) (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (/ (exp (hypot re im)) (exp re)) (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (pow (- (hypot re im) re) 3) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (expm1 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (log1p (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (hypot re im) (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (/ (exp (hypot re im)) (exp re)) (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (pow (- (hypot re im) re) 3) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (expm1 (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (log1p (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (log (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (exp (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (cbrt (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt 1) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (* (cbrt (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (cbrt (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (- (hypot re im) re) (sqrt (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (- im re) (+ (- (fma +nan.0 (/ (pow im 2) (pow re 2)) re)) +nan.0) (+ (- (fma +nan.0 (/ (pow im 2) (pow re 2)) re)) +nan.0) (- im re) (+ (- (fma +nan.0 (/ (pow im 2) (pow re 2)) re)) +nan.0) (+ (- (fma +nan.0 (/ (pow im 2) (pow re 2)) re)) +nan.0) (- im re) (+ (- (fma +nan.0 (/ (pow im 2) (pow re 2)) re)) +nan.0) (+ (- (fma +nan.0 (/ (pow im 2) (pow re 2)) re)) +nan.0) (fma (* 1/18 (pow re 2)) (pow (/ 1 (pow im 5)) 1/3) (- (pow im 1/3) (* 1/3 (* re (pow (/ 1 (pow im 2)) 1/3))))) (+ (* (+ (/ +nan.0 re) 1) (* (pow re 1/3) (pow -1 1/3))) (* (- +nan.0) (* (/ (pow -1 1/3) re) (/ (pow re 1/3) re)))) (fma (- +nan.0) (- (pow (/ -1 (pow re 5)) 1/3) (pow (/ -1 (pow re 2)) 1/3)) (pow (/ -1 re) -1/3)) 2.293 * * * [progress]: adding candidates to table 2.548 * [progress]: [Phase 3 of 3] Extracting. 2.548 * * [regime]: Finding splitpoints for: (# # # # # # # #) 2.552 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re) 2.552 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # #) 2.604 * * * * [regimes]: Trying to branch on im from (# # # # # # # #) 2.654 * * * * [regimes]: Trying to branch on re from (# # # # # # # #) 2.712 * * * [regime]: Found split indices: #