2.479 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.025 * * * [progress]: [2/2] Setting up program. 0.027 * [progress]: [Phase 2 of 3] Improving. 0.027 * [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 ) 0.032 * * [simplify]: iteration 2 : 36 enodes (cost 8 ) 0.033 * * [simplify]: iteration 3 : 44 enodes (cost 8 ) 0.035 * * [simplify]: iteration 4 : 46 enodes (cost 8 ) 0.036 * * [simplify]: iteration 5 : 46 enodes (cost 8 ) 0.036 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.037 * * [progress]: iteration 1 / 4 0.037 * * * [progress]: picking best candidate 0.039 * * * * [pick]: Picked # 0.039 * * * [progress]: localizing error 0.053 * * * [progress]: generating rewritten candidates 0.053 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1) 0.057 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.079 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.108 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1) 0.113 * * * [progress]: generating series expansions 0.113 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 0.113 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.113 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.113 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.113 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.113 * [taylor]: Taking taylor expansion of re in im 0.113 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.113 * [taylor]: Taking taylor expansion of im in im 0.115 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.115 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.115 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.115 * [taylor]: Taking taylor expansion of re in re 0.115 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.115 * [taylor]: Taking taylor expansion of im in re 0.116 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.116 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.116 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.116 * [taylor]: Taking taylor expansion of re in re 0.116 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.116 * [taylor]: Taking taylor expansion of im in re 0.116 * [taylor]: Taking taylor expansion of im in im 0.116 * [taylor]: Taking taylor expansion of 0 in im 0.118 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.118 * [taylor]: Taking taylor expansion of 1/2 in im 0.118 * [taylor]: Taking taylor expansion of im in im 0.120 * [taylor]: Taking taylor expansion of 0 in im 0.121 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.121 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.121 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.121 * [taylor]: Taking taylor expansion of im in im 0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.121 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.121 * [taylor]: Taking taylor expansion of re in im 0.123 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.123 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.123 * [taylor]: Taking taylor expansion of im in re 0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.123 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.123 * [taylor]: Taking taylor expansion of re in re 0.126 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.126 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.126 * [taylor]: Taking taylor expansion of im in re 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.126 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.126 * [taylor]: Taking taylor expansion of re in re 0.128 * [taylor]: Taking taylor expansion of 1 in im 0.128 * [taylor]: Taking taylor expansion of 0 in im 0.134 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.134 * [taylor]: Taking taylor expansion of 1/2 in im 0.134 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.134 * [taylor]: Taking taylor expansion of im in im 0.137 * [taylor]: Taking taylor expansion of 0 in im 0.139 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.139 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.139 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow im 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 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.139 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.139 * [taylor]: Taking taylor expansion of re in im 0.141 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.141 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.141 * [taylor]: Taking taylor expansion of im in re 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.141 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.141 * [taylor]: Taking taylor expansion of re in re 0.144 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.144 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.144 * [taylor]: Taking taylor expansion of im in re 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow re 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 0.146 * [taylor]: Taking taylor expansion of 1 in im 0.146 * [taylor]: Taking taylor expansion of 0 in im 0.148 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.148 * [taylor]: Taking taylor expansion of 1/2 in im 0.148 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.148 * [taylor]: Taking taylor expansion of im in im 0.151 * [taylor]: Taking taylor expansion of 0 in im 0.152 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.152 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 0.152 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.152 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.152 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.152 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.153 * [taylor]: Taking taylor expansion of re in im 0.153 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.153 * [taylor]: Taking taylor expansion of im in im 0.153 * [taylor]: Taking taylor expansion of re in im 0.153 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.153 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.153 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.153 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.153 * [taylor]: Taking taylor expansion of re in re 0.153 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.153 * [taylor]: Taking taylor expansion of im in re 0.154 * [taylor]: Taking taylor expansion of re in re 0.154 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.154 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.154 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.154 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.154 * [taylor]: Taking taylor expansion of re 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 re in re 0.155 * [taylor]: Taking taylor expansion of im in im 0.155 * [taylor]: Taking taylor expansion of -1 in im 0.157 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.157 * [taylor]: Taking taylor expansion of 1/2 in im 0.157 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.157 * [taylor]: Taking taylor expansion of im in im 0.159 * [taylor]: Taking taylor expansion of 0 in im 0.161 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.161 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.161 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.161 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.161 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.161 * [taylor]: Taking taylor expansion of im in im 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.161 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.161 * [taylor]: Taking taylor expansion of re in im 0.163 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.163 * [taylor]: Taking taylor expansion of re in im 0.163 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.163 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.163 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.163 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.163 * [taylor]: Taking taylor expansion of im in re 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.163 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.163 * [taylor]: Taking taylor expansion of re in re 0.166 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.166 * [taylor]: Taking taylor expansion of re in re 0.166 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.166 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.166 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.166 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.166 * [taylor]: Taking taylor expansion of im in re 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.166 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.166 * [taylor]: Taking taylor expansion of re in re 0.169 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.169 * [taylor]: Taking taylor expansion of re in re 0.170 * [taylor]: Taking taylor expansion of 0 in im 0.170 * [taylor]: Taking taylor expansion of 0 in im 0.173 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.173 * [taylor]: Taking taylor expansion of 1/2 in im 0.173 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.173 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.173 * [taylor]: Taking taylor expansion of im in im 0.177 * [taylor]: Taking taylor expansion of 0 in im 0.179 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.179 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.179 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.179 * [taylor]: Taking taylor expansion of re in im 0.179 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.179 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.179 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.179 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.179 * [taylor]: Taking taylor expansion of im in im 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.180 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.180 * [taylor]: Taking taylor expansion of re in im 0.182 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.182 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.182 * [taylor]: Taking taylor expansion of re in re 0.182 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.182 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.182 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.182 * [taylor]: Taking taylor expansion of im in re 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.182 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.182 * [taylor]: Taking taylor expansion of re in re 0.185 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.185 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.185 * [taylor]: Taking taylor expansion of re in re 0.185 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.185 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.185 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.185 * [taylor]: Taking taylor expansion of im in re 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.185 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.185 * [taylor]: Taking taylor expansion of re in re 0.188 * [taylor]: Taking taylor expansion of 2 in im 0.188 * [taylor]: Taking taylor expansion of 0 in im 0.191 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.191 * [taylor]: Taking taylor expansion of 1/2 in im 0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.191 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.191 * [taylor]: Taking taylor expansion of im in im 0.195 * [taylor]: Taking taylor expansion of 0 in im 0.196 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.197 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in (re im) around 0 0.197 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im 0.197 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.197 * [taylor]: Taking taylor expansion of 2.0 in im 0.197 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 0.197 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.197 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.197 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.197 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.197 * [taylor]: Taking taylor expansion of re in im 0.197 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.197 * [taylor]: Taking taylor expansion of im in im 0.198 * [taylor]: Taking taylor expansion of re in im 0.202 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.202 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.202 * [taylor]: Taking taylor expansion of 2.0 in re 0.202 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.202 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.202 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.202 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.202 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.202 * [taylor]: Taking taylor expansion of re in re 0.202 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.202 * [taylor]: Taking taylor expansion of im in re 0.203 * [taylor]: Taking taylor expansion of re in re 0.204 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.204 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.204 * [taylor]: Taking taylor expansion of 2.0 in re 0.204 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.204 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.204 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.204 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.204 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.205 * [taylor]: Taking taylor expansion of re in re 0.205 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.205 * [taylor]: Taking taylor expansion of im in re 0.205 * [taylor]: Taking taylor expansion of re in re 0.206 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.206 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.206 * [taylor]: Taking taylor expansion of 2.0 in im 0.207 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.207 * [taylor]: Taking taylor expansion of im in im 0.210 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 0.210 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.210 * [taylor]: Taking taylor expansion of 1/2 in im 0.211 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.211 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.211 * [taylor]: Taking taylor expansion of 2.0 in im 0.211 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.211 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.211 * [taylor]: Taking taylor expansion of im in im 0.235 * [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 0.235 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.235 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.235 * [taylor]: Taking taylor expansion of 2.0 in im 0.235 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.235 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.235 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.235 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.235 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.235 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.235 * [taylor]: Taking taylor expansion of im in im 0.236 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.236 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.236 * [taylor]: Taking taylor expansion of re in im 0.238 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.238 * [taylor]: Taking taylor expansion of re in im 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 0.240 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.240 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.240 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.240 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.240 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.240 * [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 0.247 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.247 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.247 * [taylor]: Taking taylor expansion of 2.0 in re 0.248 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.248 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.248 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.248 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.248 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.248 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.248 * [taylor]: Taking taylor expansion of im in re 0.248 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.248 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.248 * [taylor]: Taking taylor expansion of re in re 0.250 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.250 * [taylor]: Taking taylor expansion of re in re 0.255 * [taylor]: Taking taylor expansion of 0 in im 0.256 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.256 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.256 * [taylor]: Taking taylor expansion of +nan.0 in im 0.256 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.256 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.256 * [taylor]: Taking taylor expansion of 2.0 in im 0.257 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.257 * [taylor]: Taking taylor expansion of im in im 0.264 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.264 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.264 * [taylor]: Taking taylor expansion of +nan.0 in im 0.264 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.264 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.264 * [taylor]: Taking taylor expansion of 2.0 in im 0.264 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.264 * [taylor]: Taking taylor expansion of im in im 0.280 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.280 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.280 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.280 * [taylor]: Taking taylor expansion of +nan.0 in im 0.280 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.280 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.280 * [taylor]: Taking taylor expansion of 2.0 in im 0.281 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.281 * [taylor]: Taking taylor expansion of im in im 0.282 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.282 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.282 * [taylor]: Taking taylor expansion of +nan.0 in im 0.282 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.282 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.282 * [taylor]: Taking taylor expansion of 2.0 in im 0.283 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.283 * [taylor]: Taking taylor expansion of im in im 0.307 * [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 0.307 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.307 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.308 * [taylor]: Taking taylor expansion of 2.0 in im 0.308 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.308 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.308 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.308 * [taylor]: Taking taylor expansion of re in im 0.308 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.308 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.308 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.308 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.308 * [taylor]: Taking taylor expansion of im in im 0.309 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.309 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.309 * [taylor]: Taking taylor expansion of re in im 0.312 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.312 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.312 * [taylor]: Taking taylor expansion of 2.0 in re 0.313 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.313 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.313 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.313 * [taylor]: Taking taylor expansion of re in re 0.313 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.313 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.313 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.313 * [taylor]: Taking taylor expansion of im in re 0.314 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.314 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.314 * [taylor]: Taking taylor expansion of re in re 0.317 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.317 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.317 * [taylor]: Taking taylor expansion of 2.0 in re 0.318 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.318 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.318 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.318 * [taylor]: Taking taylor expansion of re in re 0.318 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.318 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.318 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.318 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.318 * [taylor]: Taking taylor expansion of im in re 0.319 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.319 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.319 * [taylor]: Taking taylor expansion of re in re 0.322 * [taylor]: Taking taylor expansion of 0 in im 0.324 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.324 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.324 * [taylor]: Taking taylor expansion of +nan.0 in im 0.324 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.324 * [taylor]: Taking taylor expansion of 2.0 in im 0.329 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.329 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.329 * [taylor]: Taking taylor expansion of +nan.0 in im 0.329 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.329 * [taylor]: Taking taylor expansion of 2.0 in im 0.337 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.337 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.337 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.337 * [taylor]: Taking taylor expansion of +nan.0 in im 0.337 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.337 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.337 * [taylor]: Taking taylor expansion of 2.0 in im 0.338 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.338 * [taylor]: Taking taylor expansion of im in im 0.338 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.338 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.339 * [taylor]: Taking taylor expansion of +nan.0 in im 0.339 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.339 * [taylor]: Taking taylor expansion of 2.0 in im 0.349 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.349 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.349 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.349 * [taylor]: Taking taylor expansion of +nan.0 in im 0.349 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.349 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.349 * [taylor]: Taking taylor expansion of 2.0 in im 0.350 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.350 * [taylor]: Taking taylor expansion of im in im 0.351 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.351 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.351 * [taylor]: Taking taylor expansion of +nan.0 in im 0.351 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.351 * [taylor]: Taking taylor expansion of 2.0 in im 0.364 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1) 0.364 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.364 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.364 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.364 * [taylor]: Taking taylor expansion of re in im 0.364 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.364 * [taylor]: Taking taylor expansion of im in im 0.364 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.364 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.364 * [taylor]: Taking taylor expansion of re in re 0.364 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.364 * [taylor]: Taking taylor expansion of im in re 0.364 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.364 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.364 * [taylor]: Taking taylor expansion of re in re 0.364 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.364 * [taylor]: Taking taylor expansion of im in re 0.364 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.364 * [taylor]: Taking taylor expansion of im in im 0.364 * [taylor]: Taking taylor expansion of 0 in im 0.365 * [taylor]: Taking taylor expansion of 1 in im 0.367 * [taylor]: Taking taylor expansion of 0 in im 0.369 * [taylor]: Taking taylor expansion of 0 in im 0.369 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.369 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.369 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.369 * [taylor]: Taking taylor expansion of im in im 0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.370 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.370 * [taylor]: Taking taylor expansion of re in im 0.370 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.370 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.370 * [taylor]: Taking taylor expansion of im in re 0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.370 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.370 * [taylor]: Taking taylor expansion of re in re 0.370 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.370 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.370 * [taylor]: Taking taylor expansion of im in re 0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.371 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.371 * [taylor]: Taking taylor expansion of re in re 0.371 * [taylor]: Taking taylor expansion of 1 in im 0.372 * [taylor]: Taking taylor expansion of 0 in im 0.373 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.373 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.373 * [taylor]: Taking taylor expansion of im in im 0.375 * [taylor]: Taking taylor expansion of 0 in im 0.380 * [taylor]: Taking taylor expansion of 0 in im 0.382 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.382 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.382 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.382 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.382 * [taylor]: Taking taylor expansion of im in im 0.382 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.383 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.383 * [taylor]: Taking taylor expansion of re in im 0.383 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.383 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.383 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.383 * [taylor]: Taking taylor expansion of im in re 0.383 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.383 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.383 * [taylor]: Taking taylor expansion of re in re 0.383 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.383 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.383 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.383 * [taylor]: Taking taylor expansion of im in re 0.384 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.384 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.384 * [taylor]: Taking taylor expansion of re in re 0.384 * [taylor]: Taking taylor expansion of 1 in im 0.385 * [taylor]: Taking taylor expansion of 0 in im 0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.386 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.386 * [taylor]: Taking taylor expansion of im in im 0.388 * [taylor]: Taking taylor expansion of 0 in im 0.391 * [taylor]: Taking taylor expansion of 0 in im 0.392 * * * [progress]: simplifying candidates 0.395 * [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)))) (expm1 (+ (* re re) (* im im))) (log1p (+ (* re re) (* im im))) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) im re (* -1 re) (- 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))))))) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 0.400 * * [simplify]: iteration 0 : 342 enodes (cost 834 ) 0.407 * * [simplify]: iteration 1 : 1366 enodes (cost 586 ) 0.435 * * [simplify]: iteration 2 : 5001 enodes (cost 533 ) 0.438 * [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)))) (expm1 (+ (* re re) (* im im))) (log1p (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (pow (hypot re im) 6) (hypot re im) (hypot re im) (fma (* (pow im 4) im) im (pow re 6)) (fma im (- (pow im 3) (* (pow re 2) im)) (pow re 4)) (fma (- (pow im 3)) im (pow re 4)) (- (* re re) (* im im)) im re (* -1 re) (- 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)))) (fma re re (* im im)) (fma re re (* im im)) (fma re re (* im im)) 0.439 * * * [progress]: adding candidates to table 0.662 * * [progress]: iteration 2 / 4 0.662 * * * [progress]: picking best candidate 0.669 * * * * [pick]: Picked # 0.669 * * * [progress]: localizing error 0.677 * * * [progress]: generating rewritten candidates 0.677 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 2 1) 0.681 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.692 * * * [progress]: generating series expansions 0.692 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 2 1) 0.692 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 0.693 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 0.693 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.694 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.694 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.694 * [taylor]: Taking taylor expansion of (* re re) in im 0.694 * [taylor]: Taking taylor expansion of re in im 0.694 * [taylor]: Taking taylor expansion of re in im 0.694 * [taylor]: Taking taylor expansion of (* im im) in im 0.694 * [taylor]: Taking taylor expansion of im in im 0.694 * [taylor]: Taking taylor expansion of im in im 0.695 * [taylor]: Taking taylor expansion of re in im 0.695 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.695 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.695 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.695 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.695 * [taylor]: Taking taylor expansion of (* re re) in re 0.695 * [taylor]: Taking taylor expansion of re in re 0.695 * [taylor]: Taking taylor expansion of re in re 0.696 * [taylor]: Taking taylor expansion of (* im im) in re 0.696 * [taylor]: Taking taylor expansion of im in re 0.696 * [taylor]: Taking taylor expansion of im in re 0.697 * [taylor]: Taking taylor expansion of 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 0.698 * [taylor]: Taking taylor expansion of im in im 0.699 * [taylor]: Taking taylor expansion of -1 in im 0.701 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.701 * [taylor]: Taking taylor expansion of 1/2 in im 0.701 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.701 * [taylor]: Taking taylor expansion of im in im 0.703 * [taylor]: Taking taylor expansion of 0 in im 0.705 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 0.705 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.705 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.705 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.705 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.705 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.705 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.705 * [taylor]: Taking taylor expansion of re in im 0.705 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.705 * [taylor]: Taking taylor expansion of re in im 0.705 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.705 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.705 * [taylor]: Taking taylor expansion of im in im 0.705 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.705 * [taylor]: Taking taylor expansion of im in im 0.708 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.708 * [taylor]: Taking taylor expansion of re in im 0.708 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.708 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.708 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.708 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.708 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.708 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.708 * [taylor]: Taking taylor expansion of re in re 0.709 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.709 * [taylor]: Taking taylor expansion of re in re 0.709 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.709 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.709 * [taylor]: Taking taylor expansion of im in re 0.709 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.709 * [taylor]: Taking taylor expansion of im in re 0.711 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.711 * [taylor]: Taking taylor expansion of re in re 0.712 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.712 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.712 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.712 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.712 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.712 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.712 * [taylor]: Taking taylor expansion of re in re 0.712 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.712 * [taylor]: Taking taylor expansion of re in re 0.712 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.712 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.712 * [taylor]: Taking taylor expansion of im in re 0.712 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.712 * [taylor]: Taking taylor expansion of im in re 0.715 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.715 * [taylor]: Taking taylor expansion of re in re 0.716 * [taylor]: Taking taylor expansion of 0 in im 0.717 * [taylor]: Taking taylor expansion of 0 in im 0.724 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.724 * [taylor]: Taking taylor expansion of 1/2 in im 0.724 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.724 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.724 * [taylor]: Taking taylor expansion of im in im 0.729 * [taylor]: Taking taylor expansion of 0 in im 0.730 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 0.730 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 0.730 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.730 * [taylor]: Taking taylor expansion of re in im 0.730 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.731 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.731 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.731 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.731 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.731 * [taylor]: Taking taylor expansion of -1 in im 0.731 * [taylor]: Taking taylor expansion of re in im 0.731 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.731 * [taylor]: Taking taylor expansion of -1 in im 0.731 * [taylor]: Taking taylor expansion of re in im 0.731 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.731 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.731 * [taylor]: Taking taylor expansion of -1 in im 0.731 * [taylor]: Taking taylor expansion of im in im 0.731 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.731 * [taylor]: Taking taylor expansion of -1 in im 0.731 * [taylor]: Taking taylor expansion of im in im 0.734 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 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 (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 -1 in re 0.734 * [taylor]: Taking taylor expansion of re in re 0.735 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.735 * [taylor]: Taking taylor expansion of -1 in re 0.735 * [taylor]: Taking taylor expansion of re in re 0.735 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.735 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.735 * [taylor]: Taking taylor expansion of -1 in re 0.735 * [taylor]: Taking taylor expansion of im in re 0.735 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.735 * [taylor]: Taking taylor expansion of -1 in re 0.735 * [taylor]: Taking taylor expansion of im in re 0.738 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.738 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.738 * [taylor]: Taking taylor expansion of re in re 0.738 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.738 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.738 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.738 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.738 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.738 * [taylor]: Taking taylor expansion of -1 in re 0.738 * [taylor]: Taking taylor expansion of re in re 0.738 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.738 * [taylor]: Taking taylor expansion of -1 in re 0.738 * [taylor]: Taking taylor expansion of re in re 0.739 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.739 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.739 * [taylor]: Taking taylor expansion of -1 in re 0.739 * [taylor]: Taking taylor expansion of im in re 0.739 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.739 * [taylor]: Taking taylor expansion of -1 in re 0.739 * [taylor]: Taking taylor expansion of im in re 0.742 * [taylor]: Taking taylor expansion of 2 in im 0.742 * [taylor]: Taking taylor expansion of 0 in im 0.745 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.745 * [taylor]: Taking taylor expansion of 1/2 in im 0.745 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.745 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.745 * [taylor]: Taking taylor expansion of im in im 0.750 * [taylor]: Taking taylor expansion of 0 in im 0.752 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.752 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in (re im) around 0 0.752 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in im 0.752 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.752 * [taylor]: Taking taylor expansion of 2.0 in im 0.752 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in im 0.752 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 0.752 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.753 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.753 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.753 * [taylor]: Taking taylor expansion of (* re re) in im 0.753 * [taylor]: Taking taylor expansion of re in im 0.753 * [taylor]: Taking taylor expansion of re in im 0.753 * [taylor]: Taking taylor expansion of (* im im) in im 0.753 * [taylor]: Taking taylor expansion of im in im 0.753 * [taylor]: Taking taylor expansion of im in im 0.754 * [taylor]: Taking taylor expansion of re in im 0.758 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 0.758 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.758 * [taylor]: Taking taylor expansion of 2.0 in re 0.759 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 0.759 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.759 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.759 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.759 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.759 * [taylor]: Taking taylor expansion of (* re re) in re 0.759 * [taylor]: Taking taylor expansion of re in re 0.759 * [taylor]: Taking taylor expansion of re in re 0.759 * [taylor]: Taking taylor expansion of (* im im) in re 0.759 * [taylor]: Taking taylor expansion of im in re 0.759 * [taylor]: Taking taylor expansion of im in re 0.760 * [taylor]: Taking taylor expansion of re in re 0.761 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 0.761 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.761 * [taylor]: Taking taylor expansion of 2.0 in re 0.761 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 0.761 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.761 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.762 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.762 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.762 * [taylor]: Taking taylor expansion of (* re re) in re 0.762 * [taylor]: Taking taylor expansion of re in re 0.762 * [taylor]: Taking taylor expansion of re in re 0.762 * [taylor]: Taking taylor expansion of (* im im) in re 0.762 * [taylor]: Taking taylor expansion of im in re 0.762 * [taylor]: Taking taylor expansion of im in re 0.763 * [taylor]: Taking taylor expansion of re in re 0.764 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.764 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.764 * [taylor]: Taking taylor expansion of 2.0 in im 0.765 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.765 * [taylor]: Taking taylor expansion of im in im 0.768 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 0.768 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.768 * [taylor]: Taking taylor expansion of 1/2 in im 0.768 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.768 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.768 * [taylor]: Taking taylor expansion of 2.0 in im 0.769 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.769 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.769 * [taylor]: Taking taylor expansion of im in im 0.789 * [approximate]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 0.789 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im 0.789 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 0.789 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.789 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.789 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.789 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.789 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.789 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.789 * [taylor]: Taking taylor expansion of re in im 0.789 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.789 * [taylor]: Taking taylor expansion of re in im 0.789 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.789 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.789 * [taylor]: Taking taylor expansion of im in im 0.789 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.789 * [taylor]: Taking taylor expansion of im in im 0.792 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.792 * [taylor]: Taking taylor expansion of re in im 0.793 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.793 * [taylor]: Taking taylor expansion of 2.0 in im 0.794 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 0.794 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 0.794 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.794 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.794 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.794 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.794 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.794 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.794 * [taylor]: Taking taylor expansion of re in re 0.794 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.794 * [taylor]: Taking taylor expansion of re in re 0.795 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.795 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.795 * [taylor]: Taking taylor expansion of im in re 0.795 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.795 * [taylor]: Taking taylor expansion of im in re 0.797 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.797 * [taylor]: Taking taylor expansion of re in re 0.802 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.802 * [taylor]: Taking taylor expansion of 2.0 in re 0.808 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 0.808 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 0.808 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.808 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.808 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.808 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.808 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.808 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.808 * [taylor]: Taking taylor expansion of re in re 0.809 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.809 * [taylor]: Taking taylor expansion of re in re 0.809 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.809 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.809 * [taylor]: Taking taylor expansion of im in re 0.809 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.809 * [taylor]: Taking taylor expansion of im in re 0.812 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.812 * [taylor]: Taking taylor expansion of re in re 0.817 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.817 * [taylor]: Taking taylor expansion of 2.0 in re 0.818 * [taylor]: Taking taylor expansion of 0 in im 0.819 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.819 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.819 * [taylor]: Taking taylor expansion of +nan.0 in im 0.819 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.819 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.819 * [taylor]: Taking taylor expansion of 2.0 in im 0.819 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.819 * [taylor]: Taking taylor expansion of im in im 0.827 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.827 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.827 * [taylor]: Taking taylor expansion of +nan.0 in im 0.827 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.827 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.827 * [taylor]: Taking taylor expansion of 2.0 in im 0.828 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.828 * [taylor]: Taking taylor expansion of im in im 0.843 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.844 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.844 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.844 * [taylor]: Taking taylor expansion of +nan.0 in im 0.844 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.844 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.844 * [taylor]: Taking taylor expansion of 2.0 in im 0.844 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.844 * [taylor]: Taking taylor expansion of im in im 0.845 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.845 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.845 * [taylor]: Taking taylor expansion of +nan.0 in im 0.845 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.845 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.845 * [taylor]: Taking taylor expansion of 2.0 in im 0.846 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.846 * [taylor]: Taking taylor expansion of im in im 0.868 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in (re im) around 0 0.868 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in im 0.868 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.868 * [taylor]: Taking taylor expansion of 2.0 in im 0.869 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in im 0.869 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 0.869 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.869 * [taylor]: Taking taylor expansion of re in im 0.869 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.869 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.869 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.869 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.869 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.869 * [taylor]: Taking taylor expansion of -1 in im 0.869 * [taylor]: Taking taylor expansion of re in im 0.869 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.869 * [taylor]: Taking taylor expansion of -1 in im 0.869 * [taylor]: Taking taylor expansion of re in im 0.869 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.869 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.869 * [taylor]: Taking taylor expansion of -1 in im 0.869 * [taylor]: Taking taylor expansion of im in im 0.870 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.870 * [taylor]: Taking taylor expansion of -1 in im 0.870 * [taylor]: Taking taylor expansion of im in im 0.874 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 0.874 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.874 * [taylor]: Taking taylor expansion of 2.0 in re 0.874 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 0.874 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.874 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.874 * [taylor]: Taking taylor expansion of re in re 0.875 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.875 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.875 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.875 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.875 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.875 * [taylor]: Taking taylor expansion of -1 in re 0.875 * [taylor]: Taking taylor expansion of re in re 0.875 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.875 * [taylor]: Taking taylor expansion of -1 in re 0.875 * [taylor]: Taking taylor expansion of re in re 0.875 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.876 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.876 * [taylor]: Taking taylor expansion of -1 in re 0.876 * [taylor]: Taking taylor expansion of im in re 0.876 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.876 * [taylor]: Taking taylor expansion of -1 in re 0.876 * [taylor]: Taking taylor expansion of im in re 0.879 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 0.879 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.879 * [taylor]: Taking taylor expansion of 2.0 in re 0.880 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 0.880 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.880 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.880 * [taylor]: Taking taylor expansion of re in re 0.880 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.880 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.880 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.880 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.880 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.880 * [taylor]: Taking taylor expansion of -1 in re 0.880 * [taylor]: Taking taylor expansion of re in re 0.881 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.881 * [taylor]: Taking taylor expansion of -1 in re 0.881 * [taylor]: Taking taylor expansion of re in re 0.881 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.881 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.881 * [taylor]: Taking taylor expansion of -1 in re 0.881 * [taylor]: Taking taylor expansion of im in re 0.881 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.881 * [taylor]: Taking taylor expansion of -1 in re 0.881 * [taylor]: Taking taylor expansion of im in re 0.890 * [taylor]: Taking taylor expansion of 0 in im 0.891 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.891 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.891 * [taylor]: Taking taylor expansion of +nan.0 in im 0.891 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.891 * [taylor]: Taking taylor expansion of 2.0 in im 0.896 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.896 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.896 * [taylor]: Taking taylor expansion of +nan.0 in im 0.896 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.896 * [taylor]: Taking taylor expansion of 2.0 in im 0.905 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.905 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.905 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.905 * [taylor]: Taking taylor expansion of +nan.0 in im 0.905 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.905 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.905 * [taylor]: Taking taylor expansion of 2.0 in im 0.906 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.906 * [taylor]: Taking taylor expansion of im in im 0.907 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.907 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.907 * [taylor]: Taking taylor expansion of +nan.0 in im 0.907 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.907 * [taylor]: Taking taylor expansion of 2.0 in im 0.918 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.918 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.918 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.918 * [taylor]: Taking taylor expansion of +nan.0 in im 0.918 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.918 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.918 * [taylor]: Taking taylor expansion of 2.0 in im 0.919 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.919 * [taylor]: Taking taylor expansion of im in im 0.920 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.920 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.920 * [taylor]: Taking taylor expansion of +nan.0 in im 0.920 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.920 * [taylor]: Taking taylor expansion of 2.0 in im 0.932 * * * [progress]: simplifying candidates 0.934 * [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))))))) 0.938 * * [simplify]: iteration 0 : 273 enodes (cost 321 ) 0.943 * * [simplify]: iteration 1 : 1082 enodes (cost 232 ) 0.976 * * [simplify]: iteration 2 : 5001 enodes (cost 228 ) 0.978 * [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)))) 0.978 * * * [progress]: adding candidates to table 1.089 * * [progress]: iteration 3 / 4 1.089 * * * [progress]: picking best candidate 1.099 * * * * [pick]: Picked # 1.099 * * * [progress]: localizing error 1.110 * * * [progress]: generating rewritten candidates 1.110 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 2 1) 1.110 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 1.118 * * * [progress]: generating series expansions 1.118 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 2 1) 1.118 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in (re im) around 0 1.118 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in im 1.118 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 1.118 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in im 1.118 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 1.118 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.118 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.119 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.119 * [taylor]: Taking taylor expansion of (* re re) in im 1.119 * [taylor]: Taking taylor expansion of re in im 1.119 * [taylor]: Taking taylor expansion of re in im 1.119 * [taylor]: Taking taylor expansion of (* im im) in im 1.119 * [taylor]: Taking taylor expansion of im in im 1.119 * [taylor]: Taking taylor expansion of im in im 1.120 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 1.120 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.120 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.120 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.120 * [taylor]: Taking taylor expansion of (* re re) in im 1.120 * [taylor]: Taking taylor expansion of re in im 1.120 * [taylor]: Taking taylor expansion of re in im 1.120 * [taylor]: Taking taylor expansion of (* im im) in im 1.120 * [taylor]: Taking taylor expansion of im in im 1.120 * [taylor]: Taking taylor expansion of im in im 1.122 * [taylor]: Taking taylor expansion of (- re) in im 1.122 * [taylor]: Taking taylor expansion of re in im 1.122 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re 1.122 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 1.122 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 1.122 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.122 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.122 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.122 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.122 * [taylor]: Taking taylor expansion of (* re re) in re 1.122 * [taylor]: Taking taylor expansion of re in re 1.122 * [taylor]: Taking taylor expansion of re in re 1.122 * [taylor]: Taking taylor expansion of (* im im) in re 1.122 * [taylor]: Taking taylor expansion of im in re 1.122 * [taylor]: Taking taylor expansion of im in re 1.123 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.123 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.123 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.123 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.123 * [taylor]: Taking taylor expansion of (* re re) in re 1.123 * [taylor]: Taking taylor expansion of re in re 1.123 * [taylor]: Taking taylor expansion of re in re 1.123 * [taylor]: Taking taylor expansion of (* im im) in re 1.123 * [taylor]: Taking taylor expansion of im in re 1.124 * [taylor]: Taking taylor expansion of im in re 1.125 * [taylor]: Taking taylor expansion of (- re) in re 1.125 * [taylor]: Taking taylor expansion of re in re 1.125 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re 1.125 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 1.125 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 1.125 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.125 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.125 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.125 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.125 * [taylor]: Taking taylor expansion of (* re re) in re 1.125 * [taylor]: Taking taylor expansion of re in re 1.125 * [taylor]: Taking taylor expansion of re in re 1.125 * [taylor]: Taking taylor expansion of (* im im) in re 1.125 * [taylor]: Taking taylor expansion of im in re 1.125 * [taylor]: Taking taylor expansion of im in re 1.126 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.126 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.126 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.126 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.126 * [taylor]: Taking taylor expansion of (* re re) in re 1.126 * [taylor]: Taking taylor expansion of re in re 1.126 * [taylor]: Taking taylor expansion of re in re 1.126 * [taylor]: Taking taylor expansion of (* im im) in re 1.126 * [taylor]: Taking taylor expansion of im in re 1.126 * [taylor]: Taking taylor expansion of im in re 1.128 * [taylor]: Taking taylor expansion of (- re) in re 1.128 * [taylor]: Taking taylor expansion of re in re 1.128 * [taylor]: Taking taylor expansion of im in im 1.129 * [taylor]: Taking taylor expansion of -1 in im 1.133 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.133 * [taylor]: Taking taylor expansion of 1/2 in im 1.133 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.133 * [taylor]: Taking taylor expansion of im in im 1.138 * [taylor]: Taking taylor expansion of 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 1.140 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.140 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.140 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.140 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.140 * [taylor]: Taking taylor expansion of re in im 1.140 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.140 * [taylor]: Taking taylor expansion of re in im 1.140 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.140 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.140 * [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 im in im 1.144 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 1.144 * [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 re in im 1.144 * [taylor]: Taking taylor expansion of (/ 1 re) 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 im in im 1.144 * [taylor]: Taking taylor expansion of (/ 1 im) 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 (/ 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 re in re 1.149 * [taylor]: Taking taylor expansion of (/ 1 re) 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 im in re 1.149 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.149 * [taylor]: Taking taylor expansion of im in re 1.152 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.152 * [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 re in re 1.153 * [taylor]: Taking taylor expansion of (/ 1 re) 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 im in re 1.153 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.153 * [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 (/ 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 1.157 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.157 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.157 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.157 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.157 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.157 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.157 * [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 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 im in re 1.158 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.158 * [taylor]: Taking taylor expansion of im in re 1.161 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.161 * [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 re in re 1.162 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.162 * [taylor]: Taking taylor expansion of re in re 1.162 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.162 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.162 * [taylor]: Taking taylor expansion of im in re 1.162 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.162 * [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 (/ 1 re) in re 1.166 * [taylor]: Taking taylor expansion of re in re 1.166 * [taylor]: Taking taylor expansion of 0 in im 1.167 * [taylor]: Taking taylor expansion of -1 in im 1.173 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.173 * [taylor]: Taking taylor expansion of +nan.0 in im 1.182 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.182 * [taylor]: Taking taylor expansion of +nan.0 in im 1.191 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 1.191 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 1.191 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 1.191 * [taylor]: Taking taylor expansion of +nan.0 in im 1.191 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.191 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.191 * [taylor]: Taking taylor expansion of im in im 1.192 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.192 * [taylor]: Taking taylor expansion of +nan.0 in im 1.194 * [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 1.194 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in im 1.194 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 1.194 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in im 1.194 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 1.194 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.194 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.194 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.194 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.195 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.195 * [taylor]: Taking taylor expansion of -1 in im 1.195 * [taylor]: Taking taylor expansion of re in im 1.195 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.195 * [taylor]: Taking taylor expansion of -1 in im 1.195 * [taylor]: Taking taylor expansion of re in im 1.195 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.195 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.195 * [taylor]: Taking taylor expansion of -1 in im 1.195 * [taylor]: Taking taylor expansion of im in im 1.195 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.195 * [taylor]: Taking taylor expansion of -1 in im 1.195 * [taylor]: Taking taylor expansion of im in im 1.203 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 1.203 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.203 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.204 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.204 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.204 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.204 * [taylor]: Taking taylor expansion of -1 in im 1.204 * [taylor]: Taking taylor expansion of re in im 1.204 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.204 * [taylor]: Taking taylor expansion of -1 in im 1.204 * [taylor]: Taking taylor expansion of re in im 1.204 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.204 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.204 * [taylor]: Taking taylor expansion of -1 in im 1.204 * [taylor]: Taking taylor expansion of im in im 1.204 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.204 * [taylor]: Taking taylor expansion of -1 in im 1.204 * [taylor]: Taking taylor expansion of im in im 1.208 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.208 * [taylor]: Taking taylor expansion of re in im 1.208 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re 1.208 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 1.208 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 1.208 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.208 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.208 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.208 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.208 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.208 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.208 * [taylor]: Taking taylor expansion of -1 in re 1.208 * [taylor]: Taking taylor expansion of re in re 1.209 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.209 * [taylor]: Taking taylor expansion of -1 in re 1.209 * [taylor]: Taking taylor expansion of re in re 1.209 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.209 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.209 * [taylor]: Taking taylor expansion of -1 in re 1.209 * [taylor]: Taking taylor expansion of im in re 1.209 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.209 * [taylor]: Taking taylor expansion of -1 in re 1.209 * [taylor]: Taking taylor expansion of im in re 1.212 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.212 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.213 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.213 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.213 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.213 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.213 * [taylor]: Taking taylor expansion of -1 in re 1.213 * [taylor]: Taking taylor expansion of re in re 1.213 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.213 * [taylor]: Taking taylor expansion of -1 in re 1.213 * [taylor]: Taking taylor expansion of re in re 1.213 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.213 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.213 * [taylor]: Taking taylor expansion of -1 in re 1.213 * [taylor]: Taking taylor expansion of im in re 1.213 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.213 * [taylor]: Taking taylor expansion of -1 in re 1.213 * [taylor]: Taking taylor expansion of im in re 1.217 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.217 * [taylor]: Taking taylor expansion of re in re 1.217 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re 1.217 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 1.217 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 1.217 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.217 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.217 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.217 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.217 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.217 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.217 * [taylor]: Taking taylor expansion of -1 in re 1.217 * [taylor]: Taking taylor expansion of re in re 1.218 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.218 * [taylor]: Taking taylor expansion of -1 in re 1.218 * [taylor]: Taking taylor expansion of re in re 1.218 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.218 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.218 * [taylor]: Taking taylor expansion of -1 in re 1.218 * [taylor]: Taking taylor expansion of im in re 1.218 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.218 * [taylor]: Taking taylor expansion of -1 in re 1.218 * [taylor]: Taking taylor expansion of im in re 1.222 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.222 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.222 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.222 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.222 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.222 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.222 * [taylor]: Taking taylor expansion of -1 in re 1.222 * [taylor]: Taking taylor expansion of re in re 1.222 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.222 * [taylor]: Taking taylor expansion of -1 in re 1.222 * [taylor]: Taking taylor expansion of re in re 1.222 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.222 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.222 * [taylor]: Taking taylor expansion of -1 in re 1.223 * [taylor]: Taking taylor expansion of im in re 1.223 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.223 * [taylor]: Taking taylor expansion of -1 in re 1.223 * [taylor]: Taking taylor expansion of im in re 1.226 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.226 * [taylor]: Taking taylor expansion of re in re 1.227 * [taylor]: Taking taylor expansion of 0 in im 1.228 * [taylor]: Taking taylor expansion of 1 in im 1.234 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.234 * [taylor]: Taking taylor expansion of +nan.0 in im 1.243 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.243 * [taylor]: Taking taylor expansion of +nan.0 in im 1.252 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 1.252 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 1.252 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 1.252 * [taylor]: Taking taylor expansion of +nan.0 in im 1.252 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.252 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.252 * [taylor]: Taking taylor expansion of im in im 1.252 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.253 * [taylor]: Taking taylor expansion of +nan.0 in im 1.255 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 1.255 * [approximate]: Taking taylor expansion of (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt 2.0)) in (re im) around 0 1.255 * [taylor]: Taking taylor expansion of (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt 2.0)) in im 1.255 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) in im 1.255 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in im 1.255 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 1.255 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in im 1.255 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 1.255 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.255 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.256 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.256 * [taylor]: Taking taylor expansion of (* re re) in im 1.256 * [taylor]: Taking taylor expansion of re in im 1.256 * [taylor]: Taking taylor expansion of re in im 1.256 * [taylor]: Taking taylor expansion of (* im im) in im 1.256 * [taylor]: Taking taylor expansion of im in im 1.256 * [taylor]: Taking taylor expansion of im in im 1.257 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 1.257 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.257 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.257 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.257 * [taylor]: Taking taylor expansion of (* re re) in im 1.257 * [taylor]: Taking taylor expansion of re in im 1.257 * [taylor]: Taking taylor expansion of re in im 1.257 * [taylor]: Taking taylor expansion of (* im im) in im 1.257 * [taylor]: Taking taylor expansion of im in im 1.257 * [taylor]: Taking taylor expansion of im in im 1.258 * [taylor]: Taking taylor expansion of (- re) in im 1.258 * [taylor]: Taking taylor expansion of re in im 1.267 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.267 * [taylor]: Taking taylor expansion of 2.0 in im 1.268 * [taylor]: Taking taylor expansion of (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt 2.0)) in re 1.268 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) in re 1.268 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re 1.268 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 1.268 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 1.268 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.268 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.268 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.268 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.268 * [taylor]: Taking taylor expansion of (* re re) in re 1.268 * [taylor]: Taking taylor expansion of re in re 1.268 * [taylor]: Taking taylor expansion of re in re 1.268 * [taylor]: Taking taylor expansion of (* im im) in re 1.268 * [taylor]: Taking taylor expansion of im in re 1.268 * [taylor]: Taking taylor expansion of im in re 1.269 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.269 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.269 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.269 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.269 * [taylor]: Taking taylor expansion of (* re re) in re 1.269 * [taylor]: Taking taylor expansion of re in re 1.269 * [taylor]: Taking taylor expansion of re in re 1.269 * [taylor]: Taking taylor expansion of (* im im) in re 1.269 * [taylor]: Taking taylor expansion of im in re 1.269 * [taylor]: Taking taylor expansion of im in re 1.271 * [taylor]: Taking taylor expansion of (- re) in re 1.271 * [taylor]: Taking taylor expansion of re in re 1.271 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.271 * [taylor]: Taking taylor expansion of 2.0 in re 1.272 * [taylor]: Taking taylor expansion of (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt 2.0)) in re 1.272 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) in re 1.272 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re 1.272 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 1.272 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 1.272 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.272 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.272 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.272 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.272 * [taylor]: Taking taylor expansion of (* re re) in re 1.272 * [taylor]: Taking taylor expansion of re in re 1.272 * [taylor]: Taking taylor expansion of re in re 1.272 * [taylor]: Taking taylor expansion of (* im im) in re 1.272 * [taylor]: Taking taylor expansion of im in re 1.272 * [taylor]: Taking taylor expansion of im in re 1.274 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.274 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.274 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.274 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.274 * [taylor]: Taking taylor expansion of (* re re) in re 1.274 * [taylor]: Taking taylor expansion of re in re 1.274 * [taylor]: Taking taylor expansion of re in re 1.274 * [taylor]: Taking taylor expansion of (* im im) in re 1.274 * [taylor]: Taking taylor expansion of im in re 1.274 * [taylor]: Taking taylor expansion of im in re 1.275 * [taylor]: Taking taylor expansion of (- re) in re 1.275 * [taylor]: Taking taylor expansion of re in re 1.276 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.276 * [taylor]: Taking taylor expansion of 2.0 in re 1.277 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 1.277 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.277 * [taylor]: Taking taylor expansion of 2.0 in im 1.278 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.278 * [taylor]: Taking taylor expansion of im in im 1.281 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 1.281 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 1.282 * [taylor]: Taking taylor expansion of 1/2 in im 1.282 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 1.282 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.282 * [taylor]: Taking taylor expansion of 2.0 in im 1.282 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.282 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.282 * [taylor]: Taking taylor expansion of im in im 1.306 * [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 1.306 * [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 1.306 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.306 * [taylor]: Taking taylor expansion of 2.0 in im 1.307 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re)))) in im 1.307 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in im 1.307 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 1.307 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in im 1.307 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 1.307 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.307 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.307 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.307 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.307 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.307 * [taylor]: Taking taylor expansion of re in im 1.307 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.307 * [taylor]: Taking taylor expansion of re in im 1.307 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.307 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.307 * [taylor]: Taking taylor expansion of im in im 1.308 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.308 * [taylor]: Taking taylor expansion of im in im 1.311 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 1.311 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.311 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.312 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.312 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.312 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.312 * [taylor]: Taking taylor expansion of re in im 1.312 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.312 * [taylor]: Taking taylor expansion of re in im 1.312 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.312 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.312 * [taylor]: Taking taylor expansion of im in im 1.312 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.312 * [taylor]: Taking taylor expansion of im in im 1.316 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in im 1.316 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.316 * [taylor]: Taking taylor expansion of re in im 1.332 * [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 1.332 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.332 * [taylor]: Taking taylor expansion of 2.0 in re 1.332 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re)))) in re 1.332 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re 1.333 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 1.333 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 1.333 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.333 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.333 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.333 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.333 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.333 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.333 * [taylor]: Taking taylor expansion of re in re 1.333 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.333 * [taylor]: Taking taylor expansion of re in re 1.333 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.333 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.333 * [taylor]: Taking taylor expansion of im in re 1.333 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.333 * [taylor]: Taking taylor expansion of im in re 1.337 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.337 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.337 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.337 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.337 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.337 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.337 * [taylor]: Taking taylor expansion of re in re 1.337 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.337 * [taylor]: Taking taylor expansion of re in re 1.338 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.338 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.338 * [taylor]: Taking taylor expansion of im in re 1.338 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.338 * [taylor]: Taking taylor expansion of im in re 1.341 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 1.341 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.341 * [taylor]: Taking taylor expansion of re in re 1.344 * [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 1.344 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.344 * [taylor]: Taking taylor expansion of 2.0 in re 1.344 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re)))) in re 1.344 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re 1.344 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 1.344 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 1.345 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.345 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.345 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.345 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.345 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.345 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.345 * [taylor]: Taking taylor expansion of re in re 1.345 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.345 * [taylor]: Taking taylor expansion of re in re 1.345 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.345 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.345 * [taylor]: Taking taylor expansion of im in re 1.345 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.345 * [taylor]: Taking taylor expansion of im in re 1.349 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.349 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.349 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.349 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.349 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.349 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.349 * [taylor]: Taking taylor expansion of re in re 1.350 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.350 * [taylor]: Taking taylor expansion of re in re 1.350 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.350 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.350 * [taylor]: Taking taylor expansion of im in re 1.350 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.350 * [taylor]: Taking taylor expansion of im in re 1.353 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 1.353 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.353 * [taylor]: Taking taylor expansion of re in re 1.356 * [taylor]: Taking taylor expansion of 0 in im 1.357 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.357 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.357 * [taylor]: Taking taylor expansion of +nan.0 in im 1.357 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.357 * [taylor]: Taking taylor expansion of 2.0 in im 1.376 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.376 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.376 * [taylor]: Taking taylor expansion of +nan.0 in im 1.376 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.376 * [taylor]: Taking taylor expansion of 2.0 in im 1.393 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.393 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.393 * [taylor]: Taking taylor expansion of +nan.0 in im 1.393 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.393 * [taylor]: Taking taylor expansion of 2.0 in im 1.400 * [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 1.400 * [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 1.400 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re))) in im 1.400 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in im 1.400 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 1.400 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in im 1.400 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 1.400 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.400 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.400 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.400 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.400 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.400 * [taylor]: Taking taylor expansion of -1 in im 1.400 * [taylor]: Taking taylor expansion of re in im 1.400 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.400 * [taylor]: Taking taylor expansion of -1 in im 1.400 * [taylor]: Taking taylor expansion of re in im 1.400 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.400 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.400 * [taylor]: Taking taylor expansion of -1 in im 1.400 * [taylor]: Taking taylor expansion of im in im 1.401 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.401 * [taylor]: Taking taylor expansion of -1 in im 1.401 * [taylor]: Taking taylor expansion of im in im 1.405 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 1.405 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.405 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.405 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.405 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.405 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.405 * [taylor]: Taking taylor expansion of -1 in im 1.405 * [taylor]: Taking taylor expansion of re in im 1.405 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.405 * [taylor]: Taking taylor expansion of -1 in im 1.405 * [taylor]: Taking taylor expansion of re in im 1.405 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.405 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.405 * [taylor]: Taking taylor expansion of -1 in im 1.405 * [taylor]: Taking taylor expansion of im in im 1.405 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.405 * [taylor]: Taking taylor expansion of -1 in im 1.405 * [taylor]: Taking taylor expansion of im in im 1.409 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.409 * [taylor]: Taking taylor expansion of re in im 1.424 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.424 * [taylor]: Taking taylor expansion of 2.0 in im 1.425 * [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 1.425 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re))) in re 1.425 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re 1.425 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 1.425 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 1.425 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.425 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.425 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.425 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.425 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.425 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.425 * [taylor]: Taking taylor expansion of -1 in re 1.425 * [taylor]: Taking taylor expansion of re in re 1.425 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.425 * [taylor]: Taking taylor expansion of -1 in re 1.425 * [taylor]: Taking taylor expansion of re in re 1.426 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.426 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.426 * [taylor]: Taking taylor expansion of -1 in re 1.426 * [taylor]: Taking taylor expansion of im in re 1.426 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.426 * [taylor]: Taking taylor expansion of -1 in re 1.426 * [taylor]: Taking taylor expansion of im in re 1.430 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.430 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.430 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.430 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.430 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.430 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.430 * [taylor]: Taking taylor expansion of -1 in re 1.430 * [taylor]: Taking taylor expansion of re in re 1.430 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.430 * [taylor]: Taking taylor expansion of -1 in re 1.430 * [taylor]: Taking taylor expansion of re in re 1.431 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.431 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.431 * [taylor]: Taking taylor expansion of -1 in re 1.431 * [taylor]: Taking taylor expansion of im in re 1.431 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.431 * [taylor]: Taking taylor expansion of -1 in re 1.431 * [taylor]: Taking taylor expansion of im in re 1.434 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.434 * [taylor]: Taking taylor expansion of re in re 1.436 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.436 * [taylor]: Taking taylor expansion of 2.0 in re 1.437 * [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 1.437 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re))) in re 1.437 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re 1.437 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 1.437 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 1.437 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.437 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.437 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.437 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.437 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.437 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.437 * [taylor]: Taking taylor expansion of -1 in re 1.437 * [taylor]: Taking taylor expansion of re in re 1.438 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.438 * [taylor]: Taking taylor expansion of -1 in re 1.438 * [taylor]: Taking taylor expansion of re in re 1.438 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.438 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.438 * [taylor]: Taking taylor expansion of -1 in re 1.438 * [taylor]: Taking taylor expansion of im in re 1.438 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.438 * [taylor]: Taking taylor expansion of -1 in re 1.438 * [taylor]: Taking taylor expansion of im in re 1.442 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.442 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.442 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.442 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.442 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.442 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.442 * [taylor]: Taking taylor expansion of -1 in re 1.442 * [taylor]: Taking taylor expansion of re in re 1.442 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.442 * [taylor]: Taking taylor expansion of -1 in re 1.442 * [taylor]: Taking taylor expansion of re in re 1.442 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.442 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.443 * [taylor]: Taking taylor expansion of -1 in re 1.443 * [taylor]: Taking taylor expansion of im in re 1.443 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.443 * [taylor]: Taking taylor expansion of -1 in re 1.443 * [taylor]: Taking taylor expansion of im in re 1.446 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.446 * [taylor]: Taking taylor expansion of re in re 1.448 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.448 * [taylor]: Taking taylor expansion of 2.0 in re 1.449 * [taylor]: Taking taylor expansion of 0 in im 1.450 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.451 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.451 * [taylor]: Taking taylor expansion of +nan.0 in im 1.451 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.451 * [taylor]: Taking taylor expansion of 2.0 in im 1.469 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.469 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.469 * [taylor]: Taking taylor expansion of +nan.0 in im 1.469 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.469 * [taylor]: Taking taylor expansion of 2.0 in im 1.488 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.488 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.488 * [taylor]: Taking taylor expansion of +nan.0 in im 1.488 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.488 * [taylor]: Taking taylor expansion of 2.0 in im 1.494 * * * [progress]: simplifying candidates 1.495 * [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))))))) 1.499 * * [simplify]: iteration 0 : 192 enodes (cost 304 ) 1.502 * * [simplify]: iteration 1 : 720 enodes (cost 267 ) 1.527 * * [simplify]: iteration 2 : 5001 enodes (cost 251 ) 1.529 * [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)))) 1.529 * * * [progress]: adding candidates to table 1.625 * * [progress]: iteration 4 / 4 1.625 * * * [progress]: picking best candidate 1.642 * * * * [pick]: Picked # 1.643 * * * [progress]: localizing error 1.659 * * * [progress]: generating rewritten candidates 1.659 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 1) 1.673 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1 2) 1.674 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1 1 2) 1.674 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1 1 1 1) 1.676 * * * [progress]: generating series expansions 1.676 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 1) 1.676 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 1.676 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 1.676 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.676 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.676 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.676 * [taylor]: Taking taylor expansion of (* re re) in im 1.676 * [taylor]: Taking taylor expansion of re in im 1.676 * [taylor]: Taking taylor expansion of re in im 1.676 * [taylor]: Taking taylor expansion of (* im im) in im 1.676 * [taylor]: Taking taylor expansion of im in im 1.676 * [taylor]: Taking taylor expansion of im in im 1.678 * [taylor]: Taking taylor expansion of re in im 1.678 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.678 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.678 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.678 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.678 * [taylor]: Taking taylor expansion of (* re re) in re 1.678 * [taylor]: Taking taylor expansion of re in re 1.678 * [taylor]: Taking taylor expansion of re in re 1.678 * [taylor]: Taking taylor expansion of (* im im) in re 1.678 * [taylor]: Taking taylor expansion of im in re 1.678 * [taylor]: Taking taylor expansion of im in re 1.679 * [taylor]: Taking taylor expansion of re in re 1.679 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.679 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.679 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.679 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.679 * [taylor]: Taking taylor expansion of (* re re) in re 1.679 * [taylor]: Taking taylor expansion of re in re 1.679 * [taylor]: Taking taylor expansion of re in re 1.679 * [taylor]: Taking taylor expansion of (* im im) in re 1.679 * [taylor]: Taking taylor expansion of im in re 1.679 * [taylor]: Taking taylor expansion of im in re 1.680 * [taylor]: Taking taylor expansion of re in re 1.681 * [taylor]: Taking taylor expansion of im in im 1.681 * [taylor]: Taking taylor expansion of -1 in im 1.683 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.683 * [taylor]: Taking taylor expansion of 1/2 in im 1.683 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.683 * [taylor]: Taking taylor expansion of im in im 1.686 * [taylor]: Taking taylor expansion of 0 in im 1.687 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 1.687 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.687 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.687 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.687 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.687 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.687 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.687 * [taylor]: Taking taylor expansion of re in im 1.687 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.687 * [taylor]: Taking taylor expansion of re in im 1.687 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.687 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.687 * [taylor]: Taking taylor expansion of im in im 1.687 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.688 * [taylor]: Taking taylor expansion of im in im 1.694 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.694 * [taylor]: Taking taylor expansion of re in im 1.694 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.694 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.694 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.694 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.694 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.694 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.694 * [taylor]: Taking taylor expansion of re in re 1.694 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.694 * [taylor]: Taking taylor expansion of re in re 1.695 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.695 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.695 * [taylor]: Taking taylor expansion of im in re 1.695 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.695 * [taylor]: Taking taylor expansion of im in re 1.697 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.697 * [taylor]: Taking taylor expansion of re in re 1.698 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.698 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.698 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.698 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.698 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.698 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.698 * [taylor]: Taking taylor expansion of re in re 1.698 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.698 * [taylor]: Taking taylor expansion of re in re 1.698 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.698 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.698 * [taylor]: Taking taylor expansion of im in re 1.698 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.698 * [taylor]: Taking taylor expansion of im in re 1.701 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.701 * [taylor]: Taking taylor expansion of re in re 1.702 * [taylor]: Taking taylor expansion of 0 in im 1.702 * [taylor]: Taking taylor expansion of 0 in im 1.706 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.706 * [taylor]: Taking taylor expansion of 1/2 in im 1.706 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.706 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.706 * [taylor]: Taking taylor expansion of im in im 1.711 * [taylor]: Taking taylor expansion of 0 in im 1.712 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 1.713 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 1.713 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.713 * [taylor]: Taking taylor expansion of re in im 1.713 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.713 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.713 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.713 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.713 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.713 * [taylor]: Taking taylor expansion of -1 in im 1.713 * [taylor]: Taking taylor expansion of re in im 1.713 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.713 * [taylor]: Taking taylor expansion of -1 in im 1.713 * [taylor]: Taking taylor expansion of re in im 1.713 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.713 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.713 * [taylor]: Taking taylor expansion of -1 in im 1.713 * [taylor]: Taking taylor expansion of im in im 1.713 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.713 * [taylor]: Taking taylor expansion of -1 in im 1.713 * [taylor]: Taking taylor expansion of im in im 1.716 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.716 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.716 * [taylor]: Taking taylor expansion of re in re 1.716 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.716 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.716 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.716 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.716 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.716 * [taylor]: Taking taylor expansion of -1 in re 1.717 * [taylor]: Taking taylor expansion of re in re 1.717 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.717 * [taylor]: Taking taylor expansion of -1 in re 1.717 * [taylor]: Taking taylor expansion of re in re 1.717 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.717 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.717 * [taylor]: Taking taylor expansion of -1 in re 1.717 * [taylor]: Taking taylor expansion of im in re 1.717 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.717 * [taylor]: Taking taylor expansion of -1 in re 1.717 * [taylor]: Taking taylor expansion of im in re 1.720 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.720 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.720 * [taylor]: Taking taylor expansion of re in re 1.720 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.720 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.720 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.720 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.720 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.720 * [taylor]: Taking taylor expansion of -1 in re 1.720 * [taylor]: Taking taylor expansion of re in re 1.721 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.721 * [taylor]: Taking taylor expansion of -1 in re 1.721 * [taylor]: Taking taylor expansion of re in re 1.721 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.721 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.721 * [taylor]: Taking taylor expansion of -1 in re 1.721 * [taylor]: Taking taylor expansion of im in re 1.721 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.721 * [taylor]: Taking taylor expansion of -1 in re 1.721 * [taylor]: Taking taylor expansion of im in re 1.724 * [taylor]: Taking taylor expansion of 2 in im 1.724 * [taylor]: Taking taylor expansion of 0 in im 1.727 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.727 * [taylor]: Taking taylor expansion of 1/2 in im 1.727 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.727 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.727 * [taylor]: Taking taylor expansion of im in im 1.732 * [taylor]: Taking taylor expansion of 0 in im 1.734 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1 2) 1.734 * [approximate]: Taking taylor expansion of (pow (hypot re im) 1/3) in (re im) around 0 1.734 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in im 1.734 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in im 1.734 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in im 1.734 * [taylor]: Taking taylor expansion of 1/3 in im 1.734 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im 1.734 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.734 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.734 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.734 * [taylor]: Taking taylor expansion of (* re re) in im 1.734 * [taylor]: Taking taylor expansion of re in im 1.734 * [taylor]: Taking taylor expansion of re in im 1.734 * [taylor]: Taking taylor expansion of (* im im) in im 1.734 * [taylor]: Taking taylor expansion of im in im 1.734 * [taylor]: Taking taylor expansion of im in im 1.736 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 1.736 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 1.736 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 1.736 * [taylor]: Taking taylor expansion of 1/3 in re 1.736 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 1.736 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.736 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.736 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.736 * [taylor]: Taking taylor expansion of (* re re) in re 1.736 * [taylor]: Taking taylor expansion of re in re 1.736 * [taylor]: Taking taylor expansion of re in re 1.736 * [taylor]: Taking taylor expansion of (* im im) in re 1.736 * [taylor]: Taking taylor expansion of im in re 1.736 * [taylor]: Taking taylor expansion of im in re 1.737 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 1.737 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 1.737 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 1.737 * [taylor]: Taking taylor expansion of 1/3 in re 1.737 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 1.737 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.737 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.737 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.737 * [taylor]: Taking taylor expansion of (* re re) in re 1.737 * [taylor]: Taking taylor expansion of re in re 1.737 * [taylor]: Taking taylor expansion of re in re 1.738 * [taylor]: Taking taylor expansion of (* im im) in re 1.738 * [taylor]: Taking taylor expansion of im in re 1.738 * [taylor]: Taking taylor expansion of im in re 1.739 * [taylor]: Taking taylor expansion of (pow im 1/3) in im 1.739 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log im))) in im 1.739 * [taylor]: Taking taylor expansion of (* 1/3 (log im)) in im 1.739 * [taylor]: Taking taylor expansion of 1/3 in im 1.739 * [taylor]: Taking taylor expansion of (log im) in im 1.739 * [taylor]: Taking taylor expansion of im in im 1.742 * [taylor]: Taking taylor expansion of 0 in im 1.747 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) in im 1.747 * [taylor]: Taking taylor expansion of 1/6 in im 1.747 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im 1.747 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im 1.747 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im 1.747 * [taylor]: Taking taylor expansion of 1/3 in im 1.747 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 1.747 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 1.747 * [taylor]: Taking taylor expansion of (pow im 5) in im 1.747 * [taylor]: Taking taylor expansion of im in im 1.757 * [taylor]: Taking taylor expansion of 0 in im 1.765 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in (re im) around 0 1.765 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in im 1.765 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in im 1.765 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in im 1.765 * [taylor]: Taking taylor expansion of 1/3 in im 1.765 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im 1.765 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.765 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.765 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.765 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.765 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.765 * [taylor]: Taking taylor expansion of re in im 1.765 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.765 * [taylor]: Taking taylor expansion of re in im 1.766 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.766 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.766 * [taylor]: Taking taylor expansion of im in im 1.766 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.766 * [taylor]: Taking taylor expansion of im in im 1.769 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 1.769 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 1.769 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 1.769 * [taylor]: Taking taylor expansion of 1/3 in re 1.769 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 1.769 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.769 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.769 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.769 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.769 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.769 * [taylor]: Taking taylor expansion of re in re 1.770 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.770 * [taylor]: Taking taylor expansion of re in re 1.770 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.770 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.770 * [taylor]: Taking taylor expansion of im in re 1.770 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.770 * [taylor]: Taking taylor expansion of im in re 1.773 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 1.773 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 1.773 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 1.773 * [taylor]: Taking taylor expansion of 1/3 in re 1.773 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 1.773 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.773 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.773 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.773 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.773 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.773 * [taylor]: Taking taylor expansion of re in re 1.774 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.774 * [taylor]: Taking taylor expansion of re in re 1.774 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.774 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.774 * [taylor]: Taking taylor expansion of im in re 1.774 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.774 * [taylor]: Taking taylor expansion of im in re 1.782 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 1.782 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 1.782 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 1.782 * [taylor]: Taking taylor expansion of -1/3 in im 1.782 * [taylor]: Taking taylor expansion of (log re) in im 1.782 * [taylor]: Taking taylor expansion of re in im 1.784 * [taylor]: Taking taylor expansion of 0 in im 1.790 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 1.790 * [taylor]: Taking taylor expansion of 1/6 in im 1.790 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 1.790 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 1.790 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 1.790 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 1.791 * [taylor]: Taking taylor expansion of 1/3 in im 1.791 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 1.791 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.791 * [taylor]: Taking taylor expansion of re in im 1.791 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.791 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.791 * [taylor]: Taking taylor expansion of im in im 1.807 * [taylor]: Taking taylor expansion of 0 in im 1.807 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in (re im) around 0 1.807 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in im 1.807 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in im 1.807 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in im 1.807 * [taylor]: Taking taylor expansion of 1/3 in im 1.807 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im 1.807 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.807 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.807 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.807 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.807 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.807 * [taylor]: Taking taylor expansion of -1 in im 1.807 * [taylor]: Taking taylor expansion of re in im 1.807 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.807 * [taylor]: Taking taylor expansion of -1 in im 1.807 * [taylor]: Taking taylor expansion of re in im 1.807 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.807 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.807 * [taylor]: Taking taylor expansion of -1 in im 1.807 * [taylor]: Taking taylor expansion of im in im 1.808 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.808 * [taylor]: Taking taylor expansion of -1 in im 1.808 * [taylor]: Taking taylor expansion of im in im 1.811 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 1.811 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 1.811 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 1.811 * [taylor]: Taking taylor expansion of 1/3 in re 1.811 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 1.811 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.811 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.811 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.811 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.811 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.811 * [taylor]: Taking taylor expansion of -1 in re 1.811 * [taylor]: Taking taylor expansion of re in re 1.811 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.812 * [taylor]: Taking taylor expansion of -1 in re 1.812 * [taylor]: Taking taylor expansion of re in re 1.812 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.812 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.812 * [taylor]: Taking taylor expansion of -1 in re 1.812 * [taylor]: Taking taylor expansion of im in re 1.812 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.812 * [taylor]: Taking taylor expansion of -1 in re 1.812 * [taylor]: Taking taylor expansion of im in re 1.815 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 1.815 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 1.815 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 1.815 * [taylor]: Taking taylor expansion of 1/3 in re 1.815 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 1.815 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.815 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.815 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.815 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.815 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.815 * [taylor]: Taking taylor expansion of -1 in re 1.815 * [taylor]: Taking taylor expansion of re in re 1.816 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.816 * [taylor]: Taking taylor expansion of -1 in re 1.816 * [taylor]: Taking taylor expansion of re in re 1.816 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.816 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.816 * [taylor]: Taking taylor expansion of -1 in re 1.816 * [taylor]: Taking taylor expansion of im in re 1.816 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.816 * [taylor]: Taking taylor expansion of -1 in re 1.816 * [taylor]: Taking taylor expansion of im in re 1.820 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 1.820 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 1.820 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 1.820 * [taylor]: Taking taylor expansion of -1/3 in im 1.820 * [taylor]: Taking taylor expansion of (log re) in im 1.820 * [taylor]: Taking taylor expansion of re in im 1.822 * [taylor]: Taking taylor expansion of 0 in im 1.828 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 1.828 * [taylor]: Taking taylor expansion of 1/6 in im 1.828 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 1.828 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 1.828 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 1.828 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 1.828 * [taylor]: Taking taylor expansion of 1/3 in im 1.828 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 1.828 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.828 * [taylor]: Taking taylor expansion of re in im 1.828 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.828 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.828 * [taylor]: Taking taylor expansion of im in im 1.844 * [taylor]: Taking taylor expansion of 0 in im 1.845 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1 1 2) 1.845 * [approximate]: Taking taylor expansion of (pow (hypot re im) 1/3) in (re im) around 0 1.845 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in im 1.845 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in im 1.845 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in im 1.845 * [taylor]: Taking taylor expansion of 1/3 in im 1.845 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im 1.845 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.845 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.845 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.845 * [taylor]: Taking taylor expansion of (* re re) in im 1.845 * [taylor]: Taking taylor expansion of re in im 1.845 * [taylor]: Taking taylor expansion of re in im 1.845 * [taylor]: Taking taylor expansion of (* im im) in im 1.845 * [taylor]: Taking taylor expansion of im in im 1.845 * [taylor]: Taking taylor expansion of im in im 1.846 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 1.846 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 1.846 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 1.846 * [taylor]: Taking taylor expansion of 1/3 in re 1.846 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 1.846 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.846 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.846 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.846 * [taylor]: Taking taylor expansion of (* re re) in re 1.846 * [taylor]: Taking taylor expansion of re in re 1.846 * [taylor]: Taking taylor expansion of re in re 1.846 * [taylor]: Taking taylor expansion of (* im im) in re 1.846 * [taylor]: Taking taylor expansion of im in re 1.846 * [taylor]: Taking taylor expansion of im in re 1.848 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 1.848 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 1.848 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 1.848 * [taylor]: Taking taylor expansion of 1/3 in re 1.848 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 1.848 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.848 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.848 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.848 * [taylor]: Taking taylor expansion of (* re re) in re 1.848 * [taylor]: Taking taylor expansion of re in re 1.848 * [taylor]: Taking taylor expansion of re in re 1.848 * [taylor]: Taking taylor expansion of (* im im) in re 1.848 * [taylor]: Taking taylor expansion of im in re 1.848 * [taylor]: Taking taylor expansion of im in re 1.849 * [taylor]: Taking taylor expansion of (pow im 1/3) in im 1.849 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log im))) in im 1.849 * [taylor]: Taking taylor expansion of (* 1/3 (log im)) in im 1.849 * [taylor]: Taking taylor expansion of 1/3 in im 1.849 * [taylor]: Taking taylor expansion of (log im) in im 1.849 * [taylor]: Taking taylor expansion of im in im 1.851 * [taylor]: Taking taylor expansion of 0 in im 1.856 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) in im 1.856 * [taylor]: Taking taylor expansion of 1/6 in im 1.856 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im 1.856 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im 1.856 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im 1.856 * [taylor]: Taking taylor expansion of 1/3 in im 1.856 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 1.856 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 1.856 * [taylor]: Taking taylor expansion of (pow im 5) in im 1.856 * [taylor]: Taking taylor expansion of im in im 1.870 * [taylor]: Taking taylor expansion of 0 in im 1.878 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in (re im) around 0 1.879 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in im 1.879 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in im 1.879 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in im 1.879 * [taylor]: Taking taylor expansion of 1/3 in im 1.879 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im 1.879 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.879 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.879 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.879 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.879 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.879 * [taylor]: Taking taylor expansion of re in im 1.879 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.879 * [taylor]: Taking taylor expansion of re in im 1.879 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.879 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.879 * [taylor]: Taking taylor expansion of im in im 1.879 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.879 * [taylor]: Taking taylor expansion of im in im 1.882 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 1.883 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 1.883 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 1.883 * [taylor]: Taking taylor expansion of 1/3 in re 1.883 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 1.883 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.883 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.883 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.883 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.883 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.883 * [taylor]: Taking taylor expansion of re in re 1.883 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.883 * [taylor]: Taking taylor expansion of re in re 1.883 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.883 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.883 * [taylor]: Taking taylor expansion of im in re 1.883 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.883 * [taylor]: Taking taylor expansion of im in re 1.887 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 1.887 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 1.887 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 1.887 * [taylor]: Taking taylor expansion of 1/3 in re 1.887 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 1.887 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.887 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.887 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.887 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.887 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.887 * [taylor]: Taking taylor expansion of re in re 1.887 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.887 * [taylor]: Taking taylor expansion of re in re 1.887 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.887 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.887 * [taylor]: Taking taylor expansion of im in re 1.888 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.888 * [taylor]: Taking taylor expansion of im in re 1.891 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 1.891 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 1.891 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 1.891 * [taylor]: Taking taylor expansion of -1/3 in im 1.891 * [taylor]: Taking taylor expansion of (log re) in im 1.891 * [taylor]: Taking taylor expansion of re in im 1.893 * [taylor]: Taking taylor expansion of 0 in im 1.899 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 1.899 * [taylor]: Taking taylor expansion of 1/6 in im 1.899 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 1.899 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 1.899 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 1.899 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 1.899 * [taylor]: Taking taylor expansion of 1/3 in im 1.899 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 1.899 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.899 * [taylor]: Taking taylor expansion of re in im 1.899 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.899 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.899 * [taylor]: Taking taylor expansion of im in im 1.916 * [taylor]: Taking taylor expansion of 0 in im 1.916 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in (re im) around 0 1.916 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in im 1.916 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in im 1.916 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in im 1.916 * [taylor]: Taking taylor expansion of 1/3 in im 1.916 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im 1.916 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.916 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.916 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.916 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.916 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.916 * [taylor]: Taking taylor expansion of -1 in im 1.916 * [taylor]: Taking taylor expansion of re in im 1.916 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.916 * [taylor]: Taking taylor expansion of -1 in im 1.916 * [taylor]: Taking taylor expansion of re in im 1.916 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.916 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.916 * [taylor]: Taking taylor expansion of -1 in im 1.916 * [taylor]: Taking taylor expansion of im in im 1.917 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.917 * [taylor]: Taking taylor expansion of -1 in im 1.917 * [taylor]: Taking taylor expansion of im in im 1.920 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 1.920 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 1.920 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 1.920 * [taylor]: Taking taylor expansion of 1/3 in re 1.920 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 1.920 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.920 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.920 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.920 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.920 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.920 * [taylor]: Taking taylor expansion of -1 in re 1.920 * [taylor]: Taking taylor expansion of re in re 1.920 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.920 * [taylor]: Taking taylor expansion of -1 in re 1.921 * [taylor]: Taking taylor expansion of re in re 1.921 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.921 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.921 * [taylor]: Taking taylor expansion of -1 in re 1.921 * [taylor]: Taking taylor expansion of im in re 1.921 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.921 * [taylor]: Taking taylor expansion of -1 in re 1.921 * [taylor]: Taking taylor expansion of im in re 1.924 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 1.924 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 1.924 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 1.924 * [taylor]: Taking taylor expansion of 1/3 in re 1.924 * [taylor]: Taking taylor expansion of (log (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 -1 in re 1.924 * [taylor]: Taking taylor expansion of re in re 1.925 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.925 * [taylor]: Taking taylor expansion of -1 in re 1.925 * [taylor]: Taking taylor expansion of re in re 1.925 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.925 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.925 * [taylor]: Taking taylor expansion of -1 in re 1.925 * [taylor]: Taking taylor expansion of im in re 1.925 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.925 * [taylor]: Taking taylor expansion of -1 in re 1.925 * [taylor]: Taking taylor expansion of im in re 1.928 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 1.928 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 1.928 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 1.928 * [taylor]: Taking taylor expansion of -1/3 in im 1.928 * [taylor]: Taking taylor expansion of (log re) in im 1.928 * [taylor]: Taking taylor expansion of re in im 1.930 * [taylor]: Taking taylor expansion of 0 in im 1.936 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 1.937 * [taylor]: Taking taylor expansion of 1/6 in im 1.937 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 1.937 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 1.937 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 1.937 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 1.937 * [taylor]: Taking taylor expansion of 1/3 in im 1.937 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 1.937 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.937 * [taylor]: Taking taylor expansion of re in im 1.937 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.937 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.937 * [taylor]: Taking taylor expansion of im in im 1.958 * [taylor]: Taking taylor expansion of 0 in im 1.958 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1 1 1 1) 1.958 * [approximate]: Taking taylor expansion of (pow (hypot re im) 1/3) in (re im) around 0 1.958 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in im 1.958 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in im 1.958 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in im 1.958 * [taylor]: Taking taylor expansion of 1/3 in im 1.958 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im 1.959 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.959 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.959 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.959 * [taylor]: Taking taylor expansion of (* re re) in im 1.959 * [taylor]: Taking taylor expansion of re in im 1.959 * [taylor]: Taking taylor expansion of re in im 1.959 * [taylor]: Taking taylor expansion of (* im im) in im 1.959 * [taylor]: Taking taylor expansion of im in im 1.959 * [taylor]: Taking taylor expansion of im in im 1.960 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 1.960 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 1.960 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 1.960 * [taylor]: Taking taylor expansion of 1/3 in re 1.960 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 1.960 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.960 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.960 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.960 * [taylor]: Taking taylor expansion of (* re re) in re 1.960 * [taylor]: Taking taylor expansion of re in re 1.960 * [taylor]: Taking taylor expansion of re in re 1.960 * [taylor]: Taking taylor expansion of (* im im) in re 1.960 * [taylor]: Taking taylor expansion of im in re 1.960 * [taylor]: Taking taylor expansion of im in re 1.961 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 1.961 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 1.962 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 1.962 * [taylor]: Taking taylor expansion of 1/3 in re 1.962 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 1.962 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.962 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.962 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.962 * [taylor]: Taking taylor expansion of (* re re) in re 1.962 * [taylor]: Taking taylor expansion of re in re 1.962 * [taylor]: Taking taylor expansion of re in re 1.962 * [taylor]: Taking taylor expansion of (* im im) in re 1.962 * [taylor]: Taking taylor expansion of im in re 1.962 * [taylor]: Taking taylor expansion of im in re 1.963 * [taylor]: Taking taylor expansion of (pow im 1/3) in im 1.963 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log im))) in im 1.963 * [taylor]: Taking taylor expansion of (* 1/3 (log im)) in im 1.963 * [taylor]: Taking taylor expansion of 1/3 in im 1.963 * [taylor]: Taking taylor expansion of (log im) in im 1.963 * [taylor]: Taking taylor expansion of im in im 1.965 * [taylor]: Taking taylor expansion of 0 in im 1.970 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) in im 1.970 * [taylor]: Taking taylor expansion of 1/6 in im 1.970 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im 1.970 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im 1.970 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im 1.970 * [taylor]: Taking taylor expansion of 1/3 in im 1.970 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 1.970 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 1.970 * [taylor]: Taking taylor expansion of (pow im 5) in im 1.970 * [taylor]: Taking taylor expansion of im in im 1.979 * [taylor]: Taking taylor expansion of 0 in im 1.988 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in (re im) around 0 1.988 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in im 1.988 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in im 1.988 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in im 1.988 * [taylor]: Taking taylor expansion of 1/3 in im 1.988 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im 1.988 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.988 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.988 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.988 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.988 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.988 * [taylor]: Taking taylor expansion of re in im 1.988 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.988 * [taylor]: Taking taylor expansion of re in im 1.988 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.988 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.988 * [taylor]: Taking taylor expansion of im in im 1.988 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.988 * [taylor]: Taking taylor expansion of im in im 1.992 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 1.992 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 1.992 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 1.992 * [taylor]: Taking taylor expansion of 1/3 in re 1.992 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 1.992 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.992 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.992 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.992 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.992 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.992 * [taylor]: Taking taylor expansion of re in re 1.993 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.993 * [taylor]: Taking taylor expansion of re in re 1.993 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.993 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.993 * [taylor]: Taking taylor expansion of im in re 1.993 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.993 * [taylor]: Taking taylor expansion of im in re 1.996 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 1.996 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 1.996 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 1.996 * [taylor]: Taking taylor expansion of 1/3 in re 1.996 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 1.996 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.996 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.996 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.996 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.996 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.996 * [taylor]: Taking taylor expansion of re in re 1.997 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.997 * [taylor]: Taking taylor expansion of re in re 1.997 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.997 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.997 * [taylor]: Taking taylor expansion of im in re 1.997 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.997 * [taylor]: Taking taylor expansion of im in re 2.000 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 2.000 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 2.000 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 2.000 * [taylor]: Taking taylor expansion of -1/3 in im 2.000 * [taylor]: Taking taylor expansion of (log re) in im 2.000 * [taylor]: Taking taylor expansion of re in im 2.002 * [taylor]: Taking taylor expansion of 0 in im 2.008 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 2.008 * [taylor]: Taking taylor expansion of 1/6 in im 2.008 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 2.008 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 2.008 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 2.008 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 2.008 * [taylor]: Taking taylor expansion of 1/3 in im 2.008 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 2.008 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.008 * [taylor]: Taking taylor expansion of re in im 2.009 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.009 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.009 * [taylor]: Taking taylor expansion of im in im 2.025 * [taylor]: Taking taylor expansion of 0 in im 2.025 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in (re im) around 0 2.025 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in im 2.025 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in im 2.025 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in im 2.025 * [taylor]: Taking taylor expansion of 1/3 in im 2.025 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im 2.025 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.025 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.025 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.026 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.026 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.026 * [taylor]: Taking taylor expansion of -1 in im 2.026 * [taylor]: Taking taylor expansion of re in im 2.026 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.026 * [taylor]: Taking taylor expansion of -1 in im 2.026 * [taylor]: Taking taylor expansion of re in im 2.026 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.026 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.026 * [taylor]: Taking taylor expansion of -1 in im 2.026 * [taylor]: Taking taylor expansion of im in im 2.026 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.026 * [taylor]: Taking taylor expansion of -1 in im 2.026 * [taylor]: Taking taylor expansion of im in im 2.029 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 2.029 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 2.029 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 2.029 * [taylor]: Taking taylor expansion of 1/3 in re 2.029 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 2.030 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.030 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.030 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.030 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.030 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.030 * [taylor]: Taking taylor expansion of -1 in re 2.030 * [taylor]: Taking taylor expansion of re in re 2.030 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.030 * [taylor]: Taking taylor expansion of -1 in re 2.030 * [taylor]: Taking taylor expansion of re in re 2.030 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.030 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.030 * [taylor]: Taking taylor expansion of -1 in re 2.030 * [taylor]: Taking taylor expansion of im in re 2.030 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.030 * [taylor]: Taking taylor expansion of -1 in re 2.030 * [taylor]: Taking taylor expansion of im in re 2.034 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 2.034 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 2.034 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 2.034 * [taylor]: Taking taylor expansion of 1/3 in re 2.034 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 2.034 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.034 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.034 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.034 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.034 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.034 * [taylor]: Taking taylor expansion of -1 in re 2.034 * [taylor]: Taking taylor expansion of re in re 2.034 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.034 * [taylor]: Taking taylor expansion of -1 in re 2.034 * [taylor]: Taking taylor expansion of re in re 2.035 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.035 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.035 * [taylor]: Taking taylor expansion of -1 in re 2.035 * [taylor]: Taking taylor expansion of im in re 2.035 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.035 * [taylor]: Taking taylor expansion of -1 in re 2.035 * [taylor]: Taking taylor expansion of im in re 2.038 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 2.038 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 2.038 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 2.038 * [taylor]: Taking taylor expansion of -1/3 in im 2.038 * [taylor]: Taking taylor expansion of (log re) in im 2.038 * [taylor]: Taking taylor expansion of re in im 2.040 * [taylor]: Taking taylor expansion of 0 in im 2.053 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 2.053 * [taylor]: Taking taylor expansion of 1/6 in im 2.053 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 2.053 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 2.053 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 2.053 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 2.053 * [taylor]: Taking taylor expansion of 1/3 in im 2.053 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 2.053 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.053 * [taylor]: Taking taylor expansion of re in im 2.053 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.053 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.053 * [taylor]: Taking taylor expansion of im in im 2.070 * [taylor]: Taking taylor expansion of 0 in im 2.070 * * * [progress]: simplifying candidates 2.072 * [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)) (expm1 (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)) (log1p (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)) (- re) (/ (exp (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (exp re)) (log (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)) (exp (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)) (* (cbrt (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)) (cbrt (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re))) (cbrt (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)) (* (* (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)) (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)) (sqrt (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)) (sqrt (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)) (- (pow (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) 3) (pow re 3)) (+ (* (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (+ (* re re) (* (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re))) (- re) (- (* (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (* re re)) (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (- re) (expm1 (cbrt (hypot re im))) (log1p (cbrt (hypot re im))) (log (cbrt (hypot re im))) (exp (cbrt (hypot re im))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt 1) (cbrt (hypot re im)) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (expm1 (cbrt (hypot re im))) (log1p (cbrt (hypot re im))) (log (cbrt (hypot re im))) (exp (cbrt (hypot re im))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt 1) (cbrt (hypot re im)) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (expm1 (cbrt (hypot re im))) (log1p (cbrt (hypot re im))) (log (cbrt (hypot re im))) (exp (cbrt (hypot re im))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt 1) (cbrt (hypot re im)) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (- im re) 0 (* -2 re) (+ (pow im 1/3) (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3)))) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) (+ (pow im 1/3) (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3)))) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) (+ (pow im 1/3) (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3)))) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) 2.076 * * [simplify]: iteration 0 : 167 enodes (cost 446 ) 2.079 * * [simplify]: iteration 1 : 570 enodes (cost 322 ) 2.093 * * [simplify]: iteration 2 : 2968 enodes (cost 294 ) 2.161 * * [simplify]: iteration 3 : 5001 enodes (cost 292 ) 2.163 * [simplify]: Simplified to: (- (hypot re im) re) (- re re) (- (hypot re im) re) (- re re) (- (hypot re im) re) (- re re) (expm1 (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)) (log1p (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)) (- re) (exp (- (hypot re im) re)) (log (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)) (exp (- (hypot re im) re)) (* (cbrt (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)) (cbrt (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re))) (cbrt (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)) (pow (- (hypot re im) re) 3) (sqrt (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)) (sqrt (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)) (+ (- (pow re 3)) (pow (hypot re im) 3)) (fma (hypot re im) (+ re (hypot re im)) (pow re 2)) (- re) (* (+ (hypot re im) re) (- (hypot re im) re)) (+ re (hypot re im)) (- re) (expm1 (cbrt (hypot re im))) (log1p (cbrt (hypot re im))) (log (cbrt (hypot re im))) (exp (cbrt (hypot re im))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))) 1 (cbrt (hypot re im)) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (hypot re im) (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (expm1 (cbrt (hypot re im))) (log1p (cbrt (hypot re im))) (log (cbrt (hypot re im))) (exp (cbrt (hypot re im))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))) 1 (cbrt (hypot re im)) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (hypot re im) (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (expm1 (cbrt (hypot re im))) (log1p (cbrt (hypot re im))) (log (cbrt (hypot re im))) (exp (cbrt (hypot re im))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))) 1 (cbrt (hypot re im)) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (hypot re im) (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (- im re) 0 (* -2 re) (fma (* 1/6 (pow re 2)) (pow (/ 1 (pow im 5)) 1/3) (pow im 1/3)) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) (fma (* 1/6 (pow re 2)) (pow (/ 1 (pow im 5)) 1/3) (pow im 1/3)) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) (fma (* 1/6 (pow re 2)) (pow (/ 1 (pow im 5)) 1/3) (pow im 1/3)) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) 2.163 * * * [progress]: adding candidates to table 2.414 * [progress]: [Phase 3 of 3] Extracting. 2.415 * * [regime]: Finding splitpoints for: (# # # # # # # #) 2.418 * * * [regime-changes]: Trying 2 branch expressions: (im re) 2.419 * * * * [regimes]: Trying to branch on im from (# # # # # # # #) 2.469 * * * * [regimes]: Trying to branch on re from (# # # # # # # #) 2.527 * * * [regime]: Found split indices: #