26.045 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.027 * * * [progress]: [2/2] Setting up program. 0.029 * [progress]: [Phase 2 of 3] Improving. 0.030 * [simplify]: Simplifying using # : (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.032 * * [simplify]: iteration 0 : 24 enodes (cost 8 ) 0.034 * * [simplify]: iteration 1 : 30 enodes (cost 8 ) 0.035 * * [simplify]: iteration 2 : 33 enodes (cost 8 ) 0.037 * * [simplify]: iteration 3 : 33 enodes (cost 8 ) 0.037 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.037 * * [progress]: iteration 1 / 4 0.037 * * * [progress]: picking best candidate 0.039 * * * * [pick]: Picked # 0.039 * * * [progress]: localizing error 0.050 * * * [progress]: generating rewritten candidates 0.050 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1) 0.054 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.061 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.069 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1) 0.075 * * * [progress]: generating series expansions 0.075 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 0.075 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.075 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.075 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.075 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.075 * [taylor]: Taking taylor expansion of re in im 0.075 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.075 * [taylor]: Taking taylor expansion of im in im 0.076 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.076 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.076 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.076 * [taylor]: Taking taylor expansion of re in re 0.076 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.076 * [taylor]: Taking taylor expansion of im in re 0.076 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.076 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.076 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.076 * [taylor]: Taking taylor expansion of re in re 0.076 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.077 * [taylor]: Taking taylor expansion of im in re 0.077 * [taylor]: Taking taylor expansion of im in im 0.077 * [taylor]: Taking taylor expansion of 0 in im 0.079 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.079 * [taylor]: Taking taylor expansion of 1/2 in im 0.079 * [taylor]: Taking taylor expansion of im in im 0.081 * [taylor]: Taking taylor expansion of 0 in im 0.081 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.081 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.081 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.081 * [taylor]: Taking taylor expansion of im in im 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.082 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.082 * [taylor]: Taking taylor expansion of re in im 0.084 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.084 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.084 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.084 * [taylor]: Taking taylor expansion of im in re 0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.084 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.084 * [taylor]: Taking taylor expansion of re in re 0.087 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.087 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.087 * [taylor]: Taking taylor expansion of im in re 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.087 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.087 * [taylor]: Taking taylor expansion of re in re 0.089 * [taylor]: Taking taylor expansion of 1 in im 0.089 * [taylor]: Taking taylor expansion of 0 in im 0.091 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.091 * [taylor]: Taking taylor expansion of 1/2 in im 0.091 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.091 * [taylor]: Taking taylor expansion of im in im 0.094 * [taylor]: Taking taylor expansion of 0 in im 0.096 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.096 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.096 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.096 * [taylor]: Taking taylor expansion of im in im 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.096 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.096 * [taylor]: Taking taylor expansion of re in im 0.098 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.098 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.098 * [taylor]: Taking taylor expansion of im in re 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.099 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.099 * [taylor]: Taking taylor expansion of re in re 0.101 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.101 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.101 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.101 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.101 * [taylor]: Taking taylor expansion of im in re 0.101 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.101 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.101 * [taylor]: Taking taylor expansion of re in re 0.103 * [taylor]: Taking taylor expansion of 1 in im 0.103 * [taylor]: Taking taylor expansion of 0 in im 0.105 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.105 * [taylor]: Taking taylor expansion of 1/2 in im 0.105 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.105 * [taylor]: Taking taylor expansion of im in im 0.109 * [taylor]: Taking taylor expansion of 0 in im 0.110 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.110 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 0.110 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.110 * [taylor]: Taking taylor expansion of re in im 0.110 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.110 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.110 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.110 * [taylor]: Taking taylor expansion of re in im 0.110 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.110 * [taylor]: Taking taylor expansion of im in im 0.111 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.111 * [taylor]: Taking taylor expansion of re in re 0.111 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.111 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.111 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.111 * [taylor]: Taking taylor expansion of re in re 0.111 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.111 * [taylor]: Taking taylor expansion of im in re 0.111 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.111 * [taylor]: Taking taylor expansion of re in re 0.111 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.111 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.111 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.111 * [taylor]: Taking taylor expansion of re in re 0.111 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.111 * [taylor]: Taking taylor expansion of im in re 0.112 * [taylor]: Taking taylor expansion of im in im 0.112 * [taylor]: Taking taylor expansion of 1 in im 0.113 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.113 * [taylor]: Taking taylor expansion of 1/2 in im 0.114 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.114 * [taylor]: Taking taylor expansion of im in im 0.121 * [taylor]: Taking taylor expansion of 0 in im 0.122 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.122 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.122 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.122 * [taylor]: Taking taylor expansion of re in im 0.122 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.122 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.122 * [taylor]: Taking taylor expansion of im in im 0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.123 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.123 * [taylor]: Taking taylor expansion of re in im 0.125 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.125 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.125 * [taylor]: Taking taylor expansion of re in re 0.125 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.125 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.125 * [taylor]: Taking taylor expansion of im in re 0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.125 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.125 * [taylor]: Taking taylor expansion of re in re 0.128 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.128 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.128 * [taylor]: Taking taylor expansion of re in re 0.128 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.128 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.128 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.128 * [taylor]: Taking taylor expansion of im in re 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.128 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.129 * [taylor]: Taking taylor expansion of re in re 0.131 * [taylor]: Taking taylor expansion of 2 in im 0.132 * [taylor]: Taking taylor expansion of 0 in im 0.134 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.134 * [taylor]: Taking taylor expansion of 1/2 in im 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow im 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 0.139 * [taylor]: Taking taylor expansion of 0 in im 0.140 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.140 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.140 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.140 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.141 * [taylor]: Taking taylor expansion of im in im 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.141 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.141 * [taylor]: Taking taylor expansion of re in im 0.143 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.143 * [taylor]: Taking taylor expansion of re in im 0.143 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.143 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.143 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.143 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.143 * [taylor]: Taking taylor expansion of im in re 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.143 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.143 * [taylor]: Taking taylor expansion of re in re 0.146 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.146 * [taylor]: Taking taylor expansion of re in re 0.146 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.146 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.146 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.146 * [taylor]: Taking taylor expansion of im in re 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.146 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.146 * [taylor]: Taking taylor expansion of re in re 0.148 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.148 * [taylor]: Taking taylor expansion of re in re 0.149 * [taylor]: Taking taylor expansion of 0 in im 0.150 * [taylor]: Taking taylor expansion of 0 in im 0.153 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.153 * [taylor]: Taking taylor expansion of 1/2 in im 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.153 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.153 * [taylor]: Taking taylor expansion of im in im 0.157 * [taylor]: Taking taylor expansion of 0 in im 0.159 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.159 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in (re im) around 0 0.159 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 0.159 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.159 * [taylor]: Taking taylor expansion of 2.0 in im 0.160 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 0.160 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.160 * [taylor]: Taking taylor expansion of re in im 0.160 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.160 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.160 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.160 * [taylor]: Taking taylor expansion of re in im 0.160 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.160 * [taylor]: Taking taylor expansion of im in im 0.161 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.161 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.161 * [taylor]: Taking taylor expansion of 2.0 in re 0.161 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.161 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.161 * [taylor]: Taking taylor expansion of re in re 0.162 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.162 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.162 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.162 * [taylor]: Taking taylor expansion of re in re 0.162 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.162 * [taylor]: Taking taylor expansion of im in re 0.162 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.162 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.162 * [taylor]: Taking taylor expansion of 2.0 in re 0.163 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.163 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.163 * [taylor]: Taking taylor expansion of re in re 0.163 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.163 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 0.163 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.163 * [taylor]: Taking taylor expansion of im in re 0.164 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.164 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.165 * [taylor]: Taking taylor expansion of 2.0 in im 0.165 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.165 * [taylor]: Taking taylor expansion of im in im 0.167 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.167 * [taylor]: Taking taylor expansion of 1/2 in im 0.167 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.167 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.167 * [taylor]: Taking taylor expansion of 2.0 in im 0.168 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.168 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.168 * [taylor]: Taking taylor expansion of im in im 0.179 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.179 * [taylor]: Taking taylor expansion of 1/8 in im 0.179 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.179 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.179 * [taylor]: Taking taylor expansion of 2.0 in im 0.180 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.180 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.180 * [taylor]: Taking taylor expansion of im in im 0.195 * [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 0.195 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.195 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.196 * [taylor]: Taking taylor expansion of 2.0 in im 0.196 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.196 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.196 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.196 * [taylor]: Taking taylor expansion of re in im 0.196 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.196 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.196 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.196 * [taylor]: Taking taylor expansion of im in im 0.197 * [taylor]: Taking taylor expansion of (/ 1 (pow re 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 0.200 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.200 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.200 * [taylor]: Taking taylor expansion of 2.0 in re 0.206 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.206 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.206 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.206 * [taylor]: Taking taylor expansion of re in re 0.206 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.207 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.207 * [taylor]: Taking taylor expansion of im in re 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.207 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.207 * [taylor]: Taking taylor expansion of re in re 0.210 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.210 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.210 * [taylor]: Taking taylor expansion of 2.0 in re 0.211 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.211 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.211 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.211 * [taylor]: Taking taylor expansion of re in re 0.211 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.211 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.211 * [taylor]: Taking taylor expansion of im in re 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.211 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.211 * [taylor]: Taking taylor expansion of re in re 0.215 * [taylor]: Taking taylor expansion of 0 in im 0.217 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.217 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.217 * [taylor]: Taking taylor expansion of +nan.0 in im 0.217 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.217 * [taylor]: Taking taylor expansion of 2.0 in im 0.222 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.222 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.222 * [taylor]: Taking taylor expansion of +nan.0 in im 0.222 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.222 * [taylor]: Taking taylor expansion of 2.0 in im 0.230 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.230 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.230 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.230 * [taylor]: Taking taylor expansion of +nan.0 in im 0.230 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.230 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.230 * [taylor]: Taking taylor expansion of 2.0 in im 0.231 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.231 * [taylor]: Taking taylor expansion of im in im 0.232 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.232 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.232 * [taylor]: Taking taylor expansion of +nan.0 in im 0.232 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.232 * [taylor]: Taking taylor expansion of 2.0 in im 0.243 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.243 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.243 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.243 * [taylor]: Taking taylor expansion of +nan.0 in im 0.243 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.243 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.243 * [taylor]: Taking taylor expansion of 2.0 in im 0.243 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.244 * [taylor]: Taking taylor expansion of im in im 0.244 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.244 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.244 * [taylor]: Taking taylor expansion of +nan.0 in im 0.244 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.244 * [taylor]: Taking taylor expansion of 2.0 in im 0.257 * [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 0.258 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.258 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.258 * [taylor]: Taking taylor expansion of 2.0 in im 0.258 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.258 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.258 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.258 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.258 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.258 * [taylor]: Taking taylor expansion of im in im 0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.259 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.259 * [taylor]: Taking taylor expansion of re in im 0.261 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.261 * [taylor]: Taking taylor expansion of re in im 0.262 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.262 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.262 * [taylor]: Taking taylor expansion of 2.0 in re 0.263 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.263 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.263 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.263 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.263 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.263 * [taylor]: Taking taylor expansion of im in re 0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.263 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.263 * [taylor]: Taking taylor expansion of re in re 0.265 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.266 * [taylor]: Taking taylor expansion of re in re 0.270 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.270 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.270 * [taylor]: Taking taylor expansion of 2.0 in re 0.271 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.271 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.271 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.271 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.271 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.271 * [taylor]: Taking taylor expansion of im in re 0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.271 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.271 * [taylor]: Taking taylor expansion of re in re 0.274 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.274 * [taylor]: Taking taylor expansion of re in re 0.279 * [taylor]: Taking taylor expansion of 0 in im 0.280 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.280 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.280 * [taylor]: Taking taylor expansion of +nan.0 in im 0.280 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.280 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.280 * [taylor]: Taking taylor expansion of 2.0 in im 0.281 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.281 * [taylor]: Taking taylor expansion of im in im 0.293 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.293 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.293 * [taylor]: Taking taylor expansion of +nan.0 in im 0.293 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.293 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.293 * [taylor]: Taking taylor expansion of 2.0 in im 0.294 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.294 * [taylor]: Taking taylor expansion of im in im 0.309 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.309 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.310 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.310 * [taylor]: Taking taylor expansion of +nan.0 in im 0.310 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.310 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.310 * [taylor]: Taking taylor expansion of 2.0 in im 0.310 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.310 * [taylor]: Taking taylor expansion of im in im 0.311 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.311 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.311 * [taylor]: Taking taylor expansion of +nan.0 in im 0.311 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.311 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.311 * [taylor]: Taking taylor expansion of 2.0 in im 0.312 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.312 * [taylor]: Taking taylor expansion of im in im 0.335 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1) 0.335 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.335 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.335 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.335 * [taylor]: Taking taylor expansion of re in im 0.335 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.335 * [taylor]: Taking taylor expansion of im in im 0.335 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.335 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.335 * [taylor]: Taking taylor expansion of re in re 0.335 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.335 * [taylor]: Taking taylor expansion of im in re 0.335 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.335 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.335 * [taylor]: Taking taylor expansion of re in re 0.335 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.335 * [taylor]: Taking taylor expansion of im in re 0.336 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.336 * [taylor]: Taking taylor expansion of im in im 0.336 * [taylor]: Taking taylor expansion of 0 in im 0.337 * [taylor]: Taking taylor expansion of 1 in im 0.338 * [taylor]: Taking taylor expansion of 0 in im 0.340 * [taylor]: Taking taylor expansion of 0 in im 0.340 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.340 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.340 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.340 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.340 * [taylor]: Taking taylor expansion of im in im 0.341 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.341 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.341 * [taylor]: Taking taylor expansion of re in im 0.341 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.341 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.341 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.341 * [taylor]: Taking taylor expansion of im in re 0.341 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.341 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.341 * [taylor]: Taking taylor expansion of re in re 0.342 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.342 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.342 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.342 * [taylor]: Taking taylor expansion of im in re 0.342 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.342 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.342 * [taylor]: Taking taylor expansion of re in re 0.343 * [taylor]: Taking taylor expansion of 1 in im 0.344 * [taylor]: Taking taylor expansion of 0 in im 0.345 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.345 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.345 * [taylor]: Taking taylor expansion of im in im 0.347 * [taylor]: Taking taylor expansion of 0 in im 0.349 * [taylor]: Taking taylor expansion of 0 in im 0.351 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.351 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.351 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.351 * [taylor]: Taking taylor expansion of im in im 0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.351 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.351 * [taylor]: Taking taylor expansion of re in im 0.352 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.352 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.352 * [taylor]: Taking taylor expansion of im in re 0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.352 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.352 * [taylor]: Taking taylor expansion of re in re 0.352 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.352 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.352 * [taylor]: Taking taylor expansion of im in re 0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.352 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.352 * [taylor]: Taking taylor expansion of re in re 0.353 * [taylor]: Taking taylor expansion of 1 in im 0.354 * [taylor]: Taking taylor expansion of 0 in im 0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.355 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.355 * [taylor]: Taking taylor expansion of im in im 0.357 * [taylor]: Taking taylor expansion of 0 in im 0.360 * [taylor]: Taking taylor expansion of 0 in im 0.361 * * * [progress]: simplifying candidates 0.362 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (expm1 (+ (sqrt (+ (* re re) (* im im))) re)) (log1p (+ (sqrt (+ (* re re) (* im im))) re)) (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) (expm1 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (log1p (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (* (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (expm1 (+ (* re re) (* im im))) (log1p (+ (* re re) (* im im))) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) im re (* -1 re) (+ re im) (* 2 re) 0 (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0 (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 0.367 * * [simplify]: iteration 0 : 296 enodes (cost 446 ) 0.372 * * [simplify]: iteration 1 : 1086 enodes (cost 401 ) 0.389 * * [simplify]: iteration 2 : 3561 enodes (cost 382 ) 0.448 * * [simplify]: iteration 3 : 5001 enodes (cost 381 ) 0.450 * [simplify]: Simplified to: (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (hypot re im) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (hypot re im) (hypot (pow im 3) (pow re 3)) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (expm1 (+ (sqrt (+ (* re re) (* im im))) re)) (log1p (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ re (hypot re im))) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ re (hypot re im))) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (pow (+ re (hypot re im)) 3) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (fma (pow re 2) re (pow (hypot re im) 3)) (fma re (- re (hypot re im)) (fma re re (* im im))) (+ 0 (pow im 2)) (- (hypot re im) re) (+ re (hypot re im)) (expm1 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (log1p (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (pow (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 3) (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (expm1 (+ (* re re) (* im im))) (log1p (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (pow (hypot re im) 6) (hypot re im) (hypot re im) (fma im (pow im 5) (pow re 6)) (fma im (- (pow im 3) (* (pow re 2) im)) (pow re 4)) (fma (- (pow im 3)) im (pow re 4)) (- (* re re) (* im im)) im re (* -1 re) (+ re im) (* 2 re) 0 (* (* +nan.0 (sqrt 2.0)) (+ (- (* re re)) (- im re))) (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) 0 (fma re re (* im im)) (fma re re (* im im)) (fma re re (* im im)) 0.451 * * * [progress]: adding candidates to table 0.660 * * [progress]: iteration 2 / 4 0.660 * * * [progress]: picking best candidate 0.667 * * * * [pick]: Picked # 0.667 * * * [progress]: localizing error 0.680 * * * [progress]: generating rewritten candidates 0.680 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2) 0.685 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.691 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 0.699 * * * [progress]: generating series expansions 0.699 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2) 0.699 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 0.700 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.700 * [taylor]: Taking taylor expansion of re in im 0.700 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.700 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.700 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.700 * [taylor]: Taking taylor expansion of (* re re) in im 0.700 * [taylor]: Taking taylor expansion of re in im 0.700 * [taylor]: Taking taylor expansion of re in im 0.700 * [taylor]: Taking taylor expansion of (* im im) in im 0.700 * [taylor]: Taking taylor expansion of im in im 0.700 * [taylor]: Taking taylor expansion of im in im 0.701 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.701 * [taylor]: Taking taylor expansion of re in re 0.701 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.701 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.701 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.701 * [taylor]: Taking taylor expansion of (* re re) in re 0.701 * [taylor]: Taking taylor expansion of re in re 0.701 * [taylor]: Taking taylor expansion of re in re 0.701 * [taylor]: Taking taylor expansion of (* im im) in re 0.701 * [taylor]: Taking taylor expansion of im in re 0.701 * [taylor]: Taking taylor expansion of im in re 0.703 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.703 * [taylor]: Taking taylor expansion of re in re 0.703 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.703 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.703 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.703 * [taylor]: Taking taylor expansion of (* re re) in re 0.703 * [taylor]: Taking taylor expansion of re in re 0.703 * [taylor]: Taking taylor expansion of re in re 0.703 * [taylor]: Taking taylor expansion of (* im im) in re 0.703 * [taylor]: Taking taylor expansion of im in re 0.703 * [taylor]: Taking taylor expansion of im in re 0.704 * [taylor]: Taking taylor expansion of im in im 0.704 * [taylor]: Taking taylor expansion of 1 in im 0.706 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.706 * [taylor]: Taking taylor expansion of 1/2 in im 0.706 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.706 * [taylor]: Taking taylor expansion of im in im 0.708 * [taylor]: Taking taylor expansion of 0 in im 0.710 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 0.710 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 0.710 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.710 * [taylor]: Taking taylor expansion of re in im 0.710 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.710 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.710 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.710 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.710 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.710 * [taylor]: Taking taylor expansion of re in im 0.710 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.710 * [taylor]: Taking taylor expansion of re in im 0.710 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.710 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.710 * [taylor]: Taking taylor expansion of im in im 0.711 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.711 * [taylor]: Taking taylor expansion of im in im 0.713 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.714 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.714 * [taylor]: Taking taylor expansion of re in re 0.714 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.714 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.714 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.714 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.714 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.714 * [taylor]: Taking taylor expansion of re in re 0.714 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.714 * [taylor]: Taking taylor expansion of re in re 0.715 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.715 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.715 * [taylor]: Taking taylor expansion of im in re 0.715 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.715 * [taylor]: Taking taylor expansion of im in re 0.717 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.717 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.717 * [taylor]: Taking taylor expansion of re in re 0.718 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.718 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.718 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.718 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.718 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.718 * [taylor]: Taking taylor expansion of re in re 0.718 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.718 * [taylor]: Taking taylor expansion of re in re 0.718 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.718 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.718 * [taylor]: Taking taylor expansion of im in re 0.718 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.718 * [taylor]: Taking taylor expansion of im in re 0.721 * [taylor]: Taking taylor expansion of 2 in im 0.722 * [taylor]: Taking taylor expansion of 0 in im 0.725 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.725 * [taylor]: Taking taylor expansion of 1/2 in im 0.725 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.725 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.725 * [taylor]: Taking taylor expansion of im in im 0.730 * [taylor]: Taking taylor expansion of 0 in im 0.732 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 0.732 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.732 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.732 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.732 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.732 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.732 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.732 * [taylor]: Taking taylor expansion of -1 in im 0.732 * [taylor]: Taking taylor expansion of re in im 0.732 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.732 * [taylor]: Taking taylor expansion of -1 in im 0.732 * [taylor]: Taking taylor expansion of re in im 0.732 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.732 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.732 * [taylor]: Taking taylor expansion of -1 in im 0.732 * [taylor]: Taking taylor expansion of im in im 0.733 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.733 * [taylor]: Taking taylor expansion of -1 in im 0.733 * [taylor]: Taking taylor expansion of im in im 0.736 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.736 * [taylor]: Taking taylor expansion of re in im 0.736 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.736 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.736 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.736 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.736 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.736 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.736 * [taylor]: Taking taylor expansion of -1 in re 0.736 * [taylor]: Taking taylor expansion of re in re 0.736 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.736 * [taylor]: Taking taylor expansion of -1 in re 0.736 * [taylor]: Taking taylor expansion of re in re 0.737 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.737 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.737 * [taylor]: Taking taylor expansion of -1 in re 0.737 * [taylor]: Taking taylor expansion of im in re 0.737 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.737 * [taylor]: Taking taylor expansion of -1 in re 0.737 * [taylor]: Taking taylor expansion of im in re 0.740 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.740 * [taylor]: Taking taylor expansion of re in re 0.740 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.740 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.740 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.740 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.740 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.740 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.740 * [taylor]: Taking taylor expansion of -1 in re 0.740 * [taylor]: Taking taylor expansion of re in re 0.740 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.740 * [taylor]: Taking taylor expansion of -1 in re 0.740 * [taylor]: Taking taylor expansion of re in re 0.741 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.741 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.741 * [taylor]: Taking taylor expansion of -1 in re 0.741 * [taylor]: Taking taylor expansion of im in re 0.741 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.741 * [taylor]: Taking taylor expansion of -1 in re 0.741 * [taylor]: Taking taylor expansion of im in re 0.743 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.744 * [taylor]: Taking taylor expansion of re in re 0.744 * [taylor]: Taking taylor expansion of 0 in im 0.745 * [taylor]: Taking taylor expansion of 0 in im 0.748 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.748 * [taylor]: Taking taylor expansion of 1/2 in im 0.748 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.748 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.748 * [taylor]: Taking taylor expansion of im in im 0.754 * [taylor]: Taking taylor expansion of 0 in im 0.755 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.756 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0 0.756 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im 0.756 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 0.756 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.756 * [taylor]: Taking taylor expansion of re in im 0.756 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.756 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.756 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.756 * [taylor]: Taking taylor expansion of (* re re) in im 0.756 * [taylor]: Taking taylor expansion of re in im 0.756 * [taylor]: Taking taylor expansion of re in im 0.756 * [taylor]: Taking taylor expansion of (* im im) in im 0.756 * [taylor]: Taking taylor expansion of im in im 0.756 * [taylor]: Taking taylor expansion of im in im 0.757 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.757 * [taylor]: Taking taylor expansion of 2.0 in im 0.758 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 0.758 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 0.758 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.758 * [taylor]: Taking taylor expansion of re in re 0.758 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.758 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.758 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.758 * [taylor]: Taking taylor expansion of (* re re) in re 0.758 * [taylor]: Taking taylor expansion of re in re 0.758 * [taylor]: Taking taylor expansion of re in re 0.758 * [taylor]: Taking taylor expansion of (* im im) in re 0.758 * [taylor]: Taking taylor expansion of im in re 0.758 * [taylor]: Taking taylor expansion of im in re 0.760 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.760 * [taylor]: Taking taylor expansion of 2.0 in re 0.761 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 0.761 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 0.761 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.761 * [taylor]: Taking taylor expansion of re in re 0.761 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.761 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.761 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.761 * [taylor]: Taking taylor expansion of (* re re) in re 0.761 * [taylor]: Taking taylor expansion of re in re 0.761 * [taylor]: Taking taylor expansion of re in re 0.761 * [taylor]: Taking taylor expansion of (* im im) in re 0.761 * [taylor]: Taking taylor expansion of im in re 0.761 * [taylor]: Taking taylor expansion of im in re 0.763 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.763 * [taylor]: Taking taylor expansion of 2.0 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 0.764 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.764 * [taylor]: Taking taylor expansion of im in im 0.766 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.766 * [taylor]: Taking taylor expansion of 1/2 in im 0.766 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.766 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.766 * [taylor]: Taking taylor expansion of 2.0 in im 0.767 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.767 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.767 * [taylor]: Taking taylor expansion of im in im 0.783 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.783 * [taylor]: Taking taylor expansion of 1/8 in im 0.783 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.783 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.783 * [taylor]: Taking taylor expansion of 2.0 in im 0.784 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.784 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.784 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.784 * [taylor]: Taking taylor expansion of im in im 0.799 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in (re im) around 0 0.799 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in im 0.799 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 0.799 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 0.799 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.799 * [taylor]: Taking taylor expansion of re in im 0.799 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.799 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.799 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.799 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.799 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.799 * [taylor]: Taking taylor expansion of re in im 0.799 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.799 * [taylor]: Taking taylor expansion of re in im 0.799 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.799 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.799 * [taylor]: Taking taylor expansion of im in im 0.800 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.800 * [taylor]: Taking taylor expansion of im in im 0.804 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.804 * [taylor]: Taking taylor expansion of 2.0 in im 0.805 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 0.805 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 0.805 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.805 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.805 * [taylor]: Taking taylor expansion of re in re 0.805 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.805 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.805 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.805 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.805 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.805 * [taylor]: Taking taylor expansion of re in re 0.805 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.805 * [taylor]: Taking taylor expansion of re in re 0.806 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.806 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.806 * [taylor]: Taking taylor expansion of im in re 0.806 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.806 * [taylor]: Taking taylor expansion of im in re 0.809 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.809 * [taylor]: Taking taylor expansion of 2.0 in re 0.810 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 0.810 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 0.810 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.810 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.810 * [taylor]: Taking taylor expansion of re in re 0.810 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.811 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.811 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.811 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.811 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.811 * [taylor]: Taking taylor expansion of re in re 0.811 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.811 * [taylor]: Taking taylor expansion of re in re 0.811 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.811 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.811 * [taylor]: Taking taylor expansion of im in re 0.811 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.811 * [taylor]: Taking taylor expansion of im in re 0.815 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.815 * [taylor]: Taking taylor expansion of 2.0 in re 0.816 * [taylor]: Taking taylor expansion of 0 in im 0.817 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.817 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.817 * [taylor]: Taking taylor expansion of +nan.0 in im 0.817 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.817 * [taylor]: Taking taylor expansion of 2.0 in im 0.823 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.823 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.823 * [taylor]: Taking taylor expansion of +nan.0 in im 0.823 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.823 * [taylor]: Taking taylor expansion of 2.0 in im 0.832 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.833 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.833 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.833 * [taylor]: Taking taylor expansion of +nan.0 in im 0.833 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.833 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.833 * [taylor]: Taking taylor expansion of 2.0 in im 0.833 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.833 * [taylor]: Taking taylor expansion of im in im 0.834 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.834 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.834 * [taylor]: Taking taylor expansion of +nan.0 in im 0.834 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.834 * [taylor]: Taking taylor expansion of 2.0 in im 0.846 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.846 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.846 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.846 * [taylor]: Taking taylor expansion of +nan.0 in im 0.846 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.846 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.846 * [taylor]: Taking taylor expansion of 2.0 in im 0.847 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.847 * [taylor]: Taking taylor expansion of im in im 0.848 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.848 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.848 * [taylor]: Taking taylor expansion of +nan.0 in im 0.848 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.848 * [taylor]: Taking taylor expansion of 2.0 in im 0.868 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 0.868 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) 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 (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 0.869 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 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 0.869 * [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 0.872 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.872 * [taylor]: Taking taylor expansion of re in im 0.874 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) 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 (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.874 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.874 * [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 0.875 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.875 * [taylor]: Taking taylor expansion of -1 in re 0.875 * [taylor]: Taking taylor expansion of im in re 0.875 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.875 * [taylor]: Taking taylor expansion of -1 in re 0.875 * [taylor]: Taking taylor expansion of im in re 0.878 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.878 * [taylor]: Taking taylor expansion of re in re 0.884 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.884 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.884 * [taylor]: Taking taylor expansion of 2.0 in re 0.884 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.884 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.884 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.884 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.885 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.885 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.885 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.885 * [taylor]: Taking taylor expansion of -1 in re 0.885 * [taylor]: Taking taylor expansion of re in re 0.885 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.885 * [taylor]: Taking taylor expansion of -1 in re 0.885 * [taylor]: Taking taylor expansion of re in re 0.885 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.885 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.885 * [taylor]: Taking taylor expansion of -1 in re 0.885 * [taylor]: Taking taylor expansion of im in re 0.885 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.885 * [taylor]: Taking taylor expansion of -1 in re 0.885 * [taylor]: Taking taylor expansion of im in re 0.888 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.888 * [taylor]: Taking taylor expansion of re in re 0.894 * [taylor]: Taking taylor expansion of 0 in im 0.895 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.895 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.895 * [taylor]: Taking taylor expansion of +nan.0 in im 0.895 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.895 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.895 * [taylor]: Taking taylor expansion of 2.0 in im 0.895 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.896 * [taylor]: Taking taylor expansion of im in im 0.903 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.903 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.903 * [taylor]: Taking taylor expansion of +nan.0 in im 0.903 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.903 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.904 * [taylor]: Taking taylor expansion of 2.0 in im 0.904 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.904 * [taylor]: Taking taylor expansion of im in im 0.921 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.921 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.921 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.921 * [taylor]: Taking taylor expansion of +nan.0 in im 0.921 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.921 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.921 * [taylor]: Taking taylor expansion of 2.0 in im 0.922 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.922 * [taylor]: Taking taylor expansion of im in im 0.923 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.923 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.923 * [taylor]: Taking taylor expansion of +nan.0 in im 0.923 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.923 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.923 * [taylor]: Taking taylor expansion of 2.0 in im 0.924 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.924 * [taylor]: Taking taylor expansion of im in im 0.953 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 0.953 * [approximate]: Taking taylor expansion of (* 2.0 (+ re (hypot re im))) in (re im) around 0 0.953 * [taylor]: Taking taylor expansion of (* 2.0 (+ re (hypot re im))) in im 0.953 * [taylor]: Taking taylor expansion of 2.0 in im 0.954 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.954 * [taylor]: Taking taylor expansion of re in im 0.954 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.954 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.954 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.954 * [taylor]: Taking taylor expansion of (* re re) in im 0.954 * [taylor]: Taking taylor expansion of re in im 0.954 * [taylor]: Taking taylor expansion of re in im 0.954 * [taylor]: Taking taylor expansion of (* im im) in im 0.954 * [taylor]: Taking taylor expansion of im in im 0.954 * [taylor]: Taking taylor expansion of im in im 0.955 * [taylor]: Taking taylor expansion of (* 2.0 (+ re (hypot re im))) in re 0.955 * [taylor]: Taking taylor expansion of 2.0 in re 0.955 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.955 * [taylor]: Taking taylor expansion of re in re 0.955 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.955 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.955 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.955 * [taylor]: Taking taylor expansion of (* re re) in re 0.955 * [taylor]: Taking taylor expansion of re in re 0.955 * [taylor]: Taking taylor expansion of re in re 0.955 * [taylor]: Taking taylor expansion of (* im im) in re 0.955 * [taylor]: Taking taylor expansion of im in re 0.955 * [taylor]: Taking taylor expansion of im in re 0.956 * [taylor]: Taking taylor expansion of (* 2.0 (+ re (hypot re im))) in re 0.956 * [taylor]: Taking taylor expansion of 2.0 in re 0.956 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.956 * [taylor]: Taking taylor expansion of re in re 0.956 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.957 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.957 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.957 * [taylor]: Taking taylor expansion of (* re re) in re 0.957 * [taylor]: Taking taylor expansion of re in re 0.957 * [taylor]: Taking taylor expansion of re in re 0.957 * [taylor]: Taking taylor expansion of (* im im) in re 0.957 * [taylor]: Taking taylor expansion of im in re 0.957 * [taylor]: Taking taylor expansion of im in re 0.958 * [taylor]: Taking taylor expansion of (* 2.0 im) in im 0.958 * [taylor]: Taking taylor expansion of 2.0 in im 0.958 * [taylor]: Taking taylor expansion of im in im 0.959 * [taylor]: Taking taylor expansion of 2.0 in im 0.961 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 im)) in im 0.961 * [taylor]: Taking taylor expansion of 1.0 in im 0.962 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.962 * [taylor]: Taking taylor expansion of im in im 0.965 * [taylor]: Taking taylor expansion of 0 in im 0.967 * [approximate]: Taking taylor expansion of (* 2.0 (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in (re im) around 0 0.967 * [taylor]: Taking taylor expansion of (* 2.0 (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 0.967 * [taylor]: Taking taylor expansion of 2.0 in im 0.967 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 0.967 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.967 * [taylor]: Taking taylor expansion of re in im 0.967 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.967 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.967 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.967 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.967 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.967 * [taylor]: Taking taylor expansion of re in im 0.967 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.967 * [taylor]: Taking taylor expansion of re in im 0.967 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.967 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.967 * [taylor]: Taking taylor expansion of im in im 0.968 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.968 * [taylor]: Taking taylor expansion of im in im 0.970 * [taylor]: Taking taylor expansion of (* 2.0 (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 0.970 * [taylor]: Taking taylor expansion of 2.0 in re 0.970 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.970 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.970 * [taylor]: Taking taylor expansion of re in re 0.971 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.971 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.971 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.971 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.971 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.971 * [taylor]: Taking taylor expansion of re in re 0.971 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.971 * [taylor]: Taking taylor expansion of re in re 0.971 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.971 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.971 * [taylor]: Taking taylor expansion of im in re 0.972 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.972 * [taylor]: Taking taylor expansion of im in re 0.974 * [taylor]: Taking taylor expansion of (* 2.0 (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 0.974 * [taylor]: Taking taylor expansion of 2.0 in re 0.974 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.974 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.974 * [taylor]: Taking taylor expansion of re in re 0.974 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.974 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.975 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.975 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.975 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.975 * [taylor]: Taking taylor expansion of re in re 0.975 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.975 * [taylor]: Taking taylor expansion of re in re 0.975 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.975 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.975 * [taylor]: Taking taylor expansion of im in re 0.975 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.975 * [taylor]: Taking taylor expansion of im in re 0.978 * [taylor]: Taking taylor expansion of 4.0 in im 0.979 * [taylor]: Taking taylor expansion of 0 in im 0.983 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow im 2))) in im 0.983 * [taylor]: Taking taylor expansion of 1.0 in im 0.983 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.983 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.983 * [taylor]: Taking taylor expansion of im in im 0.988 * [taylor]: Taking taylor expansion of 0 in im 0.990 * [approximate]: Taking taylor expansion of (* 2.0 (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in (re im) around 0 0.990 * [taylor]: Taking taylor expansion of (* 2.0 (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 0.990 * [taylor]: Taking taylor expansion of 2.0 in im 0.990 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.990 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.990 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.990 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.991 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.991 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.991 * [taylor]: Taking taylor expansion of -1 in im 0.991 * [taylor]: Taking taylor expansion of re in im 0.991 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.991 * [taylor]: Taking taylor expansion of -1 in im 0.991 * [taylor]: Taking taylor expansion of re in im 0.991 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.991 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.991 * [taylor]: Taking taylor expansion of -1 in im 0.991 * [taylor]: Taking taylor expansion of im in im 0.991 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.991 * [taylor]: Taking taylor expansion of -1 in im 0.991 * [taylor]: Taking taylor expansion of im in im 0.994 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.994 * [taylor]: Taking taylor expansion of re in im 0.994 * [taylor]: Taking taylor expansion of (* 2.0 (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.994 * [taylor]: Taking taylor expansion of 2.0 in re 0.994 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.994 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.994 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.994 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.994 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.994 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.994 * [taylor]: Taking taylor expansion of -1 in re 0.994 * [taylor]: Taking taylor expansion of re in re 0.995 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.995 * [taylor]: Taking taylor expansion of -1 in re 0.995 * [taylor]: Taking taylor expansion of re in re 0.995 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.995 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.995 * [taylor]: Taking taylor expansion of -1 in re 0.995 * [taylor]: Taking taylor expansion of im in re 0.995 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.995 * [taylor]: Taking taylor expansion of -1 in re 0.995 * [taylor]: Taking taylor expansion of im in re 0.998 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.998 * [taylor]: Taking taylor expansion of re in re 0.998 * [taylor]: Taking taylor expansion of (* 2.0 (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.998 * [taylor]: Taking taylor expansion of 2.0 in re 0.998 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.998 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.998 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.998 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.998 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.998 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.998 * [taylor]: Taking taylor expansion of -1 in re 0.998 * [taylor]: Taking taylor expansion of re in re 0.998 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.998 * [taylor]: Taking taylor expansion of -1 in re 0.999 * [taylor]: Taking taylor expansion of re in re 0.999 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.999 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.999 * [taylor]: Taking taylor expansion of -1 in re 0.999 * [taylor]: Taking taylor expansion of im in re 0.999 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.999 * [taylor]: Taking taylor expansion of -1 in re 0.999 * [taylor]: Taking taylor expansion of im in re 1.002 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.002 * [taylor]: Taking taylor expansion of re in re 1.003 * [taylor]: Taking taylor expansion of 0 in im 1.004 * [taylor]: Taking taylor expansion of 0 in im 1.008 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow im 2))) in im 1.009 * [taylor]: Taking taylor expansion of 1.0 in im 1.009 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.009 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.009 * [taylor]: Taking taylor expansion of im in im 1.014 * [taylor]: Taking taylor expansion of 0 in im 1.016 * * * [progress]: simplifying candidates 1.017 * [simplify]: Simplifying using # : (expm1 (+ (* (sqrt 1) (hypot re im)) re)) (log1p (+ (* (sqrt 1) (hypot re im)) re)) (* (exp (* (sqrt 1) (hypot re im))) (exp re)) (log (+ (* (sqrt 1) (hypot re im)) re)) (exp (+ (* (sqrt 1) (hypot re im)) re)) (* (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (* (* (+ (* (sqrt 1) (hypot re im)) re) (+ (* (sqrt 1) (hypot re im)) re)) (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3)) (+ (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (- (* re re) (* (* (sqrt 1) (hypot re im)) re))) (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re)) (- (* (sqrt 1) (hypot re im)) re) (expm1 (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (log1p (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (log (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (exp (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (* (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (* (* (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (* 2.0 (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3)))) (sqrt (+ (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (- (* re re) (* (* (sqrt 1) (hypot re im)) re)))) (sqrt (* 2.0 (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re)))) (sqrt (- (* (sqrt 1) (hypot re im)) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (expm1 (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))) (log1p (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))) (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)) (+ (log 2.0) (log (+ (* (sqrt 1) (hypot re im)) re))) (log (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))) (exp (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))) (* (* (* 2.0 2.0) 2.0) (* (* (+ (* (sqrt 1) (hypot re im)) re) (+ (* (sqrt 1) (hypot re im)) re)) (+ (* (sqrt 1) (hypot re im)) re))) (* (cbrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (cbrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))) (* (* (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)) (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))) (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* 2.0 (* (sqrt 1) (hypot re im))) (* 2.0 re) (* (* (sqrt 1) (hypot re im)) 2.0) (* re 2.0) (* 2.0 (* (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (cbrt (+ (* (sqrt 1) (hypot re im)) re)))) (* 2.0 (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* 2.0 1) (* (cbrt 2.0) (+ (* (sqrt 1) (hypot re im)) re)) (* (sqrt 2.0) (+ (* (sqrt 1) (hypot re im)) re)) (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)) (* 2.0 (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3))) (* 2.0 (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re))) (+ re im) (* 2 re) 0 (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0 (+ (* 2.0 re) (* 2.0 im)) (* 4.0 re) 0 1.021 * * [simplify]: iteration 0 : 270 enodes (cost 417 ) 1.027 * * [simplify]: iteration 1 : 1076 enodes (cost 370 ) 1.053 * * [simplify]: iteration 2 : 5002 enodes (cost 357 ) 1.055 * [simplify]: Simplified to: (expm1 (+ (* (sqrt 1) (hypot re im)) re)) (log1p (+ (* (sqrt 1) (hypot re im)) re)) (exp (+ (* (sqrt 1) (hypot re im)) re)) (log (* (fma (sqrt 1) (hypot re im) re) 1)) (exp (+ (* (sqrt 1) (hypot re im)) re)) (* (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (pow (fma (sqrt 1) (hypot re im) re) 3) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3)) (fma 1 (* (hypot re im) (hypot re im)) (* re (- re (* (sqrt 1) (hypot re im))))) (- (* (* (hypot re im) (hypot re im)) 1) (pow re 2)) (- (* (sqrt 1) (hypot re im)) re) (expm1 (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (log1p (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (log (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (exp (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (* (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (pow (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))) 3) (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (* 2.0 (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3)))) (sqrt (+ (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (- (* re re) (* (* (sqrt 1) (hypot re im)) re)))) (sqrt (* 2.0 (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re)))) (sqrt (- (* (sqrt 1) (hypot re im)) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (expm1 (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))) (log1p (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))) (* (fma (sqrt 1) (hypot re im) re) 2.0) (log (* (fma (sqrt 1) (hypot re im) re) 2.0)) (log (* (fma (sqrt 1) (hypot re im) re) 2.0)) (pow (exp 2.0) (fma (sqrt 1) (hypot re im) re)) (pow (* (fma (sqrt 1) (hypot re im) re) 2.0) 3) (* (cbrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (cbrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))) (pow (* (fma (sqrt 1) (hypot re im) re) 2.0) 3) (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (hypot re im) 2.0) (* 2.0 re) (* (hypot re im) 2.0) (* 2.0 re) (* 2.0 (* (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (cbrt (+ (* (sqrt 1) (hypot re im)) re)))) (* 2.0 (sqrt (+ (* (sqrt 1) (hypot re im)) re))) 2.0 (* (fma (sqrt 1) (hypot re im) re) (cbrt 2.0)) (* (fma (sqrt 1) (hypot re im) re) (sqrt 2.0)) (* (fma (sqrt 1) (hypot re im) re) 2.0) (* 2.0 (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3))) (fma 2.0 (* (* (hypot re im) (hypot re im)) 1) (* 2.0 (- (* re re)))) (+ re im) (* 2 re) 0 (* (* +nan.0 (sqrt 2.0)) (+ (- (* re re)) (- im re))) (fma (- (sqrt 2.0)) +nan.0 (* +nan.0 (- (/ (sqrt 2.0) (pow re 2)) (/ (sqrt 2.0) re)))) 0 (fma 2.0 re (* 2.0 im)) (* 4.0 re) 0 1.055 * * * [progress]: adding candidates to table 1.233 * * [progress]: iteration 3 / 4 1.233 * * * [progress]: picking best candidate 1.243 * * * * [pick]: Picked # 1.243 * * * [progress]: localizing error 1.256 * * * [progress]: generating rewritten candidates 1.256 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1 2) 1.261 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 2) 1.266 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.286 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 1.296 * * * [progress]: generating series expansions 1.296 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1 2) 1.297 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 1.297 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.297 * [taylor]: Taking taylor expansion of re in im 1.297 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.297 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.297 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.297 * [taylor]: Taking taylor expansion of (* re re) in im 1.297 * [taylor]: Taking taylor expansion of re in im 1.297 * [taylor]: Taking taylor expansion of re in im 1.297 * [taylor]: Taking taylor expansion of (* im im) in im 1.297 * [taylor]: Taking taylor expansion of im in im 1.297 * [taylor]: Taking taylor expansion of im in im 1.299 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.299 * [taylor]: Taking taylor expansion of re in re 1.299 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.299 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.299 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.299 * [taylor]: Taking taylor expansion of (* re re) in re 1.299 * [taylor]: Taking taylor expansion of re in re 1.299 * [taylor]: Taking taylor expansion of re in re 1.299 * [taylor]: Taking taylor expansion of (* im im) in re 1.299 * [taylor]: Taking taylor expansion of im in re 1.299 * [taylor]: Taking taylor expansion of im in re 1.304 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.304 * [taylor]: Taking taylor expansion of re in re 1.304 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.304 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.304 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.304 * [taylor]: Taking taylor expansion of (* re re) in re 1.304 * [taylor]: Taking taylor expansion of re in re 1.304 * [taylor]: Taking taylor expansion of re in re 1.304 * [taylor]: Taking taylor expansion of (* im im) in re 1.304 * [taylor]: Taking taylor expansion of im in re 1.304 * [taylor]: Taking taylor expansion of im in re 1.306 * [taylor]: Taking taylor expansion of im in im 1.306 * [taylor]: Taking taylor expansion of 1 in im 1.308 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.308 * [taylor]: Taking taylor expansion of 1/2 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 0 in im 1.312 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 1.312 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 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 (hypot (/ 1 re) (/ 1 im)) in im 1.312 * [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 1.313 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.313 * [taylor]: Taking taylor expansion of im in im 1.316 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.316 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.316 * [taylor]: Taking taylor expansion of re in re 1.316 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.316 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.316 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.316 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.316 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.316 * [taylor]: Taking taylor expansion of re in re 1.316 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.316 * [taylor]: Taking taylor expansion of re in re 1.317 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.317 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.317 * [taylor]: Taking taylor expansion of im in re 1.317 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.317 * [taylor]: Taking taylor expansion of im in re 1.319 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.319 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.319 * [taylor]: Taking taylor expansion of re in re 1.320 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.320 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.320 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.320 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.320 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.320 * [taylor]: Taking taylor expansion of re in re 1.320 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.320 * [taylor]: Taking taylor expansion of re in re 1.320 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.320 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.320 * [taylor]: Taking taylor expansion of im in re 1.320 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.320 * [taylor]: Taking taylor expansion of im in re 1.323 * [taylor]: Taking taylor expansion of 2 in im 1.324 * [taylor]: Taking taylor expansion of 0 in im 1.327 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.327 * [taylor]: Taking taylor expansion of 1/2 in im 1.327 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.327 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.327 * [taylor]: Taking taylor expansion of im in im 1.332 * [taylor]: Taking taylor expansion of 0 in im 1.334 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 1.334 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.334 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.334 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.334 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.334 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.334 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.334 * [taylor]: Taking taylor expansion of -1 in im 1.334 * [taylor]: Taking taylor expansion of re in im 1.334 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.334 * [taylor]: Taking taylor expansion of -1 in im 1.334 * [taylor]: Taking taylor expansion of re in im 1.334 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.334 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.334 * [taylor]: Taking taylor expansion of -1 in im 1.334 * [taylor]: Taking taylor expansion of im in im 1.334 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.334 * [taylor]: Taking taylor expansion of -1 in im 1.334 * [taylor]: Taking taylor expansion of im in im 1.337 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.337 * [taylor]: Taking taylor expansion of re in im 1.337 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 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 -1 in re 1.338 * [taylor]: Taking taylor expansion of re in re 1.338 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.338 * [taylor]: Taking taylor expansion of -1 in re 1.338 * [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 -1 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 -1 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 re in re 1.341 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.341 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.341 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.341 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.341 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.341 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.341 * [taylor]: Taking taylor expansion of -1 in re 1.341 * [taylor]: Taking taylor expansion of re in re 1.342 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.342 * [taylor]: Taking taylor expansion of -1 in re 1.342 * [taylor]: Taking taylor expansion of re in re 1.342 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.342 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.342 * [taylor]: Taking taylor expansion of -1 in re 1.342 * [taylor]: Taking taylor expansion of im in re 1.342 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.342 * [taylor]: Taking taylor expansion of -1 in re 1.342 * [taylor]: Taking taylor expansion of im in re 1.345 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.345 * [taylor]: Taking taylor expansion of re in re 1.346 * [taylor]: Taking taylor expansion of 0 in im 1.346 * [taylor]: Taking taylor expansion of 0 in im 1.350 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.350 * [taylor]: Taking taylor expansion of 1/2 in im 1.350 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.350 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.350 * [taylor]: Taking taylor expansion of im in im 1.355 * [taylor]: Taking taylor expansion of 0 in im 1.356 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 2) 1.357 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 1.357 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.357 * [taylor]: Taking taylor expansion of re in im 1.357 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.357 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.357 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.357 * [taylor]: Taking taylor expansion of (* re re) in im 1.357 * [taylor]: Taking taylor expansion of re in im 1.357 * [taylor]: Taking taylor expansion of re in im 1.357 * [taylor]: Taking taylor expansion of (* im im) in im 1.357 * [taylor]: Taking taylor expansion of im in im 1.357 * [taylor]: Taking taylor expansion of im in im 1.358 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.358 * [taylor]: Taking taylor expansion of re in re 1.358 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.358 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.358 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.358 * [taylor]: Taking taylor expansion of (* re re) in re 1.358 * [taylor]: Taking taylor expansion of re in re 1.358 * [taylor]: Taking taylor expansion of re in re 1.358 * [taylor]: Taking taylor expansion of (* im im) in re 1.358 * [taylor]: Taking taylor expansion of im in re 1.358 * [taylor]: Taking taylor expansion of im in re 1.360 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.360 * [taylor]: Taking taylor expansion of re in re 1.360 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.360 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.360 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.360 * [taylor]: Taking taylor expansion of (* re re) in re 1.360 * [taylor]: Taking taylor expansion of re in re 1.360 * [taylor]: Taking taylor expansion of re in re 1.360 * [taylor]: Taking taylor expansion of (* im im) in re 1.360 * [taylor]: Taking taylor expansion of im in re 1.360 * [taylor]: Taking taylor expansion of im in re 1.361 * [taylor]: Taking taylor expansion of im in im 1.361 * [taylor]: Taking taylor expansion of 1 in im 1.363 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.363 * [taylor]: Taking taylor expansion of 1/2 in im 1.363 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.363 * [taylor]: Taking taylor expansion of im in im 1.365 * [taylor]: Taking taylor expansion of 0 in im 1.367 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 1.367 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 1.367 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.367 * [taylor]: Taking taylor expansion of re in im 1.367 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.367 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.367 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.367 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.367 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.367 * [taylor]: Taking taylor expansion of re in im 1.367 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.367 * [taylor]: Taking taylor expansion of re in im 1.367 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.367 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.367 * [taylor]: Taking taylor expansion of im in im 1.367 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.368 * [taylor]: Taking taylor expansion of im in im 1.370 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.370 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.370 * [taylor]: Taking taylor expansion of re in re 1.371 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.371 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.371 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.371 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.371 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.371 * [taylor]: Taking taylor expansion of re in re 1.371 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.371 * [taylor]: Taking taylor expansion of re in re 1.371 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.371 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.371 * [taylor]: Taking taylor expansion of im in re 1.371 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.371 * [taylor]: Taking taylor expansion of im in re 1.374 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.374 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.374 * [taylor]: Taking taylor expansion of re in re 1.374 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.374 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.374 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.374 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.374 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.374 * [taylor]: Taking taylor expansion of re in re 1.375 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.375 * [taylor]: Taking taylor expansion of re in re 1.375 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.375 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.375 * [taylor]: Taking taylor expansion of im in re 1.375 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.375 * [taylor]: Taking taylor expansion of im in re 1.378 * [taylor]: Taking taylor expansion of 2 in im 1.378 * [taylor]: Taking taylor expansion of 0 in im 1.381 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.381 * [taylor]: Taking taylor expansion of 1/2 in im 1.382 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.382 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.382 * [taylor]: Taking taylor expansion of im in im 1.391 * [taylor]: Taking taylor expansion of 0 in im 1.393 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 1.394 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.394 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.394 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.394 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.394 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.394 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.394 * [taylor]: Taking taylor expansion of -1 in im 1.394 * [taylor]: Taking taylor expansion of re in im 1.394 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.394 * [taylor]: Taking taylor expansion of -1 in im 1.394 * [taylor]: Taking taylor expansion of re in im 1.394 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.394 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.394 * [taylor]: Taking taylor expansion of -1 in im 1.394 * [taylor]: Taking taylor expansion of im in im 1.394 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.394 * [taylor]: Taking taylor expansion of -1 in im 1.394 * [taylor]: Taking taylor expansion of im in im 1.397 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.397 * [taylor]: Taking taylor expansion of re in im 1.397 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.397 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.397 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.397 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.397 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.397 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.397 * [taylor]: Taking taylor expansion of -1 in re 1.397 * [taylor]: Taking taylor expansion of re in re 1.398 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.398 * [taylor]: Taking taylor expansion of -1 in re 1.398 * [taylor]: Taking taylor expansion of re in re 1.398 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.398 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.398 * [taylor]: Taking taylor expansion of -1 in re 1.398 * [taylor]: Taking taylor expansion of im in re 1.398 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.398 * [taylor]: Taking taylor expansion of -1 in re 1.398 * [taylor]: Taking taylor expansion of im in re 1.401 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.401 * [taylor]: Taking taylor expansion of re in re 1.401 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.401 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.401 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.401 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.401 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.401 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.401 * [taylor]: Taking taylor expansion of -1 in re 1.401 * [taylor]: Taking taylor expansion of re in re 1.401 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.402 * [taylor]: Taking taylor expansion of -1 in re 1.402 * [taylor]: Taking taylor expansion of re in re 1.402 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.402 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.402 * [taylor]: Taking taylor expansion of -1 in re 1.402 * [taylor]: Taking taylor expansion of im in re 1.402 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.402 * [taylor]: Taking taylor expansion of -1 in re 1.402 * [taylor]: Taking taylor expansion of im in re 1.405 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.405 * [taylor]: Taking taylor expansion of re in re 1.406 * [taylor]: Taking taylor expansion of 0 in im 1.407 * [taylor]: Taking taylor expansion of 0 in im 1.410 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.410 * [taylor]: Taking taylor expansion of 1/2 in im 1.410 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.410 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.410 * [taylor]: Taking taylor expansion of im in im 1.415 * [taylor]: Taking taylor expansion of 0 in im 1.416 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.417 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0 1.417 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im 1.417 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 1.417 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.417 * [taylor]: Taking taylor expansion of re in im 1.417 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.417 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.417 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.418 * [taylor]: Taking taylor expansion of (* re re) in im 1.418 * [taylor]: Taking taylor expansion of re in im 1.418 * [taylor]: Taking taylor expansion of re in im 1.418 * [taylor]: Taking taylor expansion of (* im im) in im 1.418 * [taylor]: Taking taylor expansion of im in im 1.418 * [taylor]: Taking taylor expansion of im in im 1.419 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.419 * [taylor]: Taking taylor expansion of 2.0 in im 1.420 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 1.420 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 1.420 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.420 * [taylor]: Taking taylor expansion of re in re 1.420 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.420 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.420 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.420 * [taylor]: Taking taylor expansion of (* re re) in re 1.420 * [taylor]: Taking taylor expansion of re in re 1.420 * [taylor]: Taking taylor expansion of re in re 1.420 * [taylor]: Taking taylor expansion of (* im im) in re 1.420 * [taylor]: Taking taylor expansion of im in re 1.420 * [taylor]: Taking taylor expansion of im in re 1.421 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.422 * [taylor]: Taking taylor expansion of 2.0 in re 1.422 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 1.422 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 1.422 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.422 * [taylor]: Taking taylor expansion of re in re 1.422 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.422 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.422 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.422 * [taylor]: Taking taylor expansion of (* re re) in re 1.422 * [taylor]: Taking taylor expansion of re in re 1.422 * [taylor]: Taking taylor expansion of re in re 1.422 * [taylor]: Taking taylor expansion of (* im im) in re 1.422 * [taylor]: Taking taylor expansion of im in re 1.422 * [taylor]: Taking taylor expansion of im in re 1.424 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.424 * [taylor]: Taking taylor expansion of 2.0 in re 1.425 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 1.425 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.425 * [taylor]: Taking taylor expansion of 2.0 in im 1.426 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.426 * [taylor]: Taking taylor expansion of im in im 1.427 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 1.428 * [taylor]: Taking taylor expansion of 1/2 in im 1.428 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 1.428 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.428 * [taylor]: Taking taylor expansion of 2.0 in im 1.428 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.428 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.428 * [taylor]: Taking taylor expansion of im in im 1.439 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 1.439 * [taylor]: Taking taylor expansion of 1/8 in im 1.439 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 1.439 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.439 * [taylor]: Taking taylor expansion of 2.0 in im 1.440 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 1.440 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 1.440 * [taylor]: Taking taylor expansion of (pow im 3) in im 1.440 * [taylor]: Taking taylor expansion of im in im 1.456 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in (re im) around 0 1.456 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in im 1.456 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 1.456 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 1.456 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.456 * [taylor]: Taking taylor expansion of re in im 1.456 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.456 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.456 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.456 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.456 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.456 * [taylor]: Taking taylor expansion of re in im 1.456 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.456 * [taylor]: Taking taylor expansion of re in im 1.456 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.456 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.456 * [taylor]: Taking taylor expansion of im in im 1.457 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.457 * [taylor]: Taking taylor expansion of im in im 1.461 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.461 * [taylor]: Taking taylor expansion of 2.0 in im 1.461 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 1.461 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 1.461 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.461 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.461 * [taylor]: Taking taylor expansion of re in re 1.462 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.462 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.462 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.462 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.462 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.462 * [taylor]: Taking taylor expansion of re in re 1.462 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.462 * [taylor]: Taking taylor expansion of re in re 1.462 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.462 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.462 * [taylor]: Taking taylor expansion of im in re 1.462 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.463 * [taylor]: Taking taylor expansion of im in re 1.466 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.466 * [taylor]: Taking taylor expansion of 2.0 in re 1.467 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 1.467 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 1.467 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.467 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.467 * [taylor]: Taking taylor expansion of re in re 1.467 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.467 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.467 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.467 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.467 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.467 * [taylor]: Taking taylor expansion of re in re 1.468 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.468 * [taylor]: Taking taylor expansion of re in re 1.468 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.468 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.468 * [taylor]: Taking taylor expansion of im in re 1.468 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.468 * [taylor]: Taking taylor expansion of im in re 1.477 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.477 * [taylor]: Taking taylor expansion of 2.0 in re 1.478 * [taylor]: Taking taylor expansion of 0 in im 1.480 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.480 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.480 * [taylor]: Taking taylor expansion of +nan.0 in im 1.480 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.480 * [taylor]: Taking taylor expansion of 2.0 in im 1.486 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.486 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.486 * [taylor]: Taking taylor expansion of +nan.0 in im 1.486 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.486 * [taylor]: Taking taylor expansion of 2.0 in im 1.496 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 1.496 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 1.496 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.496 * [taylor]: Taking taylor expansion of +nan.0 in im 1.496 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.496 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.496 * [taylor]: Taking taylor expansion of 2.0 in im 1.497 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.497 * [taylor]: Taking taylor expansion of im in im 1.498 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.498 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.498 * [taylor]: Taking taylor expansion of +nan.0 in im 1.498 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.498 * [taylor]: Taking taylor expansion of 2.0 in im 1.509 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 1.510 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 1.510 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.510 * [taylor]: Taking taylor expansion of +nan.0 in im 1.510 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.510 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.510 * [taylor]: Taking taylor expansion of 2.0 in im 1.510 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.510 * [taylor]: Taking taylor expansion of im in im 1.511 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.511 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.511 * [taylor]: Taking taylor expansion of +nan.0 in im 1.511 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.511 * [taylor]: Taking taylor expansion of 2.0 in im 1.525 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 1.525 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 1.525 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.525 * [taylor]: Taking taylor expansion of 2.0 in im 1.526 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 1.526 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.526 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.526 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.526 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.526 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.526 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.526 * [taylor]: Taking taylor expansion of -1 in im 1.526 * [taylor]: Taking taylor expansion of re in im 1.526 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.526 * [taylor]: Taking taylor expansion of -1 in im 1.526 * [taylor]: Taking taylor expansion of re in im 1.526 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.526 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.526 * [taylor]: Taking taylor expansion of -1 in im 1.526 * [taylor]: Taking taylor expansion of im in im 1.526 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.526 * [taylor]: Taking taylor expansion of -1 in im 1.526 * [taylor]: Taking taylor expansion of im in im 1.529 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.529 * [taylor]: Taking taylor expansion of re in im 1.531 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 1.531 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.531 * [taylor]: Taking taylor expansion of 2.0 in re 1.531 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.531 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.531 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.531 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.531 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.531 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.531 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.531 * [taylor]: Taking taylor expansion of -1 in re 1.531 * [taylor]: Taking taylor expansion of re in re 1.532 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.532 * [taylor]: Taking taylor expansion of -1 in re 1.532 * [taylor]: Taking taylor expansion of re in re 1.532 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.532 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.532 * [taylor]: Taking taylor expansion of -1 in re 1.532 * [taylor]: Taking taylor expansion of im in re 1.532 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.532 * [taylor]: Taking taylor expansion of -1 in re 1.532 * [taylor]: Taking taylor expansion of im in re 1.535 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.535 * [taylor]: Taking taylor expansion of re in re 1.540 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 1.540 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.540 * [taylor]: Taking taylor expansion of 2.0 in re 1.541 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.541 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.541 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.541 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.541 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.541 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.541 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.541 * [taylor]: Taking taylor expansion of -1 in re 1.541 * [taylor]: Taking taylor expansion of re in re 1.542 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.542 * [taylor]: Taking taylor expansion of -1 in re 1.542 * [taylor]: Taking taylor expansion of re in re 1.542 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.542 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.542 * [taylor]: Taking taylor expansion of -1 in re 1.542 * [taylor]: Taking taylor expansion of im in re 1.542 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.542 * [taylor]: Taking taylor expansion of -1 in re 1.542 * [taylor]: Taking taylor expansion of im in re 1.545 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.545 * [taylor]: Taking taylor expansion of re in re 1.550 * [taylor]: Taking taylor expansion of 0 in im 1.551 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 1.551 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.551 * [taylor]: Taking taylor expansion of +nan.0 in im 1.551 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.551 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.551 * [taylor]: Taking taylor expansion of 2.0 in im 1.552 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.552 * [taylor]: Taking taylor expansion of im in im 1.566 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 1.566 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.567 * [taylor]: Taking taylor expansion of +nan.0 in im 1.567 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.567 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.567 * [taylor]: Taking taylor expansion of 2.0 in im 1.567 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.567 * [taylor]: Taking taylor expansion of im in im 1.584 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 1.584 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 1.584 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.584 * [taylor]: Taking taylor expansion of +nan.0 in im 1.584 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.584 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.584 * [taylor]: Taking taylor expansion of 2.0 in im 1.585 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.585 * [taylor]: Taking taylor expansion of im in im 1.586 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 1.586 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 1.586 * [taylor]: Taking taylor expansion of +nan.0 in im 1.586 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 1.586 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.586 * [taylor]: Taking taylor expansion of 2.0 in im 1.586 * [taylor]: Taking taylor expansion of (pow im 6) in im 1.586 * [taylor]: Taking taylor expansion of im in im 1.609 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 1.610 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0 1.610 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im 1.610 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 1.610 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.610 * [taylor]: Taking taylor expansion of re in im 1.610 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.610 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.610 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.610 * [taylor]: Taking taylor expansion of (* re re) in im 1.610 * [taylor]: Taking taylor expansion of re in im 1.610 * [taylor]: Taking taylor expansion of re in im 1.610 * [taylor]: Taking taylor expansion of (* im im) in im 1.610 * [taylor]: Taking taylor expansion of im in im 1.610 * [taylor]: Taking taylor expansion of im in im 1.611 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.611 * [taylor]: Taking taylor expansion of 2.0 in im 1.612 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 1.612 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 1.612 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.612 * [taylor]: Taking taylor expansion of re in re 1.612 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.612 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.612 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.612 * [taylor]: Taking taylor expansion of (* re re) in re 1.612 * [taylor]: Taking taylor expansion of re in re 1.612 * [taylor]: Taking taylor expansion of re in re 1.612 * [taylor]: Taking taylor expansion of (* im im) in re 1.612 * [taylor]: Taking taylor expansion of im in re 1.612 * [taylor]: Taking taylor expansion of im in re 1.614 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.614 * [taylor]: Taking taylor expansion of 2.0 in re 1.615 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 1.615 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 1.615 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.615 * [taylor]: Taking taylor expansion of re in re 1.615 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.615 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.615 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.615 * [taylor]: Taking taylor expansion of (* re re) in re 1.615 * [taylor]: Taking taylor expansion of re in re 1.615 * [taylor]: Taking taylor expansion of re in re 1.615 * [taylor]: Taking taylor expansion of (* im im) in re 1.615 * [taylor]: Taking taylor expansion of im in re 1.615 * [taylor]: Taking taylor expansion of im in re 1.616 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.616 * [taylor]: Taking taylor expansion of 2.0 in re 1.617 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 1.617 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.617 * [taylor]: Taking taylor expansion of 2.0 in im 1.618 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.618 * [taylor]: Taking taylor expansion of im in im 1.620 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 1.620 * [taylor]: Taking taylor expansion of 1/2 in im 1.620 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 1.620 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.620 * [taylor]: Taking taylor expansion of 2.0 in im 1.621 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.621 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.621 * [taylor]: Taking taylor expansion of im in im 1.632 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 1.632 * [taylor]: Taking taylor expansion of 1/8 in im 1.632 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 1.632 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.632 * [taylor]: Taking taylor expansion of 2.0 in im 1.633 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 1.633 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 1.633 * [taylor]: Taking taylor expansion of (pow im 3) in im 1.633 * [taylor]: Taking taylor expansion of im in im 1.654 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in (re im) around 0 1.655 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in im 1.655 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 1.655 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 1.655 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.655 * [taylor]: Taking taylor expansion of re in im 1.655 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.655 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.655 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.655 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.655 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.655 * [taylor]: Taking taylor expansion of re in im 1.655 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.655 * [taylor]: Taking taylor expansion of re in im 1.655 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.655 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.655 * [taylor]: Taking taylor expansion of im in im 1.655 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.655 * [taylor]: Taking taylor expansion of im in im 1.660 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.660 * [taylor]: Taking taylor expansion of 2.0 in im 1.660 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 1.660 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 1.660 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.660 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.660 * [taylor]: Taking taylor expansion of re in re 1.661 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.661 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.661 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.661 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.661 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.661 * [taylor]: Taking taylor expansion of re in re 1.661 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.661 * [taylor]: Taking taylor expansion of re in re 1.661 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.661 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.661 * [taylor]: Taking taylor expansion of im in re 1.661 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.661 * [taylor]: Taking taylor expansion of im in re 1.665 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.665 * [taylor]: Taking taylor expansion of 2.0 in re 1.666 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 1.666 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 1.666 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.666 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.666 * [taylor]: Taking taylor expansion of re in re 1.666 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.666 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.666 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.666 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.666 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.666 * [taylor]: Taking taylor expansion of re in re 1.667 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.667 * [taylor]: Taking taylor expansion of re in re 1.667 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.667 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.667 * [taylor]: Taking taylor expansion of im in re 1.667 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.667 * [taylor]: Taking taylor expansion of im in re 1.671 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.671 * [taylor]: Taking taylor expansion of 2.0 in re 1.672 * [taylor]: Taking taylor expansion of 0 in im 1.673 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.673 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.673 * [taylor]: Taking taylor expansion of +nan.0 in im 1.673 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.673 * [taylor]: Taking taylor expansion of 2.0 in im 1.679 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.679 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.679 * [taylor]: Taking taylor expansion of +nan.0 in im 1.679 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.679 * [taylor]: Taking taylor expansion of 2.0 in im 1.688 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 1.688 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 1.688 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.688 * [taylor]: Taking taylor expansion of +nan.0 in im 1.688 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.688 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.688 * [taylor]: Taking taylor expansion of 2.0 in im 1.689 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.689 * [taylor]: Taking taylor expansion of im in im 1.690 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.690 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.690 * [taylor]: Taking taylor expansion of +nan.0 in im 1.690 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.690 * [taylor]: Taking taylor expansion of 2.0 in im 1.701 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 1.702 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 1.702 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.702 * [taylor]: Taking taylor expansion of +nan.0 in im 1.702 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.702 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.702 * [taylor]: Taking taylor expansion of 2.0 in im 1.702 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.702 * [taylor]: Taking taylor expansion of im in im 1.703 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.703 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.703 * [taylor]: Taking taylor expansion of +nan.0 in im 1.703 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.703 * [taylor]: Taking taylor expansion of 2.0 in im 1.717 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 1.717 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 1.717 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.717 * [taylor]: Taking taylor expansion of 2.0 in im 1.718 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 1.718 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.718 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.718 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.718 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.718 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.718 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.718 * [taylor]: Taking taylor expansion of -1 in im 1.718 * [taylor]: Taking taylor expansion of re in im 1.718 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.718 * [taylor]: Taking taylor expansion of -1 in im 1.718 * [taylor]: Taking taylor expansion of re in im 1.718 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.718 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.718 * [taylor]: Taking taylor expansion of -1 in im 1.718 * [taylor]: Taking taylor expansion of im in im 1.718 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.718 * [taylor]: Taking taylor expansion of -1 in im 1.718 * [taylor]: Taking taylor expansion of im in im 1.721 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.721 * [taylor]: Taking taylor expansion of re in im 1.723 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 1.723 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.723 * [taylor]: Taking taylor expansion of 2.0 in re 1.723 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.723 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.723 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.724 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.724 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.724 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.724 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.724 * [taylor]: Taking taylor expansion of -1 in re 1.724 * [taylor]: Taking taylor expansion of re in re 1.724 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.724 * [taylor]: Taking taylor expansion of -1 in re 1.724 * [taylor]: Taking taylor expansion of re in re 1.724 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.724 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.724 * [taylor]: Taking taylor expansion of -1 in re 1.724 * [taylor]: Taking taylor expansion of im in re 1.724 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.724 * [taylor]: Taking taylor expansion of -1 in re 1.724 * [taylor]: Taking taylor expansion of im in re 1.727 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.727 * [taylor]: Taking taylor expansion of re in re 1.739 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 1.739 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.739 * [taylor]: Taking taylor expansion of 2.0 in re 1.739 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.739 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.740 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.740 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.740 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.740 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.740 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.740 * [taylor]: Taking taylor expansion of -1 in re 1.740 * [taylor]: Taking taylor expansion of re in re 1.740 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.740 * [taylor]: Taking taylor expansion of -1 in re 1.740 * [taylor]: Taking taylor expansion of re in re 1.740 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.740 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.740 * [taylor]: Taking taylor expansion of -1 in re 1.740 * [taylor]: Taking taylor expansion of im in re 1.740 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.740 * [taylor]: Taking taylor expansion of -1 in re 1.740 * [taylor]: Taking taylor expansion of im in re 1.743 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.743 * [taylor]: Taking taylor expansion of re in re 1.749 * [taylor]: Taking taylor expansion of 0 in im 1.750 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 1.750 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.750 * [taylor]: Taking taylor expansion of +nan.0 in im 1.750 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.750 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.750 * [taylor]: Taking taylor expansion of 2.0 in im 1.750 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.750 * [taylor]: Taking taylor expansion of im in im 1.758 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 1.758 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.758 * [taylor]: Taking taylor expansion of +nan.0 in im 1.758 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.758 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.758 * [taylor]: Taking taylor expansion of 2.0 in im 1.759 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.759 * [taylor]: Taking taylor expansion of im in im 1.775 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 1.775 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 1.775 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.775 * [taylor]: Taking taylor expansion of +nan.0 in im 1.775 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.775 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.775 * [taylor]: Taking taylor expansion of 2.0 in im 1.776 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.776 * [taylor]: Taking taylor expansion of im in im 1.777 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 1.777 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 1.777 * [taylor]: Taking taylor expansion of +nan.0 in im 1.777 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 1.777 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.777 * [taylor]: Taking taylor expansion of 2.0 in im 1.778 * [taylor]: Taking taylor expansion of (pow im 6) in im 1.778 * [taylor]: Taking taylor expansion of im in im 1.801 * * * [progress]: simplifying candidates 1.802 * [simplify]: Simplifying using # : (expm1 (+ (* (sqrt 1) (hypot re im)) re)) (log1p (+ (* (sqrt 1) (hypot re im)) re)) (* (exp (* (sqrt 1) (hypot re im))) (exp re)) (log (+ (* (sqrt 1) (hypot re im)) re)) (exp (+ (* (sqrt 1) (hypot re im)) re)) (* (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (* (* (+ (* (sqrt 1) (hypot re im)) re) (+ (* (sqrt 1) (hypot re im)) re)) (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3)) (+ (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (- (* re re) (* (* (sqrt 1) (hypot re im)) re))) (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re)) (- (* (sqrt 1) (hypot re im)) re) (expm1 (+ (* (sqrt 1) (hypot re im)) re)) (log1p (+ (* (sqrt 1) (hypot re im)) re)) (* (exp (* (sqrt 1) (hypot re im))) (exp re)) (log (+ (* (sqrt 1) (hypot re im)) re)) (exp (+ (* (sqrt 1) (hypot re im)) re)) (* (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (* (* (+ (* (sqrt 1) (hypot re im)) re) (+ (* (sqrt 1) (hypot re im)) re)) (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3)) (+ (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (- (* re re) (* (* (sqrt 1) (hypot re im)) re))) (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re)) (- (* (sqrt 1) (hypot re im)) re) (expm1 (* (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) (log1p (* (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (* (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (* (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)) (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (* (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)) (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))) (* (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)) (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))) (* (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)) (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))) (* (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)) (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))) (+ 1 1) (+ (log (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (log (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) (log (* (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) (exp (* (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) (* (* (* (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (* (* (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) (* (cbrt (* (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) (cbrt (* (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))))) (cbrt (* (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) (* (* (* (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (* (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) (* (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) (* (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (* (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) (sqrt (* (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) (* (sqrt (sqrt (* 2.0 (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3))))) (sqrt (sqrt (* 2.0 (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3)))))) (* (sqrt (sqrt (+ (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (- (* re re) (* (* (sqrt 1) (hypot re im)) re))))) (sqrt (sqrt (+ (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (- (* re re) (* (* (sqrt 1) (hypot re im)) re)))))) (* (sqrt (sqrt (* 2.0 (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3))))) (sqrt (sqrt (* 2.0 (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re)))))) (* (sqrt (sqrt (+ (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (- (* re re) (* (* (sqrt 1) (hypot re im)) re))))) (sqrt (sqrt (- (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (* 2.0 (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re))))) (sqrt (sqrt (* 2.0 (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3)))))) (* (sqrt (sqrt (- (* (sqrt 1) (hypot re im)) re))) (sqrt (sqrt (+ (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (- (* re re) (* (* (sqrt 1) (hypot re im)) re)))))) (* (sqrt (sqrt (* 2.0 (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re))))) (sqrt (sqrt (* 2.0 (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re)))))) (* (sqrt (sqrt (- (* (sqrt 1) (hypot re im)) re))) (sqrt (sqrt (- (* (sqrt 1) (hypot re im)) re)))) (* (* (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) (* (sqrt (* (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) (sqrt (* (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))))) (* (sqrt (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (sqrt (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) (* (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) (* (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) (* (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (* (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) (* (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) (* (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) (* (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) (* 1 1) (* (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (* (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) (* (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) (* (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) (* (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) (* (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) (* (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) (* (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) (* (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) (* 2 1/2) (* 2 1) (* 2 (/ 1/2 2)) (* 2 (/ 1 2)) (* 2 (/ (/ 1 2) 2)) (* 2 (/ (/ 1 2) 2)) (* 2 (/ (/ 1 2) 2)) (* 2 (/ (/ 1 2) 2)) (* (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))))) (* (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (* (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))))) (* (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) (* (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt 1)) (* (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) (* (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) 1) (* (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (* (sqrt (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (* (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (* (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (* (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (* (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (* (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (* (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3)))))) (* (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re)))))) (* (sqrt (sqrt (* 2.0 (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3))))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (* (sqrt (sqrt (* 2.0 (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re))))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (expm1 (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (log1p (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (log (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (exp (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (* (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (* (* (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (* 2.0 (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3)))) (sqrt (+ (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (- (* re re) (* (* (sqrt 1) (hypot re im)) re)))) (sqrt (* 2.0 (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re)))) (sqrt (- (* (sqrt 1) (hypot re im)) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (+ re im) (* 2 re) 0 (+ re im) (* 2 re) 0 (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0 (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0 1.811 * * [simplify]: iteration 0 : 321 enodes (cost 1124 ) 1.818 * * [simplify]: iteration 1 : 1273 enodes (cost 1017 ) 1.847 * * [simplify]: iteration 2 : 5001 enodes (cost 960 ) 1.859 * [simplify]: Simplified to: (expm1 (+ (* (sqrt 1) (hypot re im)) re)) (log1p (+ (* (sqrt 1) (hypot re im)) re)) (exp (+ re (* (hypot re im) 1))) (log (+ (* (sqrt 1) (hypot re im)) re)) (exp (+ re (* (hypot re im) 1))) (* (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (pow (fma (hypot re im) 1 re) 3) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (fma (pow re 2) re (pow (hypot re im) 3)) (fma (hypot re im) (hypot re im) (* re (- re (* (sqrt 1) (hypot re im))))) (- (* (hypot re im) (hypot re im)) (pow re 2)) (- (hypot re im) re) (expm1 (+ (* (sqrt 1) (hypot re im)) re)) (log1p (+ (* (sqrt 1) (hypot re im)) re)) (exp (+ re (* (hypot re im) 1))) (log (+ (* (sqrt 1) (hypot re im)) re)) (exp (+ re (* (hypot re im) 1))) (* (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (pow (fma (hypot re im) 1 re) 3) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (fma (pow re 2) re (pow (hypot re im) 3)) (fma (hypot re im) (hypot re im) (* re (- re (* (sqrt 1) (hypot re im))))) (- (* (hypot re im) (hypot re im)) (pow re 2)) (- (hypot re im) re) (expm1 (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (log1p (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) 1 1 2 1/2 1/2 1/2 1 1 1/2 1/2 1/2 1/2 1/2 1/2 (* (fma (sqrt 1) (hypot re im) re) 2.0) (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))) (pow (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))) 4) (* (fma (sqrt 1) (hypot re im) re) 2.0) (pow (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))) 4) (pow (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))) 4) (pow (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))) 4) (pow (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))) 4) 2 (log (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (log (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (exp (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (pow (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))) 3) (* (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (pow (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))) 3) (* (fma (sqrt 1) (hypot re im) re) 2.0) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (* 2.0 (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3)))) (sqrt (+ (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (- (* re re) (* (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (* 2.0 (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3))))) (sqrt (sqrt (* 2.0 (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re)))))) (* (sqrt (sqrt (+ (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (- (* re re) (* (* (sqrt 1) (hypot re im)) re))))) (sqrt (sqrt (- (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (* 2.0 (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3))))) (sqrt (sqrt (* 2.0 (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re)))))) (* (sqrt (sqrt (+ (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (- (* re re) (* (* (sqrt 1) (hypot re im)) re))))) (sqrt (sqrt (- (* (sqrt 1) (hypot re im)) re)))) (sqrt (* 2.0 (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re)))) (sqrt (- (* (sqrt 1) (hypot re im)) re)) (pow (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) 4) (* (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) (* (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) 1 (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) 1 (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) 1 2 1/2 1 1/2 1/2 1/2 1/2 (* (pow (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) 4) (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) (* (fabs (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (* (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt 2.0))) (pow (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) 3) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (pow (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) 3) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (pow (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) 4) (* (sqrt (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (* (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (pow (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) 3) (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))) (pow (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) 3) (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3)))))) (* (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re)))))) (* (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3)))))) (* (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re)))))) (expm1 (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (log1p (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (log (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (exp (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (* (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (pow (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))) 3) (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (* 2.0 (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3)))) (sqrt (+ (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (- (* re re) (* (* (sqrt 1) (hypot re im)) re)))) (sqrt (* 2.0 (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re)))) (sqrt (- (* (sqrt 1) (hypot re im)) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (+ re im) (* 2 re) 0 (+ re im) (* 2 re) 0 (* (* +nan.0 (sqrt 2.0)) (+ (- (* re re)) (- im re))) (fma (- (sqrt 2.0)) +nan.0 (* +nan.0 (- (/ (sqrt 2.0) (pow re 2)) (/ (sqrt 2.0) re)))) 0 (* (* +nan.0 (sqrt 2.0)) (+ (- (* re re)) (- im re))) (fma (- (sqrt 2.0)) +nan.0 (* +nan.0 (- (/ (sqrt 2.0) (pow re 2)) (/ (sqrt 2.0) re)))) 0 1.860 * * * [progress]: adding candidates to table 2.203 * * [progress]: iteration 4 / 4 2.203 * * * [progress]: picking best candidate 2.211 * * * * [pick]: Picked # 2.211 * * * [progress]: localizing error 2.230 * * * [progress]: generating rewritten candidates 2.230 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1 1 2) 2.235 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1 2) 2.240 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 1 1 1 2) 2.245 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 2.252 * * * [progress]: generating series expansions 2.252 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1 1 2) 2.252 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 2.252 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 2.252 * [taylor]: Taking taylor expansion of re in im 2.252 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.253 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.253 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.253 * [taylor]: Taking taylor expansion of (* re re) in im 2.253 * [taylor]: Taking taylor expansion of re in im 2.253 * [taylor]: Taking taylor expansion of re in im 2.253 * [taylor]: Taking taylor expansion of (* im im) in im 2.253 * [taylor]: Taking taylor expansion of im in im 2.253 * [taylor]: Taking taylor expansion of im in im 2.254 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.254 * [taylor]: Taking taylor expansion of re in re 2.254 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.254 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.254 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.254 * [taylor]: Taking taylor expansion of (* re re) in re 2.254 * [taylor]: Taking taylor expansion of re in re 2.254 * [taylor]: Taking taylor expansion of re in re 2.254 * [taylor]: Taking taylor expansion of (* im im) in re 2.254 * [taylor]: Taking taylor expansion of im in re 2.254 * [taylor]: Taking taylor expansion of im in re 2.255 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.255 * [taylor]: Taking taylor expansion of re in re 2.255 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.255 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.255 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.256 * [taylor]: Taking taylor expansion of (* re re) in re 2.256 * [taylor]: Taking taylor expansion of re in re 2.256 * [taylor]: Taking taylor expansion of re in re 2.256 * [taylor]: Taking taylor expansion of (* im im) in re 2.256 * [taylor]: Taking taylor expansion of im in re 2.256 * [taylor]: Taking taylor expansion of im in re 2.257 * [taylor]: Taking taylor expansion of im in im 2.257 * [taylor]: Taking taylor expansion of 1 in im 2.259 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.259 * [taylor]: Taking taylor expansion of 1/2 in im 2.259 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.259 * [taylor]: Taking taylor expansion of im in im 2.262 * [taylor]: Taking taylor expansion of 0 in im 2.263 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 2.263 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 2.263 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.263 * [taylor]: Taking taylor expansion of re in im 2.263 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.263 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.263 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.263 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.263 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.263 * [taylor]: Taking taylor expansion of re in im 2.263 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.263 * [taylor]: Taking taylor expansion of re in im 2.263 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.263 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.263 * [taylor]: Taking taylor expansion of im in im 2.264 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.264 * [taylor]: Taking taylor expansion of im in im 2.266 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.267 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.267 * [taylor]: Taking taylor expansion of re in re 2.267 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.267 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.267 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.267 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.267 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.267 * [taylor]: Taking taylor expansion of re in re 2.267 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.267 * [taylor]: Taking taylor expansion of re in re 2.268 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.268 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.268 * [taylor]: Taking taylor expansion of im in re 2.268 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.268 * [taylor]: Taking taylor expansion of im in re 2.270 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.270 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.270 * [taylor]: Taking taylor expansion of re in re 2.271 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.271 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.271 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.271 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.271 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.271 * [taylor]: Taking taylor expansion of re in re 2.271 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.271 * [taylor]: Taking taylor expansion of re in re 2.271 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.271 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.271 * [taylor]: Taking taylor expansion of im in re 2.271 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.271 * [taylor]: Taking taylor expansion of im in re 2.274 * [taylor]: Taking taylor expansion of 2 in im 2.275 * [taylor]: Taking taylor expansion of 0 in im 2.278 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.278 * [taylor]: Taking taylor expansion of 1/2 in im 2.278 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.278 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.278 * [taylor]: Taking taylor expansion of im in im 2.283 * [taylor]: Taking taylor expansion of 0 in im 2.289 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 2.289 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 2.289 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.289 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.289 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.289 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.289 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.289 * [taylor]: Taking taylor expansion of -1 in im 2.289 * [taylor]: Taking taylor expansion of re in im 2.289 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.289 * [taylor]: Taking taylor expansion of -1 in im 2.289 * [taylor]: Taking taylor expansion of re in im 2.290 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.290 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.290 * [taylor]: Taking taylor expansion of -1 in im 2.290 * [taylor]: Taking taylor expansion of im in im 2.290 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.290 * [taylor]: Taking taylor expansion of -1 in im 2.290 * [taylor]: Taking taylor expansion of im in im 2.293 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.293 * [taylor]: Taking taylor expansion of re in im 2.293 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.293 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.293 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.293 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.293 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.293 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.293 * [taylor]: Taking taylor expansion of -1 in re 2.293 * [taylor]: Taking taylor expansion of re in re 2.293 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.293 * [taylor]: Taking taylor expansion of -1 in re 2.293 * [taylor]: Taking taylor expansion of re in re 2.294 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.294 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.294 * [taylor]: Taking taylor expansion of -1 in re 2.294 * [taylor]: Taking taylor expansion of im in re 2.294 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.294 * [taylor]: Taking taylor expansion of -1 in re 2.294 * [taylor]: Taking taylor expansion of im in re 2.297 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.297 * [taylor]: Taking taylor expansion of re in re 2.297 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.297 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.297 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.297 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.297 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.297 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.297 * [taylor]: Taking taylor expansion of -1 in re 2.297 * [taylor]: Taking taylor expansion of re in re 2.298 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.298 * [taylor]: Taking taylor expansion of -1 in re 2.298 * [taylor]: Taking taylor expansion of re in re 2.298 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.298 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.298 * [taylor]: Taking taylor expansion of -1 in re 2.298 * [taylor]: Taking taylor expansion of im in re 2.298 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.298 * [taylor]: Taking taylor expansion of -1 in re 2.298 * [taylor]: Taking taylor expansion of im in re 2.301 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.301 * [taylor]: Taking taylor expansion of re in re 2.301 * [taylor]: Taking taylor expansion of 0 in im 2.302 * [taylor]: Taking taylor expansion of 0 in im 2.306 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.306 * [taylor]: Taking taylor expansion of 1/2 in im 2.306 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.306 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.306 * [taylor]: Taking taylor expansion of im in im 2.311 * [taylor]: Taking taylor expansion of 0 in im 2.313 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1 2) 2.313 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 2.313 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 2.313 * [taylor]: Taking taylor expansion of re in im 2.313 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.313 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.313 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.313 * [taylor]: Taking taylor expansion of (* re re) in im 2.313 * [taylor]: Taking taylor expansion of re in im 2.313 * [taylor]: Taking taylor expansion of re in im 2.313 * [taylor]: Taking taylor expansion of (* im im) in im 2.313 * [taylor]: Taking taylor expansion of im in im 2.313 * [taylor]: Taking taylor expansion of im in im 2.314 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.314 * [taylor]: Taking taylor expansion of re in re 2.314 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.315 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.315 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.315 * [taylor]: Taking taylor expansion of (* re re) in re 2.315 * [taylor]: Taking taylor expansion of re in re 2.315 * [taylor]: Taking taylor expansion of re in re 2.315 * [taylor]: Taking taylor expansion of (* im im) in re 2.315 * [taylor]: Taking taylor expansion of im in re 2.315 * [taylor]: Taking taylor expansion of im in re 2.316 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.316 * [taylor]: Taking taylor expansion of re in re 2.316 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.316 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.316 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.316 * [taylor]: Taking taylor expansion of (* re re) in re 2.316 * [taylor]: Taking taylor expansion of re in re 2.316 * [taylor]: Taking taylor expansion of re in re 2.316 * [taylor]: Taking taylor expansion of (* im im) in re 2.316 * [taylor]: Taking taylor expansion of im in re 2.316 * [taylor]: Taking taylor expansion of im in re 2.317 * [taylor]: Taking taylor expansion of im in im 2.318 * [taylor]: Taking taylor expansion of 1 in im 2.319 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.319 * [taylor]: Taking taylor expansion of 1/2 in im 2.319 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.319 * [taylor]: Taking taylor expansion of im in im 2.322 * [taylor]: Taking taylor expansion of 0 in im 2.323 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 2.323 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 2.323 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.323 * [taylor]: Taking taylor expansion of re in im 2.323 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.323 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.324 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.324 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.324 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.324 * [taylor]: Taking taylor expansion of re in im 2.324 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.324 * [taylor]: Taking taylor expansion of re in im 2.324 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.324 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.324 * [taylor]: Taking taylor expansion of im in im 2.324 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.324 * [taylor]: Taking taylor expansion of im in im 2.327 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.327 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.327 * [taylor]: Taking taylor expansion of re in re 2.327 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.327 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.327 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.327 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.327 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.327 * [taylor]: Taking taylor expansion of re in re 2.328 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.328 * [taylor]: Taking taylor expansion of re in re 2.328 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.328 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.328 * [taylor]: Taking taylor expansion of im in re 2.328 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.328 * [taylor]: Taking taylor expansion of im in re 2.331 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.331 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.331 * [taylor]: Taking taylor expansion of re in re 2.331 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.331 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.331 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.331 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.331 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.331 * [taylor]: Taking taylor expansion of re in re 2.331 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.331 * [taylor]: Taking taylor expansion of re in re 2.332 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.332 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.332 * [taylor]: Taking taylor expansion of im in re 2.332 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.332 * [taylor]: Taking taylor expansion of im in re 2.335 * [taylor]: Taking taylor expansion of 2 in im 2.335 * [taylor]: Taking taylor expansion of 0 in im 2.338 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.338 * [taylor]: Taking taylor expansion of 1/2 in im 2.339 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.339 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.339 * [taylor]: Taking taylor expansion of im in im 2.343 * [taylor]: Taking taylor expansion of 0 in im 2.345 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 2.345 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 2.345 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.345 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.346 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.346 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.346 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.346 * [taylor]: Taking taylor expansion of -1 in im 2.346 * [taylor]: Taking taylor expansion of re in im 2.346 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.346 * [taylor]: Taking taylor expansion of -1 in im 2.346 * [taylor]: Taking taylor expansion of re in im 2.346 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.346 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.346 * [taylor]: Taking taylor expansion of -1 in im 2.346 * [taylor]: Taking taylor expansion of im in im 2.346 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.346 * [taylor]: Taking taylor expansion of -1 in im 2.346 * [taylor]: Taking taylor expansion of im in im 2.349 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.349 * [taylor]: Taking taylor expansion of re in im 2.349 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.349 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.349 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.349 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.349 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.349 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.349 * [taylor]: Taking taylor expansion of -1 in re 2.349 * [taylor]: Taking taylor expansion of re in re 2.350 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.350 * [taylor]: Taking taylor expansion of -1 in re 2.350 * [taylor]: Taking taylor expansion of re in re 2.350 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.350 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.350 * [taylor]: Taking taylor expansion of -1 in re 2.350 * [taylor]: Taking taylor expansion of im in re 2.350 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.350 * [taylor]: Taking taylor expansion of -1 in re 2.350 * [taylor]: Taking taylor expansion of im in re 2.353 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.353 * [taylor]: Taking taylor expansion of re in re 2.353 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.353 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.353 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.353 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.353 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.353 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.353 * [taylor]: Taking taylor expansion of -1 in re 2.353 * [taylor]: Taking taylor expansion of re in re 2.354 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.354 * [taylor]: Taking taylor expansion of -1 in re 2.354 * [taylor]: Taking taylor expansion of re in re 2.354 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.354 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.354 * [taylor]: Taking taylor expansion of -1 in re 2.354 * [taylor]: Taking taylor expansion of im in re 2.354 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.354 * [taylor]: Taking taylor expansion of -1 in re 2.354 * [taylor]: Taking taylor expansion of im in re 2.357 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.357 * [taylor]: Taking taylor expansion of re in re 2.358 * [taylor]: Taking taylor expansion of 0 in im 2.358 * [taylor]: Taking taylor expansion of 0 in im 2.362 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.362 * [taylor]: Taking taylor expansion of 1/2 in im 2.362 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.362 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.362 * [taylor]: Taking taylor expansion of im in im 2.367 * [taylor]: Taking taylor expansion of 0 in im 2.369 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 1 1 1 2) 2.369 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 2.369 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 2.369 * [taylor]: Taking taylor expansion of re in im 2.369 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.369 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.369 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.369 * [taylor]: Taking taylor expansion of (* re re) in im 2.369 * [taylor]: Taking taylor expansion of re in im 2.369 * [taylor]: Taking taylor expansion of re in im 2.369 * [taylor]: Taking taylor expansion of (* im im) in im 2.369 * [taylor]: Taking taylor expansion of im in im 2.369 * [taylor]: Taking taylor expansion of im in im 2.370 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.370 * [taylor]: Taking taylor expansion of re in re 2.370 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.370 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.370 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.370 * [taylor]: Taking taylor expansion of (* re re) in re 2.371 * [taylor]: Taking taylor expansion of re in re 2.371 * [taylor]: Taking taylor expansion of re in re 2.371 * [taylor]: Taking taylor expansion of (* im im) in re 2.371 * [taylor]: Taking taylor expansion of im in re 2.371 * [taylor]: Taking taylor expansion of im in re 2.377 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.377 * [taylor]: Taking taylor expansion of re in re 2.377 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.377 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.377 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.377 * [taylor]: Taking taylor expansion of (* re re) in re 2.377 * [taylor]: Taking taylor expansion of re in re 2.377 * [taylor]: Taking taylor expansion of re in re 2.377 * [taylor]: Taking taylor expansion of (* im im) in re 2.377 * [taylor]: Taking taylor expansion of im in re 2.377 * [taylor]: Taking taylor expansion of im in re 2.379 * [taylor]: Taking taylor expansion of im in im 2.379 * [taylor]: Taking taylor expansion of 1 in im 2.380 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.380 * [taylor]: Taking taylor expansion of 1/2 in im 2.380 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.380 * [taylor]: Taking taylor expansion of im in im 2.383 * [taylor]: Taking taylor expansion of 0 in im 2.385 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 2.385 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 2.385 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.385 * [taylor]: Taking taylor expansion of re in im 2.385 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.385 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.385 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.385 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.385 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.385 * [taylor]: Taking taylor expansion of re in im 2.385 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.385 * [taylor]: Taking taylor expansion of re in im 2.385 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.385 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.385 * [taylor]: Taking taylor expansion of im in im 2.385 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.385 * [taylor]: Taking taylor expansion of im in im 2.388 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.388 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.388 * [taylor]: Taking taylor expansion of re in re 2.388 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.388 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.388 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.388 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.389 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.389 * [taylor]: Taking taylor expansion of re in re 2.389 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.389 * [taylor]: Taking taylor expansion of re in re 2.389 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.389 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.389 * [taylor]: Taking taylor expansion of im in re 2.389 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.389 * [taylor]: Taking taylor expansion of im in re 2.392 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.392 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.392 * [taylor]: Taking taylor expansion of re in re 2.392 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.392 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.392 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.392 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.392 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.392 * [taylor]: Taking taylor expansion of re in re 2.392 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.392 * [taylor]: Taking taylor expansion of re in re 2.393 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.393 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.393 * [taylor]: Taking taylor expansion of im in re 2.393 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.393 * [taylor]: Taking taylor expansion of im in re 2.396 * [taylor]: Taking taylor expansion of 2 in im 2.396 * [taylor]: Taking taylor expansion of 0 in im 2.399 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.399 * [taylor]: Taking taylor expansion of 1/2 in im 2.399 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.399 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.399 * [taylor]: Taking taylor expansion of im in im 2.404 * [taylor]: Taking taylor expansion of 0 in im 2.406 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 2.406 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 2.406 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.406 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.406 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.406 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.406 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.406 * [taylor]: Taking taylor expansion of -1 in im 2.406 * [taylor]: Taking taylor expansion of re in im 2.406 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.406 * [taylor]: Taking taylor expansion of -1 in im 2.406 * [taylor]: Taking taylor expansion of re in im 2.406 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.406 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.406 * [taylor]: Taking taylor expansion of -1 in im 2.406 * [taylor]: Taking taylor expansion of im in im 2.407 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.407 * [taylor]: Taking taylor expansion of -1 in im 2.407 * [taylor]: Taking taylor expansion of im in im 2.410 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.410 * [taylor]: Taking taylor expansion of re in im 2.410 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.410 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.410 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.410 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.410 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.410 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.410 * [taylor]: Taking taylor expansion of -1 in re 2.410 * [taylor]: Taking taylor expansion of re in re 2.410 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.410 * [taylor]: Taking taylor expansion of -1 in re 2.410 * [taylor]: Taking taylor expansion of re in re 2.410 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.410 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.410 * [taylor]: Taking taylor expansion of -1 in re 2.411 * [taylor]: Taking taylor expansion of im in re 2.411 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.411 * [taylor]: Taking taylor expansion of -1 in re 2.411 * [taylor]: Taking taylor expansion of im in re 2.413 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.413 * [taylor]: Taking taylor expansion of re in re 2.414 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.414 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.414 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.414 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.414 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.414 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.414 * [taylor]: Taking taylor expansion of -1 in re 2.414 * [taylor]: Taking taylor expansion of re in re 2.414 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.414 * [taylor]: Taking taylor expansion of -1 in re 2.414 * [taylor]: Taking taylor expansion of re in re 2.415 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.415 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.415 * [taylor]: Taking taylor expansion of -1 in re 2.415 * [taylor]: Taking taylor expansion of im in re 2.415 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.415 * [taylor]: Taking taylor expansion of -1 in re 2.415 * [taylor]: Taking taylor expansion of im in re 2.417 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.417 * [taylor]: Taking taylor expansion of re in re 2.418 * [taylor]: Taking taylor expansion of 0 in im 2.419 * [taylor]: Taking taylor expansion of 0 in im 2.422 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.422 * [taylor]: Taking taylor expansion of 1/2 in im 2.422 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.422 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.422 * [taylor]: Taking taylor expansion of im in im 2.428 * [taylor]: Taking taylor expansion of 0 in im 2.429 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 2.430 * [approximate]: Taking taylor expansion of (pow (* (pow (+ re (hypot re im)) 1/12) (pow (sqrt 2.0) 1/6)) 4) in (re im) around 0 2.430 * [taylor]: Taking taylor expansion of (pow (* (pow (+ re (hypot re im)) 1/12) (pow (sqrt 2.0) 1/6)) 4) in im 2.430 * [taylor]: Taking taylor expansion of (* (pow (+ re (hypot re im)) 1/12) (pow (sqrt 2.0) 1/6)) in im 2.430 * [taylor]: Taking taylor expansion of (pow (+ re (hypot re im)) 1/12) in im 2.430 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (+ re (hypot re im))))) in im 2.430 * [taylor]: Taking taylor expansion of (* 1/12 (log (+ re (hypot re im)))) in im 2.430 * [taylor]: Taking taylor expansion of 1/12 in im 2.430 * [taylor]: Taking taylor expansion of (log (+ re (hypot re im))) in im 2.430 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 2.430 * [taylor]: Taking taylor expansion of re in im 2.430 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.430 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.430 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.430 * [taylor]: Taking taylor expansion of (* re re) in im 2.430 * [taylor]: Taking taylor expansion of re in im 2.430 * [taylor]: Taking taylor expansion of re in im 2.430 * [taylor]: Taking taylor expansion of (* im im) in im 2.430 * [taylor]: Taking taylor expansion of im in im 2.430 * [taylor]: Taking taylor expansion of im in im 2.432 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/6) in im 2.432 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (sqrt 2.0)))) in im 2.432 * [taylor]: Taking taylor expansion of (* 1/6 (log (sqrt 2.0))) in im 2.432 * [taylor]: Taking taylor expansion of 1/6 in im 2.432 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 2.432 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.432 * [taylor]: Taking taylor expansion of 2.0 in im 2.436 * [taylor]: Taking taylor expansion of (pow (* (pow (+ re (hypot re im)) 1/12) (pow (sqrt 2.0) 1/6)) 4) in re 2.436 * [taylor]: Taking taylor expansion of (* (pow (+ re (hypot re im)) 1/12) (pow (sqrt 2.0) 1/6)) in re 2.436 * [taylor]: Taking taylor expansion of (pow (+ re (hypot re im)) 1/12) in re 2.436 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (+ re (hypot re im))))) in re 2.436 * [taylor]: Taking taylor expansion of (* 1/12 (log (+ re (hypot re im)))) in re 2.436 * [taylor]: Taking taylor expansion of 1/12 in re 2.436 * [taylor]: Taking taylor expansion of (log (+ re (hypot re im))) in re 2.436 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.436 * [taylor]: Taking taylor expansion of re in re 2.436 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.436 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.436 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.436 * [taylor]: Taking taylor expansion of (* re re) in re 2.436 * [taylor]: Taking taylor expansion of re in re 2.436 * [taylor]: Taking taylor expansion of re in re 2.436 * [taylor]: Taking taylor expansion of (* im im) in re 2.436 * [taylor]: Taking taylor expansion of im in re 2.436 * [taylor]: Taking taylor expansion of im in re 2.437 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/6) in re 2.437 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (sqrt 2.0)))) in re 2.437 * [taylor]: Taking taylor expansion of (* 1/6 (log (sqrt 2.0))) in re 2.437 * [taylor]: Taking taylor expansion of 1/6 in re 2.438 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in re 2.438 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.438 * [taylor]: Taking taylor expansion of 2.0 in re 2.442 * [taylor]: Taking taylor expansion of (pow (* (pow (+ re (hypot re im)) 1/12) (pow (sqrt 2.0) 1/6)) 4) in re 2.442 * [taylor]: Taking taylor expansion of (* (pow (+ re (hypot re im)) 1/12) (pow (sqrt 2.0) 1/6)) in re 2.442 * [taylor]: Taking taylor expansion of (pow (+ re (hypot re im)) 1/12) in re 2.442 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (+ re (hypot re im))))) in re 2.442 * [taylor]: Taking taylor expansion of (* 1/12 (log (+ re (hypot re im)))) in re 2.442 * [taylor]: Taking taylor expansion of 1/12 in re 2.442 * [taylor]: Taking taylor expansion of (log (+ re (hypot re im))) in re 2.442 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.442 * [taylor]: Taking taylor expansion of re in re 2.442 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.442 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.442 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.442 * [taylor]: Taking taylor expansion of (* re re) in re 2.442 * [taylor]: Taking taylor expansion of re in re 2.442 * [taylor]: Taking taylor expansion of re in re 2.442 * [taylor]: Taking taylor expansion of (* im im) in re 2.442 * [taylor]: Taking taylor expansion of im in re 2.442 * [taylor]: Taking taylor expansion of im in re 2.443 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/6) in re 2.443 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (sqrt 2.0)))) in re 2.443 * [taylor]: Taking taylor expansion of (* 1/6 (log (sqrt 2.0))) in re 2.443 * [taylor]: Taking taylor expansion of 1/6 in re 2.443 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in re 2.443 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.443 * [taylor]: Taking taylor expansion of 2.0 in re 2.450 * [taylor]: Taking taylor expansion of (pow (* (pow (sqrt 2.0) 2) im) 1/3) in im 2.450 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (sqrt 2.0) 2) im)))) in im 2.450 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (sqrt 2.0) 2) im))) in im 2.450 * [taylor]: Taking taylor expansion of 1/3 in im 2.450 * [taylor]: Taking taylor expansion of (log (* (pow (sqrt 2.0) 2) im)) in im 2.450 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 2) im) in im 2.450 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 2.450 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.450 * [taylor]: Taking taylor expansion of 2.0 in im 2.451 * [taylor]: Taking taylor expansion of im in im 2.476 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ (pow (sqrt 2.0) 2) (pow im 2)) 1/3)) in im 2.476 * [taylor]: Taking taylor expansion of 1/3 in im 2.476 * [taylor]: Taking taylor expansion of (pow (/ (pow (sqrt 2.0) 2) (pow im 2)) 1/3) in im 2.476 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (sqrt 2.0) 2) (pow im 2))))) in im 2.476 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (sqrt 2.0) 2) (pow im 2)))) in im 2.476 * [taylor]: Taking taylor expansion of 1/3 in im 2.476 * [taylor]: Taking taylor expansion of (log (/ (pow (sqrt 2.0) 2) (pow im 2))) in im 2.476 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (pow im 2)) in im 2.476 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 2.476 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.476 * [taylor]: Taking taylor expansion of 2.0 in im 2.477 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.477 * [taylor]: Taking taylor expansion of im in im 2.509 * [taylor]: Taking taylor expansion of (* 1/18 (pow (/ (pow (sqrt 2.0) 2) (pow im 5)) 1/3)) in im 2.509 * [taylor]: Taking taylor expansion of 1/18 in im 2.509 * [taylor]: Taking taylor expansion of (pow (/ (pow (sqrt 2.0) 2) (pow im 5)) 1/3) in im 2.509 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (sqrt 2.0) 2) (pow im 5))))) in im 2.509 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (sqrt 2.0) 2) (pow im 5)))) in im 2.509 * [taylor]: Taking taylor expansion of 1/3 in im 2.509 * [taylor]: Taking taylor expansion of (log (/ (pow (sqrt 2.0) 2) (pow im 5))) in im 2.509 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (pow im 5)) in im 2.509 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 2.509 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.509 * [taylor]: Taking taylor expansion of 2.0 in im 2.510 * [taylor]: Taking taylor expansion of (pow im 5) in im 2.510 * [taylor]: Taking taylor expansion of im in im 2.523 * [approximate]: Taking taylor expansion of (pow (* (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/12) (pow (sqrt 2.0) 1/6)) 4) in (re im) around 0 2.523 * [taylor]: Taking taylor expansion of (pow (* (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/12) (pow (sqrt 2.0) 1/6)) 4) in im 2.523 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/12) (pow (sqrt 2.0) 1/6)) in im 2.523 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/12) in im 2.523 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))))) in im 2.523 * [taylor]: Taking taylor expansion of (* 1/12 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in im 2.523 * [taylor]: Taking taylor expansion of 1/12 in im 2.523 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 2.523 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 2.523 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.523 * [taylor]: Taking taylor expansion of re in im 2.523 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.523 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.523 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.523 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.523 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.523 * [taylor]: Taking taylor expansion of re in im 2.523 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.523 * [taylor]: Taking taylor expansion of re in im 2.523 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.523 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.523 * [taylor]: Taking taylor expansion of im in im 2.524 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.524 * [taylor]: Taking taylor expansion of im in im 2.527 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/6) in im 2.527 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (sqrt 2.0)))) in im 2.527 * [taylor]: Taking taylor expansion of (* 1/6 (log (sqrt 2.0))) in im 2.527 * [taylor]: Taking taylor expansion of 1/6 in im 2.527 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 2.527 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.527 * [taylor]: Taking taylor expansion of 2.0 in im 2.531 * [taylor]: Taking taylor expansion of (pow (* (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/12) (pow (sqrt 2.0) 1/6)) 4) in re 2.531 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/12) (pow (sqrt 2.0) 1/6)) in re 2.531 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/12) in re 2.531 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))))) in re 2.531 * [taylor]: Taking taylor expansion of (* 1/12 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re 2.531 * [taylor]: Taking taylor expansion of 1/12 in re 2.531 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 2.532 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.532 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.532 * [taylor]: Taking taylor expansion of re in re 2.532 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.532 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.532 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.532 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.532 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.532 * [taylor]: Taking taylor expansion of re in re 2.532 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.532 * [taylor]: Taking taylor expansion of re in re 2.533 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.533 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.533 * [taylor]: Taking taylor expansion of im in re 2.533 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.533 * [taylor]: Taking taylor expansion of im in re 2.537 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/6) in re 2.537 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (sqrt 2.0)))) in re 2.537 * [taylor]: Taking taylor expansion of (* 1/6 (log (sqrt 2.0))) in re 2.537 * [taylor]: Taking taylor expansion of 1/6 in re 2.537 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in re 2.537 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.537 * [taylor]: Taking taylor expansion of 2.0 in re 2.541 * [taylor]: Taking taylor expansion of (pow (* (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/12) (pow (sqrt 2.0) 1/6)) 4) in re 2.541 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/12) (pow (sqrt 2.0) 1/6)) in re 2.541 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/12) in re 2.541 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))))) in re 2.541 * [taylor]: Taking taylor expansion of (* 1/12 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re 2.541 * [taylor]: Taking taylor expansion of 1/12 in re 2.541 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 2.541 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.541 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.541 * [taylor]: Taking taylor expansion of re in re 2.542 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.542 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.542 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.542 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.542 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.542 * [taylor]: Taking taylor expansion of re in re 2.542 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.542 * [taylor]: Taking taylor expansion of re in re 2.542 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.542 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.542 * [taylor]: Taking taylor expansion of im in re 2.542 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.542 * [taylor]: Taking taylor expansion of im in re 2.546 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/6) in re 2.546 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (sqrt 2.0)))) in re 2.546 * [taylor]: Taking taylor expansion of (* 1/6 (log (sqrt 2.0))) in re 2.547 * [taylor]: Taking taylor expansion of 1/6 in re 2.547 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in re 2.547 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.547 * [taylor]: Taking taylor expansion of 2.0 in re 2.560 * [taylor]: Taking taylor expansion of (* (pow (pow (sqrt 2.0) 2) 1/3) (pow (exp (* 1/12 (- (log 2) (log re)))) 4)) in im 2.560 * [taylor]: Taking taylor expansion of (pow (pow (sqrt 2.0) 2) 1/3) in im 2.560 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sqrt 2.0) 2)))) in im 2.560 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sqrt 2.0) 2))) in im 2.560 * [taylor]: Taking taylor expansion of 1/3 in im 2.561 * [taylor]: Taking taylor expansion of (log (pow (sqrt 2.0) 2)) in im 2.561 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 2.561 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.561 * [taylor]: Taking taylor expansion of 2.0 in im 2.566 * [taylor]: Taking taylor expansion of (pow (exp (* 1/12 (- (log 2) (log re)))) 4) in im 2.566 * [taylor]: Taking taylor expansion of (exp (* 1/12 (- (log 2) (log re)))) in im 2.566 * [taylor]: Taking taylor expansion of (* 1/12 (- (log 2) (log re))) in im 2.566 * [taylor]: Taking taylor expansion of 1/12 in im 2.566 * [taylor]: Taking taylor expansion of (- (log 2) (log re)) in im 2.566 * [taylor]: Taking taylor expansion of (log 2) in im 2.566 * [taylor]: Taking taylor expansion of 2 in im 2.567 * [taylor]: Taking taylor expansion of (log re) in im 2.567 * [taylor]: Taking taylor expansion of re in im 2.582 * [taylor]: Taking taylor expansion of 0 in im 2.611 * [taylor]: Taking taylor expansion of (* 1/12 (* (pow (pow (sqrt 2.0) 2) 1/3) (/ (pow (exp (* 1/12 (- (log 2) (log re)))) 4) (pow im 2)))) in im 2.611 * [taylor]: Taking taylor expansion of 1/12 in im 2.611 * [taylor]: Taking taylor expansion of (* (pow (pow (sqrt 2.0) 2) 1/3) (/ (pow (exp (* 1/12 (- (log 2) (log re)))) 4) (pow im 2))) in im 2.611 * [taylor]: Taking taylor expansion of (pow (pow (sqrt 2.0) 2) 1/3) in im 2.611 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sqrt 2.0) 2)))) in im 2.611 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sqrt 2.0) 2))) in im 2.611 * [taylor]: Taking taylor expansion of 1/3 in im 2.611 * [taylor]: Taking taylor expansion of (log (pow (sqrt 2.0) 2)) in im 2.611 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 2.611 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.611 * [taylor]: Taking taylor expansion of 2.0 in im 2.617 * [taylor]: Taking taylor expansion of (/ (pow (exp (* 1/12 (- (log 2) (log re)))) 4) (pow im 2)) in im 2.617 * [taylor]: Taking taylor expansion of (pow (exp (* 1/12 (- (log 2) (log re)))) 4) in im 2.617 * [taylor]: Taking taylor expansion of (exp (* 1/12 (- (log 2) (log re)))) in im 2.617 * [taylor]: Taking taylor expansion of (* 1/12 (- (log 2) (log re))) in im 2.617 * [taylor]: Taking taylor expansion of 1/12 in im 2.617 * [taylor]: Taking taylor expansion of (- (log 2) (log re)) in im 2.617 * [taylor]: Taking taylor expansion of (log 2) in im 2.617 * [taylor]: Taking taylor expansion of 2 in im 2.618 * [taylor]: Taking taylor expansion of (log re) in im 2.618 * [taylor]: Taking taylor expansion of re in im 2.619 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.619 * [taylor]: Taking taylor expansion of im in im 2.693 * [taylor]: Taking taylor expansion of 0 in im 2.695 * [approximate]: Taking taylor expansion of (pow (* (pow (sqrt 2.0) 1/6) (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/12)) 4) in (re im) around 0 2.695 * [taylor]: Taking taylor expansion of (pow (* (pow (sqrt 2.0) 1/6) (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/12)) 4) in im 2.695 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/6) (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/12)) in im 2.695 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/6) in im 2.695 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (sqrt 2.0)))) in im 2.695 * [taylor]: Taking taylor expansion of (* 1/6 (log (sqrt 2.0))) in im 2.695 * [taylor]: Taking taylor expansion of 1/6 in im 2.695 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 2.695 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.695 * [taylor]: Taking taylor expansion of 2.0 in im 2.698 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/12) in im 2.698 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in im 2.698 * [taylor]: Taking taylor expansion of (* 1/12 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 2.698 * [taylor]: Taking taylor expansion of 1/12 in im 2.698 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 2.698 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 2.698 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.699 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.699 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.699 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.699 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.699 * [taylor]: Taking taylor expansion of -1 in im 2.699 * [taylor]: Taking taylor expansion of re in im 2.699 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.699 * [taylor]: Taking taylor expansion of -1 in im 2.699 * [taylor]: Taking taylor expansion of re in im 2.699 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.699 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.699 * [taylor]: Taking taylor expansion of -1 in im 2.699 * [taylor]: Taking taylor expansion of im in im 2.699 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.699 * [taylor]: Taking taylor expansion of -1 in im 2.699 * [taylor]: Taking taylor expansion of im in im 2.702 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.702 * [taylor]: Taking taylor expansion of re in im 2.704 * [taylor]: Taking taylor expansion of (pow (* (pow (sqrt 2.0) 1/6) (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/12)) 4) in re 2.704 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/6) (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/12)) in re 2.704 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/6) in re 2.704 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (sqrt 2.0)))) in re 2.704 * [taylor]: Taking taylor expansion of (* 1/6 (log (sqrt 2.0))) in re 2.704 * [taylor]: Taking taylor expansion of 1/6 in re 2.704 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in re 2.704 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.704 * [taylor]: Taking taylor expansion of 2.0 in re 2.707 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/12) in re 2.707 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in re 2.707 * [taylor]: Taking taylor expansion of (* 1/12 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 2.707 * [taylor]: Taking taylor expansion of 1/12 in re 2.707 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 2.707 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.707 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.708 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.708 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.708 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.708 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.708 * [taylor]: Taking taylor expansion of -1 in re 2.708 * [taylor]: Taking taylor expansion of re in re 2.708 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.708 * [taylor]: Taking taylor expansion of -1 in re 2.708 * [taylor]: Taking taylor expansion of re in re 2.708 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.708 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.708 * [taylor]: Taking taylor expansion of -1 in re 2.708 * [taylor]: Taking taylor expansion of im in re 2.708 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.708 * [taylor]: Taking taylor expansion of -1 in re 2.708 * [taylor]: Taking taylor expansion of im in re 2.711 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.711 * [taylor]: Taking taylor expansion of re in re 2.717 * [taylor]: Taking taylor expansion of (pow (* (pow (sqrt 2.0) 1/6) (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/12)) 4) in re 2.717 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/6) (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/12)) in re 2.717 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/6) in re 2.717 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (sqrt 2.0)))) in re 2.717 * [taylor]: Taking taylor expansion of (* 1/6 (log (sqrt 2.0))) in re 2.717 * [taylor]: Taking taylor expansion of 1/6 in re 2.718 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in re 2.718 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.718 * [taylor]: Taking taylor expansion of 2.0 in re 2.721 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/12) in re 2.721 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in re 2.721 * [taylor]: Taking taylor expansion of (* 1/12 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 2.721 * [taylor]: Taking taylor expansion of 1/12 in re 2.721 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 2.721 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.721 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.721 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.721 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.721 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.721 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.721 * [taylor]: Taking taylor expansion of -1 in re 2.721 * [taylor]: Taking taylor expansion of re in re 2.722 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.722 * [taylor]: Taking taylor expansion of -1 in re 2.722 * [taylor]: Taking taylor expansion of re in re 2.722 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.722 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.722 * [taylor]: Taking taylor expansion of -1 in re 2.722 * [taylor]: Taking taylor expansion of im in re 2.722 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.722 * [taylor]: Taking taylor expansion of -1 in re 2.722 * [taylor]: Taking taylor expansion of im in re 2.725 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.725 * [taylor]: Taking taylor expansion of re in re 2.741 * [taylor]: Taking taylor expansion of (* (pow (exp (* 1/12 (+ (log (/ 1/2 (pow im 2))) (log re)))) 4) (pow (pow (sqrt 2.0) 2) 1/3)) in im 2.741 * [taylor]: Taking taylor expansion of (pow (exp (* 1/12 (+ (log (/ 1/2 (pow im 2))) (log re)))) 4) in im 2.741 * [taylor]: Taking taylor expansion of (exp (* 1/12 (+ (log (/ 1/2 (pow im 2))) (log re)))) in im 2.741 * [taylor]: Taking taylor expansion of (* 1/12 (+ (log (/ 1/2 (pow im 2))) (log re))) in im 2.741 * [taylor]: Taking taylor expansion of 1/12 in im 2.741 * [taylor]: Taking taylor expansion of (+ (log (/ 1/2 (pow im 2))) (log re)) in im 2.741 * [taylor]: Taking taylor expansion of (log (/ 1/2 (pow im 2))) in im 2.741 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.741 * [taylor]: Taking taylor expansion of 1/2 in im 2.741 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.741 * [taylor]: Taking taylor expansion of im in im 2.742 * [taylor]: Taking taylor expansion of (log re) in im 2.742 * [taylor]: Taking taylor expansion of re in im 2.743 * [taylor]: Taking taylor expansion of (pow (pow (sqrt 2.0) 2) 1/3) in im 2.743 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sqrt 2.0) 2)))) in im 2.743 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sqrt 2.0) 2))) in im 2.743 * [taylor]: Taking taylor expansion of 1/3 in im 2.743 * [taylor]: Taking taylor expansion of (log (pow (sqrt 2.0) 2)) in im 2.743 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 2.743 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.743 * [taylor]: Taking taylor expansion of 2.0 in im 2.765 * [taylor]: Taking taylor expansion of 0 in im 2.795 * [taylor]: Taking taylor expansion of (- (* 1/12 (* (/ (pow (exp (* 1/12 (+ (log (/ 1/2 (pow im 2))) (log re)))) 4) (pow im 2)) (pow (pow (sqrt 2.0) 2) 1/3)))) in im 2.795 * [taylor]: Taking taylor expansion of (* 1/12 (* (/ (pow (exp (* 1/12 (+ (log (/ 1/2 (pow im 2))) (log re)))) 4) (pow im 2)) (pow (pow (sqrt 2.0) 2) 1/3))) in im 2.795 * [taylor]: Taking taylor expansion of 1/12 in im 2.795 * [taylor]: Taking taylor expansion of (* (/ (pow (exp (* 1/12 (+ (log (/ 1/2 (pow im 2))) (log re)))) 4) (pow im 2)) (pow (pow (sqrt 2.0) 2) 1/3)) in im 2.795 * [taylor]: Taking taylor expansion of (/ (pow (exp (* 1/12 (+ (log (/ 1/2 (pow im 2))) (log re)))) 4) (pow im 2)) in im 2.795 * [taylor]: Taking taylor expansion of (pow (exp (* 1/12 (+ (log (/ 1/2 (pow im 2))) (log re)))) 4) in im 2.795 * [taylor]: Taking taylor expansion of (exp (* 1/12 (+ (log (/ 1/2 (pow im 2))) (log re)))) in im 2.795 * [taylor]: Taking taylor expansion of (* 1/12 (+ (log (/ 1/2 (pow im 2))) (log re))) in im 2.795 * [taylor]: Taking taylor expansion of 1/12 in im 2.795 * [taylor]: Taking taylor expansion of (+ (log (/ 1/2 (pow im 2))) (log re)) in im 2.795 * [taylor]: Taking taylor expansion of (log (/ 1/2 (pow im 2))) in im 2.795 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.795 * [taylor]: Taking taylor expansion of 1/2 in im 2.795 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.795 * [taylor]: Taking taylor expansion of im in im 2.796 * [taylor]: Taking taylor expansion of (log re) in im 2.796 * [taylor]: Taking taylor expansion of re in im 2.797 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.797 * [taylor]: Taking taylor expansion of im in im 2.799 * [taylor]: Taking taylor expansion of (pow (pow (sqrt 2.0) 2) 1/3) in im 2.799 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sqrt 2.0) 2)))) in im 2.800 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sqrt 2.0) 2))) in im 2.800 * [taylor]: Taking taylor expansion of 1/3 in im 2.800 * [taylor]: Taking taylor expansion of (log (pow (sqrt 2.0) 2)) in im 2.800 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 2.800 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.800 * [taylor]: Taking taylor expansion of 2.0 in im 2.878 * [taylor]: Taking taylor expansion of 0 in im 2.880 * * * [progress]: simplifying candidates 2.881 * [simplify]: Simplifying using # : (expm1 (+ (* (sqrt 1) (hypot re im)) re)) (log1p (+ (* (sqrt 1) (hypot re im)) re)) (* (exp (* (sqrt 1) (hypot re im))) (exp re)) (log (+ (* (sqrt 1) (hypot re im)) re)) (exp (+ (* (sqrt 1) (hypot re im)) re)) (* (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (* (* (+ (* (sqrt 1) (hypot re im)) re) (+ (* (sqrt 1) (hypot re im)) re)) (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3)) (+ (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (- (* re re) (* (* (sqrt 1) (hypot re im)) re))) (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re)) (- (* (sqrt 1) (hypot re im)) re) (expm1 (+ (* (sqrt 1) (hypot re im)) re)) (log1p (+ (* (sqrt 1) (hypot re im)) re)) (* (exp (* (sqrt 1) (hypot re im))) (exp re)) (log (+ (* (sqrt 1) (hypot re im)) re)) (exp (+ (* (sqrt 1) (hypot re im)) re)) (* (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (* (* (+ (* (sqrt 1) (hypot re im)) re) (+ (* (sqrt 1) (hypot re im)) re)) (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3)) (+ (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (- (* re re) (* (* (sqrt 1) (hypot re im)) re))) (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re)) (- (* (sqrt 1) (hypot re im)) re) (expm1 (+ (* (sqrt 1) (hypot re im)) re)) (log1p (+ (* (sqrt 1) (hypot re im)) re)) (* (exp (* (sqrt 1) (hypot re im))) (exp re)) (log (+ (* (sqrt 1) (hypot re im)) re)) (exp (+ (* (sqrt 1) (hypot re im)) re)) (* (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (* (* (+ (* (sqrt 1) (hypot re im)) re) (+ (* (sqrt 1) (hypot re im)) re)) (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3)) (+ (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (- (* re re) (* (* (sqrt 1) (hypot re im)) re))) (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re)) (- (* (sqrt 1) (hypot re im)) re) (expm1 (pow (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) 4)) (log1p (pow (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) 4)) (* (log (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) 4) (* (log (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) 4) (* 1/3 4) (* 1 4) (pow (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (* (cbrt 4) (cbrt 4))) (pow (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (sqrt 4)) (pow (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) 1) (pow (cbrt (* (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))))) 4) (pow (cbrt (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) 4) (pow (cbrt (sqrt (* (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))))) 4) (pow (cbrt (sqrt (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) 4) (pow (cbrt (sqrt (sqrt 2.0))) 4) (pow (cbrt (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) 4) (pow (cbrt (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) 4) (pow (cbrt (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) 4) (pow (cbrt (sqrt 1)) 4) (pow (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) 4) (pow (cbrt (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) 4) (pow (cbrt (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) 4) (pow (cbrt 1) 4) (pow (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) 4) (pow (* (cbrt (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) (cbrt (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))))) 4) (pow (cbrt (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) 4) (pow (sqrt (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) 4) (pow (sqrt (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) 4) (pow 1 4) (pow (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) 4) (log (pow (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) 4)) (exp (pow (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) 4)) (* (cbrt (pow (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) 4)) (cbrt (pow (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) 4))) (cbrt (pow (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) 4)) (* (* (pow (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) 4) (pow (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) 4)) (pow (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) 4)) (sqrt (pow (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) 4)) (sqrt (pow (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) 4)) (pow (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (/ 4 2)) (pow (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (/ 4 2)) (+ re im) (* 2 re) 0 (+ re im) (* 2 re) 0 (+ re im) (* 2 re) 0 (+ (* 1/18 (* (pow re 2) (exp (* 1/3 (- (log (pow (sqrt 2.0) 2)) (* 5 (log im))))))) (+ (exp (* 1/3 (+ (log im) (log (pow (sqrt 2.0) 2))))) (* 1/3 (* re (exp (* 1/3 (- (log (pow (sqrt 2.0) 2)) (* 2 (log im))))))))) (* (pow (pow (sqrt 2.0) 2) 1/3) (pow (exp (* 1/12 (- (log 2) (log (/ 1 re))))) 4)) (* (pow (pow (sqrt 2.0) 2) 1/3) (pow (exp (* 1/12 (- (+ (log (/ -1 re)) (log 1/2)) (* 2 (log (/ -1 im)))))) 4)) 2.887 * * [simplify]: iteration 0 : 325 enodes (cost 715 ) 2.894 * * [simplify]: iteration 1 : 985 enodes (cost 654 ) 2.915 * * [simplify]: iteration 2 : 4419 enodes (cost 609 ) 3.004 * * [simplify]: iteration 3 : 5001 enodes (cost 600 ) 3.007 * [simplify]: Simplified to: (expm1 (+ (* (sqrt 1) (hypot re im)) re)) (log1p (+ (* (sqrt 1) (hypot re im)) re)) (exp (+ re (* (hypot re im) 1))) (log (+ (* (sqrt 1) (hypot re im)) re)) (exp (+ re (* (hypot re im) 1))) (* (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (pow (fma (hypot re im) 1 re) 3) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (fma 1 (pow (hypot re im) 3) (pow re 3)) (fma (hypot re im) (- (hypot re im) re) (pow re 2)) (* (fma (hypot re im) 1 re) (- (hypot re im) re)) (- (hypot re im) re) (expm1 (+ (* (sqrt 1) (hypot re im)) re)) (log1p (+ (* (sqrt 1) (hypot re im)) re)) (exp (+ re (* (hypot re im) 1))) (log (+ (* (sqrt 1) (hypot re im)) re)) (exp (+ re (* (hypot re im) 1))) (* (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (pow (fma (hypot re im) 1 re) 3) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (fma 1 (pow (hypot re im) 3) (pow re 3)) (fma (hypot re im) (- (hypot re im) re) (pow re 2)) (* (fma (hypot re im) 1 re) (- (hypot re im) re)) (- (hypot re im) re) (expm1 (+ (* (sqrt 1) (hypot re im)) re)) (log1p (+ (* (sqrt 1) (hypot re im)) re)) (exp (+ re (* (hypot re im) 1))) (log (+ (* (sqrt 1) (hypot re im)) re)) (exp (+ re (* (hypot re im) 1))) (* (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (pow (fma (hypot re im) 1 re) 3) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (fma 1 (pow (hypot re im) 3) (pow re 3)) (fma (hypot re im) (- (hypot re im) re) (pow re 2)) (* (fma (hypot re im) 1 re) (- (hypot re im) re)) (- (hypot re im) re) (expm1 (pow (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) 4)) (log1p (pow (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) 4)) (log (pow (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) 4)) (log (pow (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) 4)) 4/3 4 (pow (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (* (cbrt 4) (cbrt 4))) (pow (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) 2) (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (pow (cbrt (* (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))))) 4) (pow (cbrt (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) 4) (pow (cbrt (sqrt (* (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))))) 4) (pow (cbrt (sqrt (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) 4) (pow (cbrt (sqrt (sqrt 2.0))) 4) (pow (cbrt (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) 4) (pow (cbrt (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) 4) (pow (cbrt (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) 4) 1 (pow (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) 4) (pow (cbrt (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) 4) (pow (cbrt (sqrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) 4) 1 (pow (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) 4) (pow (cbrt (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) 8) (pow (cbrt (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))))) 4) (pow (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) 2) (pow (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) 2) 1 (pow (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) 4) (log (pow (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) 4)) (exp (pow (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) 4)) (* (cbrt (pow (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) 4)) (cbrt (pow (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) 4))) (cbrt (pow (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) 4)) (pow (pow (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) 4) 3) (sqrt (pow (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) 4)) (sqrt (pow (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) 4)) (pow (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) 2) (pow (cbrt (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) 2) (+ re im) (* 2 re) 0 (+ re im) (* 2 re) 0 (+ re im) (* 2 re) 0 (fma (* (* (pow 2.0 1/3) (exp (* 1/3 (- (* 5 (log im)))))) (* 1/18 re)) re (fma (* 1/3 (pow (exp 1/3) (* 2 (- (log (sqrt 2.0)) (log im))))) re (* (pow im 1/3) (pow 2.0 1/3)))) (* (pow (pow (sqrt 2.0) 2) 1/3) (pow (exp (* 1/12 (- (log 2) (log (/ 1 re))))) 4)) (* (pow (pow (sqrt 2.0) 2) 1/3) (pow (exp (* 1/12 (- (+ (log (/ -1 re)) (log 1/2)) (* 2 (log (/ -1 im)))))) 4)) 3.007 * * * [progress]: adding candidates to table 3.398 * [progress]: [Phase 3 of 3] Extracting. 3.398 * * [regime]: Finding splitpoints for: (# # # # #) 3.404 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re) 3.404 * * * * [regimes]: Trying to branch on (* im im) from (# # # # #) 3.436 * * * * [regimes]: Trying to branch on im from (# # # # #) 3.465 * * * * [regimes]: Trying to branch on re from (# # # # #) 3.504 * * * [regime]: Found split indices: #