10.912 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.033 * * * [progress]: [2/2] Setting up program. 0.036 * [progress]: [Phase 2 of 3] Improving. 0.036 * [simplify]: Simplifying using # : (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.039 * * [simplify]: iteration 0 : 24 enodes (cost 8 ) 0.040 * * [simplify]: iteration 1 : 30 enodes (cost 8 ) 0.042 * * [simplify]: iteration 2 : 33 enodes (cost 8 ) 0.043 * * [simplify]: iteration 3 : 33 enodes (cost 8 ) 0.043 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.044 * * [progress]: iteration 1 / 4 0.044 * * * [progress]: picking best candidate 0.046 * * * * [pick]: Picked # 0.046 * * * [progress]: localizing error 0.060 * * * [progress]: generating rewritten candidates 0.060 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1) 0.064 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.072 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.079 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1) 0.085 * * * [progress]: generating series expansions 0.085 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 0.085 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.085 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.085 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.085 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.085 * [taylor]: Taking taylor expansion of re in im 0.085 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.085 * [taylor]: Taking taylor expansion of im in im 0.086 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.086 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.086 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.086 * [taylor]: Taking taylor expansion of re in re 0.086 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.086 * [taylor]: Taking taylor expansion of im in re 0.086 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.087 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 0.087 * [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 im in im 0.087 * [taylor]: Taking taylor expansion of 0 in im 0.088 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.089 * [taylor]: Taking taylor expansion of 1/2 in im 0.089 * [taylor]: Taking taylor expansion of im in im 0.090 * [taylor]: Taking taylor expansion of 0 in im 0.091 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.091 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow im 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 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.092 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.092 * [taylor]: Taking taylor expansion of re in im 0.094 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.094 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.094 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.094 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.094 * [taylor]: Taking taylor expansion of im in re 0.094 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.094 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.094 * [taylor]: Taking taylor expansion of re in re 0.096 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.097 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.097 * [taylor]: Taking taylor expansion of im in re 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.097 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.097 * [taylor]: Taking taylor expansion of re in re 0.099 * [taylor]: Taking taylor expansion of 1 in im 0.099 * [taylor]: Taking taylor expansion of 0 in im 0.101 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.101 * [taylor]: Taking taylor expansion of 1/2 in im 0.101 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.101 * [taylor]: Taking taylor expansion of im in im 0.104 * [taylor]: Taking taylor expansion of 0 in im 0.105 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.105 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.106 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.106 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.106 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.106 * [taylor]: Taking taylor expansion of im in im 0.106 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.106 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.106 * [taylor]: Taking taylor expansion of re in im 0.108 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.108 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.108 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.108 * [taylor]: Taking taylor expansion of im in re 0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.108 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.108 * [taylor]: Taking taylor expansion of re in re 0.111 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.111 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) 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 (/ 1 (pow re 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 0.113 * [taylor]: Taking taylor expansion of 1 in im 0.113 * [taylor]: Taking taylor expansion of 0 in im 0.115 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.115 * [taylor]: Taking taylor expansion of 1/2 in im 0.115 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.115 * [taylor]: Taking taylor expansion of im in im 0.118 * [taylor]: Taking taylor expansion of 0 in im 0.119 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.120 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 0.120 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.120 * [taylor]: Taking taylor expansion of re in im 0.120 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.120 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.120 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.120 * [taylor]: Taking taylor expansion of re in im 0.120 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.120 * [taylor]: Taking taylor expansion of im in im 0.120 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.120 * [taylor]: Taking taylor expansion of re in re 0.120 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.120 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.120 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.120 * [taylor]: Taking taylor expansion of re in re 0.120 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.120 * [taylor]: Taking taylor expansion of im in re 0.121 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.121 * [taylor]: Taking taylor expansion of re in re 0.121 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.121 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.121 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.121 * [taylor]: Taking taylor expansion of re in re 0.121 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.121 * [taylor]: Taking taylor expansion of im in re 0.122 * [taylor]: Taking taylor expansion of im in im 0.122 * [taylor]: Taking taylor expansion of 1 in im 0.123 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.123 * [taylor]: Taking taylor expansion of 1/2 in im 0.123 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.123 * [taylor]: Taking taylor expansion of im in im 0.126 * [taylor]: Taking taylor expansion of 0 in im 0.127 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.127 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.127 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.127 * [taylor]: Taking taylor expansion of re in im 0.127 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.127 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.127 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.127 * [taylor]: Taking taylor expansion of im in im 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.128 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.128 * [taylor]: Taking taylor expansion of re in im 0.130 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.130 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.130 * [taylor]: Taking taylor expansion of re in re 0.130 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.130 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.130 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.130 * [taylor]: Taking taylor expansion of im in re 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.130 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.130 * [taylor]: Taking taylor expansion of re in re 0.133 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.133 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.133 * [taylor]: Taking taylor expansion of re in re 0.133 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.133 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.133 * [taylor]: Taking taylor expansion of im in re 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.134 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.134 * [taylor]: Taking taylor expansion of re in re 0.136 * [taylor]: Taking taylor expansion of 2 in im 0.137 * [taylor]: Taking taylor expansion of 0 in im 0.139 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.139 * [taylor]: Taking taylor expansion of 1/2 in im 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.139 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.139 * [taylor]: Taking taylor expansion of im in im 0.149 * [taylor]: Taking taylor expansion of 0 in im 0.151 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.151 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.151 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.151 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.151 * [taylor]: Taking taylor expansion of im in im 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.152 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.152 * [taylor]: Taking taylor expansion of re in im 0.154 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.154 * [taylor]: Taking taylor expansion of re in im 0.154 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.154 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.154 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.154 * [taylor]: Taking taylor expansion of im in re 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.154 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.154 * [taylor]: Taking taylor expansion of re in re 0.156 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.156 * [taylor]: Taking taylor expansion of re in re 0.157 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.157 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.157 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.157 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.157 * [taylor]: Taking taylor expansion of im in re 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.157 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.157 * [taylor]: Taking taylor expansion of re in re 0.159 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.159 * [taylor]: Taking taylor expansion of re in re 0.160 * [taylor]: Taking taylor expansion of 0 in im 0.161 * [taylor]: Taking taylor expansion of 0 in im 0.164 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.164 * [taylor]: Taking taylor expansion of 1/2 in im 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.164 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.164 * [taylor]: Taking taylor expansion of im in im 0.168 * [taylor]: Taking taylor expansion of 0 in im 0.170 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.170 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in (re im) around 0 0.170 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 0.170 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.170 * [taylor]: Taking taylor expansion of 2.0 in im 0.171 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 0.171 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.171 * [taylor]: Taking taylor expansion of re in im 0.171 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.171 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.171 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.171 * [taylor]: Taking taylor expansion of re in im 0.171 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.171 * [taylor]: Taking taylor expansion of im in im 0.172 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.172 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.172 * [taylor]: Taking taylor expansion of 2.0 in re 0.173 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.173 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.173 * [taylor]: Taking taylor expansion of re in re 0.173 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.173 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.173 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.173 * [taylor]: Taking taylor expansion of re in re 0.173 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.173 * [taylor]: Taking taylor expansion of im in re 0.174 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.174 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.174 * [taylor]: Taking taylor expansion of 2.0 in re 0.174 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.174 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.174 * [taylor]: Taking taylor expansion of re in re 0.174 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.174 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.174 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.174 * [taylor]: Taking taylor expansion of re in re 0.174 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.174 * [taylor]: Taking taylor expansion of im in re 0.176 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.176 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.176 * [taylor]: Taking taylor expansion of 2.0 in im 0.176 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.176 * [taylor]: Taking taylor expansion of im in im 0.178 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.178 * [taylor]: Taking taylor expansion of 1/2 in im 0.178 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.178 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.178 * [taylor]: Taking taylor expansion of 2.0 in im 0.179 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.179 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.179 * [taylor]: Taking taylor expansion of im in im 0.190 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.190 * [taylor]: Taking taylor expansion of 1/8 in im 0.190 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.190 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.190 * [taylor]: Taking taylor expansion of 2.0 in im 0.191 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.191 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.191 * [taylor]: Taking taylor expansion of im in im 0.205 * [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 0.205 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.206 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.206 * [taylor]: Taking taylor expansion of 2.0 in im 0.206 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.206 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.206 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.206 * [taylor]: Taking taylor expansion of re in im 0.206 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.206 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.206 * [taylor]: Taking taylor expansion of im in im 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.207 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.207 * [taylor]: Taking taylor expansion of re in im 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 0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.212 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.212 * [taylor]: Taking taylor expansion of re in re 0.215 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.215 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.215 * [taylor]: Taking taylor expansion of 2.0 in re 0.216 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.216 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.216 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.216 * [taylor]: Taking taylor expansion of re in re 0.216 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.216 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.216 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.216 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.216 * [taylor]: Taking taylor expansion of im in re 0.216 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.216 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.216 * [taylor]: Taking taylor expansion of re in re 0.220 * [taylor]: Taking taylor expansion of 0 in im 0.221 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.221 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.221 * [taylor]: Taking taylor expansion of +nan.0 in im 0.221 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.221 * [taylor]: Taking taylor expansion of 2.0 in im 0.226 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.226 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.226 * [taylor]: Taking taylor expansion of +nan.0 in im 0.226 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.226 * [taylor]: Taking taylor expansion of 2.0 in im 0.241 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.241 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.241 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.241 * [taylor]: Taking taylor expansion of +nan.0 in im 0.241 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.241 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.241 * [taylor]: Taking taylor expansion of 2.0 in im 0.241 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.241 * [taylor]: Taking taylor expansion of im in im 0.242 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.242 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.242 * [taylor]: Taking taylor expansion of +nan.0 in im 0.242 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.242 * [taylor]: Taking taylor expansion of 2.0 in im 0.253 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.253 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.253 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.253 * [taylor]: Taking taylor expansion of +nan.0 in im 0.253 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.253 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.253 * [taylor]: Taking taylor expansion of 2.0 in im 0.254 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.254 * [taylor]: Taking taylor expansion of im in im 0.254 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.254 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.254 * [taylor]: Taking taylor expansion of +nan.0 in im 0.254 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.255 * [taylor]: Taking taylor expansion of 2.0 in im 0.267 * [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 0.267 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.267 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.267 * [taylor]: Taking taylor expansion of 2.0 in im 0.268 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.268 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.268 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.268 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.268 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.268 * [taylor]: Taking taylor expansion of im in im 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.268 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.268 * [taylor]: Taking taylor expansion of re in im 0.270 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.270 * [taylor]: Taking taylor expansion of re in im 0.272 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.272 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.272 * [taylor]: Taking taylor expansion of 2.0 in re 0.272 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.272 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.272 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.272 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.272 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.273 * [taylor]: Taking taylor expansion of im in re 0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.273 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.273 * [taylor]: Taking taylor expansion of re in re 0.275 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.275 * [taylor]: Taking taylor expansion of re in re 0.280 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.280 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.280 * [taylor]: Taking taylor expansion of 2.0 in re 0.280 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.280 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.280 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.280 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.280 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.280 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.280 * [taylor]: Taking taylor expansion of im in re 0.281 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.281 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.281 * [taylor]: Taking taylor expansion of re in re 0.283 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.283 * [taylor]: Taking taylor expansion of re in re 0.288 * [taylor]: Taking taylor expansion of 0 in im 0.289 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.289 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.289 * [taylor]: Taking taylor expansion of +nan.0 in im 0.289 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.289 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.289 * [taylor]: Taking taylor expansion of 2.0 in im 0.290 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.290 * [taylor]: Taking taylor expansion of im in im 0.297 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.297 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.297 * [taylor]: Taking taylor expansion of +nan.0 in im 0.297 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.297 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.297 * [taylor]: Taking taylor expansion of 2.0 in im 0.298 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.298 * [taylor]: Taking taylor expansion of im in im 0.319 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.319 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.319 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.319 * [taylor]: Taking taylor expansion of +nan.0 in im 0.319 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.319 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.319 * [taylor]: Taking taylor expansion of 2.0 in im 0.320 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.320 * [taylor]: Taking taylor expansion of im in im 0.321 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.321 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.321 * [taylor]: Taking taylor expansion of +nan.0 in im 0.321 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.321 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.321 * [taylor]: Taking taylor expansion of 2.0 in im 0.322 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.322 * [taylor]: Taking taylor expansion of im in im 0.344 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1) 0.344 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.344 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.344 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.344 * [taylor]: Taking taylor expansion of re in im 0.344 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.344 * [taylor]: Taking taylor expansion of im in im 0.344 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.344 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.344 * [taylor]: Taking taylor expansion of re in re 0.344 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.344 * [taylor]: Taking taylor expansion of im in re 0.344 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.344 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.344 * [taylor]: Taking taylor expansion of re in re 0.344 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.344 * [taylor]: Taking taylor expansion of im in re 0.344 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.344 * [taylor]: Taking taylor expansion of im in im 0.345 * [taylor]: Taking taylor expansion of 0 in im 0.345 * [taylor]: Taking taylor expansion of 1 in im 0.347 * [taylor]: Taking taylor expansion of 0 in im 0.348 * [taylor]: Taking taylor expansion of 0 in im 0.349 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.349 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.349 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.349 * [taylor]: Taking taylor expansion of im in im 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.349 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.349 * [taylor]: Taking taylor expansion of re in im 0.350 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.350 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.350 * [taylor]: Taking taylor expansion of im in re 0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.350 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.350 * [taylor]: Taking taylor expansion of re in re 0.350 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.350 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.350 * [taylor]: Taking taylor expansion of im in re 0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.350 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.350 * [taylor]: Taking taylor expansion of re in re 0.351 * [taylor]: Taking taylor expansion of 1 in im 0.352 * [taylor]: Taking taylor expansion of 0 in im 0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.353 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.353 * [taylor]: Taking taylor expansion of im in im 0.355 * [taylor]: Taking taylor expansion of 0 in im 0.358 * [taylor]: Taking taylor expansion of 0 in im 0.359 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.359 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.359 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.359 * [taylor]: Taking taylor expansion of im in im 0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.360 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.360 * [taylor]: Taking taylor expansion of re in im 0.360 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.360 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.360 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.360 * [taylor]: Taking taylor expansion of im in re 0.360 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.360 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.360 * [taylor]: Taking taylor expansion of re in re 0.360 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.360 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.360 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.360 * [taylor]: Taking taylor expansion of im in re 0.360 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.361 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.361 * [taylor]: Taking taylor expansion of re in re 0.361 * [taylor]: Taking taylor expansion of 1 in im 0.362 * [taylor]: Taking taylor expansion of 0 in im 0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.363 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.363 * [taylor]: Taking taylor expansion of im in im 0.365 * [taylor]: Taking taylor expansion of 0 in im 0.368 * [taylor]: Taking taylor expansion of 0 in im 0.369 * * * [progress]: simplifying candidates 0.370 * [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)) 0.375 * * [simplify]: iteration 0 : 296 enodes (cost 446 ) 0.381 * * [simplify]: iteration 1 : 1086 enodes (cost 401 ) 0.399 * * [simplify]: iteration 2 : 3561 enodes (cost 382 ) 0.460 * * [simplify]: iteration 3 : 5001 enodes (cost 381 ) 0.463 * [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)) 0.463 * * * [progress]: adding candidates to table 0.662 * * [progress]: iteration 2 / 4 0.662 * * * [progress]: picking best candidate 0.670 * * * * [pick]: Picked # 0.670 * * * [progress]: localizing error 0.678 * * * [progress]: generating rewritten candidates 0.678 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2) 0.686 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.690 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 2 1) 0.692 * * * [progress]: generating series expansions 0.692 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2) 0.692 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 0.692 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.692 * [taylor]: Taking taylor expansion of re in im 0.692 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.692 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.692 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.692 * [taylor]: Taking taylor expansion of (* re re) in im 0.692 * [taylor]: Taking taylor expansion of re in im 0.692 * [taylor]: Taking taylor expansion of re in im 0.692 * [taylor]: Taking taylor expansion of (* im im) in im 0.692 * [taylor]: Taking taylor expansion of im in im 0.692 * [taylor]: Taking taylor expansion of im in im 0.694 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.694 * [taylor]: Taking taylor expansion of re in re 0.694 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.694 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.694 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.694 * [taylor]: Taking taylor expansion of (* re re) in re 0.694 * [taylor]: Taking taylor expansion of re in re 0.694 * [taylor]: Taking taylor expansion of re in re 0.694 * [taylor]: Taking taylor expansion of (* im im) in re 0.694 * [taylor]: Taking taylor expansion of im in re 0.694 * [taylor]: Taking taylor expansion of im in re 0.695 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.695 * [taylor]: Taking taylor expansion of re in re 0.695 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.695 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.695 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.695 * [taylor]: Taking taylor expansion of (* re re) in re 0.695 * [taylor]: Taking taylor expansion of re in re 0.695 * [taylor]: Taking taylor expansion of re in re 0.695 * [taylor]: Taking taylor expansion of (* im im) in re 0.695 * [taylor]: Taking taylor expansion of im in re 0.695 * [taylor]: Taking taylor expansion of im in re 0.696 * [taylor]: Taking taylor expansion of im in im 0.697 * [taylor]: Taking taylor expansion of 1 in im 0.698 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.698 * [taylor]: Taking taylor expansion of 1/2 in im 0.698 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.698 * [taylor]: Taking taylor expansion of im in im 0.701 * [taylor]: Taking taylor expansion of 0 in im 0.702 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 0.702 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 0.702 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.702 * [taylor]: Taking taylor expansion of re in im 0.702 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.702 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.702 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.702 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.702 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.702 * [taylor]: Taking taylor expansion of re in im 0.702 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.702 * [taylor]: Taking taylor expansion of re in im 0.702 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.702 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.702 * [taylor]: Taking taylor expansion of im in im 0.703 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.703 * [taylor]: Taking taylor expansion of im in im 0.706 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.706 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.706 * [taylor]: Taking taylor expansion of re in re 0.706 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.706 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.706 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.706 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.706 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.706 * [taylor]: Taking taylor expansion of re in re 0.706 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.706 * [taylor]: Taking taylor expansion of re in re 0.707 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.707 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.707 * [taylor]: Taking taylor expansion of im in re 0.707 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.707 * [taylor]: Taking taylor expansion of im in re 0.709 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.709 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.709 * [taylor]: Taking taylor expansion of re in re 0.710 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 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 re 0.710 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.710 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.710 * [taylor]: Taking taylor expansion of re in re 0.710 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.710 * [taylor]: Taking taylor expansion of re in re 0.710 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.710 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.710 * [taylor]: Taking taylor expansion of im in re 0.710 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.710 * [taylor]: Taking taylor expansion of im in re 0.713 * [taylor]: Taking taylor expansion of 2 in im 0.714 * [taylor]: Taking taylor expansion of 0 in im 0.717 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.717 * [taylor]: Taking taylor expansion of 1/2 in im 0.717 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.717 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.717 * [taylor]: Taking taylor expansion of im in im 0.722 * [taylor]: Taking taylor expansion of 0 in im 0.724 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 0.724 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.724 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.724 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.724 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.724 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.724 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.724 * [taylor]: Taking taylor expansion of -1 in im 0.724 * [taylor]: Taking taylor expansion of re in im 0.724 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.724 * [taylor]: Taking taylor expansion of -1 in im 0.724 * [taylor]: Taking taylor expansion of re in im 0.724 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.724 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.724 * [taylor]: Taking taylor expansion of -1 in im 0.724 * [taylor]: Taking taylor expansion of im in im 0.724 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.724 * [taylor]: Taking taylor expansion of -1 in im 0.724 * [taylor]: Taking taylor expansion of im in im 0.727 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.727 * [taylor]: Taking taylor expansion of re in im 0.727 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.727 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.727 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.727 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.727 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.727 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.727 * [taylor]: Taking taylor expansion of -1 in re 0.727 * [taylor]: Taking taylor expansion of re in re 0.728 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.728 * [taylor]: Taking taylor expansion of -1 in re 0.728 * [taylor]: Taking taylor expansion of re in re 0.728 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.728 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.728 * [taylor]: Taking taylor expansion of -1 in re 0.728 * [taylor]: Taking taylor expansion of im in re 0.728 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.728 * [taylor]: Taking taylor expansion of -1 in re 0.728 * [taylor]: Taking taylor expansion of im in re 0.731 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.731 * [taylor]: Taking taylor expansion of re in re 0.731 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.731 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.731 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.731 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.731 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.731 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.731 * [taylor]: Taking taylor expansion of -1 in re 0.731 * [taylor]: Taking taylor expansion of re in re 0.731 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.731 * [taylor]: Taking taylor expansion of -1 in re 0.731 * [taylor]: Taking taylor expansion of re in re 0.732 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.732 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.732 * [taylor]: Taking taylor expansion of -1 in re 0.732 * [taylor]: Taking taylor expansion of im in re 0.732 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.732 * [taylor]: Taking taylor expansion of -1 in re 0.732 * [taylor]: Taking taylor expansion of im in re 0.734 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.734 * [taylor]: Taking taylor expansion of re in re 0.735 * [taylor]: Taking taylor expansion of 0 in im 0.736 * [taylor]: Taking taylor expansion of 0 in im 0.739 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.739 * [taylor]: Taking taylor expansion of 1/2 in im 0.739 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.739 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.739 * [taylor]: Taking taylor expansion of im in im 0.744 * [taylor]: Taking taylor expansion of 0 in im 0.746 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.746 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0 0.746 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im 0.746 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 0.746 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.746 * [taylor]: Taking taylor expansion of re in im 0.746 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.746 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.746 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.746 * [taylor]: Taking taylor expansion of (* re re) in im 0.746 * [taylor]: Taking taylor expansion of re in im 0.746 * [taylor]: Taking taylor expansion of re in im 0.746 * [taylor]: Taking taylor expansion of (* im im) in im 0.746 * [taylor]: Taking taylor expansion of im in im 0.746 * [taylor]: Taking taylor expansion of im in im 0.747 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.747 * [taylor]: Taking taylor expansion of 2.0 in im 0.748 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 0.748 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 0.748 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.748 * [taylor]: Taking taylor expansion of re in re 0.748 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.748 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.748 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.748 * [taylor]: Taking taylor expansion of (* re re) in re 0.748 * [taylor]: Taking taylor expansion of re in re 0.748 * [taylor]: Taking taylor expansion of re in re 0.748 * [taylor]: Taking taylor expansion of (* im im) in re 0.748 * [taylor]: Taking taylor expansion of im in re 0.748 * [taylor]: Taking taylor expansion of im in re 0.750 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.750 * [taylor]: Taking taylor expansion of 2.0 in re 0.750 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 0.751 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 0.751 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.751 * [taylor]: Taking taylor expansion of re in re 0.751 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.751 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.751 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.751 * [taylor]: Taking taylor expansion of (* re re) in re 0.751 * [taylor]: Taking taylor expansion of re in re 0.751 * [taylor]: Taking taylor expansion of re in re 0.751 * [taylor]: Taking taylor expansion of (* im im) in re 0.751 * [taylor]: Taking taylor expansion of im in re 0.751 * [taylor]: Taking taylor expansion of im in re 0.752 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.752 * [taylor]: Taking taylor expansion of 2.0 in re 0.753 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.753 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.753 * [taylor]: Taking taylor expansion of 2.0 in im 0.754 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.754 * [taylor]: Taking taylor expansion of im in im 0.756 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.756 * [taylor]: Taking taylor expansion of 1/2 in im 0.756 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.756 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.756 * [taylor]: Taking taylor expansion of 2.0 in im 0.756 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.756 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.756 * [taylor]: Taking taylor expansion of im in im 0.773 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.773 * [taylor]: Taking taylor expansion of 1/8 in im 0.773 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.773 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.773 * [taylor]: Taking taylor expansion of 2.0 in im 0.774 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.774 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.774 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.774 * [taylor]: Taking taylor expansion of im in im 0.789 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in (re im) around 0 0.789 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in im 0.789 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 0.789 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 0.789 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.789 * [taylor]: Taking taylor expansion of re in im 0.789 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.790 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.790 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.790 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.790 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.790 * [taylor]: Taking taylor expansion of re in im 0.790 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.790 * [taylor]: Taking taylor expansion of re in im 0.790 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.790 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.790 * [taylor]: Taking taylor expansion of im in im 0.790 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.790 * [taylor]: Taking taylor expansion of im in im 0.794 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.794 * [taylor]: Taking taylor expansion of 2.0 in im 0.795 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 0.795 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 0.795 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.795 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.795 * [taylor]: Taking taylor expansion of re in re 0.795 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.795 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.795 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.795 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.795 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.795 * [taylor]: Taking taylor expansion of re in re 0.795 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.795 * [taylor]: Taking taylor expansion of re in re 0.796 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.796 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.796 * [taylor]: Taking taylor expansion of im in re 0.796 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.796 * [taylor]: Taking taylor expansion of im in re 0.799 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.799 * [taylor]: Taking taylor expansion of 2.0 in re 0.800 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 0.800 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 0.800 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.800 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.800 * [taylor]: Taking taylor expansion of re in re 0.800 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.800 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.800 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.800 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.801 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.801 * [taylor]: Taking taylor expansion of re in re 0.801 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.801 * [taylor]: Taking taylor expansion of re in re 0.801 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.801 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.801 * [taylor]: Taking taylor expansion of im in re 0.801 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.801 * [taylor]: Taking taylor expansion of im in re 0.805 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.805 * [taylor]: Taking taylor expansion of 2.0 in re 0.806 * [taylor]: Taking taylor expansion of 0 in im 0.807 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.807 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.807 * [taylor]: Taking taylor expansion of +nan.0 in im 0.807 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.807 * [taylor]: Taking taylor expansion of 2.0 in im 0.813 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.813 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.813 * [taylor]: Taking taylor expansion of +nan.0 in im 0.813 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.813 * [taylor]: Taking taylor expansion of 2.0 in im 0.821 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.822 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.822 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.822 * [taylor]: Taking taylor expansion of +nan.0 in im 0.822 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.822 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.822 * [taylor]: Taking taylor expansion of 2.0 in im 0.822 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.822 * [taylor]: Taking taylor expansion of im 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 0.835 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.835 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.835 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.835 * [taylor]: Taking taylor expansion of +nan.0 in im 0.835 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.835 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.835 * [taylor]: Taking taylor expansion of 2.0 in im 0.836 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.836 * [taylor]: Taking taylor expansion of im in im 0.837 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.837 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.837 * [taylor]: Taking taylor expansion of +nan.0 in im 0.837 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.837 * [taylor]: Taking taylor expansion of 2.0 in im 0.849 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 0.849 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 0.849 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.849 * [taylor]: Taking taylor expansion of 2.0 in im 0.850 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 0.850 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.850 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.850 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.850 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.850 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.850 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.850 * [taylor]: Taking taylor expansion of -1 in im 0.850 * [taylor]: Taking taylor expansion of re in im 0.850 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.850 * [taylor]: Taking taylor expansion of -1 in im 0.850 * [taylor]: Taking taylor expansion of re in im 0.850 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.850 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.850 * [taylor]: Taking taylor expansion of -1 in im 0.850 * [taylor]: Taking taylor expansion of im in im 0.851 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.851 * [taylor]: Taking taylor expansion of -1 in im 0.851 * [taylor]: Taking taylor expansion of im in im 0.860 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.860 * [taylor]: Taking taylor expansion of re in im 0.861 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.861 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.861 * [taylor]: Taking taylor expansion of 2.0 in re 0.862 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.862 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.862 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.862 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.862 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.862 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.862 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.862 * [taylor]: Taking taylor expansion of -1 in re 0.862 * [taylor]: Taking taylor expansion of re in re 0.862 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.862 * [taylor]: Taking taylor expansion of -1 in re 0.863 * [taylor]: Taking taylor expansion of re in re 0.863 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.863 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.863 * [taylor]: Taking taylor expansion of -1 in re 0.863 * [taylor]: Taking taylor expansion of im in re 0.863 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.863 * [taylor]: Taking taylor expansion of -1 in re 0.863 * [taylor]: Taking taylor expansion of im in re 0.865 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.865 * [taylor]: Taking taylor expansion of re in re 0.871 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.871 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.871 * [taylor]: Taking taylor expansion of 2.0 in re 0.871 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.871 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.871 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.872 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.872 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.872 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.872 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.872 * [taylor]: Taking taylor expansion of -1 in re 0.872 * [taylor]: Taking taylor expansion of re in re 0.872 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.872 * [taylor]: Taking taylor expansion of -1 in re 0.872 * [taylor]: Taking taylor expansion of re in re 0.872 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.872 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.872 * [taylor]: Taking taylor expansion of -1 in re 0.872 * [taylor]: Taking taylor expansion of im in re 0.872 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.872 * [taylor]: Taking taylor expansion of -1 in re 0.872 * [taylor]: Taking taylor expansion of im in re 0.875 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.875 * [taylor]: Taking taylor expansion of re in re 0.881 * [taylor]: Taking taylor expansion of 0 in im 0.881 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.881 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.881 * [taylor]: Taking taylor expansion of +nan.0 in im 0.881 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.881 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.881 * [taylor]: Taking taylor expansion of 2.0 in im 0.882 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.882 * [taylor]: Taking taylor expansion of im in im 0.890 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.890 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.890 * [taylor]: Taking taylor expansion of +nan.0 in im 0.890 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.890 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.890 * [taylor]: Taking taylor expansion of 2.0 in im 0.890 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.891 * [taylor]: Taking taylor expansion of im in im 0.906 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.906 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.906 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.906 * [taylor]: Taking taylor expansion of +nan.0 in im 0.906 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.906 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.906 * [taylor]: Taking taylor expansion of 2.0 in im 0.907 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.907 * [taylor]: Taking taylor expansion of im in im 0.908 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.908 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.908 * [taylor]: Taking taylor expansion of +nan.0 in im 0.908 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.908 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.908 * [taylor]: Taking taylor expansion of 2.0 in im 0.909 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.909 * [taylor]: Taking taylor expansion of im in im 0.931 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 2 1) 0.932 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.932 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.932 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.932 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.932 * [taylor]: Taking taylor expansion of (* re re) in im 0.932 * [taylor]: Taking taylor expansion of re in im 0.932 * [taylor]: Taking taylor expansion of re in im 0.932 * [taylor]: Taking taylor expansion of (* im im) in im 0.932 * [taylor]: Taking taylor expansion of im in im 0.932 * [taylor]: Taking taylor expansion of im in im 0.933 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.933 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.933 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.933 * [taylor]: Taking taylor expansion of (* re re) in re 0.933 * [taylor]: Taking taylor expansion of re in re 0.933 * [taylor]: Taking taylor expansion of re in re 0.933 * [taylor]: Taking taylor expansion of (* im im) in re 0.933 * [taylor]: Taking taylor expansion of im in re 0.933 * [taylor]: Taking taylor expansion of im in re 0.934 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.935 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.935 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.935 * [taylor]: Taking taylor expansion of (* re re) in re 0.935 * [taylor]: Taking taylor expansion of re in re 0.935 * [taylor]: Taking taylor expansion of re in re 0.935 * [taylor]: Taking taylor expansion of (* im im) in re 0.935 * [taylor]: Taking taylor expansion of im in re 0.935 * [taylor]: Taking taylor expansion of im in re 0.936 * [taylor]: Taking taylor expansion of im in im 0.936 * [taylor]: Taking taylor expansion of 0 in im 0.943 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.944 * [taylor]: Taking taylor expansion of 1/2 in im 0.944 * [taylor]: Taking taylor expansion of im in im 0.946 * [taylor]: Taking taylor expansion of 0 in im 0.946 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.946 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.947 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.947 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.947 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.947 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.947 * [taylor]: Taking taylor expansion of re in im 0.947 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.947 * [taylor]: Taking taylor expansion of re in im 0.947 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.947 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.947 * [taylor]: Taking taylor expansion of im in im 0.947 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.947 * [taylor]: Taking taylor expansion of im in im 0.950 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.950 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.950 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.950 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.950 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.950 * [taylor]: Taking taylor expansion of re in re 0.950 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.950 * [taylor]: Taking taylor expansion of re in re 0.950 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.950 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.950 * [taylor]: Taking taylor expansion of im in re 0.951 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.951 * [taylor]: Taking taylor expansion of im in re 0.953 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.953 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.953 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.953 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.953 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.953 * [taylor]: Taking taylor expansion of re in re 0.953 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.953 * [taylor]: Taking taylor expansion of re in re 0.954 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.954 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.954 * [taylor]: Taking taylor expansion of im in re 0.954 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.954 * [taylor]: Taking taylor expansion of im in re 0.956 * [taylor]: Taking taylor expansion of 1 in im 0.956 * [taylor]: Taking taylor expansion of 0 in im 0.959 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.959 * [taylor]: Taking taylor expansion of 1/2 in im 0.959 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.959 * [taylor]: Taking taylor expansion of im in im 0.962 * [taylor]: Taking taylor expansion of 0 in im 0.963 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.963 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.964 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.964 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.964 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.964 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.964 * [taylor]: Taking taylor expansion of -1 in im 0.964 * [taylor]: Taking taylor expansion of re in im 0.964 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.964 * [taylor]: Taking taylor expansion of -1 in im 0.964 * [taylor]: Taking taylor expansion of re in im 0.964 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.964 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.964 * [taylor]: Taking taylor expansion of -1 in im 0.964 * [taylor]: Taking taylor expansion of im in im 0.964 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.964 * [taylor]: Taking taylor expansion of -1 in im 0.964 * [taylor]: Taking taylor expansion of im in im 0.967 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 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 re 0.967 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.967 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.967 * [taylor]: Taking taylor expansion of -1 in re 0.967 * [taylor]: Taking taylor expansion of re in re 0.967 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.967 * [taylor]: Taking taylor expansion of -1 in re 0.967 * [taylor]: Taking taylor expansion of re in re 0.968 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.968 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.968 * [taylor]: Taking taylor expansion of -1 in re 0.968 * [taylor]: Taking taylor expansion of im in re 0.968 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.968 * [taylor]: Taking taylor expansion of -1 in re 0.968 * [taylor]: Taking taylor expansion of im in re 0.970 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.970 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.970 * [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 -1 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 -1 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 -1 in re 0.971 * [taylor]: Taking taylor expansion of im in re 0.971 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.971 * [taylor]: Taking taylor expansion of -1 in re 0.971 * [taylor]: Taking taylor expansion of im in re 0.974 * [taylor]: Taking taylor expansion of 1 in im 0.974 * [taylor]: Taking taylor expansion of 0 in im 0.976 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.976 * [taylor]: Taking taylor expansion of 1/2 in im 0.976 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.976 * [taylor]: Taking taylor expansion of im in im 0.980 * [taylor]: Taking taylor expansion of 0 in im 0.981 * * * [progress]: simplifying candidates 0.982 * [simplify]: Simplifying using # : (expm1 (+ (hypot re im) re)) (log1p (+ (hypot re im) re)) (* (exp (hypot re im)) (exp re)) (log (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))) (cbrt (+ (hypot re im) re)) (* (* (+ (hypot re im) re) (+ (hypot re im) re)) (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (+ (pow (hypot re im) 3) (pow re 3)) (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re))) (- (* (hypot re im) (hypot re im)) (* re re)) (- (hypot re im) re) (+ (hypot re im) re) (expm1 (sqrt (* 2.0 (+ (hypot re im) re)))) (log1p (sqrt (* 2.0 (+ (hypot re im) re)))) (log (sqrt (* 2.0 (+ (hypot re im) re)))) (exp (sqrt (* 2.0 (+ (hypot re im) re)))) (* (cbrt (sqrt (* 2.0 (+ (hypot re im) re)))) (cbrt (sqrt (* 2.0 (+ (hypot re im) re))))) (cbrt (sqrt (* 2.0 (+ (hypot re im) re)))) (* (* (sqrt (* 2.0 (+ (hypot re im) re))) (sqrt (* 2.0 (+ (hypot re im) re)))) (sqrt (* 2.0 (+ (hypot re im) re)))) (sqrt 2.0) (sqrt (+ (hypot re im) re)) (sqrt (* 2.0 (+ (pow (hypot re im) 3) (pow re 3)))) (sqrt (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re)))) (sqrt (* 2.0 (- (* (hypot re im) (hypot re im)) (* re re)))) (sqrt (- (hypot re im) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (+ (hypot re im) re)))) (sqrt (sqrt (* 2.0 (+ (hypot re im) re)))) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (+ re im) (* 2 re) 0 (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0 im re (* -1 re) 0.987 * * [simplify]: iteration 0 : 196 enodes (cost 197 ) 0.991 * * [simplify]: iteration 1 : 536 enodes (cost 180 ) 1.001 * * [simplify]: iteration 2 : 1779 enodes (cost 174 ) 1.036 * * [simplify]: iteration 3 : 5002 enodes (cost 172 ) 1.037 * [simplify]: Simplified to: (expm1 (+ (hypot re im) re)) (log1p (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (log (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))) (cbrt (+ (hypot re im) re)) (pow (+ (hypot re im) re) 3) (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (+ (pow (hypot re im) 3) (pow re 3)) (fma (hypot re im) (- (hypot re im) re) (pow re 2)) (- (* (hypot re im) (hypot re im)) (* re re)) (- (hypot re im) re) (+ (hypot re im) re) (expm1 (sqrt (* 2.0 (+ (hypot re im) re)))) (log1p (sqrt (* 2.0 (+ (hypot re im) re)))) (log (sqrt (* 2.0 (+ (hypot re im) re)))) (exp (sqrt (* 2.0 (+ (hypot re im) re)))) (* (cbrt (sqrt (* 2.0 (+ (hypot re im) re)))) (cbrt (sqrt (* 2.0 (+ (hypot re im) re))))) (cbrt (sqrt (* 2.0 (+ (hypot re im) re)))) (pow (sqrt (* 2.0 (+ (hypot re im) re))) 3) (sqrt 2.0) (sqrt (+ (hypot re im) re)) (sqrt (* 2.0 (+ (pow (hypot re im) 3) (pow re 3)))) (sqrt (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re)))) (sqrt (* 2.0 (- (* (hypot re im) (hypot re im)) (* re re)))) (sqrt (- (hypot re im) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (+ (hypot re im) re)))) (sqrt (sqrt (* 2.0 (+ (hypot re im) re)))) (expm1 (hypot re im)) (log1p (hypot re im)) (fma re re (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (sqrt (hypot re im)) (sqrt (hypot re im)) (+ re im) (* 2 re) 0 (* (* +nan.0 (sqrt 2.0)) (- (- im re) (pow re 2))) (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) 0 im re (* -1 re) 1.038 * * * [progress]: adding candidates to table 1.152 * * [progress]: iteration 3 / 4 1.152 * * * [progress]: picking best candidate 1.163 * * * * [pick]: Picked # 1.163 * * * [progress]: localizing error 1.172 * * * [progress]: generating rewritten candidates 1.172 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 1.175 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.183 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1) 1.184 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 1.189 * * * [progress]: generating series expansions 1.189 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 1.189 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 1.189 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.189 * [taylor]: Taking taylor expansion of re in im 1.189 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.190 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.190 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.190 * [taylor]: Taking taylor expansion of (* re re) in im 1.190 * [taylor]: Taking taylor expansion of re in im 1.190 * [taylor]: Taking taylor expansion of re in im 1.190 * [taylor]: Taking taylor expansion of (* im im) in im 1.190 * [taylor]: Taking taylor expansion of im in im 1.190 * [taylor]: Taking taylor expansion of im in im 1.191 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.191 * [taylor]: Taking taylor expansion of re in re 1.191 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.191 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.191 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.191 * [taylor]: Taking taylor expansion of (* re re) in re 1.191 * [taylor]: Taking taylor expansion of re in re 1.191 * [taylor]: Taking taylor expansion of re in re 1.192 * [taylor]: Taking taylor expansion of (* im im) in re 1.192 * [taylor]: Taking taylor expansion of im in re 1.192 * [taylor]: Taking taylor expansion of im in re 1.193 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.193 * [taylor]: Taking taylor expansion of re in re 1.193 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.193 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.193 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.193 * [taylor]: Taking taylor expansion of (* re re) in re 1.193 * [taylor]: Taking taylor expansion of re in re 1.193 * [taylor]: Taking taylor expansion of re in re 1.193 * [taylor]: Taking taylor expansion of (* im im) in re 1.193 * [taylor]: Taking taylor expansion of im in re 1.193 * [taylor]: Taking taylor expansion of im in re 1.194 * [taylor]: Taking taylor expansion of im in im 1.194 * [taylor]: Taking taylor expansion of 1 in im 1.196 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.196 * [taylor]: Taking taylor expansion of 1/2 in im 1.196 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.196 * [taylor]: Taking taylor expansion of im in im 1.199 * [taylor]: Taking taylor expansion of 0 in im 1.200 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 1.200 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 1.200 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.200 * [taylor]: Taking taylor expansion of re in im 1.200 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.200 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.200 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.200 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.200 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.200 * [taylor]: Taking taylor expansion of re in im 1.200 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.200 * [taylor]: Taking taylor expansion of re in im 1.200 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.200 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.200 * [taylor]: Taking taylor expansion of im in im 1.201 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.201 * [taylor]: Taking taylor expansion of im in im 1.203 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.203 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.203 * [taylor]: Taking taylor expansion of re in re 1.203 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.204 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.204 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.204 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.204 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.204 * [taylor]: Taking taylor expansion of re in re 1.204 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.204 * [taylor]: Taking taylor expansion of re in re 1.204 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.204 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.204 * [taylor]: Taking taylor expansion of im in re 1.204 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.204 * [taylor]: Taking taylor expansion of im in re 1.207 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.207 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.207 * [taylor]: Taking taylor expansion of re in re 1.207 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.207 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.207 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.207 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.207 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.207 * [taylor]: Taking taylor expansion of re in re 1.208 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.208 * [taylor]: Taking taylor expansion of re in re 1.208 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.208 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.208 * [taylor]: Taking taylor expansion of im in re 1.208 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.208 * [taylor]: Taking taylor expansion of im in re 1.211 * [taylor]: Taking taylor expansion of 2 in im 1.211 * [taylor]: Taking taylor expansion of 0 in im 1.214 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.214 * [taylor]: Taking taylor expansion of 1/2 in im 1.214 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.214 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.214 * [taylor]: Taking taylor expansion of im in im 1.224 * [taylor]: Taking taylor expansion of 0 in im 1.226 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 1.226 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.226 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.226 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.226 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.226 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.226 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.226 * [taylor]: Taking taylor expansion of -1 in im 1.226 * [taylor]: Taking taylor expansion of re in im 1.226 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.226 * [taylor]: Taking taylor expansion of -1 in im 1.226 * [taylor]: Taking taylor expansion of re in im 1.226 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.226 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.226 * [taylor]: Taking taylor expansion of -1 in im 1.226 * [taylor]: Taking taylor expansion of im in im 1.226 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.226 * [taylor]: Taking taylor expansion of -1 in im 1.226 * [taylor]: Taking taylor expansion of im in im 1.229 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.229 * [taylor]: Taking taylor expansion of re in im 1.229 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.229 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.229 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.229 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.230 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.230 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.230 * [taylor]: Taking taylor expansion of -1 in re 1.230 * [taylor]: Taking taylor expansion of re in re 1.230 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.230 * [taylor]: Taking taylor expansion of -1 in re 1.230 * [taylor]: Taking taylor expansion of re in re 1.230 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.230 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.230 * [taylor]: Taking taylor expansion of -1 in re 1.230 * [taylor]: Taking taylor expansion of im in re 1.230 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.230 * [taylor]: Taking taylor expansion of -1 in re 1.230 * [taylor]: Taking taylor expansion of im in re 1.233 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.233 * [taylor]: Taking taylor expansion of re in re 1.233 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.233 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.233 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.233 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.233 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.233 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.233 * [taylor]: Taking taylor expansion of -1 in re 1.233 * [taylor]: Taking taylor expansion of re in re 1.234 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.234 * [taylor]: Taking taylor expansion of -1 in re 1.234 * [taylor]: Taking taylor expansion of re in re 1.234 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.234 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.234 * [taylor]: Taking taylor expansion of -1 in re 1.234 * [taylor]: Taking taylor expansion of im in re 1.234 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.234 * [taylor]: Taking taylor expansion of -1 in re 1.234 * [taylor]: Taking taylor expansion of im in re 1.237 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.237 * [taylor]: Taking taylor expansion of re in re 1.237 * [taylor]: Taking taylor expansion of 0 in im 1.238 * [taylor]: Taking taylor expansion of 0 in im 1.241 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.241 * [taylor]: Taking taylor expansion of 1/2 in im 1.241 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.241 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.241 * [taylor]: Taking taylor expansion of im in im 1.246 * [taylor]: Taking taylor expansion of 0 in im 1.248 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.249 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0 1.249 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im 1.249 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 1.249 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.249 * [taylor]: Taking taylor expansion of re in im 1.249 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.249 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.249 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.249 * [taylor]: Taking taylor expansion of (* re re) in im 1.249 * [taylor]: Taking taylor expansion of re in im 1.249 * [taylor]: Taking taylor expansion of re in im 1.249 * [taylor]: Taking taylor expansion of (* im im) in im 1.249 * [taylor]: Taking taylor expansion of im in im 1.249 * [taylor]: Taking taylor expansion of im in im 1.250 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.250 * [taylor]: Taking taylor expansion of 2.0 in im 1.251 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 1.251 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 1.251 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.251 * [taylor]: Taking taylor expansion of re in re 1.251 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.251 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.251 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.251 * [taylor]: Taking taylor expansion of (* re re) in re 1.251 * [taylor]: Taking taylor expansion of re in re 1.251 * [taylor]: Taking taylor expansion of re in re 1.251 * [taylor]: Taking taylor expansion of (* im im) in re 1.251 * [taylor]: Taking taylor expansion of im in re 1.251 * [taylor]: Taking taylor expansion of im in re 1.253 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.253 * [taylor]: Taking taylor expansion of 2.0 in re 1.253 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 1.253 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 1.254 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.254 * [taylor]: Taking taylor expansion of re in re 1.254 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.254 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.254 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.254 * [taylor]: Taking taylor expansion of (* re re) in re 1.254 * [taylor]: Taking taylor expansion of re in re 1.254 * [taylor]: Taking taylor expansion of re in re 1.254 * [taylor]: Taking taylor expansion of (* im im) in re 1.254 * [taylor]: Taking taylor expansion of im in re 1.254 * [taylor]: Taking taylor expansion of im in re 1.255 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.255 * [taylor]: Taking taylor expansion of 2.0 in re 1.256 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 1.256 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.256 * [taylor]: Taking taylor expansion of 2.0 in im 1.257 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.257 * [taylor]: Taking taylor expansion of im in im 1.259 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 1.259 * [taylor]: Taking taylor expansion of 1/2 in im 1.259 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 1.259 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.259 * [taylor]: Taking taylor expansion of 2.0 in im 1.259 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.259 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.259 * [taylor]: Taking taylor expansion of im in im 1.270 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 1.270 * [taylor]: Taking taylor expansion of 1/8 in im 1.270 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 1.270 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.270 * [taylor]: Taking taylor expansion of 2.0 in im 1.271 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 1.271 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 1.271 * [taylor]: Taking taylor expansion of (pow im 3) in im 1.271 * [taylor]: Taking taylor expansion of im in im 1.286 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in (re im) around 0 1.286 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in im 1.286 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 1.286 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 1.286 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.286 * [taylor]: Taking taylor expansion of re in im 1.286 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.286 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.286 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.286 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.286 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.286 * [taylor]: Taking taylor expansion of re in im 1.286 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.286 * [taylor]: Taking taylor expansion of re in im 1.286 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.286 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.286 * [taylor]: Taking taylor expansion of im in im 1.287 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.287 * [taylor]: Taking taylor expansion of im in im 1.290 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.290 * [taylor]: Taking taylor expansion of 2.0 in im 1.291 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 1.291 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 1.291 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.291 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.291 * [taylor]: Taking taylor expansion of re in re 1.291 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.291 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.292 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.292 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.292 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.292 * [taylor]: Taking taylor expansion of re in re 1.292 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.292 * [taylor]: Taking taylor expansion of re in re 1.292 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.292 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.292 * [taylor]: Taking taylor expansion of im in re 1.292 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.292 * [taylor]: Taking taylor expansion of im in re 1.296 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.296 * [taylor]: Taking taylor expansion of 2.0 in re 1.297 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 1.297 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 1.297 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.297 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.297 * [taylor]: Taking taylor expansion of re in re 1.297 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.297 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.297 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.297 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.297 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.297 * [taylor]: Taking taylor expansion of re in re 1.297 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.298 * [taylor]: Taking taylor expansion of re in re 1.298 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.298 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.298 * [taylor]: Taking taylor expansion of im in re 1.298 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.298 * [taylor]: Taking taylor expansion of im in re 1.308 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.308 * [taylor]: Taking taylor expansion of 2.0 in re 1.309 * [taylor]: Taking taylor expansion of 0 in im 1.310 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.310 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.310 * [taylor]: Taking taylor expansion of +nan.0 in im 1.310 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.310 * [taylor]: Taking taylor expansion of 2.0 in im 1.316 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.316 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.316 * [taylor]: Taking taylor expansion of +nan.0 in im 1.316 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.316 * [taylor]: Taking taylor expansion of 2.0 in im 1.325 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 1.325 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 1.325 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.325 * [taylor]: Taking taylor expansion of +nan.0 in im 1.325 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.325 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.325 * [taylor]: Taking taylor expansion of 2.0 in im 1.326 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.326 * [taylor]: Taking taylor expansion of im in im 1.327 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.327 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.327 * [taylor]: Taking taylor expansion of +nan.0 in im 1.327 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.327 * [taylor]: Taking taylor expansion of 2.0 in im 1.338 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 1.338 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 1.338 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.338 * [taylor]: Taking taylor expansion of +nan.0 in im 1.338 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.338 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.338 * [taylor]: Taking taylor expansion of 2.0 in im 1.339 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.339 * [taylor]: Taking taylor expansion of im in im 1.340 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.340 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.340 * [taylor]: Taking taylor expansion of +nan.0 in im 1.340 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.340 * [taylor]: Taking taylor expansion of 2.0 in im 1.353 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 1.353 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 1.353 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.353 * [taylor]: Taking taylor expansion of 2.0 in im 1.354 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 1.354 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.354 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.354 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.354 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.354 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.354 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.354 * [taylor]: Taking taylor expansion of -1 in im 1.354 * [taylor]: Taking taylor expansion of re in im 1.354 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.354 * [taylor]: Taking taylor expansion of -1 in im 1.354 * [taylor]: Taking taylor expansion of re in im 1.354 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.354 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.354 * [taylor]: Taking taylor expansion of -1 in im 1.354 * [taylor]: Taking taylor expansion of im in im 1.354 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.354 * [taylor]: Taking taylor expansion of -1 in im 1.355 * [taylor]: Taking taylor expansion of im in im 1.357 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.357 * [taylor]: Taking taylor expansion of re in im 1.359 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 1.359 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.359 * [taylor]: Taking taylor expansion of 2.0 in re 1.360 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.360 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.360 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.360 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.360 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.360 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.360 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.360 * [taylor]: Taking taylor expansion of -1 in re 1.360 * [taylor]: Taking taylor expansion of re in re 1.360 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.360 * [taylor]: Taking taylor expansion of -1 in re 1.360 * [taylor]: Taking taylor expansion of re in re 1.361 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.361 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.361 * [taylor]: Taking taylor expansion of -1 in re 1.361 * [taylor]: Taking taylor expansion of im in re 1.361 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.361 * [taylor]: Taking taylor expansion of -1 in re 1.361 * [taylor]: Taking taylor expansion of im in re 1.363 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.363 * [taylor]: Taking taylor expansion of re in re 1.369 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 1.369 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.369 * [taylor]: Taking taylor expansion of 2.0 in re 1.369 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.369 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.369 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.370 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.370 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.370 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.370 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.370 * [taylor]: Taking taylor expansion of -1 in re 1.370 * [taylor]: Taking taylor expansion of re in re 1.370 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.370 * [taylor]: Taking taylor expansion of -1 in re 1.370 * [taylor]: Taking taylor expansion of re in re 1.370 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.370 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.370 * [taylor]: Taking taylor expansion of -1 in re 1.370 * [taylor]: Taking taylor expansion of im in re 1.370 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.370 * [taylor]: Taking taylor expansion of -1 in re 1.370 * [taylor]: Taking taylor expansion of im in re 1.373 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.373 * [taylor]: Taking taylor expansion of re in re 1.379 * [taylor]: Taking taylor expansion of 0 in im 1.380 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 1.380 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.380 * [taylor]: Taking taylor expansion of +nan.0 in im 1.380 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.380 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.380 * [taylor]: Taking taylor expansion of 2.0 in im 1.380 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.381 * [taylor]: Taking taylor expansion of im in im 1.388 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 1.388 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.388 * [taylor]: Taking taylor expansion of +nan.0 in im 1.388 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.388 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.388 * [taylor]: Taking taylor expansion of 2.0 in im 1.389 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.389 * [taylor]: Taking taylor expansion of im in im 1.412 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 1.412 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 1.412 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.412 * [taylor]: Taking taylor expansion of +nan.0 in im 1.412 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.412 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.412 * [taylor]: Taking taylor expansion of 2.0 in im 1.413 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.413 * [taylor]: Taking taylor expansion of im in im 1.414 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 1.414 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 1.414 * [taylor]: Taking taylor expansion of +nan.0 in im 1.414 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 1.414 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.414 * [taylor]: Taking taylor expansion of 2.0 in im 1.415 * [taylor]: Taking taylor expansion of (pow im 6) in im 1.415 * [taylor]: Taking taylor expansion of im in im 1.437 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1) 1.437 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 1.437 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.437 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.437 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.437 * [taylor]: Taking taylor expansion of (* re re) in im 1.437 * [taylor]: Taking taylor expansion of re in im 1.437 * [taylor]: Taking taylor expansion of re in im 1.437 * [taylor]: Taking taylor expansion of (* im im) in im 1.437 * [taylor]: Taking taylor expansion of im in im 1.437 * [taylor]: Taking taylor expansion of im in im 1.438 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.438 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.438 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.438 * [taylor]: Taking taylor expansion of (* re re) in re 1.438 * [taylor]: Taking taylor expansion of re in re 1.438 * [taylor]: Taking taylor expansion of re in re 1.438 * [taylor]: Taking taylor expansion of (* im im) in re 1.438 * [taylor]: Taking taylor expansion of im in re 1.438 * [taylor]: Taking taylor expansion of im in re 1.440 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.440 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.440 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.440 * [taylor]: Taking taylor expansion of (* re re) in re 1.440 * [taylor]: Taking taylor expansion of re in re 1.440 * [taylor]: Taking taylor expansion of re in re 1.440 * [taylor]: Taking taylor expansion of (* im im) in re 1.440 * [taylor]: Taking taylor expansion of im in re 1.440 * [taylor]: Taking taylor expansion of im in re 1.441 * [taylor]: Taking taylor expansion of im in im 1.441 * [taylor]: Taking taylor expansion of 0 in im 1.442 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.442 * [taylor]: Taking taylor expansion of 1/2 in im 1.442 * [taylor]: Taking taylor expansion of im in im 1.444 * [taylor]: Taking taylor expansion of 0 in im 1.445 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 1.445 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.445 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.445 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.445 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.445 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.445 * [taylor]: Taking taylor expansion of re in im 1.445 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.445 * [taylor]: Taking taylor expansion of re in im 1.445 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.445 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.445 * [taylor]: Taking taylor expansion of im in im 1.446 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.446 * [taylor]: Taking taylor expansion of im in im 1.449 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.449 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.449 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.449 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.449 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.449 * [taylor]: Taking taylor expansion of re in re 1.449 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.449 * [taylor]: Taking taylor expansion of re in re 1.449 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.449 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.449 * [taylor]: Taking taylor expansion of im in re 1.449 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.449 * [taylor]: Taking taylor expansion of im in re 1.452 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.452 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.452 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.452 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.452 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.452 * [taylor]: Taking taylor expansion of re in re 1.452 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.452 * [taylor]: Taking taylor expansion of re in re 1.453 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.453 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.453 * [taylor]: Taking taylor expansion of im in re 1.453 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.453 * [taylor]: Taking taylor expansion of im in re 1.455 * [taylor]: Taking taylor expansion of 1 in im 1.455 * [taylor]: Taking taylor expansion of 0 in im 1.458 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.458 * [taylor]: Taking taylor expansion of 1/2 in im 1.458 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.458 * [taylor]: Taking taylor expansion of im in im 1.461 * [taylor]: Taking taylor expansion of 0 in im 1.462 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 1.462 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.463 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.463 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.463 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.463 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.463 * [taylor]: Taking taylor expansion of -1 in im 1.463 * [taylor]: Taking taylor expansion of re in im 1.463 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.463 * [taylor]: Taking taylor expansion of -1 in im 1.463 * [taylor]: Taking taylor expansion of re in im 1.463 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.463 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.463 * [taylor]: Taking taylor expansion of -1 in im 1.463 * [taylor]: Taking taylor expansion of im in im 1.463 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.463 * [taylor]: Taking taylor expansion of -1 in im 1.463 * [taylor]: Taking taylor expansion of im in im 1.466 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.466 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.466 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.466 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.466 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.466 * [taylor]: Taking taylor expansion of -1 in re 1.466 * [taylor]: Taking taylor expansion of re in re 1.466 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.466 * [taylor]: Taking taylor expansion of -1 in re 1.466 * [taylor]: Taking taylor expansion of re in re 1.467 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.467 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.467 * [taylor]: Taking taylor expansion of -1 in re 1.467 * [taylor]: Taking taylor expansion of im in re 1.467 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.467 * [taylor]: Taking taylor expansion of -1 in re 1.467 * [taylor]: Taking taylor expansion of im in re 1.469 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.469 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.469 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.470 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.470 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.470 * [taylor]: Taking taylor expansion of -1 in re 1.470 * [taylor]: Taking taylor expansion of re in re 1.470 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.470 * [taylor]: Taking taylor expansion of -1 in re 1.470 * [taylor]: Taking taylor expansion of re in re 1.470 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.470 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.470 * [taylor]: Taking taylor expansion of -1 in re 1.470 * [taylor]: Taking taylor expansion of im in re 1.470 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.470 * [taylor]: Taking taylor expansion of -1 in re 1.470 * [taylor]: Taking taylor expansion of im in re 1.473 * [taylor]: Taking taylor expansion of 1 in im 1.473 * [taylor]: Taking taylor expansion of 0 in im 1.482 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.482 * [taylor]: Taking taylor expansion of 1/2 in im 1.482 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.482 * [taylor]: Taking taylor expansion of im in im 1.486 * [taylor]: Taking taylor expansion of 0 in im 1.487 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 1.487 * [approximate]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in (re im) around 0 1.488 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 1.488 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.488 * [taylor]: Taking taylor expansion of re in im 1.488 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.488 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.488 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.488 * [taylor]: Taking taylor expansion of (* re re) in im 1.488 * [taylor]: Taking taylor expansion of re in im 1.488 * [taylor]: Taking taylor expansion of re in im 1.488 * [taylor]: Taking taylor expansion of (* im im) in im 1.488 * [taylor]: Taking taylor expansion of im in im 1.488 * [taylor]: Taking taylor expansion of im in im 1.489 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 1.489 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.489 * [taylor]: Taking taylor expansion of re in re 1.489 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.490 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.490 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.490 * [taylor]: Taking taylor expansion of (* re re) in re 1.490 * [taylor]: Taking taylor expansion of re in re 1.490 * [taylor]: Taking taylor expansion of re in re 1.490 * [taylor]: Taking taylor expansion of (* im im) in re 1.490 * [taylor]: Taking taylor expansion of im in re 1.490 * [taylor]: Taking taylor expansion of im in re 1.491 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 1.491 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.491 * [taylor]: Taking taylor expansion of re in re 1.491 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.491 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.491 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.491 * [taylor]: Taking taylor expansion of (* re re) in re 1.491 * [taylor]: Taking taylor expansion of re in re 1.491 * [taylor]: Taking taylor expansion of re in re 1.491 * [taylor]: Taking taylor expansion of (* im im) in re 1.491 * [taylor]: Taking taylor expansion of im in re 1.491 * [taylor]: Taking taylor expansion of im in re 1.493 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.493 * [taylor]: Taking taylor expansion of im in im 1.494 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 im))) in im 1.494 * [taylor]: Taking taylor expansion of 1/2 in im 1.494 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.494 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.494 * [taylor]: Taking taylor expansion of im in im 1.499 * [taylor]: Taking taylor expansion of (* 1/8 (sqrt (/ 1 (pow im 3)))) in im 1.499 * [taylor]: Taking taylor expansion of 1/8 in im 1.499 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 1.499 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 1.499 * [taylor]: Taking taylor expansion of (pow im 3) in im 1.499 * [taylor]: Taking taylor expansion of im in im 1.506 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in (re im) around 0 1.506 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 1.506 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 1.506 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.506 * [taylor]: Taking taylor expansion of re in im 1.506 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.506 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.506 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.506 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.506 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.506 * [taylor]: Taking taylor expansion of re in im 1.506 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.506 * [taylor]: Taking taylor expansion of re in im 1.506 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.506 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.506 * [taylor]: Taking taylor expansion of im in im 1.506 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.506 * [taylor]: Taking taylor expansion of im in im 1.510 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 1.510 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.510 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.510 * [taylor]: Taking taylor expansion of re in re 1.511 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.511 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.511 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.511 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.511 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.511 * [taylor]: Taking taylor expansion of re in re 1.511 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.511 * [taylor]: Taking taylor expansion of re in re 1.511 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.511 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.511 * [taylor]: Taking taylor expansion of im in re 1.511 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.511 * [taylor]: Taking taylor expansion of im in re 1.515 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 1.515 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.515 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.515 * [taylor]: Taking taylor expansion of re in re 1.516 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.516 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.516 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.516 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.516 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.516 * [taylor]: Taking taylor expansion of re in re 1.516 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.516 * [taylor]: Taking taylor expansion of re in re 1.517 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.517 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.517 * [taylor]: Taking taylor expansion of im in re 1.517 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.517 * [taylor]: Taking taylor expansion of im in re 1.520 * [taylor]: Taking taylor expansion of 0 in im 1.521 * [taylor]: Taking taylor expansion of +nan.0 in im 1.523 * [taylor]: Taking taylor expansion of +nan.0 in im 1.527 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 1.527 * [taylor]: Taking taylor expansion of +nan.0 in im 1.527 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 1.527 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.527 * [taylor]: Taking taylor expansion of 1/2 in im 1.527 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.527 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.527 * [taylor]: Taking taylor expansion of im in im 1.528 * [taylor]: Taking taylor expansion of +nan.0 in im 1.534 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 1.534 * [taylor]: Taking taylor expansion of +nan.0 in im 1.534 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 1.534 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 1.534 * [taylor]: Taking taylor expansion of +nan.0 in im 1.534 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.534 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.534 * [taylor]: Taking taylor expansion of im in im 1.535 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.535 * [taylor]: Taking taylor expansion of +nan.0 in im 1.541 * [approximate]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in (re im) around 0 1.541 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 1.542 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.542 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.542 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.542 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.542 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.542 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.542 * [taylor]: Taking taylor expansion of -1 in im 1.542 * [taylor]: Taking taylor expansion of re in im 1.542 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.542 * [taylor]: Taking taylor expansion of -1 in im 1.542 * [taylor]: Taking taylor expansion of re in im 1.542 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.542 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.542 * [taylor]: Taking taylor expansion of -1 in im 1.542 * [taylor]: Taking taylor expansion of im in im 1.542 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.542 * [taylor]: Taking taylor expansion of -1 in im 1.542 * [taylor]: Taking taylor expansion of im in im 1.545 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.545 * [taylor]: Taking taylor expansion of re in im 1.546 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.546 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.546 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.547 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.547 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.547 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.547 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.547 * [taylor]: Taking taylor expansion of -1 in re 1.547 * [taylor]: Taking taylor expansion of re in re 1.547 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.547 * [taylor]: Taking taylor expansion of -1 in re 1.547 * [taylor]: Taking taylor expansion of re in re 1.547 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.547 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.547 * [taylor]: Taking taylor expansion of -1 in re 1.547 * [taylor]: Taking taylor expansion of im in re 1.547 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.547 * [taylor]: Taking taylor expansion of -1 in re 1.547 * [taylor]: Taking taylor expansion of im in re 1.550 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.550 * [taylor]: Taking taylor expansion of re in re 1.556 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.556 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.556 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.556 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.556 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.556 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.556 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.556 * [taylor]: Taking taylor expansion of -1 in re 1.556 * [taylor]: Taking taylor expansion of re in re 1.556 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.556 * [taylor]: Taking taylor expansion of -1 in re 1.556 * [taylor]: Taking taylor expansion of re in re 1.557 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.557 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.557 * [taylor]: Taking taylor expansion of -1 in re 1.557 * [taylor]: Taking taylor expansion of im in re 1.557 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.557 * [taylor]: Taking taylor expansion of -1 in re 1.557 * [taylor]: Taking taylor expansion of im in re 1.559 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.559 * [taylor]: Taking taylor expansion of re in re 1.571 * [taylor]: Taking taylor expansion of 0 in im 1.571 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 2)) in im 1.571 * [taylor]: Taking taylor expansion of +nan.0 in im 1.572 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.572 * [taylor]: Taking taylor expansion of im in im 1.577 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 4)) in im 1.577 * [taylor]: Taking taylor expansion of +nan.0 in im 1.577 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.577 * [taylor]: Taking taylor expansion of im in im 1.587 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6)))))) in im 1.587 * [taylor]: Taking taylor expansion of +nan.0 in im 1.588 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))) in im 1.588 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow im 4))) in im 1.588 * [taylor]: Taking taylor expansion of 1/8 in im 1.588 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 1.588 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.588 * [taylor]: Taking taylor expansion of im in im 1.588 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow im 6)))) in im 1.588 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 6))) in im 1.588 * [taylor]: Taking taylor expansion of +nan.0 in im 1.588 * [taylor]: Taking taylor expansion of (/ 1 (pow im 6)) in im 1.588 * [taylor]: Taking taylor expansion of (pow im 6) in im 1.588 * [taylor]: Taking taylor expansion of im in im 1.611 * * * [progress]: simplifying candidates 1.613 * [simplify]: Simplifying using # : (expm1 (+ (hypot re im) re)) (log1p (+ (hypot re im) re)) (* (exp (hypot re im)) (exp re)) (log (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))) (cbrt (+ (hypot re im) re)) (* (* (+ (hypot re im) re) (+ (hypot re im) re)) (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (+ (pow (hypot re im) 3) (pow re 3)) (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re))) (- (* (hypot re im) (hypot re im)) (* re re)) (- (hypot re im) re) (+ (hypot re im) re) (expm1 (* (sqrt 2.0) (sqrt (+ (hypot re im) re)))) (log1p (* (sqrt 2.0) (sqrt (+ (hypot re im) re)))) (* 2.0 (+ (hypot re im) re)) (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) (* 2.0 (+ (hypot re im) re)) (+ (log (sqrt 2.0)) (log (sqrt (+ (hypot re im) re)))) (log (* (sqrt 2.0) (sqrt (+ (hypot re im) re)))) (exp (* (sqrt 2.0) (sqrt (+ (hypot re im) re)))) (* (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re))) (sqrt (+ (hypot re im) re)))) (* (cbrt (* (sqrt 2.0) (sqrt (+ (hypot re im) re)))) (cbrt (* (sqrt 2.0) (sqrt (+ (hypot re im) re))))) (cbrt (* (sqrt 2.0) (sqrt (+ (hypot re im) re)))) (* (* (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) (* (sqrt 2.0) (sqrt (+ (hypot re im) re)))) (* (sqrt 2.0) (sqrt (+ (hypot re im) re)))) (* 2.0 (+ (hypot re im) re)) (sqrt (* (sqrt 2.0) (sqrt (+ (hypot re im) re)))) (sqrt (* (sqrt 2.0) (sqrt (+ (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (hypot re im) re)))) (* (sqrt 2.0) (* (cbrt (sqrt (+ (hypot re im) re))) (cbrt (sqrt (+ (hypot re im) re))))) (* (sqrt 2.0) (sqrt (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))))) (* (sqrt 2.0) (sqrt (sqrt (+ (hypot re im) re)))) (* (sqrt 2.0) (sqrt 1)) (* (sqrt 2.0) (sqrt 1)) (* (sqrt 2.0) (sqrt (sqrt (+ (hypot re im) re)))) (* (sqrt 2.0) 1) (* (cbrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))) (* (sqrt (cbrt 2.0)) (sqrt (+ (hypot re im) re))) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))) (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))) (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) (* (sqrt 2.0) (sqrt (+ (pow (hypot re im) 3) (pow re 3)))) (* (sqrt 2.0) (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (expm1 (sqrt (+ (hypot re im) re))) (log1p (sqrt (+ (hypot re im) re))) (log (sqrt (+ (hypot re im) re))) (exp (sqrt (+ (hypot re im) re))) (* (cbrt (sqrt (+ (hypot re im) re))) (cbrt (sqrt (+ (hypot re im) re)))) (cbrt (sqrt (+ (hypot re im) re))) (* (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re))) (sqrt (+ (hypot re im) re))) (sqrt (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re)))) (sqrt (cbrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re))) (sqrt 1) (sqrt (+ (hypot re im) re)) (sqrt 1) (sqrt (+ (hypot re im) re)) (sqrt (+ (pow (hypot re im) 3) (pow re 3))) (sqrt (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re)))) (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (- (hypot re im) re)) (/ 1 2) (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re))) (+ re im) (* 2 re) 0 (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0 im re (* -1 re) (- (+ (* +nan.0 (pow re 2)) (- (+ (* +nan.0 im) (- (* +nan.0 re)))))) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) 0 1.618 * * [simplify]: iteration 0 : 300 enodes (cost 457 ) 1.624 * * [simplify]: iteration 1 : 1015 enodes (cost 427 ) 1.645 * * [simplify]: iteration 2 : 4386 enodes (cost 412 ) 1.726 * * [simplify]: iteration 3 : 5001 enodes (cost 411 ) 1.729 * [simplify]: Simplified to: (expm1 (+ (hypot re im) re)) (log1p (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (log (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))) (cbrt (+ (hypot re im) re)) (pow (+ (hypot re im) re) 3) (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (+ (pow (hypot re im) 3) (pow re 3)) (fma (hypot re im) (- (hypot re im) re) (pow re 2)) (- (* (hypot re im) (hypot re im)) (* re re)) (- (hypot re im) re) (+ (hypot re im) re) (expm1 (* (sqrt 2.0) (sqrt (+ (hypot re im) re)))) (log1p (* (sqrt 2.0) (sqrt (+ (hypot re im) re)))) (* 2.0 (+ (hypot re im) re)) (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) (* 2.0 (+ (hypot re im) re)) (log (* (sqrt 2.0) (sqrt (+ (hypot re im) re)))) (log (* (sqrt 2.0) (sqrt (+ (hypot re im) re)))) (exp (* (sqrt 2.0) (sqrt (+ (hypot re im) re)))) (pow (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) 3) (* (cbrt (* (sqrt 2.0) (sqrt (+ (hypot re im) re)))) (cbrt (* (sqrt 2.0) (sqrt (+ (hypot re im) re))))) (cbrt (* (sqrt 2.0) (sqrt (+ (hypot re im) re)))) (pow (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) 3) (* 2.0 (+ (hypot re im) re)) (sqrt (* (sqrt 2.0) (sqrt (+ (hypot re im) re)))) (sqrt (* (sqrt 2.0) (sqrt (+ (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (hypot re im) re)))) (* (sqrt 2.0) (* (cbrt (sqrt (+ (hypot re im) re))) (cbrt (sqrt (+ (hypot re im) re))))) (* (fabs (cbrt (+ (hypot re im) re))) (sqrt 2.0)) (* (sqrt 2.0) (sqrt (sqrt (+ (hypot re im) re)))) (sqrt 2.0) (sqrt 2.0) (* (sqrt 2.0) (sqrt (sqrt (+ (hypot re im) re)))) (sqrt 2.0) (* (cbrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))) (* (sqrt (cbrt 2.0)) (sqrt (+ (hypot re im) re))) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))) (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))) (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) (* (sqrt 2.0) (hypot (pow re 3/2) (pow (hypot re im) 3/2))) (* (sqrt 2.0) (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (expm1 (hypot re im)) (log1p (hypot re im)) (fma re re (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (sqrt (hypot re im)) (sqrt (hypot re im)) (expm1 (sqrt (+ (hypot re im) re))) (log1p (sqrt (+ (hypot re im) re))) (log (sqrt (+ (hypot re im) re))) (exp (sqrt (+ (hypot re im) re))) (* (cbrt (sqrt (+ (hypot re im) re))) (cbrt (sqrt (+ (hypot re im) re)))) (cbrt (sqrt (+ (hypot re im) re))) (pow (sqrt (+ (hypot re im) re)) 3) (fabs (cbrt (+ (hypot re im) re))) (sqrt (cbrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re))) 1 (sqrt (+ (hypot re im) re)) 1 (sqrt (+ (hypot re im) re)) (hypot (pow re 3/2) (pow (hypot re im) 3/2)) (sqrt (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re)))) (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (- (hypot re im) re)) 1/2 (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re))) (+ re im) (* 2 re) 0 (* (* +nan.0 (sqrt 2.0)) (+ (- (* re re)) (- im re))) (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) 0 im re (* -1 re) (fma (- (* re re)) +nan.0 (* +nan.0 (- im re))) (- (- (/ +nan.0 re) +nan.0) (/ +nan.0 (pow re 2))) 0 1.730 * * * [progress]: adding candidates to table 1.926 * * [progress]: iteration 4 / 4 1.926 * * * [progress]: picking best candidate 1.935 * * * * [pick]: Picked # 1.935 * * * [progress]: localizing error 1.947 * * * [progress]: generating rewritten candidates 1.947 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2) 1.956 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 2) 1.957 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 2) 1.959 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1 1) 1.961 * * * [progress]: generating series expansions 1.961 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2) 1.961 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 1.961 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.961 * [taylor]: Taking taylor expansion of re in im 1.961 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.962 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.962 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.962 * [taylor]: Taking taylor expansion of (* re re) in im 1.962 * [taylor]: Taking taylor expansion of re in im 1.962 * [taylor]: Taking taylor expansion of re in im 1.962 * [taylor]: Taking taylor expansion of (* im im) in im 1.962 * [taylor]: Taking taylor expansion of im in im 1.962 * [taylor]: Taking taylor expansion of im in im 1.963 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.963 * [taylor]: Taking taylor expansion of re in re 1.963 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.963 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.963 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.963 * [taylor]: Taking taylor expansion of (* re re) in re 1.963 * [taylor]: Taking taylor expansion of re in re 1.963 * [taylor]: Taking taylor expansion of re in re 1.963 * [taylor]: Taking taylor expansion of (* im im) in re 1.964 * [taylor]: Taking taylor expansion of im in re 1.964 * [taylor]: Taking taylor expansion of im in re 1.965 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.965 * [taylor]: Taking taylor expansion of re in re 1.965 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.965 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.965 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.965 * [taylor]: Taking taylor expansion of (* re re) in re 1.965 * [taylor]: Taking taylor expansion of re in re 1.965 * [taylor]: Taking taylor expansion of re in re 1.965 * [taylor]: Taking taylor expansion of (* im im) in re 1.965 * [taylor]: Taking taylor expansion of im in re 1.965 * [taylor]: Taking taylor expansion of im in re 1.966 * [taylor]: Taking taylor expansion of im in im 1.966 * [taylor]: Taking taylor expansion of 1 in im 1.972 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.972 * [taylor]: Taking taylor expansion of 1/2 in im 1.972 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.972 * [taylor]: Taking taylor expansion of im in im 1.975 * [taylor]: Taking taylor expansion of 0 in im 1.977 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 1.977 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 1.977 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.977 * [taylor]: Taking taylor expansion of re in im 1.977 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.977 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.977 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.977 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.977 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.977 * [taylor]: Taking taylor expansion of re in im 1.977 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.977 * [taylor]: Taking taylor expansion of re in im 1.977 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.977 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.977 * [taylor]: Taking taylor expansion of im in im 1.977 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.977 * [taylor]: Taking taylor expansion of im in im 1.980 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.980 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.980 * [taylor]: Taking taylor expansion of re in re 1.980 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.980 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.980 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.980 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.980 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.980 * [taylor]: Taking taylor expansion of re in re 1.981 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.981 * [taylor]: Taking taylor expansion of re in re 1.981 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.981 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.981 * [taylor]: Taking taylor expansion of im in re 1.981 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.981 * [taylor]: Taking taylor expansion of im in re 1.984 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.984 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.984 * [taylor]: Taking taylor expansion of re in re 1.984 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.984 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.984 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.984 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.984 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.984 * [taylor]: Taking taylor expansion of re in re 1.984 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.984 * [taylor]: Taking taylor expansion of re in re 1.985 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.985 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.985 * [taylor]: Taking taylor expansion of im in re 1.985 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.985 * [taylor]: Taking taylor expansion of im in re 1.987 * [taylor]: Taking taylor expansion of 2 in im 1.988 * [taylor]: Taking taylor expansion of 0 in im 1.991 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.991 * [taylor]: Taking taylor expansion of 1/2 in im 1.991 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.991 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.991 * [taylor]: Taking taylor expansion of im in im 1.996 * [taylor]: Taking taylor expansion of 0 in im 1.998 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 1.998 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.998 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.998 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.998 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.998 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.998 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.998 * [taylor]: Taking taylor expansion of -1 in im 1.998 * [taylor]: Taking taylor expansion of re in im 1.998 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.998 * [taylor]: Taking taylor expansion of -1 in im 1.998 * [taylor]: Taking taylor expansion of re in im 1.998 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.998 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.998 * [taylor]: Taking taylor expansion of -1 in im 1.998 * [taylor]: Taking taylor expansion of im in im 1.998 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.998 * [taylor]: Taking taylor expansion of -1 in im 1.998 * [taylor]: Taking taylor expansion of im in im 2.001 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.001 * [taylor]: Taking taylor expansion of re in im 2.001 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.001 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.001 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.001 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.001 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.001 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.001 * [taylor]: Taking taylor expansion of -1 in re 2.001 * [taylor]: Taking taylor expansion of re in re 2.002 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.002 * [taylor]: Taking taylor expansion of -1 in re 2.002 * [taylor]: Taking taylor expansion of re in re 2.002 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.002 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.002 * [taylor]: Taking taylor expansion of -1 in re 2.002 * [taylor]: Taking taylor expansion of im in re 2.002 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.002 * [taylor]: Taking taylor expansion of -1 in re 2.002 * [taylor]: Taking taylor expansion of im in re 2.005 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.005 * [taylor]: Taking taylor expansion of re in re 2.005 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.005 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.005 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.005 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.005 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.005 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.005 * [taylor]: Taking taylor expansion of -1 in re 2.005 * [taylor]: Taking taylor expansion of re in re 2.005 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.005 * [taylor]: Taking taylor expansion of -1 in re 2.005 * [taylor]: Taking taylor expansion of re in re 2.006 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.006 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.006 * [taylor]: Taking taylor expansion of -1 in re 2.006 * [taylor]: Taking taylor expansion of im in re 2.006 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.006 * [taylor]: Taking taylor expansion of -1 in re 2.006 * [taylor]: Taking taylor expansion of im in re 2.008 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.008 * [taylor]: Taking taylor expansion of re in re 2.009 * [taylor]: Taking taylor expansion of 0 in im 2.010 * [taylor]: Taking taylor expansion of 0 in im 2.013 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.013 * [taylor]: Taking taylor expansion of 1/2 in im 2.013 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.013 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.013 * [taylor]: Taking taylor expansion of im in im 2.018 * [taylor]: Taking taylor expansion of 0 in im 2.020 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 2) 2.020 * [approximate]: Taking taylor expansion of (pow (hypot re im) 1/3) in (re im) around 0 2.020 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in im 2.020 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in im 2.020 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in im 2.020 * [taylor]: Taking taylor expansion of 1/3 in im 2.020 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im 2.020 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.020 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.020 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.020 * [taylor]: Taking taylor expansion of (* re re) in im 2.020 * [taylor]: Taking taylor expansion of re in im 2.020 * [taylor]: Taking taylor expansion of re in im 2.020 * [taylor]: Taking taylor expansion of (* im im) in im 2.020 * [taylor]: Taking taylor expansion of im in im 2.020 * [taylor]: Taking taylor expansion of im in im 2.021 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 2.021 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 2.021 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 2.021 * [taylor]: Taking taylor expansion of 1/3 in re 2.021 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 2.021 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.021 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.021 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.021 * [taylor]: Taking taylor expansion of (* re re) in re 2.021 * [taylor]: Taking taylor expansion of re in re 2.021 * [taylor]: Taking taylor expansion of re in re 2.022 * [taylor]: Taking taylor expansion of (* im im) in re 2.022 * [taylor]: Taking taylor expansion of im in re 2.022 * [taylor]: Taking taylor expansion of im in re 2.023 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 2.023 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 2.023 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 2.023 * [taylor]: Taking taylor expansion of 1/3 in re 2.023 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 2.023 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.023 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.023 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.023 * [taylor]: Taking taylor expansion of (* re re) in re 2.023 * [taylor]: Taking taylor expansion of re in re 2.023 * [taylor]: Taking taylor expansion of re in re 2.023 * [taylor]: Taking taylor expansion of (* im im) in re 2.023 * [taylor]: Taking taylor expansion of im in re 2.023 * [taylor]: Taking taylor expansion of im in re 2.024 * [taylor]: Taking taylor expansion of (pow im 1/3) in im 2.024 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log im))) in im 2.024 * [taylor]: Taking taylor expansion of (* 1/3 (log im)) in im 2.024 * [taylor]: Taking taylor expansion of 1/3 in im 2.024 * [taylor]: Taking taylor expansion of (log im) in im 2.024 * [taylor]: Taking taylor expansion of im in im 2.026 * [taylor]: Taking taylor expansion of 0 in im 2.031 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) in im 2.031 * [taylor]: Taking taylor expansion of 1/6 in im 2.031 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im 2.031 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im 2.031 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im 2.031 * [taylor]: Taking taylor expansion of 1/3 in im 2.031 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 2.031 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 2.031 * [taylor]: Taking taylor expansion of (pow im 5) in im 2.031 * [taylor]: Taking taylor expansion of im in im 2.041 * [taylor]: Taking taylor expansion of 0 in im 2.049 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in (re im) around 0 2.049 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in im 2.049 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in im 2.049 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in im 2.049 * [taylor]: Taking taylor expansion of 1/3 in im 2.049 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im 2.049 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.049 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.049 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.049 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.049 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.049 * [taylor]: Taking taylor expansion of re in im 2.049 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.049 * [taylor]: Taking taylor expansion of re in im 2.049 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.049 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.049 * [taylor]: Taking taylor expansion of im in im 2.049 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.049 * [taylor]: Taking taylor expansion of im in im 2.059 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 2.059 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 2.059 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 2.059 * [taylor]: Taking taylor expansion of 1/3 in re 2.059 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 2.059 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.059 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.059 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.059 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.059 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.059 * [taylor]: Taking taylor expansion of re in re 2.059 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.059 * [taylor]: Taking taylor expansion of re in re 2.060 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.060 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.060 * [taylor]: Taking taylor expansion of im in re 2.060 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.060 * [taylor]: Taking taylor expansion of im in re 2.063 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 2.063 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 2.063 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 2.063 * [taylor]: Taking taylor expansion of 1/3 in re 2.063 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 2.063 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.063 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.063 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.063 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.063 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.063 * [taylor]: Taking taylor expansion of re in re 2.063 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.063 * [taylor]: Taking taylor expansion of re in re 2.064 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.064 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.064 * [taylor]: Taking taylor expansion of im in re 2.064 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.064 * [taylor]: Taking taylor expansion of im in re 2.067 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 2.067 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 2.067 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 2.067 * [taylor]: Taking taylor expansion of -1/3 in im 2.067 * [taylor]: Taking taylor expansion of (log re) in im 2.067 * [taylor]: Taking taylor expansion of re in im 2.069 * [taylor]: Taking taylor expansion of 0 in im 2.075 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 2.075 * [taylor]: Taking taylor expansion of 1/6 in im 2.075 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 2.075 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 2.075 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 2.075 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 2.075 * [taylor]: Taking taylor expansion of 1/3 in im 2.075 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 2.075 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.075 * [taylor]: Taking taylor expansion of re in im 2.075 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.075 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.075 * [taylor]: Taking taylor expansion of im in im 2.092 * [taylor]: Taking taylor expansion of 0 in im 2.092 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in (re im) around 0 2.092 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in im 2.092 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in im 2.092 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in im 2.092 * [taylor]: Taking taylor expansion of 1/3 in im 2.092 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im 2.092 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.092 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.092 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.092 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.092 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.092 * [taylor]: Taking taylor expansion of -1 in im 2.092 * [taylor]: Taking taylor expansion of re in im 2.092 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.092 * [taylor]: Taking taylor expansion of -1 in im 2.092 * [taylor]: Taking taylor expansion of re in im 2.092 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.092 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.092 * [taylor]: Taking taylor expansion of -1 in im 2.092 * [taylor]: Taking taylor expansion of im in im 2.093 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.093 * [taylor]: Taking taylor expansion of -1 in im 2.093 * [taylor]: Taking taylor expansion of im in im 2.096 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 2.096 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 2.096 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 2.096 * [taylor]: Taking taylor expansion of 1/3 in re 2.096 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 2.096 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.096 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.096 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.096 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.096 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.096 * [taylor]: Taking taylor expansion of -1 in re 2.096 * [taylor]: Taking taylor expansion of re in re 2.097 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.097 * [taylor]: Taking taylor expansion of -1 in re 2.097 * [taylor]: Taking taylor expansion of re in re 2.097 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.097 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.097 * [taylor]: Taking taylor expansion of -1 in re 2.097 * [taylor]: Taking taylor expansion of im in re 2.097 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.097 * [taylor]: Taking taylor expansion of -1 in re 2.097 * [taylor]: Taking taylor expansion of im in re 2.100 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 2.100 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 2.100 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 2.100 * [taylor]: Taking taylor expansion of 1/3 in re 2.100 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 2.100 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.100 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.100 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.100 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.100 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.100 * [taylor]: Taking taylor expansion of -1 in re 2.100 * [taylor]: Taking taylor expansion of re in re 2.101 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.101 * [taylor]: Taking taylor expansion of -1 in re 2.101 * [taylor]: Taking taylor expansion of re in re 2.101 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.101 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.101 * [taylor]: Taking taylor expansion of -1 in re 2.101 * [taylor]: Taking taylor expansion of im in re 2.101 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.101 * [taylor]: Taking taylor expansion of -1 in re 2.101 * [taylor]: Taking taylor expansion of im in re 2.104 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 2.104 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 2.104 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 2.104 * [taylor]: Taking taylor expansion of -1/3 in im 2.104 * [taylor]: Taking taylor expansion of (log re) in im 2.104 * [taylor]: Taking taylor expansion of re in im 2.106 * [taylor]: Taking taylor expansion of 0 in im 2.113 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 2.113 * [taylor]: Taking taylor expansion of 1/6 in im 2.113 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 2.113 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 2.113 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 2.113 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 2.113 * [taylor]: Taking taylor expansion of 1/3 in im 2.113 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 2.113 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.113 * [taylor]: Taking taylor expansion of re in im 2.113 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.113 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.113 * [taylor]: Taking taylor expansion of im in im 2.129 * [taylor]: Taking taylor expansion of 0 in im 2.129 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 2) 2.129 * [approximate]: Taking taylor expansion of (pow (hypot re im) 1/3) in (re im) around 0 2.129 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in im 2.129 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in im 2.129 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in im 2.129 * [taylor]: Taking taylor expansion of 1/3 in im 2.129 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im 2.129 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.129 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.129 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.129 * [taylor]: Taking taylor expansion of (* re re) in im 2.129 * [taylor]: Taking taylor expansion of re in im 2.129 * [taylor]: Taking taylor expansion of re in im 2.129 * [taylor]: Taking taylor expansion of (* im im) in im 2.129 * [taylor]: Taking taylor expansion of im in im 2.129 * [taylor]: Taking taylor expansion of im in im 2.130 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 2.130 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 2.130 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 2.130 * [taylor]: Taking taylor expansion of 1/3 in re 2.130 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 2.130 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.131 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.131 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.131 * [taylor]: Taking taylor expansion of (* re re) in re 2.131 * [taylor]: Taking taylor expansion of re in re 2.131 * [taylor]: Taking taylor expansion of re in re 2.131 * [taylor]: Taking taylor expansion of (* im im) in re 2.131 * [taylor]: Taking taylor expansion of im in re 2.131 * [taylor]: Taking taylor expansion of im in re 2.132 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 2.132 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 2.132 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 2.132 * [taylor]: Taking taylor expansion of 1/3 in re 2.132 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 2.132 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.132 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.132 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.132 * [taylor]: Taking taylor expansion of (* re re) in re 2.132 * [taylor]: Taking taylor expansion of re in re 2.132 * [taylor]: Taking taylor expansion of re in re 2.132 * [taylor]: Taking taylor expansion of (* im im) in re 2.132 * [taylor]: Taking taylor expansion of im in re 2.132 * [taylor]: Taking taylor expansion of im in re 2.133 * [taylor]: Taking taylor expansion of (pow im 1/3) in im 2.133 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log im))) in im 2.133 * [taylor]: Taking taylor expansion of (* 1/3 (log im)) in im 2.133 * [taylor]: Taking taylor expansion of 1/3 in im 2.133 * [taylor]: Taking taylor expansion of (log im) in im 2.133 * [taylor]: Taking taylor expansion of im in im 2.135 * [taylor]: Taking taylor expansion of 0 in im 2.140 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) in im 2.140 * [taylor]: Taking taylor expansion of 1/6 in im 2.140 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im 2.140 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im 2.140 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im 2.140 * [taylor]: Taking taylor expansion of 1/3 in im 2.140 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 2.140 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 2.140 * [taylor]: Taking taylor expansion of (pow im 5) in im 2.140 * [taylor]: Taking taylor expansion of im in im 2.155 * [taylor]: Taking taylor expansion of 0 in im 2.164 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in (re im) around 0 2.164 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in im 2.164 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in im 2.164 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in im 2.164 * [taylor]: Taking taylor expansion of 1/3 in im 2.164 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im 2.164 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.164 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.164 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.164 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.164 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.164 * [taylor]: Taking taylor expansion of re in im 2.164 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.164 * [taylor]: Taking taylor expansion of re in im 2.164 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.164 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.164 * [taylor]: Taking taylor expansion of im in im 2.164 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.164 * [taylor]: Taking taylor expansion of im in im 2.168 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 2.168 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 2.168 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 2.168 * [taylor]: Taking taylor expansion of 1/3 in re 2.168 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 2.168 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.168 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.168 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.168 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.168 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.168 * [taylor]: Taking taylor expansion of re in re 2.168 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.168 * [taylor]: Taking taylor expansion of re in re 2.168 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.168 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.168 * [taylor]: Taking taylor expansion of im in re 2.168 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.169 * [taylor]: Taking taylor expansion of im in re 2.171 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 2.172 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 2.172 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 2.172 * [taylor]: Taking taylor expansion of 1/3 in re 2.172 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 2.172 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.172 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.172 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.172 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.172 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.172 * [taylor]: Taking taylor expansion of re in re 2.172 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.172 * [taylor]: Taking taylor expansion of re in re 2.172 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.172 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.172 * [taylor]: Taking taylor expansion of im in re 2.172 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.172 * [taylor]: Taking taylor expansion of im in re 2.175 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 2.175 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 2.175 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 2.175 * [taylor]: Taking taylor expansion of -1/3 in im 2.175 * [taylor]: Taking taylor expansion of (log re) in im 2.175 * [taylor]: Taking taylor expansion of re in im 2.177 * [taylor]: Taking taylor expansion of 0 in im 2.183 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 2.183 * [taylor]: Taking taylor expansion of 1/6 in im 2.183 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 2.183 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 2.183 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 2.183 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 2.183 * [taylor]: Taking taylor expansion of 1/3 in im 2.183 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 2.183 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.183 * [taylor]: Taking taylor expansion of re in im 2.184 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.184 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.184 * [taylor]: Taking taylor expansion of im in im 2.200 * [taylor]: Taking taylor expansion of 0 in im 2.200 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in (re im) around 0 2.200 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in im 2.200 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in im 2.200 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in im 2.200 * [taylor]: Taking taylor expansion of 1/3 in im 2.200 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im 2.200 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.200 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.200 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.200 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.200 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.200 * [taylor]: Taking taylor expansion of -1 in im 2.200 * [taylor]: Taking taylor expansion of re in im 2.200 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.200 * [taylor]: Taking taylor expansion of -1 in im 2.201 * [taylor]: Taking taylor expansion of re in im 2.201 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.201 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.201 * [taylor]: Taking taylor expansion of -1 in im 2.201 * [taylor]: Taking taylor expansion of im in im 2.201 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.201 * [taylor]: Taking taylor expansion of -1 in im 2.201 * [taylor]: Taking taylor expansion of im in im 2.204 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 2.204 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 2.204 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 2.204 * [taylor]: Taking taylor expansion of 1/3 in re 2.204 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 2.204 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.204 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.204 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.204 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.204 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.204 * [taylor]: Taking taylor expansion of -1 in re 2.205 * [taylor]: Taking taylor expansion of re in re 2.205 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.205 * [taylor]: Taking taylor expansion of -1 in re 2.205 * [taylor]: Taking taylor expansion of re in re 2.205 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.205 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.205 * [taylor]: Taking taylor expansion of -1 in re 2.205 * [taylor]: Taking taylor expansion of im in re 2.205 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.205 * [taylor]: Taking taylor expansion of -1 in re 2.205 * [taylor]: Taking taylor expansion of im in re 2.208 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 2.208 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 2.208 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 2.208 * [taylor]: Taking taylor expansion of 1/3 in re 2.208 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 2.208 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.209 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.209 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.209 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.209 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.209 * [taylor]: Taking taylor expansion of -1 in re 2.209 * [taylor]: Taking taylor expansion of re in re 2.209 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.209 * [taylor]: Taking taylor expansion of -1 in re 2.209 * [taylor]: Taking taylor expansion of re in re 2.209 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.209 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.209 * [taylor]: Taking taylor expansion of -1 in re 2.209 * [taylor]: Taking taylor expansion of im in re 2.209 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.209 * [taylor]: Taking taylor expansion of -1 in re 2.209 * [taylor]: Taking taylor expansion of im in re 2.212 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 2.212 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 2.213 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 2.213 * [taylor]: Taking taylor expansion of -1/3 in im 2.213 * [taylor]: Taking taylor expansion of (log re) in im 2.213 * [taylor]: Taking taylor expansion of re in im 2.214 * [taylor]: Taking taylor expansion of 0 in im 2.220 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 2.220 * [taylor]: Taking taylor expansion of 1/6 in im 2.220 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 2.220 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 2.220 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 2.221 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 2.221 * [taylor]: Taking taylor expansion of 1/3 in im 2.221 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 2.221 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.221 * [taylor]: Taking taylor expansion of re in im 2.221 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.221 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.221 * [taylor]: Taking taylor expansion of im in im 2.244 * [taylor]: Taking taylor expansion of 0 in im 2.244 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1 1) 2.244 * [approximate]: Taking taylor expansion of (pow (hypot re im) 1/3) in (re im) around 0 2.244 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in im 2.244 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in im 2.244 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in im 2.244 * [taylor]: Taking taylor expansion of 1/3 in im 2.244 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im 2.244 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.244 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.245 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.245 * [taylor]: Taking taylor expansion of (* re re) in im 2.245 * [taylor]: Taking taylor expansion of re in im 2.245 * [taylor]: Taking taylor expansion of re in im 2.245 * [taylor]: Taking taylor expansion of (* im im) in im 2.245 * [taylor]: Taking taylor expansion of im in im 2.245 * [taylor]: Taking taylor expansion of im in im 2.246 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 2.246 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 2.246 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 2.246 * [taylor]: Taking taylor expansion of 1/3 in re 2.246 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 2.246 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.246 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.246 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.246 * [taylor]: Taking taylor expansion of (* re re) in re 2.246 * [taylor]: Taking taylor expansion of re in re 2.246 * [taylor]: Taking taylor expansion of re in re 2.246 * [taylor]: Taking taylor expansion of (* im im) in re 2.246 * [taylor]: Taking taylor expansion of im in re 2.246 * [taylor]: Taking taylor expansion of im in re 2.247 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 2.247 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 2.247 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 2.247 * [taylor]: Taking taylor expansion of 1/3 in re 2.247 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 2.247 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.247 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.247 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.247 * [taylor]: Taking taylor expansion of (* re re) in re 2.247 * [taylor]: Taking taylor expansion of re in re 2.247 * [taylor]: Taking taylor expansion of re in re 2.247 * [taylor]: Taking taylor expansion of (* im im) in re 2.247 * [taylor]: Taking taylor expansion of im in re 2.248 * [taylor]: Taking taylor expansion of im in re 2.249 * [taylor]: Taking taylor expansion of (pow im 1/3) in im 2.249 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log im))) in im 2.249 * [taylor]: Taking taylor expansion of (* 1/3 (log im)) in im 2.249 * [taylor]: Taking taylor expansion of 1/3 in im 2.249 * [taylor]: Taking taylor expansion of (log im) in im 2.249 * [taylor]: Taking taylor expansion of im in im 2.251 * [taylor]: Taking taylor expansion of 0 in im 2.255 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) in im 2.255 * [taylor]: Taking taylor expansion of 1/6 in im 2.255 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im 2.255 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im 2.255 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im 2.255 * [taylor]: Taking taylor expansion of 1/3 in im 2.256 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 2.256 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 2.256 * [taylor]: Taking taylor expansion of (pow im 5) in im 2.256 * [taylor]: Taking taylor expansion of im in im 2.265 * [taylor]: Taking taylor expansion of 0 in im 2.273 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in (re im) around 0 2.273 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in im 2.274 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in im 2.274 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in im 2.274 * [taylor]: Taking taylor expansion of 1/3 in im 2.274 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im 2.274 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.274 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.274 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.274 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.274 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.274 * [taylor]: Taking taylor expansion of re in im 2.274 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.274 * [taylor]: Taking taylor expansion of re in im 2.274 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.274 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.274 * [taylor]: Taking taylor expansion of im in im 2.274 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.274 * [taylor]: Taking taylor expansion of im in im 2.278 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 2.278 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 2.278 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 2.278 * [taylor]: Taking taylor expansion of 1/3 in re 2.278 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 2.278 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.278 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.278 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.278 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.278 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.278 * [taylor]: Taking taylor expansion of re in re 2.278 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.278 * [taylor]: Taking taylor expansion of re in re 2.279 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.279 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.279 * [taylor]: Taking taylor expansion of im in re 2.279 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.279 * [taylor]: Taking taylor expansion of im in re 2.282 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 2.282 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 2.282 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 2.282 * [taylor]: Taking taylor expansion of 1/3 in re 2.282 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 2.282 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.282 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.282 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.282 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.282 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.282 * [taylor]: Taking taylor expansion of re in re 2.282 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.282 * [taylor]: Taking taylor expansion of re in re 2.283 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.283 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.283 * [taylor]: Taking taylor expansion of im in re 2.283 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.283 * [taylor]: Taking taylor expansion of im in re 2.286 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 2.286 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 2.286 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 2.286 * [taylor]: Taking taylor expansion of -1/3 in im 2.286 * [taylor]: Taking taylor expansion of (log re) in im 2.286 * [taylor]: Taking taylor expansion of re in im 2.288 * [taylor]: Taking taylor expansion of 0 in im 2.294 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 2.294 * [taylor]: Taking taylor expansion of 1/6 in im 2.294 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 2.294 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 2.294 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 2.294 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 2.294 * [taylor]: Taking taylor expansion of 1/3 in im 2.294 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 2.294 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.294 * [taylor]: Taking taylor expansion of re in im 2.294 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.294 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.294 * [taylor]: Taking taylor expansion of im in im 2.310 * [taylor]: Taking taylor expansion of 0 in im 2.310 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in (re im) around 0 2.310 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in im 2.310 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in im 2.310 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in im 2.310 * [taylor]: Taking taylor expansion of 1/3 in im 2.310 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im 2.310 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.310 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.310 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.310 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.310 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.311 * [taylor]: Taking taylor expansion of -1 in im 2.311 * [taylor]: Taking taylor expansion of re in im 2.311 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.311 * [taylor]: Taking taylor expansion of -1 in im 2.311 * [taylor]: Taking taylor expansion of re in im 2.311 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.311 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.311 * [taylor]: Taking taylor expansion of -1 in im 2.311 * [taylor]: Taking taylor expansion of im in im 2.311 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.311 * [taylor]: Taking taylor expansion of -1 in im 2.311 * [taylor]: Taking taylor expansion of im in im 2.315 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 2.315 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 2.315 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 2.315 * [taylor]: Taking taylor expansion of 1/3 in re 2.315 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 2.315 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.315 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.315 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.315 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.315 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.315 * [taylor]: Taking taylor expansion of -1 in re 2.315 * [taylor]: Taking taylor expansion of re in re 2.315 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.315 * [taylor]: Taking taylor expansion of -1 in re 2.315 * [taylor]: Taking taylor expansion of re in re 2.316 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.316 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.316 * [taylor]: Taking taylor expansion of -1 in re 2.316 * [taylor]: Taking taylor expansion of im in re 2.316 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.316 * [taylor]: Taking taylor expansion of -1 in re 2.316 * [taylor]: Taking taylor expansion of im in re 2.319 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 2.319 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 2.319 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 2.319 * [taylor]: Taking taylor expansion of 1/3 in re 2.319 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 2.319 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.319 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.319 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.319 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.319 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.319 * [taylor]: Taking taylor expansion of -1 in re 2.319 * [taylor]: Taking taylor expansion of re in re 2.319 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.319 * [taylor]: Taking taylor expansion of -1 in re 2.319 * [taylor]: Taking taylor expansion of re in re 2.320 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.320 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.320 * [taylor]: Taking taylor expansion of -1 in re 2.320 * [taylor]: Taking taylor expansion of im in re 2.320 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.320 * [taylor]: Taking taylor expansion of -1 in re 2.320 * [taylor]: Taking taylor expansion of im in re 2.329 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 2.329 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 2.329 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 2.329 * [taylor]: Taking taylor expansion of -1/3 in im 2.329 * [taylor]: Taking taylor expansion of (log re) in im 2.329 * [taylor]: Taking taylor expansion of re in im 2.331 * [taylor]: Taking taylor expansion of 0 in im 2.337 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 2.337 * [taylor]: Taking taylor expansion of 1/6 in im 2.337 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 2.337 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 2.338 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 2.338 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 2.338 * [taylor]: Taking taylor expansion of 1/3 in im 2.338 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 2.338 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.338 * [taylor]: Taking taylor expansion of re in im 2.338 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.338 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.338 * [taylor]: Taking taylor expansion of im in im 2.358 * [taylor]: Taking taylor expansion of 0 in im 2.358 * * * [progress]: simplifying candidates 2.359 * [simplify]: Simplifying using # : (expm1 (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)) (log1p (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)) (* (exp (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (exp re)) (log (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)) (exp (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)) (* (cbrt (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)) (cbrt (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re))) (cbrt (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)) (* (* (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)) (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)) (sqrt (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)) (sqrt (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)) (+ (pow (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) 3) (pow re 3)) (+ (* (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (- (* re re) (* (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re))) (- (* (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (* re re)) (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (expm1 (cbrt (hypot re im))) (log1p (cbrt (hypot re im))) (log (cbrt (hypot re im))) (exp (cbrt (hypot re im))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt 1) (cbrt (hypot re im)) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (expm1 (cbrt (hypot re im))) (log1p (cbrt (hypot re im))) (log (cbrt (hypot re im))) (exp (cbrt (hypot re im))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt 1) (cbrt (hypot re im)) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (expm1 (cbrt (hypot re im))) (log1p (cbrt (hypot re im))) (log (cbrt (hypot re im))) (exp (cbrt (hypot re im))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt 1) (cbrt (hypot re im)) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (+ re im) (* 2 re) 0 (+ (pow im 1/3) (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3)))) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) (+ (pow im 1/3) (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3)))) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) (+ (pow im 1/3) (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3)))) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) 2.364 * * [simplify]: iteration 0 : 146 enodes (cost 395 ) 2.367 * * [simplify]: iteration 1 : 420 enodes (cost 316 ) 2.375 * * [simplify]: iteration 2 : 1490 enodes (cost 274 ) 2.407 * * [simplify]: iteration 3 : 5002 enodes (cost 272 ) 2.409 * [simplify]: Simplified to: (expm1 (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)) (log1p (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)) (exp (+ re (hypot re im))) (log (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)) (exp (+ re (hypot re im))) (* (cbrt (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)) (cbrt (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re))) (cbrt (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)) (pow (+ (hypot re im) re) 3) (hypot (pow (cbrt (hypot re im)) 3/2) (pow re 1/2)) (hypot (pow (cbrt (hypot re im)) 3/2) (pow re 1/2)) (fma (pow re 2) re (pow (hypot re im) 3)) (fma (hypot re im) (- (hypot re im) re) (pow re 2)) (* (+ (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re) (expm1 (cbrt (hypot re im))) (log1p (cbrt (hypot re im))) (log (cbrt (hypot re im))) (exp (cbrt (hypot re im))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt 1) (cbrt (hypot re im)) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (hypot re im) (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (expm1 (cbrt (hypot re im))) (log1p (cbrt (hypot re im))) (log (cbrt (hypot re im))) (exp (cbrt (hypot re im))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt 1) (cbrt (hypot re im)) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (hypot re im) (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (expm1 (cbrt (hypot re im))) (log1p (cbrt (hypot re im))) (log (cbrt (hypot re im))) (exp (cbrt (hypot re im))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt 1) (cbrt (hypot re im)) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (hypot re im) (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (+ re im) (* 2 re) 0 (fma (* 1/6 (pow re 2)) (pow (/ 1 (pow im 5)) 1/3) (pow im 1/3)) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) (fma (* 1/6 (pow re 2)) (pow (/ 1 (pow im 5)) 1/3) (pow im 1/3)) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) (fma (* 1/6 (pow re 2)) (pow (/ 1 (pow im 5)) 1/3) (pow im 1/3)) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) 2.409 * * * [progress]: adding candidates to table 2.598 * [progress]: [Phase 3 of 3] Extracting. 2.598 * * [regime]: Finding splitpoints for: (# # # # # # #) 2.599 * * * [regime-changes]: Trying 2 branch expressions: (im re) 2.600 * * * * [regimes]: Trying to branch on im from (# # # # # # #) 2.626 * * * * [regimes]: Trying to branch on re from (# # # # # # #) 2.663 * * * [regime]: Found split indices: #