2.773 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.031 * * * [progress]: [2/2] Setting up program. 0.034 * [progress]: [Phase 2 of 3] Improving. 0.034 * [simplify]: Simplifying using # : (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.036 * * [simplify]: iteration 0 : 17 enodes (cost 8 ) 0.037 * * [simplify]: iteration 1 : 24 enodes (cost 8 ) 0.038 * * [simplify]: iteration 2 : 30 enodes (cost 8 ) 0.040 * * [simplify]: iteration 3 : 35 enodes (cost 8 ) 0.041 * * [simplify]: iteration 4 : 35 enodes (cost 8 ) 0.041 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.042 * * [progress]: iteration 1 / 4 0.042 * * * [progress]: picking best candidate 0.044 * * * * [pick]: Picked # 0.044 * * * [progress]: localizing error 0.057 * * * [progress]: generating rewritten candidates 0.057 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1) 0.060 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.068 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.076 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1) 0.081 * * * [progress]: generating series expansions 0.081 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 0.081 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.081 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.081 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.081 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.081 * [taylor]: Taking taylor expansion of re in im 0.081 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.081 * [taylor]: Taking taylor expansion of im in im 0.082 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.082 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.082 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.082 * [taylor]: Taking taylor expansion of re in re 0.082 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.082 * [taylor]: Taking taylor expansion of im in re 0.083 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.083 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.083 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.083 * [taylor]: Taking taylor expansion of re in re 0.083 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.083 * [taylor]: Taking taylor expansion of im in re 0.083 * [taylor]: Taking taylor expansion of im in im 0.084 * [taylor]: Taking taylor expansion of 0 in im 0.085 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.085 * [taylor]: Taking taylor expansion of 1/2 in im 0.085 * [taylor]: Taking taylor expansion of im in im 0.087 * [taylor]: Taking taylor expansion of 0 in im 0.088 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.088 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.088 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.088 * [taylor]: Taking taylor expansion of im in im 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.089 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.089 * [taylor]: Taking taylor expansion of re in im 0.091 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.091 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.091 * [taylor]: Taking taylor expansion of im in re 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.091 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.091 * [taylor]: Taking taylor expansion of re in re 0.093 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.093 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.093 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.093 * [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 1 in im 0.096 * [taylor]: Taking taylor expansion of 0 in im 0.098 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.098 * [taylor]: Taking taylor expansion of 1/2 in im 0.098 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.098 * [taylor]: Taking taylor expansion of im in im 0.101 * [taylor]: Taking taylor expansion of 0 in im 0.103 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.103 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.103 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.103 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.103 * [taylor]: Taking taylor expansion of im in im 0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.103 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.103 * [taylor]: Taking taylor expansion of re in im 0.105 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.105 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.105 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.105 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.105 * [taylor]: Taking taylor expansion of im in re 0.106 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.106 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.106 * [taylor]: Taking taylor expansion of re in re 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 1 in im 0.111 * [taylor]: Taking taylor expansion of 0 in im 0.113 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.113 * [taylor]: Taking taylor expansion of 1/2 in im 0.113 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.113 * [taylor]: Taking taylor expansion of im in im 0.116 * [taylor]: Taking taylor expansion of 0 in im 0.117 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.117 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 0.117 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.117 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.117 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.117 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.117 * [taylor]: Taking taylor expansion of re in im 0.117 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.118 * [taylor]: Taking taylor expansion of im in im 0.118 * [taylor]: Taking taylor expansion of re in im 0.118 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.118 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.118 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.118 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.118 * [taylor]: Taking taylor expansion of re in re 0.118 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.118 * [taylor]: Taking taylor expansion of im in re 0.119 * [taylor]: Taking taylor expansion of re in re 0.119 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.119 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.119 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.119 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.119 * [taylor]: Taking taylor expansion of re in re 0.119 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.119 * [taylor]: Taking taylor expansion of im in re 0.119 * [taylor]: Taking taylor expansion of re in re 0.120 * [taylor]: Taking taylor expansion of im in im 0.120 * [taylor]: Taking taylor expansion of -1 in im 0.122 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.122 * [taylor]: Taking taylor expansion of 1/2 in im 0.122 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.122 * [taylor]: Taking taylor expansion of im in im 0.124 * [taylor]: Taking taylor expansion of 0 in im 0.126 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.126 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.126 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.126 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.126 * [taylor]: Taking taylor expansion of im in im 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.126 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.126 * [taylor]: Taking taylor expansion of re in im 0.128 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.128 * [taylor]: Taking taylor expansion of re in im 0.129 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.129 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.129 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.129 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.129 * [taylor]: Taking taylor expansion of im in re 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.129 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.129 * [taylor]: Taking taylor expansion of re in re 0.131 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.131 * [taylor]: Taking taylor expansion of re in re 0.131 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.131 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.132 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.132 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.132 * [taylor]: Taking taylor expansion of im in re 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.132 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.132 * [taylor]: Taking taylor expansion of re in re 0.134 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.134 * [taylor]: Taking taylor expansion of re in re 0.135 * [taylor]: Taking taylor expansion of 0 in im 0.136 * [taylor]: Taking taylor expansion of 0 in im 0.142 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.142 * [taylor]: Taking taylor expansion of 1/2 in im 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.142 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.142 * [taylor]: Taking taylor expansion of im in im 0.146 * [taylor]: Taking taylor expansion of 0 in im 0.148 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.148 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.148 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.148 * [taylor]: Taking taylor expansion of re in im 0.148 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.148 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.148 * [taylor]: Taking taylor expansion of im in im 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.149 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.149 * [taylor]: Taking taylor expansion of re in im 0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.151 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.151 * [taylor]: Taking taylor expansion of re in re 0.151 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.151 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.151 * [taylor]: Taking taylor expansion of im in re 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.151 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.151 * [taylor]: Taking taylor expansion of re in re 0.154 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.154 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.154 * [taylor]: Taking taylor expansion of 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 0.157 * [taylor]: Taking taylor expansion of 2 in im 0.158 * [taylor]: Taking taylor expansion of 0 in im 0.160 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.160 * [taylor]: Taking taylor expansion of 1/2 in im 0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.160 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.160 * [taylor]: Taking taylor expansion of im in im 0.165 * [taylor]: Taking taylor expansion of 0 in im 0.166 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.167 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in (re im) around 0 0.167 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im 0.167 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.167 * [taylor]: Taking taylor expansion of 2.0 in im 0.167 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 0.167 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.167 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.167 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.167 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.167 * [taylor]: Taking taylor expansion of re in im 0.167 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.168 * [taylor]: Taking taylor expansion of im in im 0.168 * [taylor]: Taking taylor expansion of re in im 0.172 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) 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 0.172 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.172 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.172 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.172 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.172 * [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 0.173 * [taylor]: Taking taylor expansion of re in re 0.174 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) 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 0.175 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.175 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.175 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.175 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.175 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.175 * [taylor]: Taking taylor expansion of re in re 0.175 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.175 * [taylor]: Taking taylor expansion of im in re 0.175 * [taylor]: Taking taylor expansion of re 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 0.177 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.177 * [taylor]: Taking taylor expansion of im in im 0.181 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 0.181 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.181 * [taylor]: Taking taylor expansion of 1/2 in im 0.181 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.181 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.181 * [taylor]: Taking taylor expansion of 2.0 in im 0.182 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.182 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.182 * [taylor]: Taking taylor expansion of im in im 0.202 * [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 0.202 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.202 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.202 * [taylor]: Taking taylor expansion of 2.0 in im 0.203 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.203 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.203 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.203 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.203 * [taylor]: Taking taylor expansion of im in im 0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.203 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.203 * [taylor]: Taking taylor expansion of re in im 0.206 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.206 * [taylor]: Taking taylor expansion of re in im 0.207 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.207 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.207 * [taylor]: Taking taylor expansion of 2.0 in re 0.208 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.208 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.208 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.208 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.208 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.208 * [taylor]: Taking taylor expansion of im in re 0.208 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.208 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.208 * [taylor]: Taking taylor expansion of re in re 0.210 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.210 * [taylor]: Taking taylor expansion of re in re 0.215 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) 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 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.216 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 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 0.219 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.219 * [taylor]: Taking taylor expansion of re in re 0.226 * [taylor]: Taking taylor expansion of 0 in im 0.227 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.227 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.227 * [taylor]: Taking taylor expansion of +nan.0 in im 0.227 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.227 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.227 * [taylor]: Taking taylor expansion of 2.0 in im 0.228 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.228 * [taylor]: Taking taylor expansion of im in im 0.235 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.235 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.235 * [taylor]: Taking taylor expansion of +nan.0 in im 0.235 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.235 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.235 * [taylor]: Taking taylor expansion of 2.0 in im 0.236 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.236 * [taylor]: Taking taylor expansion of im in im 0.252 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.252 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.252 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.252 * [taylor]: Taking taylor expansion of +nan.0 in im 0.252 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.252 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.252 * [taylor]: Taking taylor expansion of 2.0 in im 0.252 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.252 * [taylor]: Taking taylor expansion of im in im 0.253 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.254 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.254 * [taylor]: Taking taylor expansion of +nan.0 in im 0.254 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.254 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.254 * [taylor]: Taking taylor expansion of 2.0 in im 0.254 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.254 * [taylor]: Taking taylor expansion of im in im 0.277 * [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 0.278 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.278 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.278 * [taylor]: Taking taylor expansion of 2.0 in im 0.278 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.278 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.278 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.278 * [taylor]: Taking taylor expansion of re in im 0.278 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.278 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.278 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.278 * [taylor]: Taking taylor expansion of im in im 0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.279 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.279 * [taylor]: Taking taylor expansion of re in im 0.282 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.282 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.282 * [taylor]: Taking taylor expansion of 2.0 in re 0.283 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.283 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.283 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.283 * [taylor]: Taking taylor expansion of re in re 0.283 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.283 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.283 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.283 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.283 * [taylor]: Taking taylor expansion of im in re 0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.284 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.284 * [taylor]: Taking taylor expansion of re in re 0.287 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.287 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.287 * [taylor]: Taking taylor expansion of 2.0 in re 0.288 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.288 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.288 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.288 * [taylor]: Taking taylor expansion of re in re 0.288 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.288 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.288 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.288 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.288 * [taylor]: Taking taylor expansion of im in re 0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.289 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.289 * [taylor]: Taking taylor expansion of re in re 0.293 * [taylor]: Taking taylor expansion of 0 in im 0.294 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.294 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.294 * [taylor]: Taking taylor expansion of +nan.0 in im 0.294 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.294 * [taylor]: Taking taylor expansion of 2.0 in im 0.299 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.299 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.299 * [taylor]: Taking taylor expansion of +nan.0 in im 0.299 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.299 * [taylor]: Taking taylor expansion of 2.0 in im 0.310 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.310 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.310 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.310 * [taylor]: Taking taylor expansion of +nan.0 in im 0.310 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.310 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.310 * [taylor]: Taking taylor expansion of 2.0 in im 0.311 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.311 * [taylor]: Taking taylor expansion of im in im 0.311 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.311 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.311 * [taylor]: Taking taylor expansion of +nan.0 in im 0.311 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.311 * [taylor]: Taking taylor expansion of 2.0 in im 0.322 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.323 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.323 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.323 * [taylor]: Taking taylor expansion of +nan.0 in im 0.323 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.323 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.323 * [taylor]: Taking taylor expansion of 2.0 in im 0.323 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.323 * [taylor]: Taking taylor expansion of im in im 0.324 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.324 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.324 * [taylor]: Taking taylor expansion of +nan.0 in im 0.324 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.324 * [taylor]: Taking taylor expansion of 2.0 in im 0.337 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1) 0.337 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.337 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.337 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.337 * [taylor]: Taking taylor expansion of re in im 0.337 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.337 * [taylor]: Taking taylor expansion of im in im 0.337 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.337 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.337 * [taylor]: Taking taylor expansion of re in re 0.337 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.337 * [taylor]: Taking taylor expansion of im in re 0.337 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.337 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.337 * [taylor]: Taking taylor expansion of re in re 0.337 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.337 * [taylor]: Taking taylor expansion of im in re 0.338 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.338 * [taylor]: Taking taylor expansion of im in im 0.338 * [taylor]: Taking taylor expansion of 0 in im 0.339 * [taylor]: Taking taylor expansion of 1 in im 0.340 * [taylor]: Taking taylor expansion of 0 in im 0.342 * [taylor]: Taking taylor expansion of 0 in im 0.342 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.342 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.342 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.342 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.342 * [taylor]: Taking taylor expansion of im in im 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.343 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.343 * [taylor]: Taking taylor expansion of re in im 0.343 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.343 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.343 * [taylor]: Taking taylor expansion of im in re 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.343 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.343 * [taylor]: Taking taylor expansion of re in re 0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) 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 (/ 1 (pow re 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 0.345 * [taylor]: Taking taylor expansion of 1 in im 0.346 * [taylor]: Taking taylor expansion of 0 in im 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.347 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.347 * [taylor]: Taking taylor expansion of im in im 0.349 * [taylor]: Taking taylor expansion of 0 in im 0.351 * [taylor]: Taking taylor expansion of 0 in im 0.353 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.353 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 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 0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.353 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.353 * [taylor]: Taking taylor expansion of re in im 0.353 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.353 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.354 * [taylor]: Taking taylor expansion of im in re 0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.354 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.354 * [taylor]: Taking taylor expansion of re in re 0.354 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.354 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.354 * [taylor]: Taking taylor expansion of im in re 0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.354 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.354 * [taylor]: Taking taylor expansion of re in re 0.355 * [taylor]: Taking taylor expansion of 1 in im 0.356 * [taylor]: Taking taylor expansion of 0 in im 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.357 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.357 * [taylor]: Taking taylor expansion of im in im 0.359 * [taylor]: Taking taylor expansion of 0 in im 0.362 * [taylor]: Taking taylor expansion of 0 in im 0.363 * * * [progress]: simplifying candidates 0.364 * [simplify]: Simplifying using # : (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)))) (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- re) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (- re) (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)))) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) im re (* -1 re) (- im re) 0 (* -2 re) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) (* im re)))))))) 0 (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 0.369 * * [simplify]: iteration 0 : 258 enodes (cost 459 ) 0.374 * * [simplify]: iteration 1 : 938 enodes (cost 422 ) 0.389 * * [simplify]: iteration 2 : 3098 enodes (cost 412 ) 0.451 * * [simplify]: iteration 3 : 5001 enodes (cost 410 ) 0.455 * [simplify]: Simplified to: (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 (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (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)))) (exp (- (sqrt (+ (* re re) (* im im))) 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)) (pow (- (sqrt (+ (* re re) (* im im))) re) 3) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (pow im 2) (* re (+ re (+ (sqrt (+ (* re re) (* im im))) re)))) (* -1 re) (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (* -1 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)))) (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 (+ (* re re) (* im im)) 3) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (- (pow im 4) (- (* (* re re) (* im im)) (pow re 4))) (+ (* (- (pow im 3)) im) (pow re 4)) (- (* re re) (* im im)) im re (* -1 re) (- im re) 0 (* -2 re) (* (* +nan.0 (sqrt 2.0)) (+ (- (pow im 2)) (- im (* im re)))) 0 (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) (+ (* re re) (* im im)) (+ (* re re) (* im im)) (+ (* re re) (* im im)) 0.455 * * * [progress]: adding candidates to table 0.610 * * [progress]: iteration 2 / 4 0.610 * * * [progress]: picking best candidate 0.621 * * * * [pick]: Picked # 0.622 * * * [progress]: localizing error 0.635 * * * [progress]: generating rewritten candidates 0.636 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1) 0.639 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 2 1) 0.643 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1 1) 0.647 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 0.669 * * * [progress]: generating series expansions 0.669 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1) 0.669 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.669 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.669 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.669 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.669 * [taylor]: Taking taylor expansion of re in im 0.669 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.669 * [taylor]: Taking taylor expansion of im in im 0.670 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.670 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.670 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.670 * [taylor]: Taking taylor expansion of re in re 0.670 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.670 * [taylor]: Taking taylor expansion of im in re 0.670 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.670 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.670 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.670 * [taylor]: Taking taylor expansion of re in re 0.671 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.671 * [taylor]: Taking taylor expansion of im in re 0.671 * [taylor]: Taking taylor expansion of im in im 0.671 * [taylor]: Taking taylor expansion of 0 in im 0.672 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.672 * [taylor]: Taking taylor expansion of 1/2 in im 0.672 * [taylor]: Taking taylor expansion of im in im 0.674 * [taylor]: Taking taylor expansion of 0 in im 0.675 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.675 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.675 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.675 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.675 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.675 * [taylor]: Taking taylor expansion of im in im 0.676 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.676 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.676 * [taylor]: Taking taylor expansion of re in im 0.678 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.678 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.678 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.678 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.678 * [taylor]: Taking taylor expansion of im in re 0.678 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.678 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.678 * [taylor]: Taking taylor expansion of re in re 0.683 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.683 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.683 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.683 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.683 * [taylor]: Taking taylor expansion of im in re 0.683 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.683 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.683 * [taylor]: Taking taylor expansion of re in re 0.686 * [taylor]: Taking taylor expansion of 1 in im 0.686 * [taylor]: Taking taylor expansion of 0 in im 0.688 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.688 * [taylor]: Taking taylor expansion of 1/2 in im 0.688 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.688 * [taylor]: Taking taylor expansion of im in im 0.691 * [taylor]: Taking taylor expansion of 0 in im 0.692 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.692 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.692 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.692 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.692 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.692 * [taylor]: Taking taylor expansion of im in im 0.693 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.693 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.693 * [taylor]: Taking taylor expansion of re in im 0.695 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.695 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.695 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.695 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.695 * [taylor]: Taking taylor expansion of im in re 0.695 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.695 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.695 * [taylor]: Taking taylor expansion of re in re 0.697 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.697 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.697 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.698 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.698 * [taylor]: Taking taylor expansion of im in re 0.698 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.698 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.698 * [taylor]: Taking taylor expansion of re in re 0.700 * [taylor]: Taking taylor expansion of 1 in im 0.700 * [taylor]: Taking taylor expansion of 0 in im 0.702 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.702 * [taylor]: Taking taylor expansion of 1/2 in im 0.702 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.702 * [taylor]: Taking taylor expansion of im in im 0.706 * [taylor]: Taking taylor expansion of 0 in im 0.707 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 2 1) 0.707 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.707 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.707 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.707 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.707 * [taylor]: Taking taylor expansion of re in im 0.707 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.707 * [taylor]: Taking taylor expansion of im in im 0.708 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.708 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.708 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.708 * [taylor]: Taking taylor expansion of re in re 0.708 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.708 * [taylor]: Taking taylor expansion of im in re 0.708 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.708 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.708 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.708 * [taylor]: Taking taylor expansion of re in re 0.708 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.708 * [taylor]: Taking taylor expansion of im in re 0.709 * [taylor]: Taking taylor expansion of im in im 0.709 * [taylor]: Taking taylor expansion of 0 in im 0.710 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.710 * [taylor]: Taking taylor expansion of 1/2 in im 0.710 * [taylor]: Taking taylor expansion of im in im 0.712 * [taylor]: Taking taylor expansion of 0 in im 0.713 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.713 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.713 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.713 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.713 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.713 * [taylor]: Taking taylor expansion of im in im 0.714 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.714 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.714 * [taylor]: Taking taylor expansion of re in im 0.716 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.716 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.716 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.716 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.716 * [taylor]: Taking taylor expansion of im in re 0.716 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.716 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.716 * [taylor]: Taking taylor expansion of re in re 0.718 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.718 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.718 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.718 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.718 * [taylor]: Taking taylor expansion of im in re 0.719 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.719 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.719 * [taylor]: Taking taylor expansion of re in re 0.721 * [taylor]: Taking taylor expansion of 1 in im 0.721 * [taylor]: Taking taylor expansion of 0 in im 0.723 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.723 * [taylor]: Taking taylor expansion of 1/2 in im 0.723 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.723 * [taylor]: Taking taylor expansion of im in im 0.726 * [taylor]: Taking taylor expansion of 0 in im 0.727 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.727 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.727 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.727 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.728 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.728 * [taylor]: Taking taylor expansion of im in im 0.728 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.728 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.728 * [taylor]: Taking taylor expansion of re in im 0.730 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.730 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.730 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.730 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.730 * [taylor]: Taking taylor expansion of im in re 0.730 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.730 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.730 * [taylor]: Taking taylor expansion of re in re 0.733 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.733 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.733 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.733 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.733 * [taylor]: Taking taylor expansion of im in re 0.733 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.733 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.733 * [taylor]: Taking taylor expansion of re in re 0.735 * [taylor]: Taking taylor expansion of 1 in im 0.735 * [taylor]: Taking taylor expansion of 0 in im 0.737 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.737 * [taylor]: Taking taylor expansion of 1/2 in im 0.737 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.737 * [taylor]: Taking taylor expansion of im in im 0.740 * [taylor]: Taking taylor expansion of 0 in im 0.741 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1 1) 0.742 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.742 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.742 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.742 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.742 * [taylor]: Taking taylor expansion of re in im 0.742 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.742 * [taylor]: Taking taylor expansion of im in im 0.742 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.742 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.742 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.742 * [taylor]: Taking taylor expansion of re in re 0.742 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.742 * [taylor]: Taking taylor expansion of im in re 0.743 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.743 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.743 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.743 * [taylor]: Taking taylor expansion of re in re 0.743 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.743 * [taylor]: Taking taylor expansion of im in re 0.743 * [taylor]: Taking taylor expansion of im in im 0.743 * [taylor]: Taking taylor expansion of 0 in im 0.745 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.745 * [taylor]: Taking taylor expansion of 1/2 in im 0.745 * [taylor]: Taking taylor expansion of im in im 0.747 * [taylor]: Taking taylor expansion of 0 in im 0.747 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.747 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.747 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.747 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.747 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.747 * [taylor]: Taking taylor expansion of im in im 0.748 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.748 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.748 * [taylor]: Taking taylor expansion of re in im 0.750 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.750 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.750 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.750 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.750 * [taylor]: Taking taylor expansion of im in re 0.750 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.750 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.750 * [taylor]: Taking taylor expansion of re in re 0.753 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.753 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.753 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.753 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.753 * [taylor]: Taking taylor expansion of im in re 0.753 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.753 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.753 * [taylor]: Taking taylor expansion of re in re 0.755 * [taylor]: Taking taylor expansion of 1 in im 0.755 * [taylor]: Taking taylor expansion of 0 in im 0.757 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.757 * [taylor]: Taking taylor expansion of 1/2 in im 0.757 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.757 * [taylor]: Taking taylor expansion of im in im 0.760 * [taylor]: Taking taylor expansion of 0 in im 0.762 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.762 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.762 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.762 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.762 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.762 * [taylor]: Taking taylor expansion of im in im 0.762 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.762 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.762 * [taylor]: Taking taylor expansion of re in im 0.764 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.764 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.764 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.764 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.764 * [taylor]: Taking taylor expansion of im in re 0.765 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.765 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.765 * [taylor]: Taking taylor expansion of re in re 0.769 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.769 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.769 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.769 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.769 * [taylor]: Taking taylor expansion of im in re 0.770 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.770 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.770 * [taylor]: Taking taylor expansion of re in re 0.772 * [taylor]: Taking taylor expansion of 1 in im 0.772 * [taylor]: Taking taylor expansion of 0 in im 0.774 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.774 * [taylor]: Taking taylor expansion of 1/2 in im 0.774 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.774 * [taylor]: Taking taylor expansion of im in im 0.777 * [taylor]: Taking taylor expansion of 0 in im 0.778 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 0.779 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 0.779 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.779 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.779 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.779 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.779 * [taylor]: Taking taylor expansion of re in im 0.779 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.779 * [taylor]: Taking taylor expansion of im in im 0.779 * [taylor]: Taking taylor expansion of re in im 0.779 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.779 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.779 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.779 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.779 * [taylor]: Taking taylor expansion of re in re 0.779 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.779 * [taylor]: Taking taylor expansion of im in re 0.780 * [taylor]: Taking taylor expansion of re in re 0.780 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.780 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.780 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.780 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.780 * [taylor]: Taking taylor expansion of re in re 0.780 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.780 * [taylor]: Taking taylor expansion of im in re 0.781 * [taylor]: Taking taylor expansion of re in re 0.781 * [taylor]: Taking taylor expansion of im in im 0.781 * [taylor]: Taking taylor expansion of -1 in im 0.783 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.783 * [taylor]: Taking taylor expansion of 1/2 in im 0.783 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.783 * [taylor]: Taking taylor expansion of im in im 0.786 * [taylor]: Taking taylor expansion of 0 in im 0.788 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.788 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.788 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.788 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.788 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.788 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.788 * [taylor]: Taking taylor expansion of im in im 0.788 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.788 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.788 * [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 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.790 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.790 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.790 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.790 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.790 * [taylor]: Taking taylor expansion of im in re 0.791 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.791 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.791 * [taylor]: Taking taylor expansion of re in re 0.793 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.793 * [taylor]: Taking taylor expansion of re in re 0.793 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.793 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.793 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.793 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.793 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.793 * [taylor]: Taking taylor expansion of im in re 0.793 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.793 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.793 * [taylor]: Taking taylor expansion of re in re 0.796 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.796 * [taylor]: Taking taylor expansion of re in re 0.797 * [taylor]: Taking taylor expansion of 0 in im 0.797 * [taylor]: Taking taylor expansion of 0 in im 0.800 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.800 * [taylor]: Taking taylor expansion of 1/2 in im 0.800 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.800 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.800 * [taylor]: Taking taylor expansion of im in im 0.805 * [taylor]: Taking taylor expansion of 0 in im 0.807 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.807 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.807 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.807 * [taylor]: Taking taylor expansion of re in im 0.807 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.807 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.807 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.807 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.807 * [taylor]: Taking taylor expansion of im in im 0.808 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.808 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.808 * [taylor]: Taking taylor expansion of re in im 0.810 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.810 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.810 * [taylor]: Taking taylor expansion of re in re 0.810 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.810 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.810 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.810 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.810 * [taylor]: Taking taylor expansion of im in re 0.810 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.810 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.810 * [taylor]: Taking taylor expansion of re in re 0.813 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.813 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.813 * [taylor]: Taking taylor expansion of re in re 0.813 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.813 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.813 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.813 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.813 * [taylor]: Taking taylor expansion of im in re 0.813 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.813 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.813 * [taylor]: Taking taylor expansion of re in re 0.816 * [taylor]: Taking taylor expansion of 2 in im 0.816 * [taylor]: Taking taylor expansion of 0 in im 0.819 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.819 * [taylor]: Taking taylor expansion of 1/2 in im 0.819 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.819 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.819 * [taylor]: Taking taylor expansion of im in im 0.823 * [taylor]: Taking taylor expansion of 0 in im 0.825 * * * [progress]: simplifying candidates 0.826 * [simplify]: Simplifying using # : (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)))) (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)))) (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)))) (/ (exp (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (exp re)) (log (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (exp (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (* (cbrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (* (* (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (sqrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (sqrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (- (pow (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) 3) (pow re 3)) (+ (* (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (+ (* re re) (* (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))) (- re) (- (* (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* re re)) (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) (- re) im re (* -1 re) im re (* -1 re) im re (* -1 re) (- im re) 0 (* -2 re) 0.830 * * [simplify]: iteration 0 : 148 enodes (cost 643 ) 0.833 * * [simplify]: iteration 1 : 378 enodes (cost 541 ) 0.841 * * [simplify]: iteration 2 : 1206 enodes (cost 463 ) 0.868 * * [simplify]: iteration 3 : 4691 enodes (cost 456 ) 0.965 * * [simplify]: iteration 4 : 5001 enodes (cost 450 ) 0.968 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (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)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (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)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (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)))) (exp (+ (sqrt (+ (* re re) (* im im))) (- 0 re))) (log (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) (- 0 re))) (* (cbrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (pow (+ (* -1 re) (sqrt (+ (* re re) (* im im)))) 3) (sqrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (sqrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (+ (- (pow re 3)) (pow (sqrt (+ (* re re) (* im im))) 3)) (+ (+ (* (cbrt (+ (* re re) (* im im))) (* (cbrt (sqrt (+ (* re re) (* im im)))) re)) (* re (+ re re))) (* im im)) (* -1 re) (pow im 2) (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) (* -1 re) im re (* -1 re) im re (* -1 re) im re (* -1 re) (- im re) 0 (* -2 re) 0.968 * * * [progress]: adding candidates to table 1.167 * * [progress]: iteration 3 / 4 1.167 * * * [progress]: picking best candidate 1.188 * * * * [pick]: Picked # 1.188 * * * [progress]: localizing error 1.208 * * * [progress]: generating rewritten candidates 1.208 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 1 2 1 2 1) 1.212 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 2 1 1 1) 1.216 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 2 1) 1.220 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1 1 1) 1.225 * * * [progress]: generating series expansions 1.225 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 1 2 1 2 1) 1.225 * [approximate]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in (re im) around 0 1.225 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in im 1.225 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in im 1.225 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in im 1.225 * [taylor]: Taking taylor expansion of 1/3 in im 1.225 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im 1.225 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.225 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.225 * [taylor]: Taking taylor expansion of re in im 1.225 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.225 * [taylor]: Taking taylor expansion of im in im 1.226 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in re 1.226 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in re 1.226 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in re 1.226 * [taylor]: Taking taylor expansion of 1/3 in re 1.226 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 1.226 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.226 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.226 * [taylor]: Taking taylor expansion of re in re 1.226 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.226 * [taylor]: Taking taylor expansion of im in re 1.227 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in re 1.227 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in re 1.227 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in re 1.227 * [taylor]: Taking taylor expansion of 1/3 in re 1.227 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 1.227 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.227 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.227 * [taylor]: Taking taylor expansion of re in re 1.227 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.227 * [taylor]: Taking taylor expansion of im in re 1.227 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/3) in im 1.227 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow im 2)))) in im 1.227 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow im 2))) in im 1.227 * [taylor]: Taking taylor expansion of 1/3 in im 1.227 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 1.227 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.227 * [taylor]: Taking taylor expansion of im in im 1.231 * [taylor]: Taking taylor expansion of 0 in im 1.236 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) in im 1.236 * [taylor]: Taking taylor expansion of 1/3 in im 1.236 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 4)) 1/3) in im 1.237 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 4))))) in im 1.237 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 4)))) in im 1.237 * [taylor]: Taking taylor expansion of 1/3 in im 1.237 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 4))) in im 1.237 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 1.237 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.237 * [taylor]: Taking taylor expansion of im in im 1.247 * [taylor]: Taking taylor expansion of 0 in im 1.255 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in (re im) around 0 1.255 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in im 1.255 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.255 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.255 * [taylor]: Taking taylor expansion of 1/3 in im 1.255 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.255 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.255 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.255 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.255 * [taylor]: Taking taylor expansion of im in im 1.256 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.256 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.256 * [taylor]: Taking taylor expansion of re in im 1.257 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 1.257 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.257 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.257 * [taylor]: Taking taylor expansion of 1/3 in re 1.257 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.257 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.257 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.257 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.257 * [taylor]: Taking taylor expansion of im in re 1.257 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.257 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.257 * [taylor]: Taking taylor expansion of re in re 1.259 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 1.259 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.259 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.259 * [taylor]: Taking taylor expansion of 1/3 in re 1.259 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.259 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.259 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.259 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.259 * [taylor]: Taking taylor expansion of im in re 1.259 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.259 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.259 * [taylor]: Taking taylor expansion of re in re 1.260 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 1.260 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 1.260 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 1.260 * [taylor]: Taking taylor expansion of -2/3 in im 1.260 * [taylor]: Taking taylor expansion of (log re) in im 1.260 * [taylor]: Taking taylor expansion of re in im 1.263 * [taylor]: Taking taylor expansion of 0 in im 1.271 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 1.271 * [taylor]: Taking taylor expansion of 1/3 in im 1.271 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 1.271 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 1.271 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 1.271 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 1.271 * [taylor]: Taking taylor expansion of 1/3 in im 1.271 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 1.271 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.271 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.271 * [taylor]: Taking taylor expansion of re in im 1.272 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.272 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.272 * [taylor]: Taking taylor expansion of im in im 1.289 * [taylor]: Taking taylor expansion of 0 in im 1.289 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in (re im) around 0 1.289 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in im 1.289 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.289 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.289 * [taylor]: Taking taylor expansion of 1/3 in im 1.289 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.289 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.289 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.289 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.289 * [taylor]: Taking taylor expansion of im in im 1.290 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.290 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.290 * [taylor]: Taking taylor expansion of re in im 1.291 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 1.291 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.291 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.291 * [taylor]: Taking taylor expansion of 1/3 in re 1.291 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.291 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.291 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.291 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.291 * [taylor]: Taking taylor expansion of im in re 1.291 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.291 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.291 * [taylor]: Taking taylor expansion of re in re 1.292 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 1.292 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.292 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.292 * [taylor]: Taking taylor expansion of 1/3 in re 1.292 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.292 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.292 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.292 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.292 * [taylor]: Taking taylor expansion of im in re 1.292 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.293 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.293 * [taylor]: Taking taylor expansion of re in re 1.294 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 1.294 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 1.294 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 1.294 * [taylor]: Taking taylor expansion of -2/3 in im 1.294 * [taylor]: Taking taylor expansion of (log re) in im 1.294 * [taylor]: Taking taylor expansion of re in im 1.297 * [taylor]: Taking taylor expansion of 0 in im 1.302 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 1.302 * [taylor]: Taking taylor expansion of 1/3 in im 1.302 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 1.302 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 1.302 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 1.302 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 1.302 * [taylor]: Taking taylor expansion of 1/3 in im 1.302 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 1.302 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.302 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.302 * [taylor]: Taking taylor expansion of re in im 1.302 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.302 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.302 * [taylor]: Taking taylor expansion of im in im 1.319 * [taylor]: Taking taylor expansion of 0 in im 1.319 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 2 1 1 1) 1.319 * [approximate]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in (re im) around 0 1.319 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in im 1.319 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in im 1.319 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in im 1.320 * [taylor]: Taking taylor expansion of 1/3 in im 1.320 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im 1.320 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.320 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.320 * [taylor]: Taking taylor expansion of re in im 1.320 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.320 * [taylor]: Taking taylor expansion of im in im 1.320 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in re 1.320 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in re 1.320 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in re 1.320 * [taylor]: Taking taylor expansion of 1/3 in re 1.320 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 1.320 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.320 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.320 * [taylor]: Taking taylor expansion of re in re 1.320 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.320 * [taylor]: Taking taylor expansion of im in re 1.320 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in re 1.320 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in re 1.320 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in re 1.320 * [taylor]: Taking taylor expansion of 1/3 in re 1.320 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 1.320 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.321 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.321 * [taylor]: Taking taylor expansion of re in re 1.321 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.321 * [taylor]: Taking taylor expansion of im in re 1.321 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/3) in im 1.321 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow im 2)))) in im 1.321 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow im 2))) in im 1.321 * [taylor]: Taking taylor expansion of 1/3 in im 1.321 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 1.321 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.321 * [taylor]: Taking taylor expansion of im in im 1.324 * [taylor]: Taking taylor expansion of 0 in im 1.329 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) in im 1.329 * [taylor]: Taking taylor expansion of 1/3 in im 1.329 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 4)) 1/3) in im 1.329 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 4))))) in im 1.329 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 4)))) in im 1.329 * [taylor]: Taking taylor expansion of 1/3 in im 1.329 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 4))) in im 1.329 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 1.329 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.329 * [taylor]: Taking taylor expansion of im in im 1.339 * [taylor]: Taking taylor expansion of 0 in im 1.348 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in (re im) around 0 1.348 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in im 1.348 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.348 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.348 * [taylor]: Taking taylor expansion of 1/3 in im 1.348 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.348 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.348 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.348 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.348 * [taylor]: Taking taylor expansion of im in im 1.349 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.349 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.349 * [taylor]: Taking taylor expansion of re in im 1.350 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 1.350 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.350 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.350 * [taylor]: Taking taylor expansion of 1/3 in re 1.350 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.350 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.350 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.350 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.350 * [taylor]: Taking taylor expansion of im in re 1.350 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.350 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.350 * [taylor]: Taking taylor expansion of re in re 1.351 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 1.351 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.351 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.352 * [taylor]: Taking taylor expansion of 1/3 in re 1.352 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.352 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.352 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.352 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.352 * [taylor]: Taking taylor expansion of im in re 1.352 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.352 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.352 * [taylor]: Taking taylor expansion of re in re 1.353 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 1.353 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 1.353 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 1.353 * [taylor]: Taking taylor expansion of -2/3 in im 1.353 * [taylor]: Taking taylor expansion of (log re) in im 1.353 * [taylor]: Taking taylor expansion of re in im 1.359 * [taylor]: Taking taylor expansion of 0 in im 1.363 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 1.364 * [taylor]: Taking taylor expansion of 1/3 in im 1.364 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 1.364 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 1.364 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 1.364 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 1.364 * [taylor]: Taking taylor expansion of 1/3 in im 1.364 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 1.364 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.364 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.364 * [taylor]: Taking taylor expansion of re in im 1.364 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.364 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.364 * [taylor]: Taking taylor expansion of im in im 1.381 * [taylor]: Taking taylor expansion of 0 in im 1.381 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in (re im) around 0 1.381 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in im 1.381 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.381 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.381 * [taylor]: Taking taylor expansion of 1/3 in im 1.381 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.381 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.381 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.381 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.381 * [taylor]: Taking taylor expansion of im in im 1.382 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.382 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.382 * [taylor]: Taking taylor expansion of re in im 1.383 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 1.383 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.383 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.383 * [taylor]: Taking taylor expansion of 1/3 in re 1.383 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.383 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.383 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.383 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.383 * [taylor]: Taking taylor expansion of im in re 1.383 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.383 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.383 * [taylor]: Taking taylor expansion of re in re 1.385 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 1.385 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.385 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.385 * [taylor]: Taking taylor expansion of 1/3 in re 1.385 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.385 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.385 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.385 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.385 * [taylor]: Taking taylor expansion of im in re 1.385 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.385 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.385 * [taylor]: Taking taylor expansion of re in re 1.386 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 1.386 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 1.386 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 1.386 * [taylor]: Taking taylor expansion of -2/3 in im 1.386 * [taylor]: Taking taylor expansion of (log re) in im 1.386 * [taylor]: Taking taylor expansion of re in im 1.389 * [taylor]: Taking taylor expansion of 0 in im 1.394 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 1.394 * [taylor]: Taking taylor expansion of 1/3 in im 1.394 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 1.394 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 1.394 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 1.394 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 1.394 * [taylor]: Taking taylor expansion of 1/3 in im 1.394 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 1.394 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.395 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.395 * [taylor]: Taking taylor expansion of re in im 1.395 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.395 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.395 * [taylor]: Taking taylor expansion of im in im 1.412 * [taylor]: Taking taylor expansion of 0 in im 1.412 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 2 1) 1.412 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.412 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.412 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.412 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.412 * [taylor]: Taking taylor expansion of re in im 1.412 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.412 * [taylor]: Taking taylor expansion of im in im 1.412 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.413 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.413 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.413 * [taylor]: Taking taylor expansion of re in re 1.413 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.413 * [taylor]: Taking taylor expansion of im in re 1.413 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.413 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.413 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.413 * [taylor]: Taking taylor expansion of re in re 1.413 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.413 * [taylor]: Taking taylor expansion of im in re 1.414 * [taylor]: Taking taylor expansion of im in im 1.414 * [taylor]: Taking taylor expansion of 0 in im 1.415 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.415 * [taylor]: Taking taylor expansion of 1/2 in im 1.415 * [taylor]: Taking taylor expansion of im in im 1.417 * [taylor]: Taking taylor expansion of 0 in im 1.418 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.418 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.418 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.418 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.418 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.418 * [taylor]: Taking taylor expansion of im in im 1.418 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.419 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.419 * [taylor]: Taking taylor expansion of re in im 1.421 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.421 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.421 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.421 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.421 * [taylor]: Taking taylor expansion of im in re 1.421 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.421 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.421 * [taylor]: Taking taylor expansion of re in re 1.423 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.423 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.423 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.423 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.423 * [taylor]: Taking taylor expansion of im in re 1.423 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.423 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.423 * [taylor]: Taking taylor expansion of re in re 1.426 * [taylor]: Taking taylor expansion of 1 in im 1.426 * [taylor]: Taking taylor expansion of 0 in im 1.428 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.428 * [taylor]: Taking taylor expansion of 1/2 in im 1.428 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.428 * [taylor]: Taking taylor expansion of im in im 1.431 * [taylor]: Taking taylor expansion of 0 in im 1.433 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.433 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.433 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.433 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.433 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.433 * [taylor]: Taking taylor expansion of im in im 1.433 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.433 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.434 * [taylor]: Taking taylor expansion of re in im 1.436 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.436 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.436 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.436 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.436 * [taylor]: Taking taylor expansion of im in re 1.436 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.436 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.436 * [taylor]: Taking taylor expansion of re in re 1.438 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.438 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.438 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.438 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.438 * [taylor]: Taking taylor expansion of im in re 1.438 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.438 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.438 * [taylor]: Taking taylor expansion of re in re 1.441 * [taylor]: Taking taylor expansion of 1 in im 1.441 * [taylor]: Taking taylor expansion of 0 in im 1.443 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.443 * [taylor]: Taking taylor expansion of 1/2 in im 1.443 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.443 * [taylor]: Taking taylor expansion of im in im 1.449 * [taylor]: Taking taylor expansion of 0 in im 1.450 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1 1 1) 1.450 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.450 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.450 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.450 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.450 * [taylor]: Taking taylor expansion of re in im 1.450 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.450 * [taylor]: Taking taylor expansion of im in im 1.451 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.451 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.451 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.451 * [taylor]: Taking taylor expansion of re in re 1.451 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.451 * [taylor]: Taking taylor expansion of im in re 1.451 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.451 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.451 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.451 * [taylor]: Taking taylor expansion of re in re 1.451 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.451 * [taylor]: Taking taylor expansion of im in re 1.452 * [taylor]: Taking taylor expansion of im in im 1.452 * [taylor]: Taking taylor expansion of 0 in im 1.453 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.453 * [taylor]: Taking taylor expansion of 1/2 in im 1.453 * [taylor]: Taking taylor expansion of im in im 1.455 * [taylor]: Taking taylor expansion of 0 in im 1.456 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.456 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.456 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.456 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.456 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.456 * [taylor]: Taking taylor expansion of im in im 1.456 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.456 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.456 * [taylor]: Taking taylor expansion of re in im 1.459 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.459 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.459 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.459 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.459 * [taylor]: Taking taylor expansion of im in re 1.459 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.459 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.459 * [taylor]: Taking taylor expansion of re in re 1.461 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.461 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.461 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.461 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.461 * [taylor]: Taking taylor expansion of im in re 1.461 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.462 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.462 * [taylor]: Taking taylor expansion of re in re 1.464 * [taylor]: Taking taylor expansion of 1 in im 1.464 * [taylor]: Taking taylor expansion of 0 in im 1.466 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.466 * [taylor]: Taking taylor expansion of 1/2 in im 1.466 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.466 * [taylor]: Taking taylor expansion of im in im 1.469 * [taylor]: Taking taylor expansion of 0 in im 1.471 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.471 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.471 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.471 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.471 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.471 * [taylor]: Taking taylor expansion of im in im 1.471 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.471 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.471 * [taylor]: Taking taylor expansion of re in im 1.473 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.473 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.473 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.473 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.473 * [taylor]: Taking taylor expansion of im in re 1.473 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.473 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.473 * [taylor]: Taking taylor expansion of re in re 1.476 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.476 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.476 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.476 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.476 * [taylor]: Taking taylor expansion of im in re 1.476 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.476 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.476 * [taylor]: Taking taylor expansion of re in re 1.479 * [taylor]: Taking taylor expansion of 1 in im 1.479 * [taylor]: Taking taylor expansion of 0 in im 1.481 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.481 * [taylor]: Taking taylor expansion of 1/2 in im 1.481 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.481 * [taylor]: Taking taylor expansion of im in im 1.484 * [taylor]: Taking taylor expansion of 0 in im 1.485 * * * [progress]: simplifying candidates 1.486 * [simplify]: Simplifying using # : (log (cbrt (+ (* re re) (* im im)))) (exp (cbrt (+ (* re re) (* im im)))) (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt 1) (cbrt (+ (* re re) (* im im))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (- (* re re) (* im im))) (* (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (log (cbrt (+ (* re re) (* im im)))) (exp (cbrt (+ (* re re) (* im im)))) (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt 1) (cbrt (+ (* re re) (* im im))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (- (* re re) (* im im))) (* (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* 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)))) (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)))) (+ (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3))) (pow im 2/3)) (pow (/ 1 re) -2/3) (pow (/ -1 re) -2/3) (+ (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3))) (pow im 2/3)) (pow (/ 1 re) -2/3) (pow (/ -1 re) -2/3) im re (* -1 re) im re (* -1 re) 1.490 * * [simplify]: iteration 0 : 141 enodes (cost 444 ) 1.493 * * [simplify]: iteration 1 : 440 enodes (cost 420 ) 1.501 * * [simplify]: iteration 2 : 1469 enodes (cost 416 ) 1.533 * * [simplify]: iteration 3 : 5002 enodes (cost 414 ) 1.536 * [simplify]: Simplified to: (log (cbrt (+ (* re re) (* im im)))) (exp (cbrt (+ (* re re) (* im im)))) (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt 1) (cbrt (+ (* re re) (* im im))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (- (* re re) (* im im))) (* (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (+ (* re re) (* im im)) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (log (cbrt (+ (* re re) (* im im)))) (exp (cbrt (+ (* re re) (* im im)))) (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt 1) (cbrt (+ (* re re) (* im im))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (- (* re re) (* im im))) (* (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (+ (* re re) (* im im)) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* 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 (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (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)))) (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 (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (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)))) (+ (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3))) (pow im 2/3)) (pow (/ 1 re) -2/3) (pow (/ -1 re) -2/3) (+ (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3))) (pow im 2/3)) (pow (/ 1 re) -2/3) (pow (/ -1 re) -2/3) im re (* -1 re) im re (* -1 re) 1.537 * * * [progress]: adding candidates to table 1.836 * * [progress]: iteration 4 / 4 1.836 * * * [progress]: picking best candidate 1.857 * * * * [pick]: Picked # 1.857 * * * [progress]: localizing error 1.884 * * * [progress]: generating rewritten candidates 1.884 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 1 2 1 2 1) 1.889 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 2 1 1 1) 1.893 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 2 1) 1.897 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1 1 1) 1.902 * * * [progress]: generating series expansions 1.902 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 1 2 1 2 1) 1.903 * [approximate]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in (re im) around 0 1.903 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in im 1.903 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in im 1.903 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in im 1.903 * [taylor]: Taking taylor expansion of 1/3 in im 1.903 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im 1.903 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.903 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.903 * [taylor]: Taking taylor expansion of re in im 1.903 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.903 * [taylor]: Taking taylor expansion of im in im 1.903 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in re 1.903 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in re 1.903 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in re 1.903 * [taylor]: Taking taylor expansion of 1/3 in re 1.903 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 1.903 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.903 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.903 * [taylor]: Taking taylor expansion of re in re 1.903 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.903 * [taylor]: Taking taylor expansion of im in re 1.904 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in re 1.904 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in re 1.904 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in re 1.904 * [taylor]: Taking taylor expansion of 1/3 in re 1.904 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 1.904 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.904 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.904 * [taylor]: Taking taylor expansion of re in re 1.904 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.904 * [taylor]: Taking taylor expansion of im in re 1.904 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/3) in im 1.904 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow im 2)))) in im 1.904 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow im 2))) in im 1.904 * [taylor]: Taking taylor expansion of 1/3 in im 1.904 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 1.904 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.904 * [taylor]: Taking taylor expansion of im in im 1.907 * [taylor]: Taking taylor expansion of 0 in im 1.912 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) in im 1.912 * [taylor]: Taking taylor expansion of 1/3 in im 1.912 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 4)) 1/3) in im 1.912 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 4))))) in im 1.912 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 4)))) in im 1.912 * [taylor]: Taking taylor expansion of 1/3 in im 1.912 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 4))) in im 1.912 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 1.912 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.912 * [taylor]: Taking taylor expansion of im in im 1.926 * [taylor]: Taking taylor expansion of 0 in im 1.935 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in (re im) around 0 1.935 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in im 1.935 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.935 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.935 * [taylor]: Taking taylor expansion of 1/3 in im 1.935 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.935 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.935 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.935 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.935 * [taylor]: Taking taylor expansion of im in im 1.935 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.935 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.935 * [taylor]: Taking taylor expansion of re in im 1.936 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 1.936 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.936 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.936 * [taylor]: Taking taylor expansion of 1/3 in re 1.936 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.936 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.936 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.937 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.937 * [taylor]: Taking taylor expansion of im in re 1.937 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.937 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.937 * [taylor]: Taking taylor expansion of re in re 1.938 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 1.938 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.938 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.938 * [taylor]: Taking taylor expansion of 1/3 in re 1.938 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.938 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.938 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.938 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.938 * [taylor]: Taking taylor expansion of im in re 1.938 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.938 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.938 * [taylor]: Taking taylor expansion of re in re 1.940 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 1.940 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 1.940 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 1.940 * [taylor]: Taking taylor expansion of -2/3 in im 1.940 * [taylor]: Taking taylor expansion of (log re) in im 1.940 * [taylor]: Taking taylor expansion of re in im 1.943 * [taylor]: Taking taylor expansion of 0 in im 1.948 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 1.948 * [taylor]: Taking taylor expansion of 1/3 in im 1.948 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 1.948 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 1.948 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 1.948 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 1.948 * [taylor]: Taking taylor expansion of 1/3 in im 1.948 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 1.948 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.948 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.948 * [taylor]: Taking taylor expansion of re in im 1.949 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.949 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.949 * [taylor]: Taking taylor expansion of im in im 1.965 * [taylor]: Taking taylor expansion of 0 in im 1.965 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in (re im) around 0 1.966 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in im 1.966 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.966 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.966 * [taylor]: Taking taylor expansion of 1/3 in im 1.966 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.966 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.966 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.966 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.966 * [taylor]: Taking taylor expansion of im in im 1.966 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.966 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.966 * [taylor]: Taking taylor expansion of re in im 1.967 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 1.967 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.967 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.967 * [taylor]: Taking taylor expansion of 1/3 in re 1.967 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.967 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.967 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.967 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.967 * [taylor]: Taking taylor expansion of im in re 1.967 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.967 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.968 * [taylor]: Taking taylor expansion of re in re 1.969 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 1.969 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.969 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.969 * [taylor]: Taking taylor expansion of 1/3 in re 1.969 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.969 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.969 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.969 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.969 * [taylor]: Taking taylor expansion of im in re 1.969 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.969 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.969 * [taylor]: Taking taylor expansion of re in re 1.970 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 1.970 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 1.971 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 1.971 * [taylor]: Taking taylor expansion of -2/3 in im 1.971 * [taylor]: Taking taylor expansion of (log re) in im 1.971 * [taylor]: Taking taylor expansion of re in im 1.974 * [taylor]: Taking taylor expansion of 0 in im 1.978 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 1.978 * [taylor]: Taking taylor expansion of 1/3 in im 1.978 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 1.978 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 1.978 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 1.978 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 1.978 * [taylor]: Taking taylor expansion of 1/3 in im 1.978 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 1.978 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.978 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.978 * [taylor]: Taking taylor expansion of re in im 1.979 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.979 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.979 * [taylor]: Taking taylor expansion of im in im 1.996 * [taylor]: Taking taylor expansion of 0 in im 1.996 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 2 1 1 1) 1.996 * [approximate]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in (re im) around 0 1.996 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in im 1.996 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in im 1.996 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in im 1.996 * [taylor]: Taking taylor expansion of 1/3 in im 1.997 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im 1.997 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.997 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.997 * [taylor]: Taking taylor expansion of re in im 1.997 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.997 * [taylor]: Taking taylor expansion of im in im 1.997 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in re 1.997 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in re 1.997 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in re 1.997 * [taylor]: Taking taylor expansion of 1/3 in re 1.997 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 1.997 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.997 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.997 * [taylor]: Taking taylor expansion of re in re 1.997 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.997 * [taylor]: Taking taylor expansion of im in re 1.997 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in re 1.997 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in re 1.997 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in re 1.997 * [taylor]: Taking taylor expansion of 1/3 in re 1.997 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 1.997 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.997 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.997 * [taylor]: Taking taylor expansion of re in re 1.998 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.998 * [taylor]: Taking taylor expansion of im in re 1.998 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/3) in im 1.998 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow im 2)))) in im 1.998 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow im 2))) in im 1.998 * [taylor]: Taking taylor expansion of 1/3 in im 1.998 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 1.998 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.998 * [taylor]: Taking taylor expansion of im in im 2.001 * [taylor]: Taking taylor expansion of 0 in im 2.006 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) in im 2.006 * [taylor]: Taking taylor expansion of 1/3 in im 2.006 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 4)) 1/3) in im 2.006 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 4))))) in im 2.006 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 4)))) in im 2.006 * [taylor]: Taking taylor expansion of 1/3 in im 2.006 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 4))) in im 2.006 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 2.006 * [taylor]: Taking taylor expansion of (pow im 4) in im 2.006 * [taylor]: Taking taylor expansion of im in im 2.022 * [taylor]: Taking taylor expansion of 0 in im 2.031 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in (re im) around 0 2.031 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in im 2.031 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 2.031 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.031 * [taylor]: Taking taylor expansion of 1/3 in im 2.031 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.031 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.031 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.031 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.031 * [taylor]: Taking taylor expansion of im in im 2.031 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.031 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.031 * [taylor]: Taking taylor expansion of re in im 2.032 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 2.032 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 2.032 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.032 * [taylor]: Taking taylor expansion of 1/3 in re 2.033 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.033 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.033 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.033 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.033 * [taylor]: Taking taylor expansion of im in re 2.033 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.033 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.033 * [taylor]: Taking taylor expansion of re in re 2.034 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 2.034 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 2.034 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.034 * [taylor]: Taking taylor expansion of 1/3 in re 2.034 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.034 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.034 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.034 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.034 * [taylor]: Taking taylor expansion of im in re 2.034 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.034 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.034 * [taylor]: Taking taylor expansion of re in re 2.036 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 2.036 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 2.036 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 2.036 * [taylor]: Taking taylor expansion of -2/3 in im 2.036 * [taylor]: Taking taylor expansion of (log re) in im 2.036 * [taylor]: Taking taylor expansion of re in im 2.039 * [taylor]: Taking taylor expansion of 0 in im 2.044 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 2.044 * [taylor]: Taking taylor expansion of 1/3 in im 2.044 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 2.044 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 2.044 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 2.044 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 2.044 * [taylor]: Taking taylor expansion of 1/3 in im 2.044 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 2.044 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.044 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.044 * [taylor]: Taking taylor expansion of re in im 2.044 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.045 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.045 * [taylor]: Taking taylor expansion of im in im 2.062 * [taylor]: Taking taylor expansion of 0 in im 2.062 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in (re im) around 0 2.062 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in im 2.062 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 2.062 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.063 * [taylor]: Taking taylor expansion of 1/3 in im 2.063 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.063 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.063 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.063 * [taylor]: Taking taylor expansion of im in im 2.063 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.063 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.063 * [taylor]: Taking taylor expansion of re in im 2.064 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 2.064 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 2.064 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.064 * [taylor]: Taking taylor expansion of 1/3 in re 2.064 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.064 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.064 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.064 * [taylor]: Taking taylor expansion of im in re 2.064 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.064 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.064 * [taylor]: Taking taylor expansion of re in re 2.066 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 2.066 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 2.066 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.066 * [taylor]: Taking taylor expansion of 1/3 in re 2.066 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.066 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.066 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.066 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.066 * [taylor]: Taking taylor expansion of im in re 2.066 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.066 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.066 * [taylor]: Taking taylor expansion of re in re 2.068 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 2.068 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 2.068 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 2.068 * [taylor]: Taking taylor expansion of -2/3 in im 2.068 * [taylor]: Taking taylor expansion of (log re) in im 2.068 * [taylor]: Taking taylor expansion of re in im 2.071 * [taylor]: Taking taylor expansion of 0 in im 2.076 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 2.076 * [taylor]: Taking taylor expansion of 1/3 in im 2.076 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 2.076 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 2.076 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 2.076 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 2.076 * [taylor]: Taking taylor expansion of 1/3 in im 2.076 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 2.076 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.076 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.076 * [taylor]: Taking taylor expansion of re in im 2.076 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.076 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.076 * [taylor]: Taking taylor expansion of im in im 2.093 * [taylor]: Taking taylor expansion of 0 in im 2.093 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 2 1) 2.093 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 2.093 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.093 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.093 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.093 * [taylor]: Taking taylor expansion of re in im 2.093 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.093 * [taylor]: Taking taylor expansion of im in im 2.094 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.094 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.094 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.094 * [taylor]: Taking taylor expansion of re in re 2.094 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.094 * [taylor]: Taking taylor expansion of im in re 2.095 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.095 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.095 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.095 * [taylor]: Taking taylor expansion of re in re 2.095 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.095 * [taylor]: Taking taylor expansion of im in re 2.095 * [taylor]: Taking taylor expansion of im in im 2.095 * [taylor]: Taking taylor expansion of 0 in im 2.097 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.097 * [taylor]: Taking taylor expansion of 1/2 in im 2.097 * [taylor]: Taking taylor expansion of im in im 2.099 * [taylor]: Taking taylor expansion of 0 in im 2.104 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.104 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.104 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.104 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.104 * [taylor]: Taking taylor expansion of im in im 2.105 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.105 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.105 * [taylor]: Taking taylor expansion of re in im 2.107 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.107 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.107 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.107 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.107 * [taylor]: Taking taylor expansion of im in re 2.107 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.107 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.107 * [taylor]: Taking taylor expansion of re in re 2.110 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.110 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.110 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.110 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.110 * [taylor]: Taking taylor expansion of im in re 2.110 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.110 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.110 * [taylor]: Taking taylor expansion of re in re 2.112 * [taylor]: Taking taylor expansion of 1 in im 2.112 * [taylor]: Taking taylor expansion of 0 in im 2.114 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.114 * [taylor]: Taking taylor expansion of 1/2 in im 2.114 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.114 * [taylor]: Taking taylor expansion of im in im 2.117 * [taylor]: Taking taylor expansion of 0 in im 2.119 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.119 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.119 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.119 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.119 * [taylor]: Taking taylor expansion of im in im 2.119 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.119 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.119 * [taylor]: Taking taylor expansion of re in im 2.122 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.122 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.122 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.122 * [taylor]: Taking taylor expansion of im in re 2.122 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.122 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.122 * [taylor]: Taking taylor expansion of re in re 2.124 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.124 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.124 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.124 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.124 * [taylor]: Taking taylor expansion of im in re 2.124 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.124 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.124 * [taylor]: Taking taylor expansion of re in re 2.127 * [taylor]: Taking taylor expansion of 1 in im 2.127 * [taylor]: Taking taylor expansion of 0 in im 2.129 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.129 * [taylor]: Taking taylor expansion of 1/2 in im 2.129 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.129 * [taylor]: Taking taylor expansion of im in im 2.132 * [taylor]: Taking taylor expansion of 0 in im 2.133 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1 1 1) 2.133 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 2.133 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.133 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.133 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.134 * [taylor]: Taking taylor expansion of re in im 2.134 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.134 * [taylor]: Taking taylor expansion of im in im 2.134 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.134 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.134 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.134 * [taylor]: Taking taylor expansion of re in re 2.134 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.134 * [taylor]: Taking taylor expansion of im in re 2.135 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.135 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.135 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.135 * [taylor]: Taking taylor expansion of re in re 2.135 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.135 * [taylor]: Taking taylor expansion of im in re 2.135 * [taylor]: Taking taylor expansion of im in im 2.135 * [taylor]: Taking taylor expansion of 0 in im 2.137 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.137 * [taylor]: Taking taylor expansion of 1/2 in im 2.137 * [taylor]: Taking taylor expansion of im in im 2.139 * [taylor]: Taking taylor expansion of 0 in im 2.140 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.140 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.140 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.140 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.140 * [taylor]: Taking taylor expansion of im in im 2.140 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.140 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.140 * [taylor]: Taking taylor expansion of re in im 2.142 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.142 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.142 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.142 * [taylor]: Taking taylor expansion of im in re 2.142 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.142 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.142 * [taylor]: Taking taylor expansion of re in re 2.145 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.145 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.145 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.145 * [taylor]: Taking taylor expansion of im in re 2.145 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.145 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.145 * [taylor]: Taking taylor expansion of re in re 2.148 * [taylor]: Taking taylor expansion of 1 in im 2.148 * [taylor]: Taking taylor expansion of 0 in im 2.150 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.150 * [taylor]: Taking taylor expansion of 1/2 in im 2.150 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.150 * [taylor]: Taking taylor expansion of im in im 2.153 * [taylor]: Taking taylor expansion of 0 in im 2.154 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.154 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.154 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.154 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.154 * [taylor]: Taking taylor expansion of im in im 2.155 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.155 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.155 * [taylor]: Taking taylor expansion of re in im 2.157 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.157 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.157 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.157 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.157 * [taylor]: Taking taylor expansion of im in re 2.157 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.157 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.157 * [taylor]: Taking taylor expansion of re in re 2.159 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.159 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.159 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.159 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.160 * [taylor]: Taking taylor expansion of im in re 2.160 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.160 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.160 * [taylor]: Taking taylor expansion of re in re 2.162 * [taylor]: Taking taylor expansion of 1 in im 2.162 * [taylor]: Taking taylor expansion of 0 in im 2.164 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.164 * [taylor]: Taking taylor expansion of 1/2 in im 2.164 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.164 * [taylor]: Taking taylor expansion of im in im 2.167 * [taylor]: Taking taylor expansion of 0 in im 2.168 * * * [progress]: simplifying candidates 2.169 * [simplify]: Simplifying using # : (* (log (+ (* re re) (* im im))) 1/3) (* (log (+ (* re re) (* im im))) 1/3) (* 1 1/3) (pow (+ (* re re) (* im im)) (* (cbrt 1/3) (cbrt 1/3))) (pow (+ (* re re) (* im im)) (sqrt 1/3)) (pow (+ (* re re) (* im im)) 1) (pow (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) 1/3) (pow (cbrt (+ (* re re) (* im im))) 1/3) (pow (sqrt (+ (* re re) (* im im))) 1/3) (pow (sqrt (+ (* re re) (* im im))) 1/3) (pow 1 1/3) (pow (+ (* re re) (* im im)) 1/3) (log (pow (+ (* re re) (* im im)) 1/3)) (exp (pow (+ (* re re) (* im im)) 1/3)) (* (cbrt (pow (+ (* re re) (* im im)) 1/3)) (cbrt (pow (+ (* re re) (* im im)) 1/3))) (cbrt (pow (+ (* re re) (* im im)) 1/3)) (* (* (pow (+ (* re re) (* im im)) 1/3) (pow (+ (* re re) (* im im)) 1/3)) (pow (+ (* re re) (* im im)) 1/3)) (sqrt (pow (+ (* re re) (* im im)) 1/3)) (sqrt (pow (+ (* re re) (* im im)) 1/3)) (pow (+ (* re re) (* im im)) (/ 1/3 2)) (pow (+ (* re re) (* im im)) (/ 1/3 2)) (log (cbrt (+ (* re re) (* im im)))) (exp (cbrt (+ (* re re) (* im im)))) (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt 1) (cbrt (+ (* re re) (* im im))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (- (* re re) (* im im))) (* (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* 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)))) (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)))) (+ (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3))) (pow im 2/3)) (pow (/ 1 re) -2/3) (pow (/ -1 re) -2/3) (+ (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3))) (pow im 2/3)) (pow (/ 1 re) -2/3) (pow (/ -1 re) -2/3) im re (* -1 re) im re (* -1 re) 2.174 * * [simplify]: iteration 0 : 189 enodes (cost 439 ) 2.178 * * [simplify]: iteration 1 : 661 enodes (cost 385 ) 2.190 * * [simplify]: iteration 2 : 2515 enodes (cost 381 ) 2.246 * * [simplify]: iteration 3 : 5001 enodes (cost 379 ) 2.249 * [simplify]: Simplified to: (log (pow (+ (* re re) (* im im)) 1/3)) (log (pow (+ (* re re) (* im im)) 1/3)) 1/3 (pow (+ (* re re) (* im im)) (* (cbrt 1/3) (cbrt 1/3))) (pow (+ (* re re) (* im im)) (sqrt 1/3)) (+ (* re re) (* im im)) (cbrt (pow (+ (* re re) (* im im)) 2/3)) (pow (cbrt (+ (* re re) (* im im))) 1/3) (pow (sqrt (+ (* re re) (* im im))) 1/3) (pow (sqrt (+ (* re re) (* im im))) 1/3) 1 (pow (+ (* re re) (* im im)) 1/3) (log (pow (+ (* re re) (* im im)) 1/3)) (exp (cbrt (+ (* re re) (* im im)))) (pow (pow (+ (* re re) (* im im)) 1/3) 2/3) (pow (cbrt (+ (* re re) (* im im))) 1/3) (+ (* re re) (* im im)) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (pow (+ (* re re) (* im im)) 1/6) (pow (+ (* re re) (* im im)) 1/6) (log (pow (+ (* re re) (* im im)) 1/3)) (exp (cbrt (+ (* re re) (* im im)))) (cbrt (pow (+ (* re re) (* im im)) 2/3)) (pow (cbrt (+ (* re re) (* im im))) 1/3) (pow (sqrt (+ (* re re) (* im im))) 1/3) (pow (sqrt (+ (* re re) (* im im))) 1/3) 1 (pow (+ (* re re) (* im im)) 1/3) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (- (* re re) (* im im))) (pow (pow (+ (* re re) (* im im)) 1/3) 2/3) (pow (cbrt (+ (* re re) (* im im))) 1/3) (+ (* re re) (* im im)) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (* 1/2 (log (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 2/3) (pow (sqrt (+ (* re re) (* im im))) 1/3) (pow (+ (* re re) (* im im)) 3/2) (fabs (pow (+ (* re re) (* im im)) 1/3)) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (pow (+ (* re re) (* im im)) 1/2) (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)))) (* 1/2 (log (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 2/3) (pow (sqrt (+ (* re re) (* im im))) 1/3) (pow (+ (* re re) (* im im)) 3/2) (fabs (pow (+ (* re re) (* im im)) 1/3)) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (pow (+ (* re re) (* im im)) 1/2) (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)))) (+ (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3))) (pow im 2/3)) (pow (/ 1 re) -2/3) (pow (/ -1 re) -2/3) (+ (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3))) (pow im 2/3)) (pow (/ 1 re) -2/3) (pow (/ -1 re) -2/3) im re (* -1 re) im re (* -1 re) 2.250 * * * [progress]: adding candidates to table 2.582 * [progress]: [Phase 3 of 3] Extracting. 2.583 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 2.587 * * * [regime-changes]: Trying 7 branch expressions: ((* im im) (- (sqrt (+ (* re re) (* im im))) re) (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) im re) 2.588 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # # # #) 2.651 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # #) 2.689 * * * * [regimes]: Trying to branch on (- (sqrt (+ (* re re) (* im im))) re) from (# # # # # # # # # #) 2.740 * * * * [regimes]: Trying to branch on (- (sqrt (+ (* re re) (* im im))) re) from (# #) 2.759 * * * * [regimes]: Trying to branch on (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) from (# # # # # # # # # #) 2.811 * * * * [regimes]: Trying to branch on (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) from (# #) 2.830 * * * * [regimes]: Trying to branch on (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) from (# # # # # # # # # #) 2.885 * * * * [regimes]: Trying to branch on (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) from (# #) 2.906 * * * * [regimes]: Trying to branch on (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) from (# # # # # # # # # #) 2.960 * * * * [regimes]: Trying to branch on (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) from (# #) 2.980 * * * * [regimes]: Trying to branch on im from (# # # # # # # # # #) 3.041 * * * * [regimes]: Trying to branch on re from (# # # # # # # # # #) 3.103 * * * [regime]: Found split indices: #