26.568 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.023 * * * [progress]: [2/2] Setting up program. 0.025 * [progress]: [Phase 2 of 3] Improving. 0.026 * [simplify]: Simplifying using # : (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.027 * * [simplify]: iteration 0 : 12 enodes (cost 15 ) 0.028 * * [simplify]: iteration 1 : 22 enodes (cost 15 ) 0.030 * * [simplify]: iteration 2 : 23 enodes (cost 15 ) 0.033 * * [simplify]: iteration done : 23 enodes (cost 15 ) 0.033 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.033 * * [progress]: iteration 1 / 4 0.033 * * * [progress]: picking best candidate 0.035 * * * * [pick]: Picked # 0.035 * * * [progress]: localizing error 0.045 * * * [progress]: generating rewritten candidates 0.045 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1) 0.049 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.062 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.077 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1) 0.080 * * * [progress]: generating series expansions 0.080 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 0.080 * [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 0.081 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.081 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.081 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.081 * [taylor]: Taking taylor expansion of re in re 0.081 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.081 * [taylor]: Taking taylor expansion of im in re 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 im in im 0.083 * [taylor]: Taking taylor expansion of 0 in im 0.084 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.084 * [taylor]: Taking taylor expansion of 1/2 in im 0.084 * [taylor]: Taking taylor expansion of im in im 0.086 * [taylor]: Taking taylor expansion of 0 in im 0.087 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.087 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.087 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.087 * [taylor]: Taking taylor expansion of im in im 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.088 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.088 * [taylor]: Taking taylor expansion of re in im 0.090 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.090 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.090 * [taylor]: Taking taylor expansion of im in re 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.090 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.090 * [taylor]: Taking taylor expansion of re in re 0.092 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.092 * [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 0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.093 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.093 * [taylor]: Taking taylor expansion of re in re 0.095 * [taylor]: Taking taylor expansion of 1 in im 0.095 * [taylor]: Taking taylor expansion of 0 in im 0.097 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.097 * [taylor]: Taking taylor expansion of 1/2 in im 0.097 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.097 * [taylor]: Taking taylor expansion of im in im 0.101 * [taylor]: Taking taylor expansion of 0 in im 0.102 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.102 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.102 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.102 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.102 * [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 0.105 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.105 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.105 * [taylor]: Taking taylor expansion of re in re 0.107 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.107 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.107 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.107 * [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 0.110 * [taylor]: Taking taylor expansion of 1 in im 0.110 * [taylor]: Taking taylor expansion of 0 in im 0.112 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.112 * [taylor]: Taking taylor expansion of 1/2 in im 0.112 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.112 * [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 (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 0.117 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.117 * [taylor]: Taking taylor expansion of 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 0.117 * [taylor]: Taking taylor expansion of im in im 0.118 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.118 * [taylor]: Taking taylor expansion of 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 0.118 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.118 * [taylor]: Taking taylor expansion of 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 0.119 * [taylor]: Taking taylor expansion of im in re 0.119 * [taylor]: Taking taylor expansion of im in im 0.119 * [taylor]: Taking taylor expansion of 1 in im 0.121 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.121 * [taylor]: Taking taylor expansion of 1/2 in im 0.121 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.121 * [taylor]: Taking taylor expansion of im in im 0.123 * [taylor]: Taking taylor expansion of 0 in im 0.125 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.125 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.125 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.125 * [taylor]: Taking taylor expansion of re in im 0.125 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.125 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.125 * [taylor]: Taking taylor expansion of im in im 0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.125 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.125 * [taylor]: Taking taylor expansion of re in im 0.128 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.128 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.128 * [taylor]: Taking taylor expansion of re in re 0.128 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.128 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.128 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.128 * [taylor]: Taking taylor expansion of im in re 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.128 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.128 * [taylor]: Taking taylor expansion of re in re 0.131 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 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)))) in re 0.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.131 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.131 * [taylor]: Taking taylor expansion of im in re 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.131 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.131 * [taylor]: Taking taylor expansion of re in re 0.134 * [taylor]: Taking taylor expansion of 2 in im 0.135 * [taylor]: Taking taylor expansion of 0 in im 0.137 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.137 * [taylor]: Taking taylor expansion of 1/2 in im 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.138 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.138 * [taylor]: Taking taylor expansion of im in im 0.142 * [taylor]: Taking taylor expansion of 0 in im 0.144 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.144 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.144 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.144 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.144 * [taylor]: Taking taylor expansion of im in im 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.144 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.145 * [taylor]: Taking taylor expansion of re in im 0.147 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.147 * [taylor]: Taking taylor expansion of re in im 0.147 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.147 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.147 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.147 * [taylor]: Taking taylor expansion of im in re 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.147 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.147 * [taylor]: Taking taylor expansion of re in re 0.149 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.149 * [taylor]: Taking taylor expansion of re in re 0.154 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.154 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.154 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.154 * [taylor]: Taking taylor expansion of im in re 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.154 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.154 * [taylor]: Taking taylor expansion of re in re 0.157 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.157 * [taylor]: Taking taylor expansion of re in re 0.158 * [taylor]: Taking taylor expansion of 0 in im 0.159 * [taylor]: Taking taylor expansion of 0 in im 0.161 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.161 * [taylor]: Taking taylor expansion of 1/2 in im 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.161 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.162 * [taylor]: Taking taylor expansion of im in im 0.166 * [taylor]: Taking taylor expansion of 0 in im 0.168 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.168 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in (re im) around 0 0.168 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 0.168 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.168 * [taylor]: Taking taylor expansion of 2.0 in im 0.169 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 0.169 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.169 * [taylor]: Taking taylor expansion of re in im 0.169 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.169 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.169 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.169 * [taylor]: Taking taylor expansion of re in im 0.169 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.169 * [taylor]: Taking taylor expansion of im in im 0.170 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.170 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.170 * [taylor]: Taking taylor expansion of 2.0 in re 0.171 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.171 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.171 * [taylor]: Taking taylor expansion of re in re 0.171 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.171 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.171 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.171 * [taylor]: Taking taylor expansion of re in re 0.171 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.171 * [taylor]: Taking taylor expansion of im in re 0.172 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.172 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.172 * [taylor]: Taking taylor expansion of 2.0 in re 0.172 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.172 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.172 * [taylor]: Taking taylor expansion of 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 0.173 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.173 * [taylor]: Taking taylor expansion of re in re 0.173 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.173 * [taylor]: Taking taylor expansion of im in re 0.174 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.174 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.174 * [taylor]: Taking taylor expansion of 2.0 in im 0.174 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.175 * [taylor]: Taking taylor expansion of im in im 0.176 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.176 * [taylor]: Taking taylor expansion of 1/2 in im 0.176 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 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 (/ 1 im)) in im 0.177 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.177 * [taylor]: Taking taylor expansion of im in im 0.188 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.188 * [taylor]: Taking taylor expansion of 1/8 in im 0.188 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.188 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.188 * [taylor]: Taking taylor expansion of 2.0 in im 0.189 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.189 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.189 * [taylor]: Taking taylor expansion of im in im 0.205 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in (re im) around 0 0.205 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.205 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.205 * [taylor]: Taking taylor expansion of 2.0 in im 0.206 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.206 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.206 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.206 * [taylor]: Taking taylor expansion of re in im 0.206 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.206 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.206 * [taylor]: Taking taylor expansion of im in im 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.206 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.206 * [taylor]: Taking taylor expansion of re in im 0.210 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.210 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.210 * [taylor]: Taking taylor expansion of 2.0 in re 0.210 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.210 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.210 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.210 * [taylor]: Taking taylor expansion of re in re 0.211 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.211 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.211 * [taylor]: Taking taylor expansion of im in re 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.211 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.211 * [taylor]: Taking taylor expansion of re in re 0.215 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.215 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.215 * [taylor]: Taking taylor expansion of 2.0 in re 0.216 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.216 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.216 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.216 * [taylor]: Taking taylor expansion of re in re 0.216 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.216 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.216 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.216 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.216 * [taylor]: Taking taylor expansion of im in re 0.216 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.216 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.216 * [taylor]: Taking taylor expansion of re in re 0.220 * [taylor]: Taking taylor expansion of 0 in im 0.221 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.221 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.221 * [taylor]: Taking taylor expansion of +nan.0 in im 0.221 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.221 * [taylor]: Taking taylor expansion of 2.0 in im 0.227 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.227 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.227 * [taylor]: Taking taylor expansion of +nan.0 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 0.241 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.241 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.241 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.241 * [taylor]: Taking taylor expansion of +nan.0 in im 0.241 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.241 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.241 * [taylor]: Taking taylor expansion of 2.0 in im 0.242 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.242 * [taylor]: Taking taylor expansion of im in im 0.243 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.243 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.243 * [taylor]: Taking taylor expansion of +nan.0 in im 0.243 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.243 * [taylor]: Taking taylor expansion of 2.0 in im 0.254 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.254 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.254 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) 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 2)) 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 0.255 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.255 * [taylor]: Taking taylor expansion of im in im 0.256 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.256 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.256 * [taylor]: Taking taylor expansion of +nan.0 in im 0.256 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.256 * [taylor]: Taking taylor expansion of 2.0 in im 0.271 * [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 0.271 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.271 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.271 * [taylor]: Taking taylor expansion of 2.0 in im 0.271 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.271 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.271 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.271 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.272 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.272 * [taylor]: Taking taylor expansion of im in im 0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.272 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.272 * [taylor]: Taking taylor expansion of re in im 0.274 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.274 * [taylor]: Taking taylor expansion of re in im 0.276 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.276 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.276 * [taylor]: Taking taylor expansion of 2.0 in re 0.276 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.276 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.276 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.276 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.276 * [taylor]: Taking taylor expansion of im in re 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.277 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.277 * [taylor]: Taking taylor expansion of re in re 0.279 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.279 * [taylor]: Taking taylor expansion of re in re 0.284 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.284 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.284 * [taylor]: Taking taylor expansion of 2.0 in re 0.285 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.285 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.285 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.285 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.285 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.285 * [taylor]: Taking taylor expansion of im in re 0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.285 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.285 * [taylor]: Taking taylor expansion of re in re 0.287 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.288 * [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) (pow im 2)))) in im 0.294 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.294 * [taylor]: Taking taylor expansion of +nan.0 in im 0.294 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) 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 0.294 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.294 * [taylor]: Taking taylor expansion of im in im 0.302 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.302 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.302 * [taylor]: Taking taylor expansion of +nan.0 in im 0.302 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.302 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.302 * [taylor]: Taking taylor expansion of 2.0 in im 0.302 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.302 * [taylor]: Taking taylor expansion of im in im 0.325 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.325 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.325 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.325 * [taylor]: Taking taylor expansion of +nan.0 in im 0.325 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.325 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.325 * [taylor]: Taking taylor expansion of 2.0 in im 0.325 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.325 * [taylor]: Taking taylor expansion of im in im 0.326 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.326 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.327 * [taylor]: Taking taylor expansion of +nan.0 in im 0.327 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.327 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.327 * [taylor]: Taking taylor expansion of 2.0 in im 0.327 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.327 * [taylor]: Taking taylor expansion of im in im 0.351 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1) 0.351 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.351 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.351 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.351 * [taylor]: Taking taylor expansion of re in im 0.351 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.351 * [taylor]: Taking taylor expansion of im in im 0.351 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.351 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.351 * [taylor]: Taking taylor expansion of re in re 0.351 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.351 * [taylor]: Taking taylor expansion of im in re 0.351 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.351 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.351 * [taylor]: Taking taylor expansion of re in re 0.351 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.351 * [taylor]: Taking taylor expansion of im in re 0.351 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.351 * [taylor]: Taking taylor expansion of im in im 0.352 * [taylor]: Taking taylor expansion of 0 in im 0.353 * [taylor]: Taking taylor expansion of 1 in im 0.354 * [taylor]: Taking taylor expansion of 0 in im 0.356 * [taylor]: Taking taylor expansion of 0 in im 0.356 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.356 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.356 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.356 * [taylor]: Taking taylor expansion of im in im 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.357 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.357 * [taylor]: Taking taylor expansion of re in im 0.357 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.357 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.357 * [taylor]: Taking taylor expansion of im in re 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.357 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.357 * [taylor]: Taking taylor expansion of re in re 0.358 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.358 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.358 * [taylor]: Taking taylor expansion of im in re 0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.358 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.358 * [taylor]: Taking taylor expansion of re in re 0.359 * [taylor]: Taking taylor expansion of 1 in im 0.360 * [taylor]: Taking taylor expansion of 0 in im 0.361 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.361 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.361 * [taylor]: Taking taylor expansion of im in im 0.363 * [taylor]: Taking taylor expansion of 0 in im 0.366 * [taylor]: Taking taylor expansion of 0 in im 0.367 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.367 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.367 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.367 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.367 * [taylor]: Taking taylor expansion of im in im 0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.368 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.368 * [taylor]: Taking taylor expansion of re in im 0.368 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.368 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.368 * [taylor]: Taking taylor expansion of im in re 0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.368 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.368 * [taylor]: Taking taylor expansion of re in re 0.369 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.369 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.369 * [taylor]: Taking taylor expansion of im in re 0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.369 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.369 * [taylor]: Taking taylor expansion of re in re 0.370 * [taylor]: Taking taylor expansion of 1 in im 0.371 * [taylor]: Taking taylor expansion of 0 in im 0.372 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.372 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.372 * [taylor]: Taking taylor expansion of im in im 0.374 * [taylor]: Taking taylor expansion of 0 in im 0.377 * [taylor]: Taking taylor expansion of 0 in im 0.378 * * * [progress]: simplifying candidates 0.379 * [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))) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (* (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) im re (* -1 re) (+ re im) (* 2 re) 0 (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0 (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 0.382 * * [simplify]: iteration 0 : 108 enodes (cost 888 ) 0.406 * * [simplify]: iteration 1 : 272 enodes (cost 774 ) 0.463 * * [simplify]: iteration 2 : 845 enodes (cost 698 ) 0.850 * * [simplify]: iteration 3 : 2784 enodes (cost 673 ) 1.643 * * [simplify]: iteration done : 5001 enodes (cost 672 ) 1.644 * [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 im 6) (pow re 6))) (sqrt (- (+ (pow re 4) (pow im 4)) (* (* re re) (* im im)))) (sqrt (- (pow re 4) (pow im 4))) (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))) (+ 0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (pow (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 3) (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (pow im 2) (* re (+ (- re (sqrt (+ (* re re) (* im im)))) re)))) (sqrt (* 2.0 (+ 0 (* im im)))) (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 im 6) (pow re 6)) (- (+ (pow re 4) (pow im 4)) (* (* re re) (* im im))) (- (pow re 4) (pow im 4)) (- (* re re) (* im im)) im re (- re) (+ re im) (* 2 re) 0 (* (- (- im re) (* re re)) (* +nan.0 (sqrt 2.0))) (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) 0 (+ (* re re) (* im im)) (+ (* re re) (* im im)) (+ (* re re) (* im im)) 1.644 * * * [progress]: adding candidates to table 1.822 * * [progress]: iteration 2 / 4 1.822 * * * [progress]: picking best candidate 1.836 * * * * [pick]: Picked # 1.836 * * * [progress]: localizing error 1.855 * * * [progress]: generating rewritten candidates 1.855 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1 2 1) 1.859 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 2 1) 1.862 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 1 2 1) 1.866 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 1.879 * * * [progress]: generating series expansions 1.879 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1 2 1) 1.879 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.879 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.879 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.879 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.879 * [taylor]: Taking taylor expansion of re in im 1.879 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.879 * [taylor]: Taking taylor expansion of im in im 1.880 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.880 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.880 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.880 * [taylor]: Taking taylor expansion of re in re 1.880 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.880 * [taylor]: Taking taylor expansion of im in re 1.880 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.880 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.880 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.880 * [taylor]: Taking taylor expansion of re in re 1.880 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.880 * [taylor]: Taking taylor expansion of im in re 1.881 * [taylor]: Taking taylor expansion of im in im 1.881 * [taylor]: Taking taylor expansion of 0 in im 1.882 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.882 * [taylor]: Taking taylor expansion of 1/2 in im 1.882 * [taylor]: Taking taylor expansion of im in im 1.884 * [taylor]: Taking taylor expansion of 0 in im 1.885 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.885 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.885 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.885 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.885 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.885 * [taylor]: Taking taylor expansion of im in im 1.886 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.886 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.886 * [taylor]: Taking taylor expansion of re in im 1.888 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.888 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.888 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.888 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.888 * [taylor]: Taking taylor expansion of im in re 1.888 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.888 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.888 * [taylor]: Taking taylor expansion of re in re 1.891 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.891 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.891 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.891 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.891 * [taylor]: Taking taylor expansion of im in re 1.891 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.891 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.891 * [taylor]: Taking taylor expansion of re in re 1.893 * [taylor]: Taking taylor expansion of 1 in im 1.893 * [taylor]: Taking taylor expansion of 0 in im 1.895 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.895 * [taylor]: Taking taylor expansion of 1/2 in im 1.895 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.895 * [taylor]: Taking taylor expansion of im in im 1.899 * [taylor]: Taking taylor expansion of 0 in im 1.900 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.900 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.900 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.900 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.900 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.900 * [taylor]: Taking taylor expansion of im in im 1.901 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.901 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.901 * [taylor]: Taking taylor expansion of re in im 1.903 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.903 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.903 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.903 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.903 * [taylor]: Taking taylor expansion of im in re 1.903 * [taylor]: Taking taylor expansion of (/ 1 (pow re 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 1.906 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.906 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.906 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.906 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.906 * [taylor]: Taking taylor expansion of im in re 1.906 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.906 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.906 * [taylor]: Taking taylor expansion of re in re 1.908 * [taylor]: Taking taylor expansion of 1 in im 1.908 * [taylor]: Taking taylor expansion of 0 in im 1.910 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.910 * [taylor]: Taking taylor expansion of 1/2 in im 1.910 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.910 * [taylor]: Taking taylor expansion of im in im 1.914 * [taylor]: Taking taylor expansion of 0 in im 1.915 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 2 1) 1.915 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.915 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.915 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.915 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.915 * [taylor]: Taking taylor expansion of re in im 1.915 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.915 * [taylor]: Taking taylor expansion of im in im 1.916 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.916 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.916 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.916 * [taylor]: Taking taylor expansion of re in re 1.916 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.916 * [taylor]: Taking taylor expansion of im in re 1.916 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.916 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.916 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.916 * [taylor]: Taking taylor expansion of re in re 1.916 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.916 * [taylor]: Taking taylor expansion of im in re 1.917 * [taylor]: Taking taylor expansion of im in im 1.917 * [taylor]: Taking taylor expansion of 0 in im 1.918 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.918 * [taylor]: Taking taylor expansion of 1/2 in im 1.918 * [taylor]: Taking taylor expansion of im in im 1.920 * [taylor]: Taking taylor expansion of 0 in im 1.921 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.921 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.921 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.921 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.921 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.921 * [taylor]: Taking taylor expansion of im in im 1.922 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.922 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.922 * [taylor]: Taking taylor expansion of re in im 1.929 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.929 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.929 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.929 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.929 * [taylor]: Taking taylor expansion of im in re 1.929 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.929 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.929 * [taylor]: Taking taylor expansion of re in re 1.931 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.931 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.931 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.932 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.932 * [taylor]: Taking taylor expansion of im in re 1.932 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.932 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.932 * [taylor]: Taking taylor expansion of re in re 1.934 * [taylor]: Taking taylor expansion of 1 in im 1.934 * [taylor]: Taking taylor expansion of 0 in im 1.936 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.936 * [taylor]: Taking taylor expansion of 1/2 in im 1.936 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.936 * [taylor]: Taking taylor expansion of im in im 1.940 * [taylor]: Taking taylor expansion of 0 in im 1.941 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.941 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.941 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.941 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.941 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.941 * [taylor]: Taking taylor expansion of im in im 1.942 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.942 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.942 * [taylor]: Taking taylor expansion of re in im 1.944 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.944 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.944 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.944 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.944 * [taylor]: Taking taylor expansion of im in re 1.944 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.944 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.944 * [taylor]: Taking taylor expansion of re in re 1.946 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.947 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.947 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.947 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.947 * [taylor]: Taking taylor expansion of im in re 1.947 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.947 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.947 * [taylor]: Taking taylor expansion of re in re 1.949 * [taylor]: Taking taylor expansion of 1 in im 1.949 * [taylor]: Taking taylor expansion of 0 in im 1.951 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.951 * [taylor]: Taking taylor expansion of 1/2 in im 1.951 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.951 * [taylor]: Taking taylor expansion of im in im 1.955 * [taylor]: Taking taylor expansion of 0 in im 1.956 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 1 2 1) 1.956 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.956 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.956 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.956 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.956 * [taylor]: Taking taylor expansion of re in im 1.957 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.957 * [taylor]: Taking taylor expansion of im in im 1.957 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.957 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.957 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.957 * [taylor]: Taking taylor expansion of re in re 1.957 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.957 * [taylor]: Taking taylor expansion of im in re 1.958 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.958 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.958 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.958 * [taylor]: Taking taylor expansion of re in re 1.958 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.958 * [taylor]: Taking taylor expansion of im in re 1.958 * [taylor]: Taking taylor expansion of im in im 1.958 * [taylor]: Taking taylor expansion of 0 in im 1.960 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.960 * [taylor]: Taking taylor expansion of 1/2 in im 1.960 * [taylor]: Taking taylor expansion of im in im 1.962 * [taylor]: Taking taylor expansion of 0 in im 1.962 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.962 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.962 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.962 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.963 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.963 * [taylor]: Taking taylor expansion of im in im 1.963 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.963 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.963 * [taylor]: Taking taylor expansion of re in im 1.965 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.965 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.965 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.965 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.965 * [taylor]: Taking taylor expansion of im in re 1.965 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.965 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.965 * [taylor]: Taking taylor expansion of re in re 1.968 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.968 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.968 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.968 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.968 * [taylor]: Taking taylor expansion of im in re 1.968 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.968 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.968 * [taylor]: Taking taylor expansion of re in re 1.971 * [taylor]: Taking taylor expansion of 1 in im 1.971 * [taylor]: Taking taylor expansion of 0 in im 1.973 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.973 * [taylor]: Taking taylor expansion of 1/2 in im 1.973 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.973 * [taylor]: Taking taylor expansion of im in im 1.976 * [taylor]: Taking taylor expansion of 0 in im 1.977 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.977 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.977 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.977 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.977 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.977 * [taylor]: Taking taylor expansion of im 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 1.980 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.980 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.980 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.980 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.980 * [taylor]: Taking taylor expansion of im in re 1.980 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.980 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.980 * [taylor]: Taking taylor expansion of re in re 1.983 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.983 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.983 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.983 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.983 * [taylor]: Taking taylor expansion of im in re 1.983 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.983 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.983 * [taylor]: Taking taylor expansion of re in re 1.985 * [taylor]: Taking taylor expansion of 1 in im 1.986 * [taylor]: Taking taylor expansion of 0 in im 1.987 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.988 * [taylor]: Taking taylor expansion of 1/2 in im 1.988 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.988 * [taylor]: Taking taylor expansion of im in im 1.991 * [taylor]: Taking taylor expansion of 0 in im 1.992 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 1.992 * [approximate]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (pow (+ re (sqrt (+ (pow re 2) (pow im 2)))) 1/6)) in (re im) around 0 1.992 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (pow (+ re (sqrt (+ (pow re 2) (pow im 2)))) 1/6)) in im 1.992 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 1.992 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 1.992 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 1.992 * [taylor]: Taking taylor expansion of 1/3 in im 1.992 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 1.992 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.992 * [taylor]: Taking taylor expansion of 2.0 in im 1.996 * [taylor]: Taking taylor expansion of (pow (+ re (sqrt (+ (pow re 2) (pow im 2)))) 1/6) in im 1.996 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 1.996 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 1.996 * [taylor]: Taking taylor expansion of 1/6 in im 1.996 * [taylor]: Taking taylor expansion of (log (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 1.996 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 1.996 * [taylor]: Taking taylor expansion of re in im 1.996 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.996 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.996 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.996 * [taylor]: Taking taylor expansion of re in im 1.996 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.996 * [taylor]: Taking taylor expansion of im in im 1.997 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (pow (+ re (sqrt (+ (pow re 2) (pow im 2)))) 1/6)) in re 1.997 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in re 1.997 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in re 1.997 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in re 1.997 * [taylor]: Taking taylor expansion of 1/3 in re 1.997 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in re 1.997 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.997 * [taylor]: Taking taylor expansion of 2.0 in re 2.000 * [taylor]: Taking taylor expansion of (pow (+ re (sqrt (+ (pow re 2) (pow im 2)))) 1/6) in re 2.000 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in re 2.000 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 2.000 * [taylor]: Taking taylor expansion of 1/6 in re 2.001 * [taylor]: Taking taylor expansion of (log (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 2.001 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 2.001 * [taylor]: Taking taylor expansion of re in re 2.001 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.001 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.001 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.001 * [taylor]: Taking taylor expansion of re in re 2.001 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.001 * [taylor]: Taking taylor expansion of im in re 2.001 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (pow (+ re (sqrt (+ (pow re 2) (pow im 2)))) 1/6)) in re 2.001 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in re 2.001 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in re 2.001 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in re 2.001 * [taylor]: Taking taylor expansion of 1/3 in re 2.001 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in re 2.001 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.001 * [taylor]: Taking taylor expansion of 2.0 in re 2.005 * [taylor]: Taking taylor expansion of (pow (+ re (sqrt (+ (pow re 2) (pow im 2)))) 1/6) in re 2.005 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in re 2.005 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 2.005 * [taylor]: Taking taylor expansion of 1/6 in re 2.005 * [taylor]: Taking taylor expansion of (log (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 2.005 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 2.005 * [taylor]: Taking taylor expansion of re in re 2.005 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.005 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.005 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.005 * [taylor]: Taking taylor expansion of re in re 2.005 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.005 * [taylor]: Taking taylor expansion of im in re 2.012 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (pow im 1/6)) in im 2.012 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 2.012 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 2.012 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 2.012 * [taylor]: Taking taylor expansion of 1/3 in im 2.012 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 2.012 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.012 * [taylor]: Taking taylor expansion of 2.0 in im 2.016 * [taylor]: Taking taylor expansion of (pow im 1/6) in im 2.016 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log im))) in im 2.016 * [taylor]: Taking taylor expansion of (* 1/6 (log im)) in im 2.016 * [taylor]: Taking taylor expansion of 1/6 in im 2.016 * [taylor]: Taking taylor expansion of (log im) in im 2.016 * [taylor]: Taking taylor expansion of im in im 2.022 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (sqrt 2.0) 1/3) (pow (/ 1 (pow im 5)) 1/6))) in im 2.022 * [taylor]: Taking taylor expansion of 1/6 in im 2.022 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (pow (/ 1 (pow im 5)) 1/6)) in im 2.022 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 2.022 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 2.022 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 2.022 * [taylor]: Taking taylor expansion of 1/3 in im 2.022 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 2.022 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.022 * [taylor]: Taking taylor expansion of 2.0 in im 2.025 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/6) in im 2.026 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 (pow im 5))))) in im 2.026 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 (pow im 5)))) in im 2.026 * [taylor]: Taking taylor expansion of 1/6 in im 2.026 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 2.026 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 2.026 * [taylor]: Taking taylor expansion of (pow im 5) in im 2.026 * [taylor]: Taking taylor expansion of im in im 2.042 * [taylor]: Taking taylor expansion of (* 1/72 (* (pow (sqrt 2.0) 1/3) (pow (/ 1 (pow im 11)) 1/6))) in im 2.042 * [taylor]: Taking taylor expansion of 1/72 in im 2.042 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (pow (/ 1 (pow im 11)) 1/6)) in im 2.042 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 2.042 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 2.042 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 2.042 * [taylor]: Taking taylor expansion of 1/3 in im 2.042 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 2.042 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.042 * [taylor]: Taking taylor expansion of 2.0 in im 2.046 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 11)) 1/6) in im 2.046 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 (pow im 11))))) in im 2.046 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 (pow im 11)))) in im 2.046 * [taylor]: Taking taylor expansion of 1/6 in im 2.046 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 11))) in im 2.046 * [taylor]: Taking taylor expansion of (/ 1 (pow im 11)) in im 2.046 * [taylor]: Taking taylor expansion of (pow im 11) in im 2.046 * [taylor]: Taking taylor expansion of im in im 2.053 * [approximate]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (pow (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 1/6)) in (re im) around 0 2.053 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (pow (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 1/6)) in im 2.053 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 2.053 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 2.053 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 2.053 * [taylor]: Taking taylor expansion of 1/3 in im 2.053 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 2.053 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.053 * [taylor]: Taking taylor expansion of 2.0 in im 2.057 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 1/6) in im 2.057 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 2.057 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 2.057 * [taylor]: Taking taylor expansion of 1/6 in im 2.057 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 2.057 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.057 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.057 * [taylor]: Taking taylor expansion of re in im 2.057 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.057 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.057 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.057 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.057 * [taylor]: Taking taylor expansion of im in im 2.058 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.058 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.058 * [taylor]: Taking taylor expansion of re in im 2.060 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (pow (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 1/6)) in re 2.061 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in re 2.061 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in re 2.061 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in re 2.061 * [taylor]: Taking taylor expansion of 1/3 in re 2.061 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in re 2.061 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.061 * [taylor]: Taking taylor expansion of 2.0 in re 2.064 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 1/6) in re 2.064 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re 2.064 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 2.064 * [taylor]: Taking taylor expansion of 1/6 in re 2.064 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 2.064 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.064 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.064 * [taylor]: Taking taylor expansion of re in re 2.065 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.065 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.065 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.065 * [taylor]: Taking taylor expansion of im in re 2.065 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.065 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.065 * [taylor]: Taking taylor expansion of re in re 2.069 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (pow (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 1/6)) in re 2.069 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in re 2.069 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in re 2.069 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in re 2.069 * [taylor]: Taking taylor expansion of 1/3 in re 2.069 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in re 2.069 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.069 * [taylor]: Taking taylor expansion of 2.0 in re 2.073 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 1/6) in re 2.073 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re 2.073 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 2.073 * [taylor]: Taking taylor expansion of 1/6 in re 2.073 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 2.073 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.073 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.073 * [taylor]: Taking taylor expansion of re in re 2.073 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.073 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.073 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.073 * [taylor]: Taking taylor expansion of im in re 2.073 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.073 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.073 * [taylor]: Taking taylor expansion of re in re 2.078 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (exp (* 1/6 (- (log 2) (log re))))) in im 2.078 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 2.078 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 2.078 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 2.078 * [taylor]: Taking taylor expansion of 1/3 in im 2.078 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 2.078 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.078 * [taylor]: Taking taylor expansion of 2.0 in im 2.082 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log 2) (log re)))) in im 2.082 * [taylor]: Taking taylor expansion of (* 1/6 (- (log 2) (log re))) in im 2.082 * [taylor]: Taking taylor expansion of 1/6 in im 2.082 * [taylor]: Taking taylor expansion of (- (log 2) (log re)) in im 2.082 * [taylor]: Taking taylor expansion of (log 2) in im 2.082 * [taylor]: Taking taylor expansion of 2 in im 2.082 * [taylor]: Taking taylor expansion of (log re) in im 2.082 * [taylor]: Taking taylor expansion of re in im 2.097 * [taylor]: Taking taylor expansion of 0 in im 2.115 * [taylor]: Taking taylor expansion of (* 1/24 (* (pow (sqrt 2.0) 1/3) (/ (exp (* 1/6 (- (log 2) (log re)))) (pow im 2)))) in im 2.115 * [taylor]: Taking taylor expansion of 1/24 in im 2.115 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (/ (exp (* 1/6 (- (log 2) (log re)))) (pow im 2))) in im 2.115 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 2.115 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 2.115 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 2.115 * [taylor]: Taking taylor expansion of 1/3 in im 2.115 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 2.115 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.115 * [taylor]: Taking taylor expansion of 2.0 in im 2.119 * [taylor]: Taking taylor expansion of (/ (exp (* 1/6 (- (log 2) (log re)))) (pow im 2)) in im 2.119 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log 2) (log re)))) in im 2.119 * [taylor]: Taking taylor expansion of (* 1/6 (- (log 2) (log re))) in im 2.119 * [taylor]: Taking taylor expansion of 1/6 in im 2.119 * [taylor]: Taking taylor expansion of (- (log 2) (log re)) in im 2.119 * [taylor]: Taking taylor expansion of (log 2) in im 2.119 * [taylor]: Taking taylor expansion of 2 in im 2.119 * [taylor]: Taking taylor expansion of (log re) in im 2.119 * [taylor]: Taking taylor expansion of re in im 2.120 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.120 * [taylor]: Taking taylor expansion of im in im 2.167 * [taylor]: Taking taylor expansion of 0 in im 2.168 * [approximate]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (pow (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 1/6)) in (re im) around 0 2.168 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (pow (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 1/6)) in im 2.168 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 2.168 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 2.168 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 2.168 * [taylor]: Taking taylor expansion of 1/3 in im 2.168 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 2.168 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.168 * [taylor]: Taking taylor expansion of 2.0 in im 2.178 * [taylor]: Taking taylor expansion of (pow (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 1/6) in im 2.178 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 2.178 * [taylor]: Taking taylor expansion of (* 1/6 (log (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 2.178 * [taylor]: Taking taylor expansion of 1/6 in im 2.178 * [taylor]: Taking taylor expansion of (log (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 2.178 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 2.178 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.178 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.178 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.178 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.178 * [taylor]: Taking taylor expansion of im in im 2.179 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.179 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.179 * [taylor]: Taking taylor expansion of re in im 2.181 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.181 * [taylor]: Taking taylor expansion of re in im 2.182 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (pow (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 1/6)) in re 2.182 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in re 2.182 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in re 2.182 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in re 2.182 * [taylor]: Taking taylor expansion of 1/3 in re 2.182 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in re 2.182 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.182 * [taylor]: Taking taylor expansion of 2.0 in re 2.185 * [taylor]: Taking taylor expansion of (pow (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 1/6) in re 2.185 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in re 2.185 * [taylor]: Taking taylor expansion of (* 1/6 (log (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 2.185 * [taylor]: Taking taylor expansion of 1/6 in re 2.185 * [taylor]: Taking taylor expansion of (log (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 2.185 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 2.185 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.185 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.185 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.185 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.186 * [taylor]: Taking taylor expansion of im in re 2.186 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.186 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.186 * [taylor]: Taking taylor expansion of re in re 2.188 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.188 * [taylor]: Taking taylor expansion of re in re 2.193 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (pow (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 1/6)) in re 2.193 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in re 2.193 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in re 2.193 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in re 2.193 * [taylor]: Taking taylor expansion of 1/3 in re 2.193 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in re 2.193 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.193 * [taylor]: Taking taylor expansion of 2.0 in re 2.197 * [taylor]: Taking taylor expansion of (pow (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 1/6) in re 2.197 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in re 2.197 * [taylor]: Taking taylor expansion of (* 1/6 (log (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 2.197 * [taylor]: Taking taylor expansion of 1/6 in re 2.197 * [taylor]: Taking taylor expansion of (log (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 2.197 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 2.197 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.197 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.197 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.197 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.197 * [taylor]: Taking taylor expansion of im in re 2.197 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.197 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.197 * [taylor]: Taking taylor expansion of re in re 2.200 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.200 * [taylor]: Taking taylor expansion of re in re 2.206 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (exp (* 1/6 (+ (log (/ 1/2 (pow im 2))) (log re))))) in im 2.206 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 2.206 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 2.206 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 2.206 * [taylor]: Taking taylor expansion of 1/3 in im 2.206 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 2.206 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.206 * [taylor]: Taking taylor expansion of 2.0 in im 2.210 * [taylor]: Taking taylor expansion of (exp (* 1/6 (+ (log (/ 1/2 (pow im 2))) (log re)))) in im 2.210 * [taylor]: Taking taylor expansion of (* 1/6 (+ (log (/ 1/2 (pow im 2))) (log re))) in im 2.210 * [taylor]: Taking taylor expansion of 1/6 in im 2.210 * [taylor]: Taking taylor expansion of (+ (log (/ 1/2 (pow im 2))) (log re)) in im 2.210 * [taylor]: Taking taylor expansion of (log (/ 1/2 (pow im 2))) in im 2.210 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.210 * [taylor]: Taking taylor expansion of 1/2 in im 2.210 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.210 * [taylor]: Taking taylor expansion of im in im 2.211 * [taylor]: Taking taylor expansion of (log re) in im 2.211 * [taylor]: Taking taylor expansion of re in im 2.222 * [taylor]: Taking taylor expansion of 0 in im 2.240 * [taylor]: Taking taylor expansion of (- (* 1/24 (* (pow (sqrt 2.0) 1/3) (/ (exp (* 1/6 (+ (log (/ 1/2 (pow im 2))) (log re)))) (pow im 2))))) in im 2.240 * [taylor]: Taking taylor expansion of (* 1/24 (* (pow (sqrt 2.0) 1/3) (/ (exp (* 1/6 (+ (log (/ 1/2 (pow im 2))) (log re)))) (pow im 2)))) in im 2.240 * [taylor]: Taking taylor expansion of 1/24 in im 2.240 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (/ (exp (* 1/6 (+ (log (/ 1/2 (pow im 2))) (log re)))) (pow im 2))) in im 2.240 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 2.240 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 2.240 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 2.240 * [taylor]: Taking taylor expansion of 1/3 in im 2.241 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 2.241 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.241 * [taylor]: Taking taylor expansion of 2.0 in im 2.244 * [taylor]: Taking taylor expansion of (/ (exp (* 1/6 (+ (log (/ 1/2 (pow im 2))) (log re)))) (pow im 2)) in im 2.244 * [taylor]: Taking taylor expansion of (exp (* 1/6 (+ (log (/ 1/2 (pow im 2))) (log re)))) in im 2.244 * [taylor]: Taking taylor expansion of (* 1/6 (+ (log (/ 1/2 (pow im 2))) (log re))) in im 2.244 * [taylor]: Taking taylor expansion of 1/6 in im 2.244 * [taylor]: Taking taylor expansion of (+ (log (/ 1/2 (pow im 2))) (log re)) in im 2.244 * [taylor]: Taking taylor expansion of (log (/ 1/2 (pow im 2))) in im 2.244 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.244 * [taylor]: Taking taylor expansion of 1/2 in im 2.244 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.244 * [taylor]: Taking taylor expansion of im in im 2.245 * [taylor]: Taking taylor expansion of (log re) in im 2.245 * [taylor]: Taking taylor expansion of re in im 2.247 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.247 * [taylor]: Taking taylor expansion of im in im 2.303 * [taylor]: Taking taylor expansion of 0 in im 2.304 * * * [progress]: simplifying candidates 2.305 * [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)))) (log (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (exp (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) (cbrt (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt 2.0)) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt 1) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))) (cbrt (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (* (cbrt (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) (cbrt (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))))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) im re (* -1 re) im re (* -1 re) im re (* -1 re) (+ (* 1/72 (* (pow (sqrt 2.0) 1/3) (* (pow (/ 1 (pow im 11)) 1/6) (pow re 2)))) (+ (* 1/6 (* (pow (sqrt 2.0) 1/3) (* (pow (/ 1 (pow im 5)) 1/6) re))) (* (pow (sqrt 2.0) 1/3) (pow im 1/6)))) (* (pow (sqrt 2.0) 1/3) (exp (* 1/6 (- (log 2) (log (/ 1 re)))))) (* (exp (* 1/6 (- (+ (log (/ -1 re)) (log 1/2)) (* 2 (log (/ -1 im)))))) (pow (sqrt 2.0) 1/3)) 2.309 * * [simplify]: iteration 0 : 118 enodes (cost 1065 ) 2.336 * * [simplify]: iteration 1 : 267 enodes (cost 925 ) 2.393 * * [simplify]: iteration 2 : 719 enodes (cost 866 ) 2.608 * * [simplify]: iteration 3 : 2208 enodes (cost 845 ) 3.245 * * [simplify]: iteration done : 5001 enodes (cost 845 ) 3.246 * [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 im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (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 im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (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 im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (exp (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) (cbrt (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt 2.0)) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) 1 (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))) (cbrt (sqrt (+ (* re (+ (- re (sqrt (+ (* re re) (* im im)))) re)) (* im im)))) (cbrt (sqrt (* (+ (* im im) 0) 2.0))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (* (cbrt (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))) (cbrt (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) im re (- re) im re (- re) im re (- re) (+ (* (cbrt (sqrt 2.0)) (+ (pow im 1/6) (* 1/72 (* (pow (/ 1 (pow im 11)) 1/6) (pow re 2))))) (* (* (* (pow (/ 1 (pow im 5)) 1/6) re) (cbrt (sqrt 2.0))) 1/6)) (* (exp (* (+ (log 2) (log re)) 1/6)) (cbrt (sqrt 2.0))) (* (exp (* 1/6 (- (+ (log (/ -1 re)) (log 1/2)) (* 2 (log (/ -1 im)))))) (cbrt (sqrt 2.0))) 3.246 * * * [progress]: adding candidates to table 3.531 * * [progress]: iteration 3 / 4 3.531 * * * [progress]: picking best candidate 3.547 * * * * [pick]: Picked # 3.547 * * * [progress]: localizing error 3.570 * * * [progress]: generating rewritten candidates 3.570 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2 1 1 1 2 1) 3.574 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 1 1 1 2 1) 3.577 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 2 1) 3.581 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 1 2 1) 3.586 * * * [progress]: generating series expansions 3.586 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2 1 1 1 2 1) 3.586 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 3.586 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 3.586 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 3.586 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.586 * [taylor]: Taking taylor expansion of re in im 3.586 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.586 * [taylor]: Taking taylor expansion of im in im 3.587 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.587 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.587 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.587 * [taylor]: Taking taylor expansion of re in re 3.587 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.587 * [taylor]: Taking taylor expansion of im in re 3.588 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.588 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.588 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.588 * [taylor]: Taking taylor expansion of re in re 3.588 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.588 * [taylor]: Taking taylor expansion of im in re 3.588 * [taylor]: Taking taylor expansion of im in im 3.588 * [taylor]: Taking taylor expansion of 0 in im 3.590 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.590 * [taylor]: Taking taylor expansion of 1/2 in im 3.590 * [taylor]: Taking taylor expansion of im in im 3.592 * [taylor]: Taking taylor expansion of 0 in im 3.592 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.592 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.592 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.592 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.592 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.593 * [taylor]: Taking taylor expansion of im in im 3.593 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.593 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.593 * [taylor]: Taking taylor expansion of re in im 3.595 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.595 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.595 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.595 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.596 * [taylor]: Taking taylor expansion of im in re 3.596 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.596 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.596 * [taylor]: Taking taylor expansion of re in re 3.598 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.598 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.598 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.598 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.598 * [taylor]: Taking taylor expansion of im in re 3.598 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.598 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.598 * [taylor]: Taking taylor expansion of re in re 3.601 * [taylor]: Taking taylor expansion of 1 in im 3.601 * [taylor]: Taking taylor expansion of 0 in im 3.603 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.603 * [taylor]: Taking taylor expansion of 1/2 in im 3.603 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.603 * [taylor]: Taking taylor expansion of im in im 3.606 * [taylor]: Taking taylor expansion of 0 in im 3.608 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.608 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.608 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.608 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.608 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.608 * [taylor]: Taking taylor expansion of im in im 3.608 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.608 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.608 * [taylor]: Taking taylor expansion of re in im 3.611 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.611 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.611 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.611 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.611 * [taylor]: Taking taylor expansion of im in re 3.611 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.611 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.611 * [taylor]: Taking taylor expansion of re in re 3.613 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.613 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.613 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.613 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.613 * [taylor]: Taking taylor expansion of im in re 3.613 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.613 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.613 * [taylor]: Taking taylor expansion of re in re 3.616 * [taylor]: Taking taylor expansion of 1 in im 3.616 * [taylor]: Taking taylor expansion of 0 in im 3.618 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.618 * [taylor]: Taking taylor expansion of 1/2 in im 3.618 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.618 * [taylor]: Taking taylor expansion of im in im 3.621 * [taylor]: Taking taylor expansion of 0 in im 3.622 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 1 1 1 2 1) 3.623 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 3.623 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 3.623 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 3.623 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.623 * [taylor]: Taking taylor expansion of re in im 3.623 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.623 * [taylor]: Taking taylor expansion of im in im 3.623 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.623 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.623 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.623 * [taylor]: Taking taylor expansion of re in re 3.623 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.623 * [taylor]: Taking taylor expansion of im in re 3.624 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.624 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.624 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.624 * [taylor]: Taking taylor expansion of re in re 3.624 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.624 * [taylor]: Taking taylor expansion of im in re 3.625 * [taylor]: Taking taylor expansion of im in im 3.625 * [taylor]: Taking taylor expansion of 0 in im 3.626 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.626 * [taylor]: Taking taylor expansion of 1/2 in im 3.626 * [taylor]: Taking taylor expansion of im in im 3.628 * [taylor]: Taking taylor expansion of 0 in im 3.629 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.629 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.629 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.629 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.629 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.629 * [taylor]: Taking taylor expansion of im in im 3.629 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.629 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.629 * [taylor]: Taking taylor expansion of re in im 3.637 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.637 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.637 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.637 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.637 * [taylor]: Taking taylor expansion of im in re 3.637 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.637 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.637 * [taylor]: Taking taylor expansion of re in re 3.639 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.639 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.640 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.640 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.640 * [taylor]: Taking taylor expansion of im in re 3.640 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.640 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.640 * [taylor]: Taking taylor expansion of re in re 3.642 * [taylor]: Taking taylor expansion of 1 in im 3.642 * [taylor]: Taking taylor expansion of 0 in im 3.644 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.644 * [taylor]: Taking taylor expansion of 1/2 in im 3.644 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.644 * [taylor]: Taking taylor expansion of im in im 3.648 * [taylor]: Taking taylor expansion of 0 in im 3.649 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.649 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.649 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.649 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.649 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.649 * [taylor]: Taking taylor expansion of im in im 3.650 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.650 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.650 * [taylor]: Taking taylor expansion of re in im 3.652 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.652 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.652 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.652 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.652 * [taylor]: Taking taylor expansion of im in re 3.652 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.652 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.652 * [taylor]: Taking taylor expansion of re in re 3.655 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.655 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.655 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.655 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.655 * [taylor]: Taking taylor expansion of im in re 3.655 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.655 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.655 * [taylor]: Taking taylor expansion of re in re 3.657 * [taylor]: Taking taylor expansion of 1 in im 3.657 * [taylor]: Taking taylor expansion of 0 in im 3.659 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.660 * [taylor]: Taking taylor expansion of 1/2 in im 3.660 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.660 * [taylor]: Taking taylor expansion of im in im 3.663 * [taylor]: Taking taylor expansion of 0 in im 3.664 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 2 1) 3.664 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 3.664 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 3.664 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 3.664 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.664 * [taylor]: Taking taylor expansion of re in im 3.664 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.664 * [taylor]: Taking taylor expansion of im in im 3.665 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.665 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.665 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.665 * [taylor]: Taking taylor expansion of re in re 3.665 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.665 * [taylor]: Taking taylor expansion of im in re 3.665 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.665 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.665 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.665 * [taylor]: Taking taylor expansion of re in re 3.665 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.665 * [taylor]: Taking taylor expansion of im in re 3.666 * [taylor]: Taking taylor expansion of im in im 3.666 * [taylor]: Taking taylor expansion of 0 in im 3.667 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.667 * [taylor]: Taking taylor expansion of 1/2 in im 3.667 * [taylor]: Taking taylor expansion of im in im 3.669 * [taylor]: Taking taylor expansion of 0 in im 3.670 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.670 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.670 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.670 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.670 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.670 * [taylor]: Taking taylor expansion of im in im 3.671 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.671 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.671 * [taylor]: Taking taylor expansion of re in im 3.673 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.673 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.673 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.673 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.673 * [taylor]: Taking taylor expansion of im in re 3.673 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.673 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.673 * [taylor]: Taking taylor expansion of re in re 3.676 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.676 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.676 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.676 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.676 * [taylor]: Taking taylor expansion of im in re 3.676 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.676 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.676 * [taylor]: Taking taylor expansion of re in re 3.679 * [taylor]: Taking taylor expansion of 1 in im 3.679 * [taylor]: Taking taylor expansion of 0 in im 3.681 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.681 * [taylor]: Taking taylor expansion of 1/2 in im 3.681 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.681 * [taylor]: Taking taylor expansion of im in im 3.684 * [taylor]: Taking taylor expansion of 0 in im 3.686 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.686 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.686 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.686 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.686 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.686 * [taylor]: Taking taylor expansion of im in im 3.686 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.686 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.686 * [taylor]: Taking taylor expansion of re in im 3.688 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.688 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.688 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.688 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.688 * [taylor]: Taking taylor expansion of im in re 3.688 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.688 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.689 * [taylor]: Taking taylor expansion of re in re 3.691 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.691 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.691 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.691 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.691 * [taylor]: Taking taylor expansion of im in re 3.691 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.691 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.691 * [taylor]: Taking taylor expansion of re in re 3.694 * [taylor]: Taking taylor expansion of 1 in im 3.694 * [taylor]: Taking taylor expansion of 0 in im 3.696 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.696 * [taylor]: Taking taylor expansion of 1/2 in im 3.696 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.696 * [taylor]: Taking taylor expansion of im in im 3.699 * [taylor]: Taking taylor expansion of 0 in im 3.700 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 1 2 1) 3.701 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 3.701 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 3.701 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 3.701 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.701 * [taylor]: Taking taylor expansion of re in im 3.701 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.701 * [taylor]: Taking taylor expansion of im in im 3.701 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.701 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.701 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.701 * [taylor]: Taking taylor expansion of re in re 3.701 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.701 * [taylor]: Taking taylor expansion of im in re 3.702 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.702 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.702 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.702 * [taylor]: Taking taylor expansion of re in re 3.702 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.702 * [taylor]: Taking taylor expansion of im in re 3.702 * [taylor]: Taking taylor expansion of im in im 3.702 * [taylor]: Taking taylor expansion of 0 in im 3.704 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.704 * [taylor]: Taking taylor expansion of 1/2 in im 3.704 * [taylor]: Taking taylor expansion of im in im 3.706 * [taylor]: Taking taylor expansion of 0 in im 3.707 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.707 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.707 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.707 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.707 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.707 * [taylor]: Taking taylor expansion of im in im 3.707 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.707 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.707 * [taylor]: Taking taylor expansion of re in im 3.709 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.709 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.709 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.709 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.709 * [taylor]: Taking taylor expansion of im in re 3.710 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.710 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.710 * [taylor]: Taking taylor expansion of re in re 3.712 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.712 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.712 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.712 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.712 * [taylor]: Taking taylor expansion of im in re 3.712 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.712 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.712 * [taylor]: Taking taylor expansion of re in re 3.720 * [taylor]: Taking taylor expansion of 1 in im 3.720 * [taylor]: Taking taylor expansion of 0 in im 3.722 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.722 * [taylor]: Taking taylor expansion of 1/2 in im 3.722 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.722 * [taylor]: Taking taylor expansion of im in im 3.725 * [taylor]: Taking taylor expansion of 0 in im 3.727 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.727 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.727 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.727 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.727 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.727 * [taylor]: Taking taylor expansion of im in im 3.727 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.727 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.728 * [taylor]: Taking taylor expansion of re in im 3.730 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.730 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.730 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.730 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.730 * [taylor]: Taking taylor expansion of im in re 3.730 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.730 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.730 * [taylor]: Taking taylor expansion of re in re 3.732 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.732 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.732 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.732 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.732 * [taylor]: Taking taylor expansion of im in re 3.732 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.732 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.733 * [taylor]: Taking taylor expansion of re in re 3.735 * [taylor]: Taking taylor expansion of 1 in im 3.735 * [taylor]: Taking taylor expansion of 0 in im 3.737 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.737 * [taylor]: Taking taylor expansion of 1/2 in im 3.737 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.737 * [taylor]: Taking taylor expansion of im in im 3.740 * [taylor]: Taking taylor expansion of 0 in im 3.742 * * * [progress]: simplifying candidates 3.743 * [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)))) (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)))) im re (* -1 re) im re (* -1 re) im re (* -1 re) im re (* -1 re) 3.745 * * [simplify]: iteration 0 : 38 enodes (cost 852 ) 3.751 * * [simplify]: iteration 1 : 91 enodes (cost 744 ) 3.766 * * [simplify]: iteration 2 : 207 enodes (cost 680 ) 3.813 * * [simplify]: iteration 3 : 459 enodes (cost 656 ) 3.928 * * [simplify]: iteration 4 : 1009 enodes (cost 656 ) 4.379 * * [simplify]: iteration 5 : 2577 enodes (cost 656 ) 5.515 * * [simplify]: iteration done : 5000 enodes (cost 656 ) 5.515 * [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 im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (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 im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (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 im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (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 im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) im re (- re) im re (- re) im re (- re) im re (- re) 5.516 * * * [progress]: adding candidates to table 5.856 * * [progress]: iteration 4 / 4 5.856 * * * [progress]: picking best candidate 5.871 * * * * [pick]: Picked # 5.871 * * * [progress]: localizing error 5.885 * * * [progress]: generating rewritten candidates 5.885 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 1 1) 5.889 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 5.912 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1) 5.917 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1 1 1) 5.921 * * * [progress]: generating series expansions 5.921 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 1 1) 5.921 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 5.921 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 5.921 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 5.921 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.921 * [taylor]: Taking taylor expansion of re in im 5.921 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.921 * [taylor]: Taking taylor expansion of im in im 5.922 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 5.922 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 5.922 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.922 * [taylor]: Taking taylor expansion of re in re 5.922 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.922 * [taylor]: Taking taylor expansion of im in re 5.923 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 5.923 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 5.923 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.923 * [taylor]: Taking taylor expansion of re in re 5.923 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.923 * [taylor]: Taking taylor expansion of im in re 5.923 * [taylor]: Taking taylor expansion of im in im 5.923 * [taylor]: Taking taylor expansion of 0 in im 5.925 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 5.925 * [taylor]: Taking taylor expansion of 1/2 in im 5.925 * [taylor]: Taking taylor expansion of im in im 5.927 * [taylor]: Taking taylor expansion of 0 in im 5.928 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 5.928 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 5.928 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 5.928 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.928 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.928 * [taylor]: Taking taylor expansion of im in im 5.928 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.928 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.928 * [taylor]: Taking taylor expansion of re in im 5.930 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.930 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.930 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.930 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.931 * [taylor]: Taking taylor expansion of im in re 5.931 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.931 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.931 * [taylor]: Taking taylor expansion of re in re 5.933 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.933 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.933 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.933 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.933 * [taylor]: Taking taylor expansion of im in re 5.933 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.933 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.933 * [taylor]: Taking taylor expansion of re in re 5.936 * [taylor]: Taking taylor expansion of 1 in im 5.936 * [taylor]: Taking taylor expansion of 0 in im 5.938 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.938 * [taylor]: Taking taylor expansion of 1/2 in im 5.938 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.938 * [taylor]: Taking taylor expansion of im in im 5.941 * [taylor]: Taking taylor expansion of 0 in im 5.943 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 5.943 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 5.943 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 5.943 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.943 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.943 * [taylor]: Taking taylor expansion of im in im 5.943 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.943 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.943 * [taylor]: Taking taylor expansion of re in im 5.945 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.945 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.946 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.946 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.946 * [taylor]: Taking taylor expansion of im in re 5.946 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.946 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.946 * [taylor]: Taking taylor expansion of re in re 5.948 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.948 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.948 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.948 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.948 * [taylor]: Taking taylor expansion of im in re 5.948 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.948 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.948 * [taylor]: Taking taylor expansion of re in re 5.954 * [taylor]: Taking taylor expansion of 1 in im 5.954 * [taylor]: Taking taylor expansion of 0 in im 5.956 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.956 * [taylor]: Taking taylor expansion of 1/2 in im 5.956 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.956 * [taylor]: Taking taylor expansion of im in im 5.960 * [taylor]: Taking taylor expansion of 0 in im 5.961 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 5.961 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 5.961 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 5.961 * [taylor]: Taking taylor expansion of re in im 5.961 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 5.961 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 5.961 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.961 * [taylor]: Taking taylor expansion of re in im 5.961 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.961 * [taylor]: Taking taylor expansion of im in im 5.962 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 5.962 * [taylor]: Taking taylor expansion of re in re 5.962 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 5.962 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 5.962 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.962 * [taylor]: Taking taylor expansion of re in re 5.962 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.962 * [taylor]: Taking taylor expansion of im in re 5.962 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 5.962 * [taylor]: Taking taylor expansion of re in re 5.962 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 5.962 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 5.962 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.962 * [taylor]: Taking taylor expansion of re in re 5.963 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.963 * [taylor]: Taking taylor expansion of im in re 5.963 * [taylor]: Taking taylor expansion of im in im 5.963 * [taylor]: Taking taylor expansion of 1 in im 5.965 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 5.965 * [taylor]: Taking taylor expansion of 1/2 in im 5.965 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.965 * [taylor]: Taking taylor expansion of im in im 5.967 * [taylor]: Taking taylor expansion of 0 in im 5.969 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 5.969 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 5.969 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.969 * [taylor]: Taking taylor expansion of re in im 5.969 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 5.969 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 5.969 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.969 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.969 * [taylor]: Taking taylor expansion of im in im 5.969 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.969 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.969 * [taylor]: Taking taylor expansion of re in im 5.972 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 5.972 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.972 * [taylor]: Taking taylor expansion of re in re 5.972 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.972 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.972 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.972 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.972 * [taylor]: Taking taylor expansion of im in re 5.972 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.972 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.972 * [taylor]: Taking taylor expansion of re in re 5.975 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 5.975 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.975 * [taylor]: Taking taylor expansion of re in re 5.975 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.975 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.975 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.975 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.975 * [taylor]: Taking taylor expansion of im in re 5.975 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.975 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.975 * [taylor]: Taking taylor expansion of re in re 5.978 * [taylor]: Taking taylor expansion of 2 in im 5.979 * [taylor]: Taking taylor expansion of 0 in im 5.981 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 5.981 * [taylor]: Taking taylor expansion of 1/2 in im 5.981 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.981 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.982 * [taylor]: Taking taylor expansion of im in im 5.986 * [taylor]: Taking taylor expansion of 0 in im 5.988 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 5.988 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 5.988 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 5.988 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 5.988 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.988 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.988 * [taylor]: Taking taylor expansion of im in im 5.989 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.989 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.989 * [taylor]: Taking taylor expansion of re in im 5.991 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.991 * [taylor]: Taking taylor expansion of re in im 5.991 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 5.991 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.991 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.991 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.991 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.991 * [taylor]: Taking taylor expansion of im in re 5.991 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.991 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.991 * [taylor]: Taking taylor expansion of re in re 5.994 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.994 * [taylor]: Taking taylor expansion of re in re 5.994 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 5.994 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.994 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.994 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.994 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.994 * [taylor]: Taking taylor expansion of im in re 5.994 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.994 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.994 * [taylor]: Taking taylor expansion of re in re 5.997 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.997 * [taylor]: Taking taylor expansion of re in re 5.998 * [taylor]: Taking taylor expansion of 0 in im 5.999 * [taylor]: Taking taylor expansion of 0 in im 6.002 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 6.002 * [taylor]: Taking taylor expansion of 1/2 in im 6.002 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.002 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.002 * [taylor]: Taking taylor expansion of im in im 6.006 * [taylor]: Taking taylor expansion of 0 in im 6.008 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1) 6.008 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 6.008 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 6.008 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 6.008 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.008 * [taylor]: Taking taylor expansion of re in im 6.008 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.008 * [taylor]: Taking taylor expansion of im in im 6.009 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 6.009 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 6.009 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.009 * [taylor]: Taking taylor expansion of re in re 6.009 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.009 * [taylor]: Taking taylor expansion of im in re 6.009 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 6.009 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 6.009 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.009 * [taylor]: Taking taylor expansion of re in re 6.010 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.010 * [taylor]: Taking taylor expansion of im in re 6.010 * [taylor]: Taking taylor expansion of im in im 6.010 * [taylor]: Taking taylor expansion of 0 in im 6.011 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 6.012 * [taylor]: Taking taylor expansion of 1/2 in im 6.012 * [taylor]: Taking taylor expansion of im in im 6.013 * [taylor]: Taking taylor expansion of 0 in im 6.014 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 6.014 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 6.014 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 6.014 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.015 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.015 * [taylor]: Taking taylor expansion of im in im 6.015 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.015 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.015 * [taylor]: Taking taylor expansion of re in im 6.017 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.017 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.017 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.017 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.017 * [taylor]: Taking taylor expansion of im in re 6.017 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.017 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.017 * [taylor]: Taking taylor expansion of re in re 6.020 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.020 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.020 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.020 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.020 * [taylor]: Taking taylor expansion of im in re 6.020 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.020 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.020 * [taylor]: Taking taylor expansion of re in re 6.023 * [taylor]: Taking taylor expansion of 1 in im 6.023 * [taylor]: Taking taylor expansion of 0 in im 6.025 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.025 * [taylor]: Taking taylor expansion of 1/2 in im 6.025 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.025 * [taylor]: Taking taylor expansion of im in im 6.028 * [taylor]: Taking taylor expansion of 0 in im 6.030 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 6.030 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 6.030 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 6.030 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.030 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.030 * [taylor]: Taking taylor expansion of im in im 6.030 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.030 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.030 * [taylor]: Taking taylor expansion of re in im 6.032 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.032 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.032 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.032 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.032 * [taylor]: Taking taylor expansion of im in re 6.032 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.032 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.033 * [taylor]: Taking taylor expansion of re in re 6.037 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.038 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.038 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.038 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.038 * [taylor]: Taking taylor expansion of im in re 6.038 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.038 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.038 * [taylor]: Taking taylor expansion of re in re 6.040 * [taylor]: Taking taylor expansion of 1 in im 6.040 * [taylor]: Taking taylor expansion of 0 in im 6.042 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.042 * [taylor]: Taking taylor expansion of 1/2 in im 6.043 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.043 * [taylor]: Taking taylor expansion of im in im 6.046 * [taylor]: Taking taylor expansion of 0 in im 6.047 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1 1 1) 6.047 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 6.047 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 6.047 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.047 * [taylor]: Taking taylor expansion of re in im 6.047 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.047 * [taylor]: Taking taylor expansion of im in im 6.047 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 6.047 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.047 * [taylor]: Taking taylor expansion of re in re 6.047 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.048 * [taylor]: Taking taylor expansion of im in re 6.048 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 6.048 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.048 * [taylor]: Taking taylor expansion of re in re 6.048 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.048 * [taylor]: Taking taylor expansion of im in re 6.048 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.048 * [taylor]: Taking taylor expansion of im in im 6.048 * [taylor]: Taking taylor expansion of 0 in im 6.049 * [taylor]: Taking taylor expansion of 1 in im 6.050 * [taylor]: Taking taylor expansion of 0 in im 6.052 * [taylor]: Taking taylor expansion of 0 in im 6.053 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 6.053 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 6.053 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.053 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.053 * [taylor]: Taking taylor expansion of im in im 6.053 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.053 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.053 * [taylor]: Taking taylor expansion of re in im 6.053 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.053 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.053 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.053 * [taylor]: Taking taylor expansion of im in re 6.054 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.054 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.054 * [taylor]: Taking taylor expansion of re in re 6.054 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.054 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.054 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.054 * [taylor]: Taking taylor expansion of im in re 6.054 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.054 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.054 * [taylor]: Taking taylor expansion of re in re 6.055 * [taylor]: Taking taylor expansion of 1 in im 6.056 * [taylor]: Taking taylor expansion of 0 in im 6.057 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.057 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.057 * [taylor]: Taking taylor expansion of im in im 6.059 * [taylor]: Taking taylor expansion of 0 in im 6.062 * [taylor]: Taking taylor expansion of 0 in im 6.064 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 6.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 6.064 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.064 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.064 * [taylor]: Taking taylor expansion of im in im 6.064 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.064 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.064 * [taylor]: Taking taylor expansion of re in im 6.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.064 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.064 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.064 * [taylor]: Taking taylor expansion of im in re 6.065 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.065 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.065 * [taylor]: Taking taylor expansion of re in re 6.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.065 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.065 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.065 * [taylor]: Taking taylor expansion of im in re 6.065 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.065 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.065 * [taylor]: Taking taylor expansion of re in re 6.066 * [taylor]: Taking taylor expansion of 1 in im 6.067 * [taylor]: Taking taylor expansion of 0 in im 6.068 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.068 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.068 * [taylor]: Taking taylor expansion of im in im 6.070 * [taylor]: Taking taylor expansion of 0 in im 6.073 * [taylor]: Taking taylor expansion of 0 in im 6.075 * * * [progress]: simplifying candidates 6.076 * [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 (exp (log (sqrt (+ (* re re) (* im im)))))) (exp re)) (log (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) (exp (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) (* (cbrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) (* (* (+ (exp (log (sqrt (+ (* re re) (* im im))))) re) (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) (sqrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) (sqrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) (+ (pow (exp (log (sqrt (+ (* re re) (* im im))))) 3) (pow re 3)) (+ (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (- (* re re) (* (exp (log (sqrt (+ (* re re) (* im im))))) re))) (- (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (* re re)) (- (exp (log (sqrt (+ (* re re) (* im im))))) re) (+ (exp (log (sqrt (+ (* re re) (* im im))))) re) (exp 1/2) (exp 1) (exp (/ 1 2)) (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (exp (sqrt (log (sqrt (+ (* re re) (* im im)))))) (exp 1) (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) (exp (log (sqrt (cbrt (+ (* re re) (* im im)))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt 1))) (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log 1)) (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (exp (log (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (exp (log (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (exp (log (sqrt (- (* re re) (* im im))))) (log (exp (log (sqrt (+ (* re re) (* im im)))))) (exp (exp (log (sqrt (+ (* re re) (* im im)))))) (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (* (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) im re (* -1 re) (+ re im) (* 2 re) 0 im re (* -1 re) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 6.079 * * [simplify]: iteration 0 : 108 enodes (cost 993 ) 6.098 * * [simplify]: iteration 1 : 222 enodes (cost 795 ) 6.142 * * [simplify]: iteration 2 : 619 enodes (cost 707 ) 6.383 * * [simplify]: iteration 3 : 2015 enodes (cost 699 ) 7.111 * * [simplify]: iteration done : 5001 enodes (cost 699 ) 7.112 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (exp (* 2 (log (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 im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (exp (+ re (sqrt (+ (* re re) (* im im))))) (log (+ re (sqrt (+ (* re re) (* im im))))) (exp (+ re (sqrt (+ (* re re) (* im im))))) (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im)))))) (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (pow (+ re (sqrt (+ (* re re) (* im im)))) 3) (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* re (+ (- re (sqrt (+ (* re re) (* im im)))) re)) (pow im 2)) (+ 0 (pow im 2)) (- (sqrt (+ (* re re) (* im im))) re) (+ re (sqrt (+ (* re re) (* im im)))) (exp 1/2) E (exp 1/2) (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (exp (sqrt (log (sqrt (+ (* re re) (* im im)))))) E (exp (* 2 (log (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im)))) (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 (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (exp (* 2 (log (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (exp (+ (* re re) (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (pow (+ (* re re) (* im im)) 3) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow im 6) (pow re 6)) (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)) (- (pow re 4) (pow im 4)) (- (* re re) (* im im)) im re (- re) (+ re im) (* 2 re) 0 im re (- re) (+ (* re re) (* im im)) (+ (* re re) (* im im)) (+ (* re re) (* im im)) 7.112 * * * [progress]: adding candidates to table 7.301 * [progress]: [Phase 3 of 3] Extracting. 7.301 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 7.303 * * * [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) 7.303 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # # # #) 7.347 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # #) 7.385 * * * * [regimes]: Trying to branch on (+ (sqrt (+ (* re re) (* im im))) re) from (# # # # # # # # # #) 7.432 * * * * [regimes]: Trying to branch on (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) from (# # # # # # # # # #) 7.482 * * * * [regimes]: Trying to branch on (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) from (# # # # # # # # # #) 7.533 * * * * [regimes]: Trying to branch on (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) from (# # # # # # # # # #) 7.584 * * * * [regimes]: Trying to branch on im from (# # # # # # # # # #) 7.635 * * * * [regimes]: Trying to branch on re from (# # # # # # # # # #) 7.683 * * * [regime]: Found split indices: #