57.374 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.026 * * * [progress]: [2/2] Setting up program. 0.028 * [progress]: [Phase 2 of 3] Improving. 0.029 * [simplify]: Simplifying using # : (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.031 * * [simplify]: iteration 0 : 24 enodes (cost 8 ) 0.033 * * [simplify]: iteration 1 : 30 enodes (cost 8 ) 0.034 * * [simplify]: iteration 2 : 33 enodes (cost 8 ) 0.036 * * [simplify]: iteration 3 : 33 enodes (cost 8 ) 0.036 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.036 * * [progress]: iteration 1 / 4 0.036 * * * [progress]: picking best candidate 0.039 * * * * [pick]: Picked # 0.039 * * * [progress]: localizing error 0.049 * * * [progress]: generating rewritten candidates 0.049 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.053 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.069 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.084 * * * [progress]: generating series expansions 0.084 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.084 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.084 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.084 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.084 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.084 * [taylor]: Taking taylor expansion of re in im 0.084 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.084 * [taylor]: Taking taylor expansion of im in im 0.085 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.085 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.085 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.085 * [taylor]: Taking taylor expansion of re in re 0.085 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.085 * [taylor]: Taking taylor expansion of im in re 0.086 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.086 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.086 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.086 * [taylor]: Taking taylor expansion of re in re 0.086 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.086 * [taylor]: Taking taylor expansion of im in re 0.087 * [taylor]: Taking taylor expansion of im in im 0.087 * [taylor]: Taking taylor expansion of 0 in im 0.088 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.088 * [taylor]: Taking taylor expansion of 1/2 in im 0.088 * [taylor]: Taking taylor expansion of im in im 0.090 * [taylor]: Taking taylor expansion of 0 in im 0.091 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.091 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.091 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.091 * [taylor]: Taking taylor expansion of im in im 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.091 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.091 * [taylor]: Taking taylor expansion of re in im 0.093 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.093 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.094 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.094 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.094 * [taylor]: Taking taylor expansion of im in re 0.094 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.094 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.094 * [taylor]: Taking taylor expansion of re in re 0.096 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.096 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.096 * [taylor]: Taking taylor expansion of im in re 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.096 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.096 * [taylor]: Taking taylor expansion of re in re 0.099 * [taylor]: Taking taylor expansion of 1 in im 0.099 * [taylor]: Taking taylor expansion of 0 in im 0.101 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.101 * [taylor]: Taking taylor expansion of 1/2 in im 0.101 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.101 * [taylor]: Taking taylor expansion of im in im 0.104 * [taylor]: Taking taylor expansion of 0 in im 0.105 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.105 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.105 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.105 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.105 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.105 * [taylor]: Taking taylor expansion of im in im 0.106 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.106 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.106 * [taylor]: Taking taylor expansion of re in im 0.108 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.108 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.108 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.108 * [taylor]: Taking taylor expansion of im in re 0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.108 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.108 * [taylor]: Taking taylor expansion of re in re 0.111 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.111 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.111 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.111 * [taylor]: Taking taylor expansion of im in re 0.111 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.111 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.111 * [taylor]: Taking taylor expansion of re in re 0.113 * [taylor]: Taking taylor expansion of 1 in im 0.113 * [taylor]: Taking taylor expansion of 0 in im 0.115 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.115 * [taylor]: Taking taylor expansion of 1/2 in im 0.115 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.115 * [taylor]: Taking taylor expansion of im in im 0.118 * [taylor]: Taking taylor expansion of 0 in im 0.120 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 0.120 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 0.120 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.120 * [taylor]: Taking taylor expansion of re in im 0.120 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.120 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.120 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.120 * [taylor]: Taking taylor expansion of re in im 0.120 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.120 * [taylor]: Taking taylor expansion of im in im 0.120 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.120 * [taylor]: Taking taylor expansion of re in re 0.120 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.120 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.121 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.121 * [taylor]: Taking taylor expansion of re in re 0.121 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.121 * [taylor]: Taking taylor expansion of im in re 0.121 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.121 * [taylor]: Taking taylor expansion of re in re 0.121 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.121 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.121 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.121 * [taylor]: Taking taylor expansion of re in re 0.121 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.121 * [taylor]: Taking taylor expansion of im in re 0.122 * [taylor]: Taking taylor expansion of im in im 0.122 * [taylor]: Taking taylor expansion of 1 in im 0.124 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.124 * [taylor]: Taking taylor expansion of 1/2 in im 0.124 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.124 * [taylor]: Taking taylor expansion of im in im 0.127 * [taylor]: Taking taylor expansion of 0 in im 0.128 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.128 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.128 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.128 * [taylor]: Taking taylor expansion of re in im 0.128 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.128 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.128 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.128 * [taylor]: Taking taylor expansion of im in im 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.129 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.129 * [taylor]: Taking taylor expansion of re in im 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 0.133 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.134 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.134 * [taylor]: Taking taylor expansion of re in re 0.134 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.134 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.134 * [taylor]: Taking taylor expansion of im in re 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.134 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.134 * [taylor]: Taking taylor expansion of re in re 0.137 * [taylor]: Taking taylor expansion of 2 in im 0.137 * [taylor]: Taking taylor expansion of 0 in im 0.140 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.140 * [taylor]: Taking taylor expansion of 1/2 in im 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.140 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.140 * [taylor]: Taking taylor expansion of im in im 0.144 * [taylor]: Taking taylor expansion of 0 in im 0.146 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.146 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.146 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.146 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.146 * [taylor]: Taking taylor expansion of im in im 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.147 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.147 * [taylor]: Taking taylor expansion of re in im 0.149 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.149 * [taylor]: Taking taylor expansion of re in im 0.149 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.149 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.149 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.149 * [taylor]: Taking taylor expansion of im in re 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.149 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.149 * [taylor]: Taking taylor expansion of re in re 0.151 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.151 * [taylor]: Taking taylor expansion of re in re 0.152 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.152 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.152 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.152 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.152 * [taylor]: Taking taylor expansion of im in re 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.152 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.152 * [taylor]: Taking taylor expansion of re in re 0.154 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.154 * [taylor]: Taking taylor expansion of re in re 0.155 * [taylor]: Taking taylor expansion of 0 in im 0.156 * [taylor]: Taking taylor expansion of 0 in im 0.162 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.162 * [taylor]: Taking taylor expansion of 1/2 in im 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.162 * [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 / 3 ] 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 0.172 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.172 * [taylor]: Taking taylor expansion of re in re 0.172 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.172 * [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 0.174 * [taylor]: Taking taylor expansion of im in im 0.177 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.177 * [taylor]: Taking taylor expansion of 1/2 in im 0.177 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.177 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.177 * [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 0.189 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.189 * [taylor]: Taking taylor expansion of 1/8 in im 0.189 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.189 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.189 * [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 0.211 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.211 * [taylor]: Taking taylor expansion of re in re 0.211 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.211 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.211 * [taylor]: Taking taylor expansion of im in re 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.211 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.211 * [taylor]: Taking taylor expansion of re in re 0.215 * [taylor]: Taking taylor expansion of (* (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 0.215 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.215 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.215 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.215 * [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 0.235 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.235 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.235 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.235 * [taylor]: Taking taylor expansion of +nan.0 in im 0.235 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.235 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.235 * [taylor]: Taking taylor expansion of 2.0 in im 0.236 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.236 * [taylor]: Taking taylor expansion of im in im 0.237 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.237 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.237 * [taylor]: Taking taylor expansion of +nan.0 in im 0.237 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.237 * [taylor]: Taking taylor expansion of 2.0 in im 0.252 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.252 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.252 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.252 * [taylor]: Taking taylor expansion of +nan.0 in im 0.252 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.252 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.252 * [taylor]: Taking taylor expansion of 2.0 in im 0.253 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.253 * [taylor]: Taking taylor expansion of im in im 0.253 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.253 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.253 * [taylor]: Taking taylor expansion of +nan.0 in im 0.253 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.253 * [taylor]: Taking taylor expansion of 2.0 in im 0.267 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in (re im) around 0 0.267 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.267 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.267 * [taylor]: Taking taylor expansion of 2.0 in im 0.268 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.268 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.268 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.268 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.268 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.268 * [taylor]: Taking taylor expansion of im in im 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.268 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.268 * [taylor]: Taking taylor expansion of re in im 0.270 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.270 * [taylor]: Taking taylor expansion of re in im 0.272 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.272 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.272 * [taylor]: Taking taylor expansion of 2.0 in re 0.272 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.272 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.272 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.273 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.273 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.273 * [taylor]: Taking taylor expansion of im in re 0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.273 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.273 * [taylor]: Taking taylor expansion of re in re 0.275 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.275 * [taylor]: Taking taylor expansion of re in re 0.280 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.280 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.280 * [taylor]: Taking taylor expansion of 2.0 in re 0.281 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.281 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.281 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.281 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.281 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.281 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.281 * [taylor]: Taking taylor expansion of im in re 0.281 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.281 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.281 * [taylor]: Taking taylor expansion of re in re 0.284 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.284 * [taylor]: Taking taylor expansion of re in re 0.289 * [taylor]: Taking taylor expansion of 0 in im 0.290 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.290 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.290 * [taylor]: Taking taylor expansion of +nan.0 in im 0.290 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.290 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.290 * [taylor]: Taking taylor expansion of 2.0 in im 0.290 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.290 * [taylor]: Taking taylor expansion of im in im 0.298 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.298 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.298 * [taylor]: Taking taylor expansion of +nan.0 in im 0.298 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.298 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.298 * [taylor]: Taking taylor expansion of 2.0 in im 0.298 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.298 * [taylor]: Taking taylor expansion of im in im 0.315 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.315 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.315 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.315 * [taylor]: Taking taylor expansion of +nan.0 in im 0.315 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.315 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.315 * [taylor]: Taking taylor expansion of 2.0 in im 0.315 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.315 * [taylor]: Taking taylor expansion of im in im 0.316 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.316 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.317 * [taylor]: Taking taylor expansion of +nan.0 in im 0.317 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.317 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.317 * [taylor]: Taking taylor expansion of 2.0 in im 0.317 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.317 * [taylor]: Taking taylor expansion of im in im 0.344 * * * [progress]: simplifying candidates 0.345 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (expm1 (+ (sqrt (+ (* re re) (* im im))) re)) (log1p (+ (sqrt (+ (* re re) (* im im))) re)) (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) (expm1 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (log1p (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (* (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 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 0.350 * * [simplify]: iteration 0 : 264 enodes (cost 372 ) 0.355 * * [simplify]: iteration 1 : 830 enodes (cost 337 ) 0.370 * * [simplify]: iteration 2 : 2660 enodes (cost 322 ) 0.418 * * [simplify]: iteration 3 : 5002 enodes (cost 320 ) 0.420 * [simplify]: Simplified to: (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (hypot re im) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (hypot re im) (hypot (pow im 3) (pow re 3)) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (expm1 (+ (sqrt (+ (* re re) (* im im))) re)) (log1p (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ re (hypot re im))) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ re (hypot re im))) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (pow (+ re (hypot re im)) 3) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (fma (pow re 2) re (pow (hypot re im) 3)) (fma re (- re (hypot re im)) (fma re re (* im im))) (* im im) (- (hypot re im) re) (+ re (hypot re im)) (expm1 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (log1p (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (pow (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 3) (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) im re (* -1 re) (+ re im) (* 2 re) 0 (* (* +nan.0 (sqrt 2.0)) (+ (- (* re re)) (- im re))) (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) 0 0.420 * * * [progress]: adding candidates to table 0.602 * * [progress]: iteration 2 / 4 0.602 * * * [progress]: picking best candidate 0.612 * * * * [pick]: Picked # 0.612 * * * [progress]: localizing error 0.621 * * * [progress]: generating rewritten candidates 0.621 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 2) 0.624 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.629 * * * [progress]: generating series expansions 0.629 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 2) 0.629 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 0.629 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.629 * [taylor]: Taking taylor expansion of re in im 0.629 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.629 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.629 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.629 * [taylor]: Taking taylor expansion of (* re re) in im 0.629 * [taylor]: Taking taylor expansion of re in im 0.629 * [taylor]: Taking taylor expansion of re in im 0.629 * [taylor]: Taking taylor expansion of (* im im) in im 0.629 * [taylor]: Taking taylor expansion of im in im 0.629 * [taylor]: Taking taylor expansion of im in im 0.631 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.631 * [taylor]: Taking taylor expansion of re in re 0.631 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.631 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.631 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.631 * [taylor]: Taking taylor expansion of (* re re) in re 0.631 * [taylor]: Taking taylor expansion of re in re 0.631 * [taylor]: Taking taylor expansion of re in re 0.631 * [taylor]: Taking taylor expansion of (* im im) in re 0.631 * [taylor]: Taking taylor expansion of im in re 0.631 * [taylor]: Taking taylor expansion of im in re 0.632 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.632 * [taylor]: Taking taylor expansion of re in re 0.632 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.632 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.632 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.632 * [taylor]: Taking taylor expansion of (* re re) in re 0.632 * [taylor]: Taking taylor expansion of re in re 0.632 * [taylor]: Taking taylor expansion of re in re 0.632 * [taylor]: Taking taylor expansion of (* im im) in re 0.632 * [taylor]: Taking taylor expansion of im in re 0.632 * [taylor]: Taking taylor expansion of im in re 0.634 * [taylor]: Taking taylor expansion of im in im 0.634 * [taylor]: Taking taylor expansion of 1 in im 0.636 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.636 * [taylor]: Taking taylor expansion of 1/2 in im 0.636 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.636 * [taylor]: Taking taylor expansion of im in im 0.638 * [taylor]: Taking taylor expansion of 0 in im 0.640 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 0.640 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 0.640 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.640 * [taylor]: Taking taylor expansion of re in im 0.640 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.640 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.640 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.640 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.640 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.640 * [taylor]: Taking taylor expansion of re in im 0.640 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.640 * [taylor]: Taking taylor expansion of re in im 0.640 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.640 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.640 * [taylor]: Taking taylor expansion of im in im 0.640 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.640 * [taylor]: Taking taylor expansion of im in im 0.643 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.643 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.643 * [taylor]: Taking taylor expansion of re in re 0.643 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.644 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.644 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.644 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.644 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.644 * [taylor]: Taking taylor expansion of re in re 0.644 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.644 * [taylor]: Taking taylor expansion of re in re 0.644 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.644 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.644 * [taylor]: Taking taylor expansion of im in re 0.644 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.644 * [taylor]: Taking taylor expansion of im in re 0.647 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.647 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.647 * [taylor]: Taking taylor expansion of re in re 0.647 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.647 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.647 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.647 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.647 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.647 * [taylor]: Taking taylor expansion of re in re 0.648 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.648 * [taylor]: Taking taylor expansion of re in re 0.648 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.648 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.648 * [taylor]: Taking taylor expansion of im in re 0.648 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.648 * [taylor]: Taking taylor expansion of im in re 0.651 * [taylor]: Taking taylor expansion of 2 in im 0.651 * [taylor]: Taking taylor expansion of 0 in im 0.655 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.655 * [taylor]: Taking taylor expansion of 1/2 in im 0.655 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.655 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.655 * [taylor]: Taking taylor expansion of im in im 0.659 * [taylor]: Taking taylor expansion of 0 in im 0.661 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 0.661 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.661 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.661 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.661 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.661 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.661 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.661 * [taylor]: Taking taylor expansion of -1 in im 0.661 * [taylor]: Taking taylor expansion of re in im 0.661 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.661 * [taylor]: Taking taylor expansion of -1 in im 0.661 * [taylor]: Taking taylor expansion of re in im 0.661 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.661 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.661 * [taylor]: Taking taylor expansion of -1 in im 0.661 * [taylor]: Taking taylor expansion of im in im 0.662 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.662 * [taylor]: Taking taylor expansion of -1 in im 0.662 * [taylor]: Taking taylor expansion of im in im 0.667 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.668 * [taylor]: Taking taylor expansion of re in im 0.668 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.668 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.668 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.668 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.668 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.668 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.668 * [taylor]: Taking taylor expansion of -1 in re 0.668 * [taylor]: Taking taylor expansion of re in re 0.668 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.668 * [taylor]: Taking taylor expansion of -1 in re 0.668 * [taylor]: Taking taylor expansion of re in re 0.668 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.668 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.668 * [taylor]: Taking taylor expansion of -1 in re 0.669 * [taylor]: Taking taylor expansion of im in re 0.669 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.669 * [taylor]: Taking taylor expansion of -1 in re 0.669 * [taylor]: Taking taylor expansion of im in re 0.671 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.671 * [taylor]: Taking taylor expansion of re in re 0.672 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.672 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.672 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.672 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.672 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.672 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.672 * [taylor]: Taking taylor expansion of -1 in re 0.672 * [taylor]: Taking taylor expansion of re in re 0.672 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.672 * [taylor]: Taking taylor expansion of -1 in re 0.672 * [taylor]: Taking taylor expansion of re in re 0.672 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.672 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.672 * [taylor]: Taking taylor expansion of -1 in re 0.672 * [taylor]: Taking taylor expansion of im in re 0.673 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.673 * [taylor]: Taking taylor expansion of -1 in re 0.673 * [taylor]: Taking taylor expansion of im in re 0.675 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.675 * [taylor]: Taking taylor expansion of re in re 0.676 * [taylor]: Taking taylor expansion of 0 in im 0.677 * [taylor]: Taking taylor expansion of 0 in im 0.680 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.680 * [taylor]: Taking taylor expansion of 1/2 in im 0.680 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.680 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.680 * [taylor]: Taking taylor expansion of im in im 0.685 * [taylor]: Taking taylor expansion of 0 in im 0.687 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.687 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0 0.687 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im 0.687 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 0.687 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.687 * [taylor]: Taking taylor expansion of re in im 0.687 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.687 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.687 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.687 * [taylor]: Taking taylor expansion of (* re re) in im 0.687 * [taylor]: Taking taylor expansion of re in im 0.687 * [taylor]: Taking taylor expansion of re in im 0.687 * [taylor]: Taking taylor expansion of (* im im) in im 0.687 * [taylor]: Taking taylor expansion of im in im 0.687 * [taylor]: Taking taylor expansion of im in im 0.689 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.689 * [taylor]: Taking taylor expansion of 2.0 in im 0.690 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 0.690 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 0.690 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.690 * [taylor]: Taking taylor expansion of re in re 0.690 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.690 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.690 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.690 * [taylor]: Taking taylor expansion of (* re re) in re 0.690 * [taylor]: Taking taylor expansion of re in re 0.690 * [taylor]: Taking taylor expansion of re in re 0.690 * [taylor]: Taking taylor expansion of (* im im) in re 0.690 * [taylor]: Taking taylor expansion of im in re 0.690 * [taylor]: Taking taylor expansion of im in re 0.692 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.692 * [taylor]: Taking taylor expansion of 2.0 in re 0.692 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 0.692 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 0.692 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.692 * [taylor]: Taking taylor expansion of re in re 0.692 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.692 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.693 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.693 * [taylor]: Taking taylor expansion of (* re re) in re 0.693 * [taylor]: Taking taylor expansion of re in re 0.693 * [taylor]: Taking taylor expansion of re in re 0.693 * [taylor]: Taking taylor expansion of (* im im) in re 0.693 * [taylor]: Taking taylor expansion of im in re 0.693 * [taylor]: Taking taylor expansion of im in re 0.694 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.694 * [taylor]: Taking taylor expansion of 2.0 in re 0.695 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.695 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.695 * [taylor]: Taking taylor expansion of 2.0 in im 0.696 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.696 * [taylor]: Taking taylor expansion of im in im 0.698 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.698 * [taylor]: Taking taylor expansion of 1/2 in im 0.698 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.698 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.698 * [taylor]: Taking taylor expansion of 2.0 in im 0.698 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.698 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.699 * [taylor]: Taking taylor expansion of im in im 0.710 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.710 * [taylor]: Taking taylor expansion of 1/8 in im 0.710 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.710 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.710 * [taylor]: Taking taylor expansion of 2.0 in im 0.711 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.711 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.711 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.711 * [taylor]: Taking taylor expansion of im in im 0.726 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in (re im) around 0 0.726 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in im 0.726 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 0.726 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 0.726 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.726 * [taylor]: Taking taylor expansion of re in im 0.726 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.726 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.726 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.726 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.726 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.726 * [taylor]: Taking taylor expansion of re in im 0.726 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.726 * [taylor]: Taking taylor expansion of re in im 0.726 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.726 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.726 * [taylor]: Taking taylor expansion of im in im 0.727 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.727 * [taylor]: Taking taylor expansion of im in im 0.731 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.731 * [taylor]: Taking taylor expansion of 2.0 in im 0.731 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 0.731 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 0.731 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.731 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.731 * [taylor]: Taking taylor expansion of re in re 0.732 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.732 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.732 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.732 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.732 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.732 * [taylor]: Taking taylor expansion of re in re 0.732 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.732 * [taylor]: Taking taylor expansion of re in re 0.732 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.732 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.733 * [taylor]: Taking taylor expansion of im in re 0.733 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.733 * [taylor]: Taking taylor expansion of im in re 0.736 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.736 * [taylor]: Taking taylor expansion of 2.0 in re 0.737 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 0.737 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 0.737 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.737 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.737 * [taylor]: Taking taylor expansion of re in re 0.737 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.737 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.737 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.737 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.738 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.738 * [taylor]: Taking taylor expansion of re in re 0.738 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.738 * [taylor]: Taking taylor expansion of re in re 0.738 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.738 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.738 * [taylor]: Taking taylor expansion of im in re 0.738 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.738 * [taylor]: Taking taylor expansion of im in re 0.742 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.742 * [taylor]: Taking taylor expansion of 2.0 in re 0.743 * [taylor]: Taking taylor expansion of 0 in im 0.745 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.745 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.745 * [taylor]: Taking taylor expansion of +nan.0 in im 0.745 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.745 * [taylor]: Taking taylor expansion of 2.0 in im 0.754 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.754 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.754 * [taylor]: Taking taylor expansion of +nan.0 in im 0.754 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.754 * [taylor]: Taking taylor expansion of 2.0 in im 0.763 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.763 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.763 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.763 * [taylor]: Taking taylor expansion of +nan.0 in im 0.763 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.763 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.763 * [taylor]: Taking taylor expansion of 2.0 in im 0.764 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.764 * [taylor]: Taking taylor expansion of im in im 0.765 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.765 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.765 * [taylor]: Taking taylor expansion of +nan.0 in im 0.765 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.765 * [taylor]: Taking taylor expansion of 2.0 in im 0.777 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.777 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.777 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.777 * [taylor]: Taking taylor expansion of +nan.0 in im 0.777 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.777 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.777 * [taylor]: Taking taylor expansion of 2.0 in im 0.778 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.778 * [taylor]: Taking taylor expansion of im in im 0.778 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.778 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.778 * [taylor]: Taking taylor expansion of +nan.0 in im 0.778 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.778 * [taylor]: Taking taylor expansion of 2.0 in im 0.792 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 0.792 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 0.793 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.793 * [taylor]: Taking taylor expansion of 2.0 in im 0.794 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 0.794 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.794 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.794 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.794 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.794 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.794 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.794 * [taylor]: Taking taylor expansion of -1 in im 0.794 * [taylor]: Taking taylor expansion of re in im 0.794 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.794 * [taylor]: Taking taylor expansion of -1 in im 0.794 * [taylor]: Taking taylor expansion of re in im 0.794 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.794 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.794 * [taylor]: Taking taylor expansion of -1 in im 0.794 * [taylor]: Taking taylor expansion of im in im 0.794 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.794 * [taylor]: Taking taylor expansion of -1 in im 0.794 * [taylor]: Taking taylor expansion of im in im 0.797 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.797 * [taylor]: Taking taylor expansion of re in im 0.799 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.799 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.799 * [taylor]: Taking taylor expansion of 2.0 in re 0.799 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.799 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.799 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.800 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.800 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.800 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.800 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.800 * [taylor]: Taking taylor expansion of -1 in re 0.800 * [taylor]: Taking taylor expansion of re in re 0.800 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.800 * [taylor]: Taking taylor expansion of -1 in re 0.800 * [taylor]: Taking taylor expansion of re in re 0.800 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.800 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.800 * [taylor]: Taking taylor expansion of -1 in re 0.800 * [taylor]: Taking taylor expansion of im in re 0.800 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.800 * [taylor]: Taking taylor expansion of -1 in re 0.800 * [taylor]: Taking taylor expansion of im in re 0.803 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.803 * [taylor]: Taking taylor expansion of re in re 0.808 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.809 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.809 * [taylor]: Taking taylor expansion of 2.0 in re 0.809 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.809 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.809 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.809 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.809 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.809 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.809 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.809 * [taylor]: Taking taylor expansion of -1 in re 0.809 * [taylor]: Taking taylor expansion of re in re 0.810 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.810 * [taylor]: Taking taylor expansion of -1 in re 0.810 * [taylor]: Taking taylor expansion of re in re 0.810 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.810 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.810 * [taylor]: Taking taylor expansion of -1 in re 0.810 * [taylor]: Taking taylor expansion of im in re 0.810 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.810 * [taylor]: Taking taylor expansion of -1 in re 0.810 * [taylor]: Taking taylor expansion of im in re 0.813 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.813 * [taylor]: Taking taylor expansion of re in re 0.819 * [taylor]: Taking taylor expansion of 0 in im 0.819 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.819 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.820 * [taylor]: Taking taylor expansion of +nan.0 in im 0.820 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.820 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.820 * [taylor]: Taking taylor expansion of 2.0 in im 0.820 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.820 * [taylor]: Taking taylor expansion of im in im 0.828 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.828 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.828 * [taylor]: Taking taylor expansion of +nan.0 in im 0.828 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.828 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.828 * [taylor]: Taking taylor expansion of 2.0 in im 0.829 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.829 * [taylor]: Taking taylor expansion of im in im 0.849 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.849 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.849 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.849 * [taylor]: Taking taylor expansion of +nan.0 in im 0.849 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.849 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.849 * [taylor]: Taking taylor expansion of 2.0 in im 0.850 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.850 * [taylor]: Taking taylor expansion of im in im 0.851 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.851 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.851 * [taylor]: Taking taylor expansion of +nan.0 in im 0.851 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.851 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.851 * [taylor]: Taking taylor expansion of 2.0 in im 0.851 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.851 * [taylor]: Taking taylor expansion of im in im 0.874 * * * [progress]: simplifying candidates 0.875 * [simplify]: Simplifying using # : (expm1 (+ (* 1 (hypot re im)) re)) (log1p (+ (* 1 (hypot re im)) re)) (* (exp (* 1 (hypot re im))) (exp re)) (log (+ (* 1 (hypot re im)) re)) (exp (+ (* 1 (hypot re im)) re)) (* (cbrt (+ (* 1 (hypot re im)) re)) (cbrt (+ (* 1 (hypot re im)) re))) (cbrt (+ (* 1 (hypot re im)) re)) (* (* (+ (* 1 (hypot re im)) re) (+ (* 1 (hypot re im)) re)) (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)) (+ (pow (* 1 (hypot re im)) 3) (pow re 3)) (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (- (* re re) (* (* 1 (hypot re im)) re))) (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re)) (- (* 1 (hypot re im)) re) (+ (hypot re im) re) (expm1 (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (log1p (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (log (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (exp (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (* (cbrt (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (cbrt (sqrt (* 2.0 (+ (* 1 (hypot re im)) re))))) (cbrt (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (* (* (sqrt (* 2.0 (+ (* 1 (hypot re im)) re))) (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (sqrt 2.0) (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (* 2.0 (+ (pow (* 1 (hypot re im)) 3) (pow re 3)))) (sqrt (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (- (* re re) (* (* 1 (hypot re im)) re)))) (sqrt (* 2.0 (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re)))) (sqrt (- (* 1 (hypot re im)) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (+ re im) (* 2 re) 0 (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0 0.879 * * [simplify]: iteration 0 : 203 enodes (cost 208 ) 0.883 * * [simplify]: iteration 1 : 623 enodes (cost 184 ) 0.898 * * [simplify]: iteration 2 : 2642 enodes (cost 176 ) 0.948 * * [simplify]: iteration 3 : 5001 enodes (cost 175 ) 0.949 * [simplify]: Simplified to: (expm1 (+ (* 1 (hypot re im)) re)) (log1p (+ (* 1 (hypot re im)) re)) (exp (+ re (hypot re im))) (log (+ (* 1 (hypot re im)) re)) (exp (+ re (hypot re im))) (* (cbrt (+ (* 1 (hypot re im)) re)) (cbrt (+ (* 1 (hypot re im)) re))) (cbrt (+ (* 1 (hypot re im)) re)) (pow (fma 1 (hypot re im) re) 3) (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)) (fma (pow re 2) re (pow (hypot re im) 3)) (fma (hypot re im) (- (hypot re im) re) (pow re 2)) (fma (hypot re im) (hypot re im) (- (pow re 2))) (- (hypot re im) re) (fma 1 (hypot re im) re) (expm1 (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (log1p (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (log (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (exp (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (* (cbrt (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (cbrt (sqrt (* 2.0 (+ (* 1 (hypot re im)) re))))) (cbrt (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (pow (sqrt (* 2.0 (+ (* 1 (hypot re im)) re))) 3) (sqrt 2.0) (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (* 2.0 (+ (pow (* 1 (hypot re im)) 3) (pow re 3)))) (sqrt (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (- (* re re) (* (* 1 (hypot re im)) re)))) (sqrt (* 2.0 (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re)))) (sqrt (- (* 1 (hypot re im)) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (+ re im) (* 2 re) 0 (* (* +nan.0 (sqrt 2.0)) (+ (- (* re re)) (- im re))) (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) 0 0.950 * * * [progress]: adding candidates to table 1.052 * * [progress]: iteration 3 / 4 1.053 * * * [progress]: picking best candidate 1.066 * * * * [pick]: Picked # 1.066 * * * [progress]: localizing error 1.079 * * * [progress]: generating rewritten candidates 1.079 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1) 1.082 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 2 1) 1.085 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1) 1.087 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2) 1.091 * * * [progress]: generating series expansions 1.091 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1) 1.091 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 1.091 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.091 * [taylor]: Taking taylor expansion of re in im 1.091 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.091 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.091 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.091 * [taylor]: Taking taylor expansion of (* re re) in im 1.091 * [taylor]: Taking taylor expansion of re in im 1.091 * [taylor]: Taking taylor expansion of re in im 1.091 * [taylor]: Taking taylor expansion of (* im im) in im 1.091 * [taylor]: Taking taylor expansion of im in im 1.091 * [taylor]: Taking taylor expansion of im in im 1.093 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.093 * [taylor]: Taking taylor expansion of re in re 1.093 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.093 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.093 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.093 * [taylor]: Taking taylor expansion of (* re re) in re 1.093 * [taylor]: Taking taylor expansion of re in re 1.093 * [taylor]: Taking taylor expansion of re in re 1.093 * [taylor]: Taking taylor expansion of (* im im) in re 1.093 * [taylor]: Taking taylor expansion of im in re 1.093 * [taylor]: Taking taylor expansion of im in re 1.094 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.094 * [taylor]: Taking taylor expansion of re in re 1.094 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.094 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.094 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.094 * [taylor]: Taking taylor expansion of (* re re) in re 1.094 * [taylor]: Taking taylor expansion of re in re 1.094 * [taylor]: Taking taylor expansion of re in re 1.095 * [taylor]: Taking taylor expansion of (* im im) in re 1.095 * [taylor]: Taking taylor expansion of im in re 1.095 * [taylor]: Taking taylor expansion of im in re 1.096 * [taylor]: Taking taylor expansion of im in im 1.096 * [taylor]: Taking taylor expansion of 1 in im 1.098 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.098 * [taylor]: Taking taylor expansion of 1/2 in im 1.098 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.098 * [taylor]: Taking taylor expansion of im in im 1.100 * [taylor]: Taking taylor expansion of 0 in im 1.101 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 1.102 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 1.102 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.102 * [taylor]: Taking taylor expansion of re in im 1.102 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.102 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.102 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.102 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.102 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.102 * [taylor]: Taking taylor expansion of re in im 1.102 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.102 * [taylor]: Taking taylor expansion of re in im 1.102 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.102 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.102 * [taylor]: Taking taylor expansion of im in im 1.102 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.102 * [taylor]: Taking taylor expansion of im in im 1.108 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.108 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.108 * [taylor]: Taking taylor expansion of re in re 1.108 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.108 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.108 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.108 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.108 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.108 * [taylor]: Taking taylor expansion of re in re 1.109 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.109 * [taylor]: Taking taylor expansion of re in re 1.109 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.109 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.109 * [taylor]: Taking taylor expansion of im in re 1.109 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.109 * [taylor]: Taking taylor expansion of im in re 1.112 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.112 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.112 * [taylor]: Taking taylor expansion of re in re 1.112 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.112 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.112 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.112 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.112 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.112 * [taylor]: Taking taylor expansion of re in re 1.112 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.112 * [taylor]: Taking taylor expansion of re in re 1.113 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.113 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.113 * [taylor]: Taking taylor expansion of im in re 1.113 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.113 * [taylor]: Taking taylor expansion of im in re 1.116 * [taylor]: Taking taylor expansion of 2 in im 1.116 * [taylor]: Taking taylor expansion of 0 in im 1.120 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.120 * [taylor]: Taking taylor expansion of 1/2 in im 1.120 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.120 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.120 * [taylor]: Taking taylor expansion of im in im 1.124 * [taylor]: Taking taylor expansion of 0 in im 1.126 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 1.126 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.126 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.126 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.126 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.126 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.126 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.126 * [taylor]: Taking taylor expansion of -1 in im 1.126 * [taylor]: Taking taylor expansion of re in im 1.126 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.126 * [taylor]: Taking taylor expansion of -1 in im 1.126 * [taylor]: Taking taylor expansion of re in im 1.126 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.126 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.126 * [taylor]: Taking taylor expansion of -1 in im 1.126 * [taylor]: Taking taylor expansion of im in im 1.127 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.127 * [taylor]: Taking taylor expansion of -1 in im 1.127 * [taylor]: Taking taylor expansion of im in im 1.130 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.130 * [taylor]: Taking taylor expansion of re in im 1.130 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.130 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.130 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.130 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.130 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.130 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.130 * [taylor]: Taking taylor expansion of -1 in re 1.130 * [taylor]: Taking taylor expansion of re in re 1.130 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.130 * [taylor]: Taking taylor expansion of -1 in re 1.130 * [taylor]: Taking taylor expansion of re in re 1.131 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.131 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.131 * [taylor]: Taking taylor expansion of -1 in re 1.131 * [taylor]: Taking taylor expansion of im in re 1.131 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.131 * [taylor]: Taking taylor expansion of -1 in re 1.131 * [taylor]: Taking taylor expansion of im in re 1.133 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.133 * [taylor]: Taking taylor expansion of re in re 1.134 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.134 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.134 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.134 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.134 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.134 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.134 * [taylor]: Taking taylor expansion of -1 in re 1.134 * [taylor]: Taking taylor expansion of re in re 1.134 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.134 * [taylor]: Taking taylor expansion of -1 in re 1.134 * [taylor]: Taking taylor expansion of re in re 1.134 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.134 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.134 * [taylor]: Taking taylor expansion of -1 in re 1.134 * [taylor]: Taking taylor expansion of im in re 1.134 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.134 * [taylor]: Taking taylor expansion of -1 in re 1.135 * [taylor]: Taking taylor expansion of im in re 1.137 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.137 * [taylor]: Taking taylor expansion of re in re 1.138 * [taylor]: Taking taylor expansion of 0 in im 1.139 * [taylor]: Taking taylor expansion of 0 in im 1.142 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.142 * [taylor]: Taking taylor expansion of 1/2 in im 1.142 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.142 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.142 * [taylor]: Taking taylor expansion of im in im 1.147 * [taylor]: Taking taylor expansion of 0 in im 1.149 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 2 1) 1.149 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 1.149 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.149 * [taylor]: Taking taylor expansion of re in im 1.149 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.149 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.149 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.149 * [taylor]: Taking taylor expansion of (* re re) in im 1.149 * [taylor]: Taking taylor expansion of re in im 1.149 * [taylor]: Taking taylor expansion of re in im 1.149 * [taylor]: Taking taylor expansion of (* im im) in im 1.149 * [taylor]: Taking taylor expansion of im in im 1.149 * [taylor]: Taking taylor expansion of im in im 1.150 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.150 * [taylor]: Taking taylor expansion of re in re 1.150 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.151 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.151 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.151 * [taylor]: Taking taylor expansion of (* re re) in re 1.151 * [taylor]: Taking taylor expansion of re in re 1.151 * [taylor]: Taking taylor expansion of re in re 1.151 * [taylor]: Taking taylor expansion of (* im im) in re 1.151 * [taylor]: Taking taylor expansion of im in re 1.151 * [taylor]: Taking taylor expansion of im in re 1.152 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.152 * [taylor]: Taking taylor expansion of re in re 1.152 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.152 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.152 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.152 * [taylor]: Taking taylor expansion of (* re re) in re 1.152 * [taylor]: Taking taylor expansion of re in re 1.152 * [taylor]: Taking taylor expansion of re in re 1.152 * [taylor]: Taking taylor expansion of (* im im) in re 1.152 * [taylor]: Taking taylor expansion of im in re 1.152 * [taylor]: Taking taylor expansion of im in re 1.153 * [taylor]: Taking taylor expansion of im in im 1.154 * [taylor]: Taking taylor expansion of 1 in im 1.155 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.155 * [taylor]: Taking taylor expansion of 1/2 in im 1.155 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.155 * [taylor]: Taking taylor expansion of im in im 1.158 * [taylor]: Taking taylor expansion of 0 in im 1.159 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 1.159 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 1.159 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.159 * [taylor]: Taking taylor expansion of re in im 1.159 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.159 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.159 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.159 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.159 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.160 * [taylor]: Taking taylor expansion of re in im 1.160 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.160 * [taylor]: Taking taylor expansion of re in im 1.160 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.160 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.160 * [taylor]: Taking taylor expansion of im in im 1.160 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.160 * [taylor]: Taking taylor expansion of im in im 1.163 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.163 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.163 * [taylor]: Taking taylor expansion of re in re 1.163 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.163 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.163 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.163 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.163 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.163 * [taylor]: Taking taylor expansion of re in re 1.163 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.163 * [taylor]: Taking taylor expansion of re in re 1.164 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.164 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.164 * [taylor]: Taking taylor expansion of im in re 1.164 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.164 * [taylor]: Taking taylor expansion of im in re 1.166 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.166 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.166 * [taylor]: Taking taylor expansion of re in re 1.167 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.167 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.167 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.167 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.167 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.167 * [taylor]: Taking taylor expansion of re in re 1.167 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.167 * [taylor]: Taking taylor expansion of re in re 1.167 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.167 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.167 * [taylor]: Taking taylor expansion of im in re 1.167 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.167 * [taylor]: Taking taylor expansion of im in re 1.170 * [taylor]: Taking taylor expansion of 2 in im 1.171 * [taylor]: Taking taylor expansion of 0 in im 1.174 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.174 * [taylor]: Taking taylor expansion of 1/2 in im 1.174 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.174 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.174 * [taylor]: Taking taylor expansion of im in im 1.179 * [taylor]: Taking taylor expansion of 0 in im 1.181 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 1.181 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.181 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.181 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.181 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.181 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.181 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.181 * [taylor]: Taking taylor expansion of -1 in im 1.181 * [taylor]: Taking taylor expansion of re in im 1.181 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.181 * [taylor]: Taking taylor expansion of -1 in im 1.181 * [taylor]: Taking taylor expansion of re in im 1.181 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.181 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.181 * [taylor]: Taking taylor expansion of -1 in im 1.181 * [taylor]: Taking taylor expansion of im in im 1.181 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.181 * [taylor]: Taking taylor expansion of -1 in im 1.181 * [taylor]: Taking taylor expansion of im in im 1.184 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.184 * [taylor]: Taking taylor expansion of re in im 1.184 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.184 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.184 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.184 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.185 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.185 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.185 * [taylor]: Taking taylor expansion of -1 in re 1.185 * [taylor]: Taking taylor expansion of re in re 1.185 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.185 * [taylor]: Taking taylor expansion of -1 in re 1.185 * [taylor]: Taking taylor expansion of re in re 1.185 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.185 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.185 * [taylor]: Taking taylor expansion of -1 in re 1.185 * [taylor]: Taking taylor expansion of im in re 1.185 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.185 * [taylor]: Taking taylor expansion of -1 in re 1.185 * [taylor]: Taking taylor expansion of im in re 1.188 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.188 * [taylor]: Taking taylor expansion of re in re 1.188 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.188 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.188 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.188 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.188 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.188 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.188 * [taylor]: Taking taylor expansion of -1 in re 1.188 * [taylor]: Taking taylor expansion of re in re 1.189 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.189 * [taylor]: Taking taylor expansion of -1 in re 1.189 * [taylor]: Taking taylor expansion of re in re 1.189 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.189 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.189 * [taylor]: Taking taylor expansion of -1 in re 1.189 * [taylor]: Taking taylor expansion of im in re 1.189 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.189 * [taylor]: Taking taylor expansion of -1 in re 1.189 * [taylor]: Taking taylor expansion of im in re 1.195 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.195 * [taylor]: Taking taylor expansion of re in re 1.195 * [taylor]: Taking taylor expansion of 0 in im 1.196 * [taylor]: Taking taylor expansion of 0 in im 1.200 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.200 * [taylor]: Taking taylor expansion of 1/2 in im 1.200 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.200 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.200 * [taylor]: Taking taylor expansion of im in im 1.205 * [taylor]: Taking taylor expansion of 0 in im 1.206 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1) 1.207 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 1.207 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.207 * [taylor]: Taking taylor expansion of re in im 1.207 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.207 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.207 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.207 * [taylor]: Taking taylor expansion of (* re re) in im 1.207 * [taylor]: Taking taylor expansion of re in im 1.207 * [taylor]: Taking taylor expansion of re in im 1.207 * [taylor]: Taking taylor expansion of (* im im) in im 1.207 * [taylor]: Taking taylor expansion of im in im 1.207 * [taylor]: Taking taylor expansion of im in im 1.208 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.208 * [taylor]: Taking taylor expansion of re in re 1.208 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.208 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.208 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.208 * [taylor]: Taking taylor expansion of (* re re) in re 1.208 * [taylor]: Taking taylor expansion of re in re 1.208 * [taylor]: Taking taylor expansion of re in re 1.208 * [taylor]: Taking taylor expansion of (* im im) in re 1.208 * [taylor]: Taking taylor expansion of im in re 1.208 * [taylor]: Taking taylor expansion of im in re 1.209 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.209 * [taylor]: Taking taylor expansion of re in re 1.209 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.209 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.210 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.210 * [taylor]: Taking taylor expansion of (* re re) in re 1.210 * [taylor]: Taking taylor expansion of re in re 1.210 * [taylor]: Taking taylor expansion of re in re 1.210 * [taylor]: Taking taylor expansion of (* im im) in re 1.210 * [taylor]: Taking taylor expansion of im in re 1.210 * [taylor]: Taking taylor expansion of im in re 1.211 * [taylor]: Taking taylor expansion of im in im 1.211 * [taylor]: Taking taylor expansion of 1 in im 1.213 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.213 * [taylor]: Taking taylor expansion of 1/2 in im 1.213 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.213 * [taylor]: Taking taylor expansion of im in im 1.215 * [taylor]: Taking taylor expansion of 0 in im 1.216 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 1.217 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 1.217 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.217 * [taylor]: Taking taylor expansion of re in im 1.217 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.217 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.217 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.217 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.217 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.217 * [taylor]: Taking taylor expansion of re in im 1.217 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.217 * [taylor]: Taking taylor expansion of re in im 1.217 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.217 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.217 * [taylor]: Taking taylor expansion of im in im 1.217 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.217 * [taylor]: Taking taylor expansion of im in im 1.220 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.220 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.220 * [taylor]: Taking taylor expansion of re in re 1.220 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.221 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.221 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.221 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.221 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.221 * [taylor]: Taking taylor expansion of re in re 1.221 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.221 * [taylor]: Taking taylor expansion of re in re 1.221 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.221 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.221 * [taylor]: Taking taylor expansion of im in re 1.221 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.221 * [taylor]: Taking taylor expansion of im in re 1.224 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.224 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.224 * [taylor]: Taking taylor expansion of re in re 1.224 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.224 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.224 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.224 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.224 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.224 * [taylor]: Taking taylor expansion of re in re 1.225 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.225 * [taylor]: Taking taylor expansion of re in re 1.225 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.225 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.225 * [taylor]: Taking taylor expansion of im in re 1.225 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.225 * [taylor]: Taking taylor expansion of im in re 1.228 * [taylor]: Taking taylor expansion of 2 in im 1.228 * [taylor]: Taking taylor expansion of 0 in im 1.232 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.232 * [taylor]: Taking taylor expansion of 1/2 in im 1.232 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.232 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.232 * [taylor]: Taking taylor expansion of im in im 1.236 * [taylor]: Taking taylor expansion of 0 in im 1.238 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 1.238 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.238 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.238 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.238 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.238 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.238 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.238 * [taylor]: Taking taylor expansion of -1 in im 1.238 * [taylor]: Taking taylor expansion of re in im 1.238 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.238 * [taylor]: Taking taylor expansion of -1 in im 1.238 * [taylor]: Taking taylor expansion of re in im 1.238 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.238 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.238 * [taylor]: Taking taylor expansion of -1 in im 1.238 * [taylor]: Taking taylor expansion of im in im 1.239 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.239 * [taylor]: Taking taylor expansion of -1 in im 1.239 * [taylor]: Taking taylor expansion of im in im 1.242 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.242 * [taylor]: Taking taylor expansion of re in im 1.242 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.242 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.242 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.242 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.242 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.242 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.242 * [taylor]: Taking taylor expansion of -1 in re 1.242 * [taylor]: Taking taylor expansion of re in re 1.242 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.242 * [taylor]: Taking taylor expansion of -1 in re 1.242 * [taylor]: Taking taylor expansion of re in re 1.242 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.242 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.243 * [taylor]: Taking taylor expansion of -1 in re 1.243 * [taylor]: Taking taylor expansion of im in re 1.243 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.243 * [taylor]: Taking taylor expansion of -1 in re 1.243 * [taylor]: Taking taylor expansion of im in re 1.245 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.245 * [taylor]: Taking taylor expansion of re in re 1.245 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.246 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.246 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.246 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.246 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.246 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.246 * [taylor]: Taking taylor expansion of -1 in re 1.246 * [taylor]: Taking taylor expansion of re in re 1.246 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.246 * [taylor]: Taking taylor expansion of -1 in re 1.246 * [taylor]: Taking taylor expansion of re in re 1.246 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.246 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.246 * [taylor]: Taking taylor expansion of -1 in re 1.246 * [taylor]: Taking taylor expansion of im in re 1.246 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.246 * [taylor]: Taking taylor expansion of -1 in re 1.246 * [taylor]: Taking taylor expansion of im in re 1.249 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.249 * [taylor]: Taking taylor expansion of re in re 1.250 * [taylor]: Taking taylor expansion of 0 in im 1.251 * [taylor]: Taking taylor expansion of 0 in im 1.254 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.254 * [taylor]: Taking taylor expansion of 1/2 in im 1.254 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.254 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.254 * [taylor]: Taking taylor expansion of im in im 1.259 * [taylor]: Taking taylor expansion of 0 in im 1.261 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2) 1.261 * [approximate]: Taking taylor expansion of (pow (+ re (hypot re im)) 1/3) in (re im) around 0 1.261 * [taylor]: Taking taylor expansion of (pow (+ re (hypot re im)) 1/3) in im 1.261 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ re (hypot re im))))) in im 1.261 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ re (hypot re im)))) in im 1.261 * [taylor]: Taking taylor expansion of 1/3 in im 1.261 * [taylor]: Taking taylor expansion of (log (+ re (hypot re im))) in im 1.261 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.261 * [taylor]: Taking taylor expansion of re in im 1.261 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.261 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.261 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.261 * [taylor]: Taking taylor expansion of (* re re) in im 1.261 * [taylor]: Taking taylor expansion of re in im 1.261 * [taylor]: Taking taylor expansion of re in im 1.261 * [taylor]: Taking taylor expansion of (* im im) in im 1.261 * [taylor]: Taking taylor expansion of im in im 1.261 * [taylor]: Taking taylor expansion of im in im 1.263 * [taylor]: Taking taylor expansion of (pow (+ re (hypot re im)) 1/3) in re 1.263 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ re (hypot re im))))) in re 1.263 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ re (hypot re im)))) in re 1.263 * [taylor]: Taking taylor expansion of 1/3 in re 1.263 * [taylor]: Taking taylor expansion of (log (+ re (hypot re im))) in re 1.263 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.263 * [taylor]: Taking taylor expansion of re in re 1.263 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.263 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.263 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.263 * [taylor]: Taking taylor expansion of (* re re) in re 1.263 * [taylor]: Taking taylor expansion of re in re 1.263 * [taylor]: Taking taylor expansion of re in re 1.263 * [taylor]: Taking taylor expansion of (* im im) in re 1.263 * [taylor]: Taking taylor expansion of im in re 1.263 * [taylor]: Taking taylor expansion of im in re 1.264 * [taylor]: Taking taylor expansion of (pow (+ re (hypot re im)) 1/3) in re 1.264 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ re (hypot re im))))) in re 1.264 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ re (hypot re im)))) in re 1.264 * [taylor]: Taking taylor expansion of 1/3 in re 1.264 * [taylor]: Taking taylor expansion of (log (+ re (hypot re im))) in re 1.264 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.264 * [taylor]: Taking taylor expansion of re in re 1.264 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.264 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.264 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.264 * [taylor]: Taking taylor expansion of (* re re) in re 1.264 * [taylor]: Taking taylor expansion of re in re 1.264 * [taylor]: Taking taylor expansion of re in re 1.264 * [taylor]: Taking taylor expansion of (* im im) in re 1.264 * [taylor]: Taking taylor expansion of im in re 1.264 * [taylor]: Taking taylor expansion of im in re 1.266 * [taylor]: Taking taylor expansion of (pow im 1/3) in im 1.266 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log im))) in im 1.266 * [taylor]: Taking taylor expansion of (* 1/3 (log im)) in im 1.266 * [taylor]: Taking taylor expansion of 1/3 in im 1.266 * [taylor]: Taking taylor expansion of (log im) in im 1.266 * [taylor]: Taking taylor expansion of im in im 1.267 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow im 2)) 1/3)) in im 1.267 * [taylor]: Taking taylor expansion of 1/3 in im 1.267 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 2)) 1/3) in im 1.267 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 2))))) in im 1.267 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 2)))) in im 1.267 * [taylor]: Taking taylor expansion of 1/3 in im 1.268 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 2))) in im 1.268 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.268 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.268 * [taylor]: Taking taylor expansion of im in im 1.274 * [taylor]: Taking taylor expansion of (* 1/18 (pow (/ 1 (pow im 5)) 1/3)) in im 1.274 * [taylor]: Taking taylor expansion of 1/18 in im 1.274 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im 1.274 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im 1.274 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im 1.274 * [taylor]: Taking taylor expansion of 1/3 in im 1.274 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 1.274 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 1.274 * [taylor]: Taking taylor expansion of (pow im 5) in im 1.274 * [taylor]: Taking taylor expansion of im in im 1.276 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/3) in (re im) around 0 1.276 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/3) in im 1.276 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))))) in im 1.276 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in im 1.276 * [taylor]: Taking taylor expansion of 1/3 in im 1.277 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 1.277 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 1.277 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.277 * [taylor]: Taking taylor expansion of re in im 1.277 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.277 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.277 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.277 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.277 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.277 * [taylor]: Taking taylor expansion of re in im 1.277 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.277 * [taylor]: Taking taylor expansion of re in im 1.279 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.279 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.279 * [taylor]: Taking taylor expansion of im in im 1.280 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.280 * [taylor]: Taking taylor expansion of im in im 1.283 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/3) in re 1.283 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))))) in re 1.283 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re 1.283 * [taylor]: Taking taylor expansion of 1/3 in re 1.283 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 1.284 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.284 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.284 * [taylor]: Taking taylor expansion of re in re 1.284 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.284 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.284 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.284 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.284 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.284 * [taylor]: Taking taylor expansion of re in re 1.284 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.284 * [taylor]: Taking taylor expansion of re in re 1.285 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.285 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.285 * [taylor]: Taking taylor expansion of im in re 1.285 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.285 * [taylor]: Taking taylor expansion of im in re 1.289 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/3) in re 1.289 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))))) in re 1.289 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re 1.289 * [taylor]: Taking taylor expansion of 1/3 in re 1.289 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 1.289 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.289 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.289 * [taylor]: Taking taylor expansion of re in re 1.289 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.289 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.289 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.289 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.289 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.289 * [taylor]: Taking taylor expansion of re in re 1.290 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.290 * [taylor]: Taking taylor expansion of re in re 1.290 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.290 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.290 * [taylor]: Taking taylor expansion of im in re 1.290 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.290 * [taylor]: Taking taylor expansion of im in re 1.294 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log 2) (log re)))) in im 1.294 * [taylor]: Taking taylor expansion of (* 1/3 (- (log 2) (log re))) in im 1.294 * [taylor]: Taking taylor expansion of 1/3 in im 1.294 * [taylor]: Taking taylor expansion of (- (log 2) (log re)) in im 1.294 * [taylor]: Taking taylor expansion of (log 2) in im 1.294 * [taylor]: Taking taylor expansion of 2 in im 1.294 * [taylor]: Taking taylor expansion of (log re) in im 1.294 * [taylor]: Taking taylor expansion of re in im 1.299 * [taylor]: Taking taylor expansion of 0 in im 1.308 * [taylor]: Taking taylor expansion of (* 1/12 (/ (exp (* 1/3 (- (log 2) (log re)))) (pow im 2))) in im 1.308 * [taylor]: Taking taylor expansion of 1/12 in im 1.308 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log 2) (log re)))) (pow im 2)) in im 1.308 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log 2) (log re)))) in im 1.308 * [taylor]: Taking taylor expansion of (* 1/3 (- (log 2) (log re))) in im 1.308 * [taylor]: Taking taylor expansion of 1/3 in im 1.308 * [taylor]: Taking taylor expansion of (- (log 2) (log re)) in im 1.308 * [taylor]: Taking taylor expansion of (log 2) in im 1.308 * [taylor]: Taking taylor expansion of 2 in im 1.309 * [taylor]: Taking taylor expansion of (log re) in im 1.309 * [taylor]: Taking taylor expansion of re in im 1.310 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.310 * [taylor]: Taking taylor expansion of im in im 1.334 * [taylor]: Taking taylor expansion of 0 in im 1.335 * [approximate]: Taking taylor expansion of (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/3) in (re im) around 0 1.335 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/3) in im 1.335 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in im 1.335 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 1.335 * [taylor]: Taking taylor expansion of 1/3 in im 1.335 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 1.335 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.335 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.335 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.335 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.335 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.335 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.335 * [taylor]: Taking taylor expansion of -1 in im 1.335 * [taylor]: Taking taylor expansion of re in im 1.335 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.335 * [taylor]: Taking taylor expansion of -1 in im 1.335 * [taylor]: Taking taylor expansion of re in im 1.335 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.335 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.335 * [taylor]: Taking taylor expansion of -1 in im 1.335 * [taylor]: Taking taylor expansion of im in im 1.336 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.336 * [taylor]: Taking taylor expansion of -1 in im 1.336 * [taylor]: Taking taylor expansion of im in im 1.339 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.339 * [taylor]: Taking taylor expansion of re in im 1.340 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/3) in re 1.340 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in re 1.340 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 1.340 * [taylor]: Taking taylor expansion of 1/3 in re 1.340 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.340 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.340 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.340 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.340 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.340 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.340 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.340 * [taylor]: Taking taylor expansion of -1 in re 1.340 * [taylor]: Taking taylor expansion of re in re 1.340 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.340 * [taylor]: Taking taylor expansion of -1 in re 1.340 * [taylor]: Taking taylor expansion of re in re 1.340 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.340 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.341 * [taylor]: Taking taylor expansion of -1 in re 1.341 * [taylor]: Taking taylor expansion of im in re 1.341 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.341 * [taylor]: Taking taylor expansion of -1 in re 1.341 * [taylor]: Taking taylor expansion of im in re 1.343 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.343 * [taylor]: Taking taylor expansion of re in re 1.349 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/3) in re 1.349 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in re 1.349 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 1.349 * [taylor]: Taking taylor expansion of 1/3 in re 1.349 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.349 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.349 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.349 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.349 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.349 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.349 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.349 * [taylor]: Taking taylor expansion of -1 in re 1.349 * [taylor]: Taking taylor expansion of re in re 1.349 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.349 * [taylor]: Taking taylor expansion of -1 in re 1.349 * [taylor]: Taking taylor expansion of re in re 1.350 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.350 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.350 * [taylor]: Taking taylor expansion of -1 in re 1.350 * [taylor]: Taking taylor expansion of im in re 1.350 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.350 * [taylor]: Taking taylor expansion of -1 in re 1.350 * [taylor]: Taking taylor expansion of im in re 1.353 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.353 * [taylor]: Taking taylor expansion of re in re 1.358 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re)))) in im 1.358 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re))) in im 1.358 * [taylor]: Taking taylor expansion of 1/3 in im 1.358 * [taylor]: Taking taylor expansion of (+ (log (/ 1/2 (pow im 2))) (log re)) in im 1.358 * [taylor]: Taking taylor expansion of (log (/ 1/2 (pow im 2))) in im 1.358 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.358 * [taylor]: Taking taylor expansion of 1/2 in im 1.358 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.358 * [taylor]: Taking taylor expansion of im in im 1.359 * [taylor]: Taking taylor expansion of (log re) in im 1.359 * [taylor]: Taking taylor expansion of re in im 1.369 * [taylor]: Taking taylor expansion of 0 in im 1.380 * [taylor]: Taking taylor expansion of (* -1/12 (/ (exp (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re)))) (pow im 2))) in im 1.380 * [taylor]: Taking taylor expansion of -1/12 in im 1.380 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re)))) (pow im 2)) in im 1.380 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re)))) in im 1.380 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re))) in im 1.380 * [taylor]: Taking taylor expansion of 1/3 in im 1.380 * [taylor]: Taking taylor expansion of (+ (log (/ 1/2 (pow im 2))) (log re)) in im 1.380 * [taylor]: Taking taylor expansion of (log (/ 1/2 (pow im 2))) in im 1.380 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.380 * [taylor]: Taking taylor expansion of 1/2 in im 1.380 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.380 * [taylor]: Taking taylor expansion of im in im 1.381 * [taylor]: Taking taylor expansion of (log re) in im 1.381 * [taylor]: Taking taylor expansion of re in im 1.382 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.382 * [taylor]: Taking taylor expansion of im in im 1.410 * [taylor]: Taking taylor expansion of 0 in im 1.411 * * * [progress]: simplifying candidates 1.412 * [simplify]: Simplifying using # : (expm1 (+ (* 1 (hypot re im)) re)) (log1p (+ (* 1 (hypot re im)) re)) (* (exp (* 1 (hypot re im))) (exp re)) (log (+ (* 1 (hypot re im)) re)) (exp (+ (* 1 (hypot re im)) re)) (* (cbrt (+ (* 1 (hypot re im)) re)) (cbrt (+ (* 1 (hypot re im)) re))) (cbrt (+ (* 1 (hypot re im)) re)) (* (* (+ (* 1 (hypot re im)) re) (+ (* 1 (hypot re im)) re)) (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)) (+ (pow (* 1 (hypot re im)) 3) (pow re 3)) (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (- (* re re) (* (* 1 (hypot re im)) re))) (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re)) (- (* 1 (hypot re im)) re) (+ (hypot re im) re) (expm1 (+ (* 1 (hypot re im)) re)) (log1p (+ (* 1 (hypot re im)) re)) (* (exp (* 1 (hypot re im))) (exp re)) (log (+ (* 1 (hypot re im)) re)) (exp (+ (* 1 (hypot re im)) re)) (* (cbrt (+ (* 1 (hypot re im)) re)) (cbrt (+ (* 1 (hypot re im)) re))) (cbrt (+ (* 1 (hypot re im)) re)) (* (* (+ (* 1 (hypot re im)) re) (+ (* 1 (hypot re im)) re)) (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)) (+ (pow (* 1 (hypot re im)) 3) (pow re 3)) (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (- (* re re) (* (* 1 (hypot re im)) re))) (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re)) (- (* 1 (hypot re im)) re) (+ (hypot re im) re) (expm1 (+ (* 1 (hypot re im)) re)) (log1p (+ (* 1 (hypot re im)) re)) (* (exp (* 1 (hypot re im))) (exp re)) (log (+ (* 1 (hypot re im)) re)) (exp (+ (* 1 (hypot re im)) re)) (* (cbrt (+ (* 1 (hypot re im)) re)) (cbrt (+ (* 1 (hypot re im)) re))) (cbrt (+ (* 1 (hypot re im)) re)) (* (* (+ (* 1 (hypot re im)) re) (+ (* 1 (hypot re im)) re)) (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)) (+ (pow (* 1 (hypot re im)) 3) (pow re 3)) (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (- (* re re) (* (* 1 (hypot re im)) re))) (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re)) (- (* 1 (hypot re im)) re) (+ (hypot re im) re) (expm1 (cbrt (+ (* 1 (hypot re im)) re))) (log1p (cbrt (+ (* 1 (hypot re im)) re))) (log (cbrt (+ (* 1 (hypot re im)) re))) (exp (cbrt (+ (* 1 (hypot re im)) re))) (cbrt (* (cbrt (+ (* 1 (hypot re im)) re)) (cbrt (+ (* 1 (hypot re im)) re)))) (cbrt (cbrt (+ (* 1 (hypot re im)) re))) (cbrt (sqrt (+ (* 1 (hypot re im)) re))) (cbrt (sqrt (+ (* 1 (hypot re im)) re))) (cbrt 1) (cbrt (+ (* 1 (hypot re im)) re)) (cbrt 1) (cbrt (+ (hypot re im) re)) (cbrt (+ (pow (* 1 (hypot re im)) 3) (pow re 3))) (cbrt (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (- (* re re) (* (* 1 (hypot re im)) re)))) (cbrt (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re))) (cbrt (- (* 1 (hypot re im)) re)) (* (cbrt (cbrt (+ (* 1 (hypot re im)) re))) (cbrt (cbrt (+ (* 1 (hypot re im)) re)))) (cbrt (cbrt (+ (* 1 (hypot re im)) re))) (* (* (cbrt (+ (* 1 (hypot re im)) re)) (cbrt (+ (* 1 (hypot re im)) re))) (cbrt (+ (* 1 (hypot re im)) re))) (sqrt (cbrt (+ (* 1 (hypot re im)) re))) (sqrt (cbrt (+ (* 1 (hypot re im)) re))) (+ re im) (* 2 re) 0 (+ re im) (* 2 re) 0 (+ re im) (* 2 re) 0 (+ (pow im 1/3) (+ (* 1/3 (* re (pow (/ 1 (pow im 2)) 1/3))) (* 1/18 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3))))) (exp (* 1/3 (- (log 2) (log (/ 1 re))))) (exp (* 1/3 (- (+ (log (/ -1 re)) (log 1/2)) (* 2 (log (/ -1 im)))))) 1.417 * * [simplify]: iteration 0 : 201 enodes (cost 380 ) 1.421 * * [simplify]: iteration 1 : 558 enodes (cost 326 ) 1.433 * * [simplify]: iteration 2 : 2452 enodes (cost 317 ) 1.477 * * [simplify]: iteration 3 : 5001 enodes (cost 309 ) 1.479 * [simplify]: Simplified to: (expm1 (+ (* 1 (hypot re im)) re)) (log1p (+ (* 1 (hypot re im)) re)) (exp (+ re (hypot re im))) (log (+ (* 1 (hypot re im)) re)) (exp (+ re (hypot re im))) (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))) (cbrt (+ (hypot re im) re)) (pow (fma 1 (hypot re im) re) 3) (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)) (fma (pow re 2) re (pow (hypot re im) 3)) (fma (hypot re im) (- (hypot re im) re) (pow re 2)) (fma (hypot re im) (hypot re im) (- (pow re 2))) (- (hypot re im) re) (fma 1 (hypot re im) re) (expm1 (+ (* 1 (hypot re im)) re)) (log1p (+ (* 1 (hypot re im)) re)) (exp (+ re (hypot re im))) (log (+ (* 1 (hypot re im)) re)) (exp (+ re (hypot re im))) (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))) (cbrt (+ (hypot re im) re)) (pow (fma 1 (hypot re im) re) 3) (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)) (fma (pow re 2) re (pow (hypot re im) 3)) (fma (hypot re im) (- (hypot re im) re) (pow re 2)) (fma (hypot re im) (hypot re im) (- (pow re 2))) (- (hypot re im) re) (fma 1 (hypot re im) re) (expm1 (+ (* 1 (hypot re im)) re)) (log1p (+ (* 1 (hypot re im)) re)) (exp (+ re (hypot re im))) (log (+ (* 1 (hypot re im)) re)) (exp (+ re (hypot re im))) (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))) (cbrt (+ (hypot re im) re)) (pow (fma 1 (hypot re im) re) 3) (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)) (fma (pow re 2) re (pow (hypot re im) 3)) (fma (hypot re im) (- (hypot re im) re) (pow re 2)) (fma (hypot re im) (hypot re im) (- (pow re 2))) (- (hypot re im) re) (fma 1 (hypot re im) re) (expm1 (cbrt (+ (* 1 (hypot re im)) re))) (log1p (cbrt (+ (* 1 (hypot re im)) re))) (log (cbrt (+ (hypot re im) re))) (exp (cbrt (+ (hypot re im) re))) (cbrt (* (cbrt (+ (* 1 (hypot re im)) re)) (cbrt (+ (* 1 (hypot re im)) re)))) (cbrt (cbrt (+ (* 1 (hypot re im)) re))) (cbrt (sqrt (+ (* 1 (hypot re im)) re))) (cbrt (sqrt (+ (* 1 (hypot re im)) re))) 1 (cbrt (+ (hypot re im) re)) 1 (cbrt (+ (hypot re im) re)) (cbrt (+ (pow (* 1 (hypot re im)) 3) (pow re 3))) (cbrt (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (- (* re re) (* (* 1 (hypot re im)) re)))) (cbrt (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re))) (cbrt (- (* 1 (hypot re im)) re)) (* (cbrt (cbrt (+ (* 1 (hypot re im)) re))) (cbrt (cbrt (+ (* 1 (hypot re im)) re)))) (cbrt (cbrt (+ (* 1 (hypot re im)) re))) (fma 1 (hypot re im) re) (sqrt (cbrt (+ (* 1 (hypot re im)) re))) (sqrt (cbrt (+ (* 1 (hypot re im)) re))) (+ re im) (* 2 re) 0 (+ re im) (* 2 re) 0 (+ re im) (* 2 re) 0 (fma (* (pow (/ 1 (pow im 2)) 1/3) 1/3) re (fma (* 1/18 (pow re 2)) (pow (/ 1 (pow im 5)) 1/3) (pow im 1/3))) (* (pow re 1/3) (pow 2 1/3)) (exp (* 1/3 (- (+ (log (/ -1 re)) (log 1/2)) (* 2 (log (/ -1 im)))))) 1.479 * * * [progress]: adding candidates to table 1.764 * * [progress]: iteration 4 / 4 1.764 * * * [progress]: picking best candidate 1.778 * * * * [pick]: Picked # 1.778 * * * [progress]: localizing error 1.794 * * * [progress]: generating rewritten candidates 1.794 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2) 1.795 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2 1 1 1) 1.798 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 2 1) 1.800 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1 1) 1.804 * * * [progress]: generating series expansions 1.804 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2) 1.804 * [approximate]: Taking taylor expansion of (expm1 (log1p (pow (+ re (hypot re im)) 1/3))) in (re im) around 0 1.804 * [taylor]: Taking taylor expansion of (expm1 (log1p (pow (+ re (hypot re im)) 1/3))) in im 1.804 * [taylor]: Rewrote expression to (- (exp (log1p (pow (+ re (hypot re im)) 1/3))) 1) 1.804 * [taylor]: Taking taylor expansion of (exp (log1p (pow (+ re (hypot re im)) 1/3))) in im 1.804 * [taylor]: Taking taylor expansion of (log1p (pow (+ re (hypot re im)) 1/3)) in im 1.805 * [taylor]: Rewrote expression to (log (+ 1 (pow (+ re (hypot re im)) 1/3))) 1.805 * [taylor]: Taking taylor expansion of (+ 1 (pow (+ re (hypot re im)) 1/3)) in im 1.805 * [taylor]: Taking taylor expansion of 1 in im 1.805 * [taylor]: Taking taylor expansion of (pow (+ re (hypot re im)) 1/3) in im 1.805 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ re (hypot re im))))) in im 1.805 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ re (hypot re im)))) in im 1.805 * [taylor]: Taking taylor expansion of 1/3 in im 1.805 * [taylor]: Taking taylor expansion of (log (+ re (hypot re im))) in im 1.805 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.805 * [taylor]: Taking taylor expansion of re in im 1.805 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.805 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.805 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.805 * [taylor]: Taking taylor expansion of (* re re) in im 1.805 * [taylor]: Taking taylor expansion of re in im 1.805 * [taylor]: Taking taylor expansion of re in im 1.805 * [taylor]: Taking taylor expansion of (* im im) in im 1.805 * [taylor]: Taking taylor expansion of im in im 1.805 * [taylor]: Taking taylor expansion of im in im 1.807 * [taylor]: Taking taylor expansion of 1 in im 1.807 * [taylor]: Taking taylor expansion of (expm1 (log1p (pow (+ re (hypot re im)) 1/3))) in re 1.807 * [taylor]: Rewrote expression to (- (exp (log1p (pow (+ re (hypot re im)) 1/3))) 1) 1.807 * [taylor]: Taking taylor expansion of (exp (log1p (pow (+ re (hypot re im)) 1/3))) in re 1.807 * [taylor]: Taking taylor expansion of (log1p (pow (+ re (hypot re im)) 1/3)) in re 1.807 * [taylor]: Rewrote expression to (log (+ 1 (pow (+ re (hypot re im)) 1/3))) 1.807 * [taylor]: Taking taylor expansion of (+ 1 (pow (+ re (hypot re im)) 1/3)) in re 1.807 * [taylor]: Taking taylor expansion of 1 in re 1.807 * [taylor]: Taking taylor expansion of (pow (+ re (hypot re im)) 1/3) in re 1.807 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ re (hypot re im))))) in re 1.807 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ re (hypot re im)))) in re 1.807 * [taylor]: Taking taylor expansion of 1/3 in re 1.807 * [taylor]: Taking taylor expansion of (log (+ re (hypot re im))) in re 1.807 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.807 * [taylor]: Taking taylor expansion of re in re 1.807 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.807 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.807 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.807 * [taylor]: Taking taylor expansion of (* re re) in re 1.807 * [taylor]: Taking taylor expansion of re in re 1.807 * [taylor]: Taking taylor expansion of re in re 1.807 * [taylor]: Taking taylor expansion of (* im im) in re 1.807 * [taylor]: Taking taylor expansion of im in re 1.807 * [taylor]: Taking taylor expansion of im in re 1.809 * [taylor]: Taking taylor expansion of 1 in re 1.809 * [taylor]: Taking taylor expansion of (expm1 (log1p (pow (+ re (hypot re im)) 1/3))) in re 1.809 * [taylor]: Rewrote expression to (- (exp (log1p (pow (+ re (hypot re im)) 1/3))) 1) 1.809 * [taylor]: Taking taylor expansion of (exp (log1p (pow (+ re (hypot re im)) 1/3))) in re 1.809 * [taylor]: Taking taylor expansion of (log1p (pow (+ re (hypot re im)) 1/3)) in re 1.809 * [taylor]: Rewrote expression to (log (+ 1 (pow (+ re (hypot re im)) 1/3))) 1.809 * [taylor]: Taking taylor expansion of (+ 1 (pow (+ re (hypot re im)) 1/3)) in re 1.809 * [taylor]: Taking taylor expansion of 1 in re 1.809 * [taylor]: Taking taylor expansion of (pow (+ re (hypot re im)) 1/3) in re 1.809 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ re (hypot re im))))) in re 1.809 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ re (hypot re im)))) in re 1.809 * [taylor]: Taking taylor expansion of 1/3 in re 1.809 * [taylor]: Taking taylor expansion of (log (+ re (hypot re im))) in re 1.809 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.809 * [taylor]: Taking taylor expansion of re in re 1.809 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.809 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.809 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.809 * [taylor]: Taking taylor expansion of (* re re) in re 1.809 * [taylor]: Taking taylor expansion of re in re 1.809 * [taylor]: Taking taylor expansion of re in re 1.809 * [taylor]: Taking taylor expansion of (* im im) in re 1.809 * [taylor]: Taking taylor expansion of im in re 1.809 * [taylor]: Taking taylor expansion of im in re 1.811 * [taylor]: Taking taylor expansion of 1 in re 1.811 * [taylor]: Taking taylor expansion of (pow im 1/3) in im 1.811 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log im))) in im 1.811 * [taylor]: Taking taylor expansion of (* 1/3 (log im)) in im 1.811 * [taylor]: Taking taylor expansion of 1/3 in im 1.811 * [taylor]: Taking taylor expansion of (log im) in im 1.811 * [taylor]: Taking taylor expansion of im in im 1.814 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow im 2)) 1/3)) in im 1.814 * [taylor]: Taking taylor expansion of 1/3 in im 1.814 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 2)) 1/3) in im 1.815 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 2))))) in im 1.815 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 2)))) in im 1.815 * [taylor]: Taking taylor expansion of 1/3 in im 1.815 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 2))) in im 1.815 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.815 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.815 * [taylor]: Taking taylor expansion of im in im 1.823 * [taylor]: Taking taylor expansion of (* 1/18 (pow (/ 1 (pow im 5)) 1/3)) in im 1.823 * [taylor]: Taking taylor expansion of 1/18 in im 1.823 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im 1.823 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im 1.823 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im 1.823 * [taylor]: Taking taylor expansion of 1/3 in im 1.823 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 1.823 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 1.823 * [taylor]: Taking taylor expansion of (pow im 5) in im 1.824 * [taylor]: Taking taylor expansion of im in im 1.826 * [approximate]: Taking taylor expansion of (expm1 (log1p (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/3))) in (re im) around 0 1.826 * [taylor]: Taking taylor expansion of (expm1 (log1p (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/3))) in im 1.826 * [taylor]: Rewrote expression to (- (exp (log1p (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/3))) 1) 1.826 * [taylor]: Taking taylor expansion of (exp (log1p (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/3))) in im 1.826 * [taylor]: Taking taylor expansion of (log1p (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/3)) in im 1.826 * [taylor]: Rewrote expression to (log (+ 1 (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/3))) 1.826 * [taylor]: Taking taylor expansion of (+ 1 (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/3)) in im 1.826 * [taylor]: Taking taylor expansion of 1 in im 1.826 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/3) in im 1.826 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))))) in im 1.826 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in im 1.826 * [taylor]: Taking taylor expansion of 1/3 in im 1.826 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 1.826 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 1.826 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.826 * [taylor]: Taking taylor expansion of re in im 1.826 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.826 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.826 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.826 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.826 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.826 * [taylor]: Taking taylor expansion of re in im 1.826 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.826 * [taylor]: Taking taylor expansion of re in im 1.826 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.827 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.827 * [taylor]: Taking taylor expansion of im in im 1.827 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.827 * [taylor]: Taking taylor expansion of im in im 1.831 * [taylor]: Taking taylor expansion of 1 in im 1.831 * [taylor]: Taking taylor expansion of (expm1 (log1p (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/3))) in re 1.831 * [taylor]: Rewrote expression to (- (exp (log1p (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/3))) 1) 1.831 * [taylor]: Taking taylor expansion of (exp (log1p (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/3))) in re 1.831 * [taylor]: Taking taylor expansion of (log1p (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/3)) in re 1.831 * [taylor]: Rewrote expression to (log (+ 1 (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/3))) 1.831 * [taylor]: Taking taylor expansion of (+ 1 (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/3)) in re 1.831 * [taylor]: Taking taylor expansion of 1 in re 1.831 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/3) in re 1.831 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))))) in re 1.831 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re 1.831 * [taylor]: Taking taylor expansion of 1/3 in re 1.831 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 1.831 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.831 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.831 * [taylor]: Taking taylor expansion of re in re 1.835 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.835 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.835 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.835 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.835 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.835 * [taylor]: Taking taylor expansion of re in re 1.835 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.835 * [taylor]: Taking taylor expansion of re in re 1.836 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.836 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.836 * [taylor]: Taking taylor expansion of im in re 1.836 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.836 * [taylor]: Taking taylor expansion of im in re 1.841 * [taylor]: Taking taylor expansion of 1 in re 1.841 * [taylor]: Taking taylor expansion of (expm1 (log1p (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/3))) in re 1.841 * [taylor]: Rewrote expression to (- (exp (log1p (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/3))) 1) 1.841 * [taylor]: Taking taylor expansion of (exp (log1p (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/3))) in re 1.841 * [taylor]: Taking taylor expansion of (log1p (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/3)) in re 1.841 * [taylor]: Rewrote expression to (log (+ 1 (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/3))) 1.841 * [taylor]: Taking taylor expansion of (+ 1 (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/3)) in re 1.841 * [taylor]: Taking taylor expansion of 1 in re 1.841 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/3) in re 1.841 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))))) in re 1.841 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re 1.841 * [taylor]: Taking taylor expansion of 1/3 in re 1.841 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 1.841 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.841 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.841 * [taylor]: Taking taylor expansion of re in re 1.842 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.842 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.842 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.842 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.842 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.842 * [taylor]: Taking taylor expansion of re in re 1.842 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.842 * [taylor]: Taking taylor expansion of re in re 1.842 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.842 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.842 * [taylor]: Taking taylor expansion of im in re 1.842 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.842 * [taylor]: Taking taylor expansion of im in re 1.847 * [taylor]: Taking taylor expansion of 1 in re 1.848 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log 2) (log re)))) in im 1.848 * [taylor]: Taking taylor expansion of (* 1/3 (- (log 2) (log re))) in im 1.848 * [taylor]: Taking taylor expansion of 1/3 in im 1.848 * [taylor]: Taking taylor expansion of (- (log 2) (log re)) in im 1.848 * [taylor]: Taking taylor expansion of (log 2) in im 1.848 * [taylor]: Taking taylor expansion of 2 in im 1.848 * [taylor]: Taking taylor expansion of (log re) in im 1.848 * [taylor]: Taking taylor expansion of re in im 1.855 * [taylor]: Taking taylor expansion of 0 in im 1.869 * [taylor]: Taking taylor expansion of (* 1/12 (/ (exp (* 1/3 (- (log 2) (log re)))) (pow im 2))) in im 1.869 * [taylor]: Taking taylor expansion of 1/12 in im 1.869 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log 2) (log re)))) (pow im 2)) in im 1.869 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log 2) (log re)))) in im 1.869 * [taylor]: Taking taylor expansion of (* 1/3 (- (log 2) (log re))) in im 1.869 * [taylor]: Taking taylor expansion of 1/3 in im 1.869 * [taylor]: Taking taylor expansion of (- (log 2) (log re)) in im 1.869 * [taylor]: Taking taylor expansion of (log 2) in im 1.869 * [taylor]: Taking taylor expansion of 2 in im 1.870 * [taylor]: Taking taylor expansion of (log re) in im 1.870 * [taylor]: Taking taylor expansion of re in im 1.871 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.871 * [taylor]: Taking taylor expansion of im in im 1.901 * [taylor]: Taking taylor expansion of 0 in im 1.902 * [approximate]: Taking taylor expansion of (expm1 (log1p (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/3))) in (re im) around 0 1.902 * [taylor]: Taking taylor expansion of (expm1 (log1p (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/3))) in im 1.902 * [taylor]: Rewrote expression to (- (exp (log1p (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/3))) 1) 1.902 * [taylor]: Taking taylor expansion of (exp (log1p (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/3))) in im 1.902 * [taylor]: Taking taylor expansion of (log1p (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/3)) in im 1.902 * [taylor]: Rewrote expression to (log (+ 1 (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/3))) 1.902 * [taylor]: Taking taylor expansion of (+ 1 (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/3)) in im 1.902 * [taylor]: Taking taylor expansion of 1 in im 1.902 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/3) in im 1.902 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in im 1.902 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 1.902 * [taylor]: Taking taylor expansion of 1/3 in im 1.902 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 1.902 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.902 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.902 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.902 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.902 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.902 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.902 * [taylor]: Taking taylor expansion of -1 in im 1.902 * [taylor]: Taking taylor expansion of re in im 1.902 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.902 * [taylor]: Taking taylor expansion of -1 in im 1.902 * [taylor]: Taking taylor expansion of re in im 1.902 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.902 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.902 * [taylor]: Taking taylor expansion of -1 in im 1.902 * [taylor]: Taking taylor expansion of im in im 1.903 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.903 * [taylor]: Taking taylor expansion of -1 in im 1.903 * [taylor]: Taking taylor expansion of im in im 1.905 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.905 * [taylor]: Taking taylor expansion of re in im 1.907 * [taylor]: Taking taylor expansion of 1 in im 1.907 * [taylor]: Taking taylor expansion of (expm1 (log1p (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/3))) in re 1.907 * [taylor]: Rewrote expression to (- (exp (log1p (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/3))) 1) 1.907 * [taylor]: Taking taylor expansion of (exp (log1p (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/3))) in re 1.907 * [taylor]: Taking taylor expansion of (log1p (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/3)) in re 1.907 * [taylor]: Rewrote expression to (log (+ 1 (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/3))) 1.907 * [taylor]: Taking taylor expansion of (+ 1 (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/3)) in re 1.907 * [taylor]: Taking taylor expansion of 1 in re 1.907 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/3) in re 1.907 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in re 1.907 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 1.907 * [taylor]: Taking taylor expansion of 1/3 in re 1.907 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.907 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.907 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.907 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.907 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.907 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.907 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.907 * [taylor]: Taking taylor expansion of -1 in re 1.907 * [taylor]: Taking taylor expansion of re in re 1.907 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.907 * [taylor]: Taking taylor expansion of -1 in re 1.907 * [taylor]: Taking taylor expansion of re in re 1.908 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.908 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.908 * [taylor]: Taking taylor expansion of -1 in re 1.908 * [taylor]: Taking taylor expansion of im in re 1.908 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.908 * [taylor]: Taking taylor expansion of -1 in re 1.908 * [taylor]: Taking taylor expansion of im in re 1.911 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.911 * [taylor]: Taking taylor expansion of re in re 1.917 * [taylor]: Taking taylor expansion of 1 in re 1.917 * [taylor]: Taking taylor expansion of (expm1 (log1p (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/3))) in re 1.917 * [taylor]: Rewrote expression to (- (exp (log1p (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/3))) 1) 1.917 * [taylor]: Taking taylor expansion of (exp (log1p (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/3))) in re 1.917 * [taylor]: Taking taylor expansion of (log1p (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/3)) in re 1.917 * [taylor]: Rewrote expression to (log (+ 1 (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/3))) 1.917 * [taylor]: Taking taylor expansion of (+ 1 (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/3)) in re 1.917 * [taylor]: Taking taylor expansion of 1 in re 1.917 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/3) in re 1.917 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in re 1.917 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 1.917 * [taylor]: Taking taylor expansion of 1/3 in re 1.917 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.917 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.917 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.917 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.917 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.917 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.917 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.917 * [taylor]: Taking taylor expansion of -1 in re 1.917 * [taylor]: Taking taylor expansion of re in re 1.917 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.917 * [taylor]: Taking taylor expansion of -1 in re 1.917 * [taylor]: Taking taylor expansion of re in re 1.918 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.918 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.918 * [taylor]: Taking taylor expansion of -1 in re 1.918 * [taylor]: Taking taylor expansion of im in re 1.918 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.918 * [taylor]: Taking taylor expansion of -1 in re 1.918 * [taylor]: Taking taylor expansion of im in re 1.926 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.926 * [taylor]: Taking taylor expansion of re in re 1.932 * [taylor]: Taking taylor expansion of 1 in re 1.932 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re)))) in im 1.932 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re))) in im 1.932 * [taylor]: Taking taylor expansion of 1/3 in im 1.932 * [taylor]: Taking taylor expansion of (+ (log (/ 1/2 (pow im 2))) (log re)) in im 1.932 * [taylor]: Taking taylor expansion of (log (/ 1/2 (pow im 2))) in im 1.932 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.932 * [taylor]: Taking taylor expansion of 1/2 in im 1.932 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.932 * [taylor]: Taking taylor expansion of im in im 1.933 * [taylor]: Taking taylor expansion of (log re) in im 1.933 * [taylor]: Taking taylor expansion of re in im 1.942 * [taylor]: Taking taylor expansion of 0 in im 1.956 * [taylor]: Taking taylor expansion of (- (* 1/12 (/ (exp (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re)))) (pow im 2)))) in im 1.956 * [taylor]: Taking taylor expansion of (* 1/12 (/ (exp (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re)))) (pow im 2))) in im 1.956 * [taylor]: Taking taylor expansion of 1/12 in im 1.956 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re)))) (pow im 2)) in im 1.956 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re)))) in im 1.956 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re))) in im 1.956 * [taylor]: Taking taylor expansion of 1/3 in im 1.956 * [taylor]: Taking taylor expansion of (+ (log (/ 1/2 (pow im 2))) (log re)) in im 1.956 * [taylor]: Taking taylor expansion of (log (/ 1/2 (pow im 2))) in im 1.956 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.956 * [taylor]: Taking taylor expansion of 1/2 in im 1.956 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.956 * [taylor]: Taking taylor expansion of im in im 1.957 * [taylor]: Taking taylor expansion of (log re) in im 1.957 * [taylor]: Taking taylor expansion of re in im 1.958 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.958 * [taylor]: Taking taylor expansion of im in im 1.991 * [taylor]: Taking taylor expansion of 0 in im 1.992 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2 1 1 1) 1.992 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 1.992 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.992 * [taylor]: Taking taylor expansion of re in im 1.992 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.992 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.992 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.992 * [taylor]: Taking taylor expansion of (* re re) in im 1.992 * [taylor]: Taking taylor expansion of re in im 1.992 * [taylor]: Taking taylor expansion of re in im 1.992 * [taylor]: Taking taylor expansion of (* im im) in im 1.992 * [taylor]: Taking taylor expansion of im in im 1.992 * [taylor]: Taking taylor expansion of im in im 1.994 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.994 * [taylor]: Taking taylor expansion of re in re 1.994 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.994 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.994 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.994 * [taylor]: Taking taylor expansion of (* re re) in re 1.994 * [taylor]: Taking taylor expansion of re in re 1.994 * [taylor]: Taking taylor expansion of re in re 1.994 * [taylor]: Taking taylor expansion of (* im im) in re 1.994 * [taylor]: Taking taylor expansion of im in re 1.994 * [taylor]: Taking taylor expansion of im in re 1.995 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.995 * [taylor]: Taking taylor expansion of re in re 1.995 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.995 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.995 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.995 * [taylor]: Taking taylor expansion of (* re re) in re 1.995 * [taylor]: Taking taylor expansion of re in re 1.995 * [taylor]: Taking taylor expansion of re in re 1.995 * [taylor]: Taking taylor expansion of (* im im) in re 1.995 * [taylor]: Taking taylor expansion of im in re 1.995 * [taylor]: Taking taylor expansion of im in re 1.996 * [taylor]: Taking taylor expansion of im in im 1.997 * [taylor]: Taking taylor expansion of 1 in im 1.998 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.998 * [taylor]: Taking taylor expansion of 1/2 in im 1.998 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.998 * [taylor]: Taking taylor expansion of im in im 2.001 * [taylor]: Taking taylor expansion of 0 in im 2.002 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 2.002 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 2.002 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.002 * [taylor]: Taking taylor expansion of re in im 2.002 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.002 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.002 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.002 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.002 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.002 * [taylor]: Taking taylor expansion of re in im 2.002 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.002 * [taylor]: Taking taylor expansion of re in im 2.003 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.003 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.003 * [taylor]: Taking taylor expansion of im in im 2.003 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.003 * [taylor]: Taking taylor expansion of im in im 2.006 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.006 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.006 * [taylor]: Taking taylor expansion of re in re 2.006 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.006 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.006 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.006 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.006 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.006 * [taylor]: Taking taylor expansion of re in re 2.006 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.006 * [taylor]: Taking taylor expansion of re in re 2.007 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.007 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.007 * [taylor]: Taking taylor expansion of im in re 2.007 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.007 * [taylor]: Taking taylor expansion of im in re 2.009 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.009 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.015 * [taylor]: Taking taylor expansion of re in re 2.015 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.015 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.015 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.015 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.015 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.015 * [taylor]: Taking taylor expansion of re in re 2.016 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.016 * [taylor]: Taking taylor expansion of re in re 2.016 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.016 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.016 * [taylor]: Taking taylor expansion of im in re 2.016 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.016 * [taylor]: Taking taylor expansion of im in re 2.019 * [taylor]: Taking taylor expansion of 2 in im 2.020 * [taylor]: Taking taylor expansion of 0 in im 2.023 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.023 * [taylor]: Taking taylor expansion of 1/2 in im 2.023 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.023 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.023 * [taylor]: Taking taylor expansion of im in im 2.027 * [taylor]: Taking taylor expansion of 0 in im 2.029 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 2.029 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 2.029 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.029 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.029 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.029 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.029 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.029 * [taylor]: Taking taylor expansion of -1 in im 2.029 * [taylor]: Taking taylor expansion of re in im 2.029 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.029 * [taylor]: Taking taylor expansion of -1 in im 2.029 * [taylor]: Taking taylor expansion of re in im 2.029 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.029 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.029 * [taylor]: Taking taylor expansion of -1 in im 2.029 * [taylor]: Taking taylor expansion of im in im 2.030 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.030 * [taylor]: Taking taylor expansion of -1 in im 2.030 * [taylor]: Taking taylor expansion of im in im 2.033 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.033 * [taylor]: Taking taylor expansion of re in im 2.033 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.033 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.033 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.033 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.033 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.033 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.033 * [taylor]: Taking taylor expansion of -1 in re 2.033 * [taylor]: Taking taylor expansion of re in re 2.033 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.033 * [taylor]: Taking taylor expansion of -1 in re 2.033 * [taylor]: Taking taylor expansion of re in re 2.034 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.034 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.034 * [taylor]: Taking taylor expansion of -1 in re 2.034 * [taylor]: Taking taylor expansion of im in re 2.034 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.034 * [taylor]: Taking taylor expansion of -1 in re 2.034 * [taylor]: Taking taylor expansion of im in re 2.036 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.036 * [taylor]: Taking taylor expansion of re in re 2.037 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.037 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.037 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.037 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.037 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.037 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.037 * [taylor]: Taking taylor expansion of -1 in re 2.037 * [taylor]: Taking taylor expansion of re in re 2.037 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.037 * [taylor]: Taking taylor expansion of -1 in re 2.037 * [taylor]: Taking taylor expansion of re in re 2.038 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.038 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.038 * [taylor]: Taking taylor expansion of -1 in re 2.038 * [taylor]: Taking taylor expansion of im in re 2.038 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.038 * [taylor]: Taking taylor expansion of -1 in re 2.038 * [taylor]: Taking taylor expansion of im in re 2.040 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.040 * [taylor]: Taking taylor expansion of re in re 2.041 * [taylor]: Taking taylor expansion of 0 in im 2.042 * [taylor]: Taking taylor expansion of 0 in im 2.045 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.045 * [taylor]: Taking taylor expansion of 1/2 in im 2.045 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.045 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.045 * [taylor]: Taking taylor expansion of im in im 2.051 * [taylor]: Taking taylor expansion of 0 in im 2.052 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 2 1) 2.052 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 2.052 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 2.052 * [taylor]: Taking taylor expansion of re in im 2.052 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.052 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.052 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.052 * [taylor]: Taking taylor expansion of (* re re) in im 2.052 * [taylor]: Taking taylor expansion of re in im 2.052 * [taylor]: Taking taylor expansion of re in im 2.052 * [taylor]: Taking taylor expansion of (* im im) in im 2.052 * [taylor]: Taking taylor expansion of im in im 2.052 * [taylor]: Taking taylor expansion of im in im 2.054 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.054 * [taylor]: Taking taylor expansion of re in re 2.054 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.054 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.054 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.054 * [taylor]: Taking taylor expansion of (* re re) in re 2.054 * [taylor]: Taking taylor expansion of re in re 2.054 * [taylor]: Taking taylor expansion of re in re 2.054 * [taylor]: Taking taylor expansion of (* im im) in re 2.054 * [taylor]: Taking taylor expansion of im in re 2.054 * [taylor]: Taking taylor expansion of im in re 2.055 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.055 * [taylor]: Taking taylor expansion of re in re 2.055 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.055 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.055 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.055 * [taylor]: Taking taylor expansion of (* re re) in re 2.055 * [taylor]: Taking taylor expansion of re in re 2.055 * [taylor]: Taking taylor expansion of re in re 2.055 * [taylor]: Taking taylor expansion of (* im im) in re 2.055 * [taylor]: Taking taylor expansion of im in re 2.055 * [taylor]: Taking taylor expansion of im in re 2.056 * [taylor]: Taking taylor expansion of im in im 2.057 * [taylor]: Taking taylor expansion of 1 in im 2.058 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.058 * [taylor]: Taking taylor expansion of 1/2 in im 2.058 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.058 * [taylor]: Taking taylor expansion of im in im 2.061 * [taylor]: Taking taylor expansion of 0 in im 2.062 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 2.062 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 2.062 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.062 * [taylor]: Taking taylor expansion of re in im 2.062 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.062 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.062 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.062 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.062 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.062 * [taylor]: Taking taylor expansion of re in im 2.063 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.063 * [taylor]: Taking taylor expansion of re in im 2.063 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.063 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.063 * [taylor]: Taking taylor expansion of im in im 2.063 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.063 * [taylor]: Taking taylor expansion of im in im 2.066 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.066 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.066 * [taylor]: Taking taylor expansion of re in re 2.066 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.066 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.066 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.066 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.066 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.066 * [taylor]: Taking taylor expansion of re in re 2.066 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.066 * [taylor]: Taking taylor expansion of re in re 2.067 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.067 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.067 * [taylor]: Taking taylor expansion of im in re 2.067 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.067 * [taylor]: Taking taylor expansion of im in re 2.069 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.069 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.069 * [taylor]: Taking taylor expansion of re in re 2.070 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.070 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.070 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.070 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.070 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.070 * [taylor]: Taking taylor expansion of re in re 2.070 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.070 * [taylor]: Taking taylor expansion of re in re 2.071 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.071 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.071 * [taylor]: Taking taylor expansion of im in re 2.071 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.071 * [taylor]: Taking taylor expansion of im in re 2.073 * [taylor]: Taking taylor expansion of 2 in im 2.074 * [taylor]: Taking taylor expansion of 0 in im 2.077 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.077 * [taylor]: Taking taylor expansion of 1/2 in im 2.077 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.077 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.077 * [taylor]: Taking taylor expansion of im in im 2.082 * [taylor]: Taking taylor expansion of 0 in im 2.084 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 2.084 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 2.084 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.084 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.084 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.084 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.084 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.084 * [taylor]: Taking taylor expansion of -1 in im 2.084 * [taylor]: Taking taylor expansion of re in im 2.084 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.084 * [taylor]: Taking taylor expansion of -1 in im 2.084 * [taylor]: Taking taylor expansion of re in im 2.084 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.084 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.084 * [taylor]: Taking taylor expansion of -1 in im 2.084 * [taylor]: Taking taylor expansion of im in im 2.084 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.084 * [taylor]: Taking taylor expansion of -1 in im 2.085 * [taylor]: Taking taylor expansion of im in im 2.088 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.088 * [taylor]: Taking taylor expansion of re in im 2.088 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.088 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.088 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.088 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.088 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.088 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.088 * [taylor]: Taking taylor expansion of -1 in re 2.088 * [taylor]: Taking taylor expansion of re in re 2.088 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.088 * [taylor]: Taking taylor expansion of -1 in re 2.088 * [taylor]: Taking taylor expansion of re in re 2.089 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.089 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.089 * [taylor]: Taking taylor expansion of -1 in re 2.089 * [taylor]: Taking taylor expansion of im in re 2.089 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.089 * [taylor]: Taking taylor expansion of -1 in re 2.089 * [taylor]: Taking taylor expansion of im in re 2.091 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.091 * [taylor]: Taking taylor expansion of re in re 2.092 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.092 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.092 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.092 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.092 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.092 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.092 * [taylor]: Taking taylor expansion of -1 in re 2.092 * [taylor]: Taking taylor expansion of re in re 2.092 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.092 * [taylor]: Taking taylor expansion of -1 in re 2.092 * [taylor]: Taking taylor expansion of re in re 2.092 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.092 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.092 * [taylor]: Taking taylor expansion of -1 in re 2.093 * [taylor]: Taking taylor expansion of im in re 2.093 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.093 * [taylor]: Taking taylor expansion of -1 in re 2.093 * [taylor]: Taking taylor expansion of im in re 2.095 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.095 * [taylor]: Taking taylor expansion of re in re 2.096 * [taylor]: Taking taylor expansion of 0 in im 2.097 * [taylor]: Taking taylor expansion of 0 in im 2.106 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.106 * [taylor]: Taking taylor expansion of 1/2 in im 2.106 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.106 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.106 * [taylor]: Taking taylor expansion of im in im 2.111 * [taylor]: Taking taylor expansion of 0 in im 2.112 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1 1) 2.112 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 2.112 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 2.112 * [taylor]: Taking taylor expansion of re in im 2.113 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.113 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.113 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.113 * [taylor]: Taking taylor expansion of (* re re) in im 2.113 * [taylor]: Taking taylor expansion of re in im 2.113 * [taylor]: Taking taylor expansion of re in im 2.113 * [taylor]: Taking taylor expansion of (* im im) in im 2.113 * [taylor]: Taking taylor expansion of im in im 2.113 * [taylor]: Taking taylor expansion of im in im 2.114 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.114 * [taylor]: Taking taylor expansion of re in re 2.114 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.114 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.114 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.114 * [taylor]: Taking taylor expansion of (* re re) in re 2.114 * [taylor]: Taking taylor expansion of re in re 2.114 * [taylor]: Taking taylor expansion of re in re 2.114 * [taylor]: Taking taylor expansion of (* im im) in re 2.114 * [taylor]: Taking taylor expansion of im in re 2.114 * [taylor]: Taking taylor expansion of im in re 2.115 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.115 * [taylor]: Taking taylor expansion of re in re 2.115 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.116 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.116 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.116 * [taylor]: Taking taylor expansion of (* re re) in re 2.116 * [taylor]: Taking taylor expansion of re in re 2.116 * [taylor]: Taking taylor expansion of re in re 2.116 * [taylor]: Taking taylor expansion of (* im im) in re 2.116 * [taylor]: Taking taylor expansion of im in re 2.116 * [taylor]: Taking taylor expansion of im in re 2.117 * [taylor]: Taking taylor expansion of im in im 2.117 * [taylor]: Taking taylor expansion of 1 in im 2.119 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.119 * [taylor]: Taking taylor expansion of 1/2 in im 2.119 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.119 * [taylor]: Taking taylor expansion of im in im 2.122 * [taylor]: Taking taylor expansion of 0 in im 2.123 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 2.123 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 2.123 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.123 * [taylor]: Taking taylor expansion of re in im 2.123 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.123 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.123 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.123 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.123 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.123 * [taylor]: Taking taylor expansion of re in im 2.123 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.123 * [taylor]: Taking taylor expansion of re in im 2.123 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.123 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.123 * [taylor]: Taking taylor expansion of im in im 2.123 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.124 * [taylor]: Taking taylor expansion of im in im 2.126 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.126 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.126 * [taylor]: Taking taylor expansion of re in re 2.127 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.127 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.127 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.127 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.127 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.127 * [taylor]: Taking taylor expansion of re in re 2.127 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.127 * [taylor]: Taking taylor expansion of re in re 2.127 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.127 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.127 * [taylor]: Taking taylor expansion of im in re 2.127 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.127 * [taylor]: Taking taylor expansion of im in re 2.130 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.130 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.130 * [taylor]: Taking taylor expansion of re in re 2.130 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.130 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.130 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.130 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.130 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.130 * [taylor]: Taking taylor expansion of re in re 2.131 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.131 * [taylor]: Taking taylor expansion of re in re 2.131 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.131 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.131 * [taylor]: Taking taylor expansion of im in re 2.131 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.131 * [taylor]: Taking taylor expansion of im in re 2.134 * [taylor]: Taking taylor expansion of 2 in im 2.135 * [taylor]: Taking taylor expansion of 0 in im 2.138 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.138 * [taylor]: Taking taylor expansion of 1/2 in im 2.138 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.138 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.138 * [taylor]: Taking taylor expansion of im in im 2.142 * [taylor]: Taking taylor expansion of 0 in im 2.144 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 2.144 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 2.144 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.144 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.144 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.144 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.144 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.144 * [taylor]: Taking taylor expansion of -1 in im 2.144 * [taylor]: Taking taylor expansion of re in im 2.144 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.144 * [taylor]: Taking taylor expansion of -1 in im 2.144 * [taylor]: Taking taylor expansion of re in im 2.144 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.144 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.144 * [taylor]: Taking taylor expansion of -1 in im 2.144 * [taylor]: Taking taylor expansion of im in im 2.145 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.145 * [taylor]: Taking taylor expansion of -1 in im 2.145 * [taylor]: Taking taylor expansion of im in im 2.148 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.148 * [taylor]: Taking taylor expansion of re in im 2.148 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.148 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.148 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.148 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.148 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.148 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.148 * [taylor]: Taking taylor expansion of -1 in re 2.148 * [taylor]: Taking taylor expansion of re in re 2.148 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.148 * [taylor]: Taking taylor expansion of -1 in re 2.148 * [taylor]: Taking taylor expansion of re in re 2.148 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.148 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.149 * [taylor]: Taking taylor expansion of -1 in re 2.149 * [taylor]: Taking taylor expansion of im in re 2.149 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.149 * [taylor]: Taking taylor expansion of -1 in re 2.149 * [taylor]: Taking taylor expansion of im in re 2.151 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.151 * [taylor]: Taking taylor expansion of re in re 2.151 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.152 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.152 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.152 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.152 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.152 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.152 * [taylor]: Taking taylor expansion of -1 in re 2.152 * [taylor]: Taking taylor expansion of re in re 2.152 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.152 * [taylor]: Taking taylor expansion of -1 in re 2.152 * [taylor]: Taking taylor expansion of re in re 2.152 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.152 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.152 * [taylor]: Taking taylor expansion of -1 in re 2.152 * [taylor]: Taking taylor expansion of im in re 2.152 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.152 * [taylor]: Taking taylor expansion of -1 in re 2.152 * [taylor]: Taking taylor expansion of im in re 2.155 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.155 * [taylor]: Taking taylor expansion of re in re 2.156 * [taylor]: Taking taylor expansion of 0 in im 2.157 * [taylor]: Taking taylor expansion of 0 in im 2.160 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.160 * [taylor]: Taking taylor expansion of 1/2 in im 2.160 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.160 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.160 * [taylor]: Taking taylor expansion of im in im 2.165 * [taylor]: Taking taylor expansion of 0 in im 2.167 * * * [progress]: simplifying candidates 2.168 * [simplify]: Simplifying using # : (exp (log1p (cbrt (+ (* 1 (hypot re im)) re)))) (expm1 (expm1 (log1p (cbrt (+ (* 1 (hypot re im)) re))))) (log1p (expm1 (log1p (cbrt (+ (* 1 (hypot re im)) re))))) (log (expm1 (log1p (cbrt (+ (* 1 (hypot re im)) re))))) (exp (expm1 (log1p (cbrt (+ (* 1 (hypot re im)) re))))) (* (cbrt (expm1 (log1p (cbrt (+ (* 1 (hypot re im)) re))))) (cbrt (expm1 (log1p (cbrt (+ (* 1 (hypot re im)) re)))))) (cbrt (expm1 (log1p (cbrt (+ (* 1 (hypot re im)) re))))) (* (* (expm1 (log1p (cbrt (+ (* 1 (hypot re im)) re)))) (expm1 (log1p (cbrt (+ (* 1 (hypot re im)) re))))) (expm1 (log1p (cbrt (+ (* 1 (hypot re im)) re))))) (sqrt (expm1 (log1p (cbrt (+ (* 1 (hypot re im)) re))))) (sqrt (expm1 (log1p (cbrt (+ (* 1 (hypot re im)) re))))) (expm1 (+ (* 1 (hypot re im)) re)) (log1p (+ (* 1 (hypot re im)) re)) (* (exp (* 1 (hypot re im))) (exp re)) (log (+ (* 1 (hypot re im)) re)) (exp (+ (* 1 (hypot re im)) re)) (* (cbrt (+ (* 1 (hypot re im)) re)) (cbrt (+ (* 1 (hypot re im)) re))) (cbrt (+ (* 1 (hypot re im)) re)) (* (* (+ (* 1 (hypot re im)) re) (+ (* 1 (hypot re im)) re)) (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)) (+ (pow (* 1 (hypot re im)) 3) (pow re 3)) (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (- (* re re) (* (* 1 (hypot re im)) re))) (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re)) (- (* 1 (hypot re im)) re) (+ (hypot re im) re) (expm1 (+ (* 1 (hypot re im)) re)) (log1p (+ (* 1 (hypot re im)) re)) (* (exp (* 1 (hypot re im))) (exp re)) (log (+ (* 1 (hypot re im)) re)) (exp (+ (* 1 (hypot re im)) re)) (* (cbrt (+ (* 1 (hypot re im)) re)) (cbrt (+ (* 1 (hypot re im)) re))) (cbrt (+ (* 1 (hypot re im)) re)) (* (* (+ (* 1 (hypot re im)) re) (+ (* 1 (hypot re im)) re)) (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)) (+ (pow (* 1 (hypot re im)) 3) (pow re 3)) (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (- (* re re) (* (* 1 (hypot re im)) re))) (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re)) (- (* 1 (hypot re im)) re) (+ (hypot re im) re) (expm1 (+ (* 1 (hypot re im)) re)) (log1p (+ (* 1 (hypot re im)) re)) (* (exp (* 1 (hypot re im))) (exp re)) (log (+ (* 1 (hypot re im)) re)) (exp (+ (* 1 (hypot re im)) re)) (* (cbrt (+ (* 1 (hypot re im)) re)) (cbrt (+ (* 1 (hypot re im)) re))) (cbrt (+ (* 1 (hypot re im)) re)) (* (* (+ (* 1 (hypot re im)) re) (+ (* 1 (hypot re im)) re)) (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)) (+ (pow (* 1 (hypot re im)) 3) (pow re 3)) (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (- (* re re) (* (* 1 (hypot re im)) re))) (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re)) (- (* 1 (hypot re im)) re) (+ (hypot re im) re) (+ (pow im 1/3) (+ (* 1/3 (* re (pow (/ 1 (pow im 2)) 1/3))) (* 1/18 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3))))) (exp (* 1/3 (- (log 2) (log (/ 1 re))))) (exp (* 1/3 (- (+ (log (/ -1 re)) (log 1/2)) (* 2 (log (/ -1 im)))))) (+ re im) (* 2 re) 0 (+ re im) (* 2 re) 0 (+ re im) (* 2 re) 0 2.173 * * [simplify]: iteration 0 : 197 enodes (cost 346 ) 2.176 * * [simplify]: iteration 1 : 551 enodes (cost 297 ) 2.188 * * [simplify]: iteration 2 : 2445 enodes (cost 287 ) 2.233 * * [simplify]: iteration 3 : 5001 enodes (cost 281 ) 2.235 * [simplify]: Simplified to: (exp (log1p (cbrt (+ (* 1 (hypot re im)) re)))) (expm1 (expm1 (log1p (cbrt (+ (* 1 (hypot re im)) re))))) (log1p (cbrt (+ (* 1 (hypot re im)) re))) (log (expm1 (log1p (cbrt (+ (* 1 (hypot re im)) re))))) (exp (expm1 (log1p (cbrt (+ (* 1 (hypot re im)) re))))) (* (cbrt (expm1 (log1p (cbrt (+ (* 1 (hypot re im)) re))))) (cbrt (expm1 (log1p (cbrt (+ (* 1 (hypot re im)) re)))))) (cbrt (expm1 (log1p (cbrt (+ (* 1 (hypot re im)) re))))) (fma 1 (hypot re im) re) (sqrt (expm1 (log1p (cbrt (+ (* 1 (hypot re im)) re))))) (sqrt (expm1 (log1p (cbrt (+ (* 1 (hypot re im)) re))))) (expm1 (+ (* 1 (hypot re im)) re)) (log1p (+ (* 1 (hypot re im)) re)) (exp (+ re (hypot re im))) (log (+ (* 1 (hypot re im)) re)) (exp (+ re (hypot re im))) (* (cbrt (+ (* 1 (hypot re im)) re)) (cbrt (+ (* 1 (hypot re im)) re))) (cbrt (+ (* 1 (hypot re im)) re)) (pow (fma 1 (hypot re im) re) 3) (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)) (fma (pow re 2) re (pow (hypot re im) 3)) (fma (hypot re im) (- (hypot re im) re) (pow re 2)) (fma (hypot re im) (hypot re im) (- (pow re 2))) (- (hypot re im) re) (fma 1 (hypot re im) re) (expm1 (+ (* 1 (hypot re im)) re)) (log1p (+ (* 1 (hypot re im)) re)) (exp (+ re (hypot re im))) (log (+ (* 1 (hypot re im)) re)) (exp (+ re (hypot re im))) (* (cbrt (+ (* 1 (hypot re im)) re)) (cbrt (+ (* 1 (hypot re im)) re))) (cbrt (+ (* 1 (hypot re im)) re)) (pow (fma 1 (hypot re im) re) 3) (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)) (fma (pow re 2) re (pow (hypot re im) 3)) (fma (hypot re im) (- (hypot re im) re) (pow re 2)) (fma (hypot re im) (hypot re im) (- (pow re 2))) (- (hypot re im) re) (fma 1 (hypot re im) re) (expm1 (+ (* 1 (hypot re im)) re)) (log1p (+ (* 1 (hypot re im)) re)) (exp (+ re (hypot re im))) (log (+ (* 1 (hypot re im)) re)) (exp (+ re (hypot re im))) (* (cbrt (+ (* 1 (hypot re im)) re)) (cbrt (+ (* 1 (hypot re im)) re))) (cbrt (+ (* 1 (hypot re im)) re)) (pow (fma 1 (hypot re im) re) 3) (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)) (fma (pow re 2) re (pow (hypot re im) 3)) (fma (hypot re im) (- (hypot re im) re) (pow re 2)) (fma (hypot re im) (hypot re im) (- (pow re 2))) (- (hypot re im) re) (fma 1 (hypot re im) re) (fma (* (pow (/ 1 (pow im 2)) 1/3) 1/3) re (fma (* 1/18 (pow re 2)) (pow (/ 1 (pow im 5)) 1/3) (pow im 1/3))) (* (pow re 1/3) (pow 2 1/3)) (exp (* 1/3 (- (+ (log (/ -1 re)) (log 1/2)) (* 2 (log (/ -1 im)))))) (+ re im) (* 2 re) 0 (+ re im) (* 2 re) 0 (+ re im) (* 2 re) 0 2.236 * * * [progress]: adding candidates to table 2.547 * [progress]: [Phase 3 of 3] Extracting. 2.547 * * [regime]: Finding splitpoints for: (# # # # # #) 2.549 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re) 2.550 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # #) 2.593 * * * * [regimes]: Trying to branch on im from (# # # # # #) 2.646 * * * * [regimes]: Trying to branch on re from (# # # # # #) 2.680 * * * [regime]: Found split indices: #