18.913 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.025 * * * [progress]: [2/2] Setting up program. 0.027 * [progress]: [Phase 2 of 3] Improving. 0.027 * [simplify]: Simplifying using # : (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.030 * * [simplify]: iteration 0 : 24 enodes (cost 8 ) 0.031 * * [simplify]: iteration 1 : 30 enodes (cost 8 ) 0.032 * * [simplify]: iteration 2 : 33 enodes (cost 8 ) 0.033 * * [simplify]: iteration 3 : 33 enodes (cost 8 ) 0.034 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.034 * * [progress]: iteration 1 / 4 0.034 * * * [progress]: picking best candidate 0.036 * * * * [pick]: Picked # 0.036 * * * [progress]: localizing error 0.046 * * * [progress]: generating rewritten candidates 0.046 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.050 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.056 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.066 * * * [progress]: generating series expansions 0.066 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.066 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.066 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.066 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.066 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.066 * [taylor]: Taking taylor expansion of re in im 0.066 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.066 * [taylor]: Taking taylor expansion of im in im 0.067 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.067 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.067 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.067 * [taylor]: Taking taylor expansion of re in re 0.067 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.067 * [taylor]: Taking taylor expansion of im in re 0.067 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.067 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.068 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.068 * [taylor]: Taking taylor expansion of re in re 0.068 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.068 * [taylor]: Taking taylor expansion of im in re 0.068 * [taylor]: Taking taylor expansion of im in im 0.068 * [taylor]: Taking taylor expansion of 0 in im 0.069 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.069 * [taylor]: Taking taylor expansion of 1/2 in im 0.069 * [taylor]: Taking taylor expansion of im in im 0.071 * [taylor]: Taking taylor expansion of 0 in im 0.072 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.072 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.072 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.072 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.072 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.072 * [taylor]: Taking taylor expansion of im in im 0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.073 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.073 * [taylor]: Taking taylor expansion of re in im 0.075 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.075 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.075 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.075 * [taylor]: Taking taylor expansion of im in re 0.075 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.075 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.075 * [taylor]: Taking taylor expansion of re in re 0.077 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.077 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.077 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.077 * [taylor]: Taking taylor expansion of im in re 0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.078 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.078 * [taylor]: Taking taylor expansion of re in re 0.085 * [taylor]: Taking taylor expansion of 1 in im 0.085 * [taylor]: Taking taylor expansion of 0 in im 0.087 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.087 * [taylor]: Taking taylor expansion of 1/2 in im 0.087 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.087 * [taylor]: Taking taylor expansion of im in im 0.090 * [taylor]: Taking taylor expansion of 0 in im 0.091 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.091 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.091 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.091 * [taylor]: Taking taylor expansion of im in im 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.092 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.092 * [taylor]: Taking taylor expansion of re in im 0.094 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.094 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.094 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.094 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.094 * [taylor]: Taking taylor expansion of im in re 0.094 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.094 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.094 * [taylor]: Taking taylor expansion of re in re 0.096 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.096 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.096 * [taylor]: Taking taylor expansion of im in re 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.097 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.097 * [taylor]: Taking taylor expansion of re in re 0.099 * [taylor]: Taking taylor expansion of 1 in im 0.099 * [taylor]: Taking taylor expansion of 0 in im 0.101 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.101 * [taylor]: Taking taylor expansion of 1/2 in im 0.101 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.101 * [taylor]: Taking taylor expansion of im in im 0.104 * [taylor]: Taking taylor expansion of 0 in im 0.105 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 0.105 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 0.105 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.105 * [taylor]: Taking taylor expansion of re in im 0.105 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.105 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.105 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.105 * [taylor]: Taking taylor expansion of re 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 (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.106 * [taylor]: Taking taylor expansion of re in re 0.106 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.106 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.106 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.106 * [taylor]: Taking taylor expansion of re in re 0.106 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.106 * [taylor]: Taking taylor expansion of im in re 0.107 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.107 * [taylor]: Taking taylor expansion of re in re 0.107 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.107 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.107 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.107 * [taylor]: Taking taylor expansion of re in re 0.107 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.107 * [taylor]: Taking taylor expansion of im in re 0.107 * [taylor]: Taking taylor expansion of im in im 0.108 * [taylor]: Taking taylor expansion of 1 in im 0.109 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.109 * [taylor]: Taking taylor expansion of 1/2 in im 0.109 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.109 * [taylor]: Taking taylor expansion of im in im 0.111 * [taylor]: Taking taylor expansion of 0 in im 0.112 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.113 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.113 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.113 * [taylor]: Taking taylor expansion of re in im 0.113 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.113 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.113 * [taylor]: Taking taylor expansion of im in im 0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.113 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.113 * [taylor]: Taking taylor expansion of re in im 0.115 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.115 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.115 * [taylor]: Taking taylor expansion of re in re 0.115 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.115 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.116 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.116 * [taylor]: Taking taylor expansion of im in re 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.116 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.116 * [taylor]: Taking taylor expansion of re in re 0.118 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.118 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.118 * [taylor]: Taking taylor expansion of re in re 0.118 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.118 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.118 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.118 * [taylor]: Taking taylor expansion of im in re 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.118 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.119 * [taylor]: Taking taylor expansion of re in re 0.121 * [taylor]: Taking taylor expansion of 2 in im 0.122 * [taylor]: Taking taylor expansion of 0 in im 0.124 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.124 * [taylor]: Taking taylor expansion of 1/2 in im 0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.124 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.124 * [taylor]: Taking taylor expansion of im in im 0.129 * [taylor]: Taking taylor expansion of 0 in im 0.130 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.130 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.130 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.130 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.130 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.130 * [taylor]: Taking taylor expansion of im in im 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.131 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.131 * [taylor]: Taking taylor expansion of re in im 0.133 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.133 * [taylor]: Taking taylor expansion of re in im 0.133 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.133 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.133 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.133 * [taylor]: Taking taylor expansion of im in re 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.133 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.133 * [taylor]: Taking taylor expansion of re in re 0.136 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.136 * [taylor]: Taking taylor expansion of re in re 0.136 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.136 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.136 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.136 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.136 * [taylor]: Taking taylor expansion of im in re 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.136 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.136 * [taylor]: Taking taylor expansion of re in re 0.138 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.138 * [taylor]: Taking taylor expansion of re in re 0.139 * [taylor]: Taking taylor expansion of 0 in im 0.140 * [taylor]: Taking taylor expansion of 0 in im 0.143 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.143 * [taylor]: Taking taylor expansion of 1/2 in im 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.143 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.143 * [taylor]: Taking taylor expansion of im in im 0.147 * [taylor]: Taking taylor expansion of 0 in im 0.149 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.149 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in (re im) around 0 0.149 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 0.149 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.149 * [taylor]: Taking taylor expansion of 2.0 in im 0.149 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 0.150 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.150 * [taylor]: Taking taylor expansion of re in im 0.150 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.150 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.150 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.150 * [taylor]: Taking taylor expansion of re in im 0.150 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.150 * [taylor]: Taking taylor expansion of im in im 0.151 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.151 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.151 * [taylor]: Taking taylor expansion of 2.0 in re 0.151 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.151 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.151 * [taylor]: Taking taylor expansion of re in re 0.151 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.151 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.151 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.151 * [taylor]: Taking taylor expansion of re in re 0.151 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.151 * [taylor]: Taking taylor expansion of im in re 0.152 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.152 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.152 * [taylor]: Taking taylor expansion of 2.0 in re 0.153 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.153 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.153 * [taylor]: Taking taylor expansion of re in re 0.153 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.153 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.153 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.153 * [taylor]: Taking taylor expansion of re in re 0.153 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.153 * [taylor]: Taking taylor expansion of im in re 0.154 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.154 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.154 * [taylor]: Taking taylor expansion of 2.0 in im 0.155 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.155 * [taylor]: Taking taylor expansion of im in im 0.157 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.157 * [taylor]: Taking taylor expansion of 1/2 in im 0.157 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.157 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.157 * [taylor]: Taking taylor expansion of 2.0 in im 0.157 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.157 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.157 * [taylor]: Taking taylor expansion of im in im 0.174 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.174 * [taylor]: Taking taylor expansion of 1/8 in im 0.174 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) 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 0.175 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.175 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.175 * [taylor]: Taking taylor expansion of im in im 0.190 * [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 0.190 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.190 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.190 * [taylor]: Taking taylor expansion of 2.0 in im 0.191 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.191 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.191 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.191 * [taylor]: Taking taylor expansion of re in im 0.191 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.191 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.191 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.191 * [taylor]: Taking taylor expansion of im in im 0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.191 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.191 * [taylor]: Taking taylor expansion of re in im 0.195 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.195 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.195 * [taylor]: Taking taylor expansion of 2.0 in re 0.195 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.195 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.195 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.195 * [taylor]: Taking taylor expansion of re in re 0.196 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.196 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.196 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.196 * [taylor]: Taking taylor expansion of im in re 0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.196 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.196 * [taylor]: Taking taylor expansion of re in re 0.199 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.199 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.199 * [taylor]: Taking taylor expansion of 2.0 in re 0.200 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.200 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.200 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.200 * [taylor]: Taking taylor expansion of re in re 0.200 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.200 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.200 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.200 * [taylor]: Taking taylor expansion of im in re 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.200 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.200 * [taylor]: Taking taylor expansion of re in re 0.204 * [taylor]: Taking taylor expansion of 0 in im 0.205 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.205 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.205 * [taylor]: Taking taylor expansion of +nan.0 in im 0.206 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.206 * [taylor]: Taking taylor expansion of 2.0 in im 0.211 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.211 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.211 * [taylor]: Taking taylor expansion of +nan.0 in im 0.211 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.211 * [taylor]: Taking taylor expansion of 2.0 in im 0.219 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.219 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.219 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.219 * [taylor]: Taking taylor expansion of +nan.0 in im 0.219 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.219 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.219 * [taylor]: Taking taylor expansion of 2.0 in im 0.220 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.220 * [taylor]: Taking taylor expansion of im 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 0.231 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.231 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.231 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.231 * [taylor]: Taking taylor expansion of +nan.0 in im 0.232 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.232 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.232 * [taylor]: Taking taylor expansion of 2.0 in im 0.232 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.232 * [taylor]: Taking taylor expansion of im in im 0.233 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.233 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.233 * [taylor]: Taking taylor expansion of +nan.0 in im 0.233 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.233 * [taylor]: Taking taylor expansion of 2.0 in im 0.246 * [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 0.246 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.246 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.246 * [taylor]: Taking taylor expansion of 2.0 in im 0.247 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.247 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.247 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.247 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.247 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.247 * [taylor]: Taking taylor expansion of im in im 0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.247 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.247 * [taylor]: Taking taylor expansion of re in im 0.255 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.255 * [taylor]: Taking taylor expansion of re in im 0.256 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.257 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.257 * [taylor]: Taking taylor expansion of 2.0 in re 0.257 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.257 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.257 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.257 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.257 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.257 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.257 * [taylor]: Taking taylor expansion of im in re 0.257 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.258 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.258 * [taylor]: Taking taylor expansion of re in re 0.260 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.260 * [taylor]: Taking taylor expansion of re in re 0.264 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.265 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.265 * [taylor]: Taking taylor expansion of 2.0 in re 0.265 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.265 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.265 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.265 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.265 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.265 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.265 * [taylor]: Taking taylor expansion of im in re 0.265 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.265 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.265 * [taylor]: Taking taylor expansion of re in re 0.268 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.268 * [taylor]: Taking taylor expansion of re in re 0.273 * [taylor]: Taking taylor expansion of 0 in im 0.274 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.274 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.274 * [taylor]: Taking taylor expansion of +nan.0 in im 0.274 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.274 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.274 * [taylor]: Taking taylor expansion of 2.0 in im 0.275 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.275 * [taylor]: Taking taylor expansion of im in im 0.282 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.282 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.282 * [taylor]: Taking taylor expansion of +nan.0 in im 0.282 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.282 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.282 * [taylor]: Taking taylor expansion of 2.0 in im 0.282 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.282 * [taylor]: Taking taylor expansion of im in im 0.298 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.298 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) 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 0.299 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.299 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.299 * [taylor]: Taking taylor expansion of +nan.0 in im 0.300 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.300 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.300 * [taylor]: Taking taylor expansion of 2.0 in im 0.300 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.300 * [taylor]: Taking taylor expansion of im in im 0.322 * * * [progress]: simplifying candidates 0.323 * [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 0.327 * * [simplify]: iteration 0 : 264 enodes (cost 372 ) 0.332 * * [simplify]: iteration 1 : 830 enodes (cost 337 ) 0.345 * * [simplify]: iteration 2 : 2660 enodes (cost 322 ) 0.392 * * [simplify]: iteration 3 : 5002 enodes (cost 320 ) 0.393 * [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 0.394 * * * [progress]: adding candidates to table 0.561 * * [progress]: iteration 2 / 4 0.561 * * * [progress]: picking best candidate 0.575 * * * * [pick]: Picked # 0.575 * * * [progress]: localizing error 0.583 * * * [progress]: generating rewritten candidates 0.583 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2) 0.587 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.592 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 2 1 2) 0.594 * * * [progress]: generating series expansions 0.594 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2) 0.594 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 0.594 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.594 * [taylor]: Taking taylor expansion of re in im 0.594 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.594 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.594 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.594 * [taylor]: Taking taylor expansion of (* re re) in im 0.594 * [taylor]: Taking taylor expansion of re in im 0.594 * [taylor]: Taking taylor expansion of re in im 0.594 * [taylor]: Taking taylor expansion of (* im im) in im 0.594 * [taylor]: Taking taylor expansion of im in im 0.594 * [taylor]: Taking taylor expansion of im in im 0.596 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.596 * [taylor]: Taking taylor expansion of re in re 0.596 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.596 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.596 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.596 * [taylor]: Taking taylor expansion of (* re re) in re 0.596 * [taylor]: Taking taylor expansion of re in re 0.596 * [taylor]: Taking taylor expansion of re in re 0.596 * [taylor]: Taking taylor expansion of (* im im) in re 0.596 * [taylor]: Taking taylor expansion of im in re 0.596 * [taylor]: Taking taylor expansion of im in re 0.597 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.597 * [taylor]: Taking taylor expansion of re in re 0.597 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.597 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.597 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.597 * [taylor]: Taking taylor expansion of (* re re) in re 0.597 * [taylor]: Taking taylor expansion of re in re 0.597 * [taylor]: Taking taylor expansion of re in re 0.597 * [taylor]: Taking taylor expansion of (* im im) in re 0.597 * [taylor]: Taking taylor expansion of im in re 0.597 * [taylor]: Taking taylor expansion of im in re 0.598 * [taylor]: Taking taylor expansion of im in im 0.599 * [taylor]: Taking taylor expansion of 1 in im 0.600 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.600 * [taylor]: Taking taylor expansion of 1/2 in im 0.600 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.600 * [taylor]: Taking taylor expansion of im in im 0.603 * [taylor]: Taking taylor expansion of 0 in im 0.604 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 0.604 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 0.604 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.604 * [taylor]: Taking taylor expansion of re in im 0.604 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.604 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.604 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.604 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.604 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.604 * [taylor]: Taking taylor expansion of re in im 0.604 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.604 * [taylor]: Taking taylor expansion of re in im 0.604 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.604 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.604 * [taylor]: Taking taylor expansion of im in im 0.605 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.605 * [taylor]: Taking taylor expansion of im in im 0.607 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.607 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.607 * [taylor]: Taking taylor expansion of re in re 0.608 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.608 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.608 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.608 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.608 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.608 * [taylor]: Taking taylor expansion of re in re 0.608 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.608 * [taylor]: Taking taylor expansion of re in re 0.608 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.608 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.608 * [taylor]: Taking taylor expansion of im in re 0.608 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.608 * [taylor]: Taking taylor expansion of im in re 0.611 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.611 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.611 * [taylor]: Taking taylor expansion of re in re 0.611 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.611 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.611 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.611 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.611 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.611 * [taylor]: Taking taylor expansion of re in re 0.612 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.612 * [taylor]: Taking taylor expansion of re in re 0.612 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.612 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.612 * [taylor]: Taking taylor expansion of im in re 0.612 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.612 * [taylor]: Taking taylor expansion of im in re 0.615 * [taylor]: Taking taylor expansion of 2 in im 0.615 * [taylor]: Taking taylor expansion of 0 in im 0.618 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.618 * [taylor]: Taking taylor expansion of 1/2 in im 0.618 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.618 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.618 * [taylor]: Taking taylor expansion of im in im 0.623 * [taylor]: Taking taylor expansion of 0 in im 0.625 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 0.625 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.625 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.625 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.625 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.625 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.625 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.625 * [taylor]: Taking taylor expansion of -1 in im 0.625 * [taylor]: Taking taylor expansion of re in im 0.625 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.625 * [taylor]: Taking taylor expansion of -1 in im 0.625 * [taylor]: Taking taylor expansion of re in im 0.625 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.625 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.625 * [taylor]: Taking taylor expansion of -1 in im 0.625 * [taylor]: Taking taylor expansion of im in im 0.625 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.625 * [taylor]: Taking taylor expansion of -1 in im 0.626 * [taylor]: Taking taylor expansion of im in im 0.628 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.628 * [taylor]: Taking taylor expansion of re in im 0.629 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.629 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.629 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.629 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.629 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.629 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.629 * [taylor]: Taking taylor expansion of -1 in re 0.629 * [taylor]: Taking taylor expansion of re in re 0.629 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.629 * [taylor]: Taking taylor expansion of -1 in re 0.629 * [taylor]: Taking taylor expansion of re in re 0.630 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.630 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.630 * [taylor]: Taking taylor expansion of -1 in re 0.630 * [taylor]: Taking taylor expansion of im in re 0.630 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.630 * [taylor]: Taking taylor expansion of -1 in re 0.630 * [taylor]: Taking taylor expansion of im in re 0.632 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.632 * [taylor]: Taking taylor expansion of re in re 0.633 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.633 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.633 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.633 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.633 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.633 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.633 * [taylor]: Taking taylor expansion of -1 in re 0.633 * [taylor]: Taking taylor expansion of re in re 0.633 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.633 * [taylor]: Taking taylor expansion of -1 in re 0.633 * [taylor]: Taking taylor expansion of re in re 0.633 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.633 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.633 * [taylor]: Taking taylor expansion of -1 in re 0.633 * [taylor]: Taking taylor expansion of im in re 0.633 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.633 * [taylor]: Taking taylor expansion of -1 in re 0.634 * [taylor]: Taking taylor expansion of im in re 0.636 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.636 * [taylor]: Taking taylor expansion of re in re 0.637 * [taylor]: Taking taylor expansion of 0 in im 0.638 * [taylor]: Taking taylor expansion of 0 in im 0.641 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.641 * [taylor]: Taking taylor expansion of 1/2 in im 0.641 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.641 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.641 * [taylor]: Taking taylor expansion of im in im 0.646 * [taylor]: Taking taylor expansion of 0 in im 0.653 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.653 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0 0.653 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im 0.653 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 0.653 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.653 * [taylor]: Taking taylor expansion of re in im 0.653 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.653 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.653 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.653 * [taylor]: Taking taylor expansion of (* re re) in im 0.653 * [taylor]: Taking taylor expansion of re in im 0.653 * [taylor]: Taking taylor expansion of re in im 0.653 * [taylor]: Taking taylor expansion of (* im im) in im 0.653 * [taylor]: Taking taylor expansion of im in im 0.653 * [taylor]: Taking taylor expansion of im in im 0.655 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.655 * [taylor]: Taking taylor expansion of 2.0 in im 0.655 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 0.655 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 0.655 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.655 * [taylor]: Taking taylor expansion of re in re 0.655 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.655 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.656 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.656 * [taylor]: Taking taylor expansion of (* re re) in re 0.656 * [taylor]: Taking taylor expansion of re in re 0.656 * [taylor]: Taking taylor expansion of re in re 0.656 * [taylor]: Taking taylor expansion of (* im im) in re 0.656 * [taylor]: Taking taylor expansion of im in re 0.656 * [taylor]: Taking taylor expansion of im in re 0.657 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.657 * [taylor]: Taking taylor expansion of 2.0 in re 0.658 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 0.658 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 0.658 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.658 * [taylor]: Taking taylor expansion of re in re 0.658 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.658 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.658 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.658 * [taylor]: Taking taylor expansion of (* re re) in re 0.658 * [taylor]: Taking taylor expansion of re in re 0.658 * [taylor]: Taking taylor expansion of re in re 0.658 * [taylor]: Taking taylor expansion of (* im im) in re 0.658 * [taylor]: Taking taylor expansion of im in re 0.658 * [taylor]: Taking taylor expansion of im in re 0.659 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.659 * [taylor]: Taking taylor expansion of 2.0 in re 0.660 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.660 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.660 * [taylor]: Taking taylor expansion of 2.0 in im 0.661 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.661 * [taylor]: Taking taylor expansion of im in im 0.663 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.663 * [taylor]: Taking taylor expansion of 1/2 in im 0.663 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.663 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.663 * [taylor]: Taking taylor expansion of 2.0 in im 0.664 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.664 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.664 * [taylor]: Taking taylor expansion of im in im 0.675 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.675 * [taylor]: Taking taylor expansion of 1/8 in im 0.675 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.675 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.675 * [taylor]: Taking taylor expansion of 2.0 in im 0.675 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.675 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.675 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.676 * [taylor]: Taking taylor expansion of im in im 0.690 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in (re im) around 0 0.690 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in im 0.690 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 0.690 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 0.690 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.690 * [taylor]: Taking taylor expansion of re in im 0.690 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.690 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.690 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.690 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.690 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.691 * [taylor]: Taking taylor expansion of re in im 0.691 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.691 * [taylor]: Taking taylor expansion of re in im 0.691 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.691 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.691 * [taylor]: Taking taylor expansion of im in im 0.691 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.691 * [taylor]: Taking taylor expansion of 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 (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 0.696 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 0.696 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.696 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.696 * [taylor]: Taking taylor expansion of re in re 0.696 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.696 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.696 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.696 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.696 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.696 * [taylor]: Taking taylor expansion of re in re 0.697 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.697 * [taylor]: Taking taylor expansion of re in re 0.697 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.697 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.697 * [taylor]: Taking taylor expansion of im in re 0.697 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.697 * [taylor]: Taking taylor expansion of im in re 0.700 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.701 * [taylor]: Taking taylor expansion of 2.0 in re 0.701 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 0.701 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 0.701 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.701 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.701 * [taylor]: Taking taylor expansion of re in re 0.702 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.702 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.702 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.702 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.702 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.702 * [taylor]: Taking taylor expansion of re in re 0.702 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.702 * [taylor]: Taking taylor expansion of re in re 0.702 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.702 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.702 * [taylor]: Taking taylor expansion of im in re 0.702 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.702 * [taylor]: Taking taylor expansion of im in re 0.706 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.706 * [taylor]: Taking taylor expansion of 2.0 in re 0.707 * [taylor]: Taking taylor expansion of 0 in im 0.708 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.708 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.708 * [taylor]: Taking taylor expansion of +nan.0 in im 0.708 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.708 * [taylor]: Taking taylor expansion of 2.0 in im 0.714 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.714 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.714 * [taylor]: Taking taylor expansion of +nan.0 in im 0.714 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.714 * [taylor]: Taking taylor expansion of 2.0 in im 0.723 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.723 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.723 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.723 * [taylor]: Taking taylor expansion of +nan.0 in im 0.723 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.723 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.723 * [taylor]: Taking taylor expansion of 2.0 in im 0.724 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.724 * [taylor]: Taking taylor expansion of im in im 0.725 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.725 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.725 * [taylor]: Taking taylor expansion of +nan.0 in im 0.725 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.725 * [taylor]: Taking taylor expansion of 2.0 in im 0.743 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.743 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.743 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.743 * [taylor]: Taking taylor expansion of +nan.0 in im 0.743 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.743 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.743 * [taylor]: Taking taylor expansion of 2.0 in im 0.744 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.744 * [taylor]: Taking taylor expansion of im 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 0.758 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 0.758 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 0.758 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.758 * [taylor]: Taking taylor expansion of 2.0 in im 0.758 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 0.758 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.758 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.759 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.759 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.759 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.759 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.759 * [taylor]: Taking taylor expansion of -1 in im 0.759 * [taylor]: Taking taylor expansion of re in im 0.759 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.759 * [taylor]: Taking taylor expansion of -1 in im 0.759 * [taylor]: Taking taylor expansion of re in im 0.759 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.759 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.759 * [taylor]: Taking taylor expansion of -1 in im 0.759 * [taylor]: Taking taylor expansion of im in im 0.759 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.759 * [taylor]: Taking taylor expansion of -1 in im 0.759 * [taylor]: Taking taylor expansion of im in im 0.762 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.762 * [taylor]: Taking taylor expansion of re in im 0.763 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.764 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.764 * [taylor]: Taking taylor expansion of 2.0 in re 0.764 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.764 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.764 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.764 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.764 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.764 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.764 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.764 * [taylor]: Taking taylor expansion of -1 in re 0.764 * [taylor]: Taking taylor expansion of re in re 0.765 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.765 * [taylor]: Taking taylor expansion of -1 in re 0.765 * [taylor]: Taking taylor expansion of re in re 0.765 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.765 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.765 * [taylor]: Taking taylor expansion of -1 in re 0.765 * [taylor]: Taking taylor expansion of im in re 0.765 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.765 * [taylor]: Taking taylor expansion of -1 in re 0.765 * [taylor]: Taking taylor expansion of im in re 0.768 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.768 * [taylor]: Taking taylor expansion of re in re 0.773 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.773 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.773 * [taylor]: Taking taylor expansion of 2.0 in re 0.774 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.774 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.774 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.774 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.774 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.774 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.774 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.774 * [taylor]: Taking taylor expansion of -1 in re 0.774 * [taylor]: Taking taylor expansion of re in re 0.774 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.774 * [taylor]: Taking taylor expansion of -1 in re 0.774 * [taylor]: Taking taylor expansion of re in re 0.775 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.775 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.775 * [taylor]: Taking taylor expansion of -1 in re 0.775 * [taylor]: Taking taylor expansion of im in re 0.775 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.775 * [taylor]: Taking taylor expansion of -1 in re 0.775 * [taylor]: Taking taylor expansion of im in re 0.777 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.777 * [taylor]: Taking taylor expansion of re in re 0.783 * [taylor]: Taking taylor expansion of 0 in im 0.783 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.784 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.784 * [taylor]: Taking taylor expansion of +nan.0 in im 0.784 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.784 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.784 * [taylor]: Taking taylor expansion of 2.0 in im 0.784 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.784 * [taylor]: Taking taylor expansion of im in im 0.792 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.792 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.792 * [taylor]: Taking taylor expansion of +nan.0 in im 0.792 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.792 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.792 * [taylor]: Taking taylor expansion of 2.0 in im 0.792 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.792 * [taylor]: Taking taylor expansion of im in im 0.809 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.809 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.809 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.809 * [taylor]: Taking taylor expansion of +nan.0 in im 0.809 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.809 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.809 * [taylor]: Taking taylor expansion of 2.0 in im 0.810 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.810 * [taylor]: Taking taylor expansion of im in im 0.811 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.811 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.811 * [taylor]: Taking taylor expansion of +nan.0 in im 0.811 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.811 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.811 * [taylor]: Taking taylor expansion of 2.0 in im 0.811 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.812 * [taylor]: Taking taylor expansion of im in im 0.839 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 2 1 2) 0.839 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.839 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.840 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.840 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.840 * [taylor]: Taking taylor expansion of (* re re) in im 0.840 * [taylor]: Taking taylor expansion of re in im 0.840 * [taylor]: Taking taylor expansion of re in im 0.840 * [taylor]: Taking taylor expansion of (* im im) in im 0.840 * [taylor]: Taking taylor expansion of im in im 0.840 * [taylor]: Taking taylor expansion of im in im 0.841 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.841 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.841 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.841 * [taylor]: Taking taylor expansion of (* re re) in re 0.841 * [taylor]: Taking taylor expansion of re in re 0.841 * [taylor]: Taking taylor expansion of re in re 0.841 * [taylor]: Taking taylor expansion of (* im im) in re 0.841 * [taylor]: Taking taylor expansion of im in re 0.841 * [taylor]: Taking taylor expansion of im in re 0.842 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.842 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.842 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.842 * [taylor]: Taking taylor expansion of (* re re) in re 0.842 * [taylor]: Taking taylor expansion of re in re 0.842 * [taylor]: Taking taylor expansion of re in re 0.842 * [taylor]: Taking taylor expansion of (* im im) in re 0.842 * [taylor]: Taking taylor expansion of im in re 0.842 * [taylor]: Taking taylor expansion of im in re 0.843 * [taylor]: Taking taylor expansion of im in im 0.843 * [taylor]: Taking taylor expansion of 0 in im 0.845 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.845 * [taylor]: Taking taylor expansion of 1/2 in im 0.845 * [taylor]: Taking taylor expansion of im in im 0.847 * [taylor]: Taking taylor expansion of 0 in im 0.848 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.848 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.848 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.848 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.848 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.848 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.848 * [taylor]: Taking taylor expansion of re in im 0.848 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.848 * [taylor]: Taking taylor expansion of re in im 0.848 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.848 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.848 * [taylor]: Taking taylor expansion of im in im 0.848 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.848 * [taylor]: Taking taylor expansion of im in im 0.851 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.851 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.851 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.851 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.851 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.851 * [taylor]: Taking taylor expansion of re in re 0.851 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.851 * [taylor]: Taking taylor expansion of re in re 0.852 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.852 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.852 * [taylor]: Taking taylor expansion of im in re 0.852 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.852 * [taylor]: Taking taylor expansion of im in re 0.854 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.854 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.854 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.854 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.854 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.854 * [taylor]: Taking taylor expansion of re in re 0.855 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.855 * [taylor]: Taking taylor expansion of re in re 0.855 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.855 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.855 * [taylor]: Taking taylor expansion of im in re 0.855 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.855 * [taylor]: Taking taylor expansion of im in re 0.858 * [taylor]: Taking taylor expansion of 1 in im 0.858 * [taylor]: Taking taylor expansion of 0 in im 0.860 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.860 * [taylor]: Taking taylor expansion of 1/2 in im 0.860 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.860 * [taylor]: Taking taylor expansion of im in im 0.864 * [taylor]: Taking taylor expansion of 0 in im 0.865 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.865 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.865 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.865 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.865 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.865 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.865 * [taylor]: Taking taylor expansion of -1 in im 0.865 * [taylor]: Taking taylor expansion of re in im 0.865 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.865 * [taylor]: Taking taylor expansion of -1 in im 0.865 * [taylor]: Taking taylor expansion of re in im 0.865 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.865 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.865 * [taylor]: Taking taylor expansion of -1 in im 0.865 * [taylor]: Taking taylor expansion of im in im 0.865 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.865 * [taylor]: Taking taylor expansion of -1 in im 0.865 * [taylor]: Taking taylor expansion of im in im 0.868 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.868 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.868 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.868 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.868 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.868 * [taylor]: Taking taylor expansion of -1 in re 0.868 * [taylor]: Taking taylor expansion of re in re 0.869 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.869 * [taylor]: Taking taylor expansion of -1 in re 0.869 * [taylor]: Taking taylor expansion of re in re 0.869 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.869 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.869 * [taylor]: Taking taylor expansion of -1 in re 0.869 * [taylor]: Taking taylor expansion of im in re 0.869 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.869 * [taylor]: Taking taylor expansion of -1 in re 0.869 * [taylor]: Taking taylor expansion of im in re 0.872 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.872 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.872 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.872 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.872 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.872 * [taylor]: Taking taylor expansion of -1 in re 0.872 * [taylor]: Taking taylor expansion of re in re 0.872 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.872 * [taylor]: Taking taylor expansion of -1 in re 0.872 * [taylor]: Taking taylor expansion of re in re 0.872 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.873 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.873 * [taylor]: Taking taylor expansion of -1 in re 0.873 * [taylor]: Taking taylor expansion of im in re 0.873 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.873 * [taylor]: Taking taylor expansion of -1 in re 0.873 * [taylor]: Taking taylor expansion of im in re 0.875 * [taylor]: Taking taylor expansion of 1 in im 0.875 * [taylor]: Taking taylor expansion of 0 in im 0.878 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.878 * [taylor]: Taking taylor expansion of 1/2 in im 0.878 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.878 * [taylor]: Taking taylor expansion of im in im 0.881 * [taylor]: Taking taylor expansion of 0 in im 0.883 * * * [progress]: simplifying candidates 0.883 * [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)))) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (+ re im) (* 2 re) 0 (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0 im re (* -1 re) 0.887 * * [simplify]: iteration 0 : 219 enodes (cost 232 ) 0.891 * * [simplify]: iteration 1 : 647 enodes (cost 208 ) 0.905 * * [simplify]: iteration 2 : 2702 enodes (cost 200 ) 0.955 * * [simplify]: iteration 3 : 5001 enodes (cost 199 ) 0.956 * [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)))) (expm1 (hypot re im)) (log1p (hypot re im)) (fma re re (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (sqrt (hypot re im)) (sqrt (hypot re im)) (+ re im) (* 2 re) 0 (* (* +nan.0 (sqrt 2.0)) (+ (- (* re re)) (- im re))) (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) 0 im re (* -1 re) 0.956 * * * [progress]: adding candidates to table 1.094 * * [progress]: iteration 3 / 4 1.094 * * * [progress]: picking best candidate 1.113 * * * * [pick]: Picked # 1.114 * * * [progress]: localizing error 1.124 * * * [progress]: generating rewritten candidates 1.124 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1) 1.128 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1) 1.132 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 1.145 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.167 * * * [progress]: generating series expansions 1.167 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1) 1.167 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 1.167 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.167 * [taylor]: Taking taylor expansion of re in im 1.167 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.167 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.167 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.167 * [taylor]: Taking taylor expansion of (* re re) in im 1.167 * [taylor]: Taking taylor expansion of re in im 1.167 * [taylor]: Taking taylor expansion of re in im 1.167 * [taylor]: Taking taylor expansion of (* im im) in im 1.167 * [taylor]: Taking taylor expansion of im in im 1.167 * [taylor]: Taking taylor expansion of im in im 1.168 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.169 * [taylor]: Taking taylor expansion of re in re 1.169 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.169 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.169 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.169 * [taylor]: Taking taylor expansion of (* re re) in re 1.169 * [taylor]: Taking taylor expansion of re in re 1.169 * [taylor]: Taking taylor expansion of re in re 1.169 * [taylor]: Taking taylor expansion of (* im im) in re 1.169 * [taylor]: Taking taylor expansion of im in re 1.169 * [taylor]: Taking taylor expansion of im in re 1.170 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.170 * [taylor]: Taking taylor expansion of re in re 1.170 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.170 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.170 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.170 * [taylor]: Taking taylor expansion of (* re re) in re 1.170 * [taylor]: Taking taylor expansion of re in re 1.170 * [taylor]: Taking taylor expansion of re in re 1.170 * [taylor]: Taking taylor expansion of (* im im) in re 1.170 * [taylor]: Taking taylor expansion of im in re 1.170 * [taylor]: Taking taylor expansion of im in re 1.171 * [taylor]: Taking taylor expansion of im in im 1.172 * [taylor]: Taking taylor expansion of 1 in im 1.173 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.173 * [taylor]: Taking taylor expansion of 1/2 in im 1.173 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.173 * [taylor]: Taking taylor expansion of im in im 1.176 * [taylor]: Taking taylor expansion of 0 in im 1.177 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 1.177 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 1.177 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.177 * [taylor]: Taking taylor expansion of re in im 1.177 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.177 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.177 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.177 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.177 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.177 * [taylor]: Taking taylor expansion of re in im 1.177 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.177 * [taylor]: Taking taylor expansion of re in im 1.177 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.177 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.177 * [taylor]: Taking taylor expansion of im in im 1.178 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.178 * [taylor]: Taking taylor expansion of im in im 1.180 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.180 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.180 * [taylor]: Taking taylor expansion of re in re 1.181 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 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 re 1.181 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.181 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.181 * [taylor]: Taking taylor expansion of re in re 1.181 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.181 * [taylor]: Taking taylor expansion of re in re 1.181 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.181 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.181 * [taylor]: Taking taylor expansion of im in re 1.181 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.181 * [taylor]: Taking taylor expansion of im in re 1.184 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.184 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.184 * [taylor]: Taking taylor expansion of 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 1.184 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.184 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.184 * [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 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 im in re 1.185 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.185 * [taylor]: Taking taylor expansion of im in re 1.188 * [taylor]: Taking taylor expansion of 2 in im 1.188 * [taylor]: Taking taylor expansion of 0 in im 1.191 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.191 * [taylor]: Taking taylor expansion of 1/2 in im 1.191 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.191 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.191 * [taylor]: Taking taylor expansion of im in im 1.196 * [taylor]: Taking taylor expansion of 0 in im 1.198 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 1.198 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.198 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.198 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.198 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.198 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.198 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.198 * [taylor]: Taking taylor expansion of -1 in im 1.198 * [taylor]: Taking taylor expansion of re in im 1.198 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.198 * [taylor]: Taking taylor expansion of -1 in im 1.198 * [taylor]: Taking taylor expansion of re in im 1.198 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.198 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.198 * [taylor]: Taking taylor expansion of -1 in im 1.198 * [taylor]: Taking taylor expansion of im in im 1.198 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.198 * [taylor]: Taking taylor expansion of -1 in im 1.198 * [taylor]: Taking taylor expansion of im in im 1.201 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.201 * [taylor]: Taking taylor expansion of re in im 1.201 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.201 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.201 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.201 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.201 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.201 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.201 * [taylor]: Taking taylor expansion of -1 in re 1.201 * [taylor]: Taking taylor expansion of re in re 1.202 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.202 * [taylor]: Taking taylor expansion of -1 in re 1.202 * [taylor]: Taking taylor expansion of re in re 1.202 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.202 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.202 * [taylor]: Taking taylor expansion of -1 in re 1.202 * [taylor]: Taking taylor expansion of im in re 1.202 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.202 * [taylor]: Taking taylor expansion of -1 in re 1.202 * [taylor]: Taking taylor expansion of im in re 1.205 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.205 * [taylor]: Taking taylor expansion of re in re 1.205 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.205 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.205 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.205 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.205 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.205 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.205 * [taylor]: Taking taylor expansion of -1 in re 1.205 * [taylor]: Taking taylor expansion of re in re 1.205 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.205 * [taylor]: Taking taylor expansion of -1 in re 1.205 * [taylor]: Taking taylor expansion of re in re 1.206 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.206 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.206 * [taylor]: Taking taylor expansion of -1 in re 1.206 * [taylor]: Taking taylor expansion of im in re 1.206 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.206 * [taylor]: Taking taylor expansion of -1 in re 1.206 * [taylor]: Taking taylor expansion of im in re 1.209 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.209 * [taylor]: Taking taylor expansion of re in re 1.209 * [taylor]: Taking taylor expansion of 0 in im 1.210 * [taylor]: Taking taylor expansion of 0 in im 1.213 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.213 * [taylor]: Taking taylor expansion of 1/2 in im 1.213 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.213 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.213 * [taylor]: Taking taylor expansion of im in im 1.218 * [taylor]: Taking taylor expansion of 0 in im 1.220 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1) 1.220 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 1.220 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.220 * [taylor]: Taking taylor expansion of re in im 1.220 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.220 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.220 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.220 * [taylor]: Taking taylor expansion of (* re re) in im 1.220 * [taylor]: Taking taylor expansion of re in im 1.220 * [taylor]: Taking taylor expansion of re in im 1.220 * [taylor]: Taking taylor expansion of (* im im) in im 1.220 * [taylor]: Taking taylor expansion of im in im 1.220 * [taylor]: Taking taylor expansion of im in im 1.221 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.221 * [taylor]: Taking taylor expansion of re in re 1.221 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.221 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.221 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.221 * [taylor]: Taking taylor expansion of (* re re) in re 1.221 * [taylor]: Taking taylor expansion of re in re 1.222 * [taylor]: Taking taylor expansion of re in re 1.222 * [taylor]: Taking taylor expansion of (* im im) in re 1.222 * [taylor]: Taking taylor expansion of im in re 1.222 * [taylor]: Taking taylor expansion of im in re 1.223 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.223 * [taylor]: Taking taylor expansion of re in re 1.223 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.223 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.223 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.223 * [taylor]: Taking taylor expansion of (* re re) in re 1.223 * [taylor]: Taking taylor expansion of re in re 1.223 * [taylor]: Taking taylor expansion of re in re 1.223 * [taylor]: Taking taylor expansion of (* im im) in re 1.223 * [taylor]: Taking taylor expansion of im in re 1.223 * [taylor]: Taking taylor expansion of im in re 1.224 * [taylor]: Taking taylor expansion of im in im 1.224 * [taylor]: Taking taylor expansion of 1 in im 1.226 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.226 * [taylor]: Taking taylor expansion of 1/2 in im 1.226 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.226 * [taylor]: Taking taylor expansion of im in im 1.228 * [taylor]: Taking taylor expansion of 0 in im 1.229 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 1.229 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 1.230 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.230 * [taylor]: Taking taylor expansion of re in im 1.230 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.230 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.230 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.230 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.230 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.230 * [taylor]: Taking taylor expansion of re in im 1.230 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.230 * [taylor]: Taking taylor expansion of re in im 1.230 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.230 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.230 * [taylor]: Taking taylor expansion of im in im 1.230 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.230 * [taylor]: Taking taylor expansion of im in im 1.233 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.233 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.233 * [taylor]: Taking taylor expansion of re in re 1.233 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.233 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.233 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.233 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.233 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.233 * [taylor]: Taking taylor expansion of re in re 1.240 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.240 * [taylor]: Taking taylor expansion of re in re 1.240 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.241 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.241 * [taylor]: Taking taylor expansion of im in re 1.241 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.241 * [taylor]: Taking taylor expansion of im in re 1.243 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.243 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.243 * [taylor]: Taking taylor expansion of re in re 1.244 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.244 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.244 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.244 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.244 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.244 * [taylor]: Taking taylor expansion of re in re 1.244 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.244 * [taylor]: Taking taylor expansion of re in re 1.245 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.245 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.245 * [taylor]: Taking taylor expansion of im in re 1.245 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.245 * [taylor]: Taking taylor expansion of im in re 1.248 * [taylor]: Taking taylor expansion of 2 in im 1.248 * [taylor]: Taking taylor expansion of 0 in im 1.251 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.251 * [taylor]: Taking taylor expansion of 1/2 in im 1.251 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.251 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.251 * [taylor]: Taking taylor expansion of im in im 1.256 * [taylor]: Taking taylor expansion of 0 in im 1.258 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 1.258 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.258 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.258 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.258 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.258 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.258 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.258 * [taylor]: Taking taylor expansion of -1 in im 1.258 * [taylor]: Taking taylor expansion of re in im 1.258 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.258 * [taylor]: Taking taylor expansion of -1 in im 1.258 * [taylor]: Taking taylor expansion of re in im 1.258 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.258 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.258 * [taylor]: Taking taylor expansion of -1 in im 1.258 * [taylor]: Taking taylor expansion of im in im 1.258 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.259 * [taylor]: Taking taylor expansion of -1 in im 1.259 * [taylor]: Taking taylor expansion of im in im 1.261 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.261 * [taylor]: Taking taylor expansion of re in im 1.261 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.261 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.261 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.262 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.262 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.262 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.262 * [taylor]: Taking taylor expansion of -1 in re 1.262 * [taylor]: Taking taylor expansion of re in re 1.262 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.262 * [taylor]: Taking taylor expansion of -1 in re 1.262 * [taylor]: Taking taylor expansion of re in re 1.262 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.262 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.262 * [taylor]: Taking taylor expansion of -1 in re 1.262 * [taylor]: Taking taylor expansion of im in re 1.262 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.262 * [taylor]: Taking taylor expansion of -1 in re 1.262 * [taylor]: Taking taylor expansion of im in re 1.265 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.265 * [taylor]: Taking taylor expansion of re in re 1.265 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.265 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.265 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.265 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.265 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.265 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.265 * [taylor]: Taking taylor expansion of -1 in re 1.265 * [taylor]: Taking taylor expansion of re in re 1.266 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.266 * [taylor]: Taking taylor expansion of -1 in re 1.266 * [taylor]: Taking taylor expansion of re in re 1.266 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.266 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.266 * [taylor]: Taking taylor expansion of -1 in re 1.266 * [taylor]: Taking taylor expansion of im in re 1.266 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.266 * [taylor]: Taking taylor expansion of -1 in re 1.266 * [taylor]: Taking taylor expansion of im in re 1.269 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.269 * [taylor]: Taking taylor expansion of re in re 1.269 * [taylor]: Taking taylor expansion of 0 in im 1.270 * [taylor]: Taking taylor expansion of 0 in im 1.273 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.274 * [taylor]: Taking taylor expansion of 1/2 in im 1.274 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.274 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.274 * [taylor]: Taking taylor expansion of im in im 1.278 * [taylor]: Taking taylor expansion of 0 in im 1.280 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 1.280 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 1.280 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.280 * [taylor]: Taking taylor expansion of re in im 1.280 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.280 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.280 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.280 * [taylor]: Taking taylor expansion of (* re re) in im 1.280 * [taylor]: Taking taylor expansion of re in im 1.280 * [taylor]: Taking taylor expansion of re in im 1.280 * [taylor]: Taking taylor expansion of (* im im) in im 1.280 * [taylor]: Taking taylor expansion of im in im 1.280 * [taylor]: Taking taylor expansion of im in im 1.282 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.282 * [taylor]: Taking taylor expansion of re in re 1.282 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.282 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.282 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.282 * [taylor]: Taking taylor expansion of (* re re) in re 1.282 * [taylor]: Taking taylor expansion of re in re 1.282 * [taylor]: Taking taylor expansion of re in re 1.282 * [taylor]: Taking taylor expansion of (* im im) in re 1.282 * [taylor]: Taking taylor expansion of im in re 1.282 * [taylor]: Taking taylor expansion of im in re 1.283 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.283 * [taylor]: Taking taylor expansion of re in re 1.283 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.283 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.283 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.283 * [taylor]: Taking taylor expansion of (* re re) in re 1.283 * [taylor]: Taking taylor expansion of re in re 1.283 * [taylor]: Taking taylor expansion of re in re 1.283 * [taylor]: Taking taylor expansion of (* im im) in re 1.283 * [taylor]: Taking taylor expansion of im in re 1.283 * [taylor]: Taking taylor expansion of im in re 1.284 * [taylor]: Taking taylor expansion of im in im 1.285 * [taylor]: Taking taylor expansion of 1 in im 1.286 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.286 * [taylor]: Taking taylor expansion of 1/2 in im 1.286 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.286 * [taylor]: Taking taylor expansion of im in im 1.289 * [taylor]: Taking taylor expansion of 0 in im 1.290 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 1.290 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 1.290 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.290 * [taylor]: Taking taylor expansion of re in im 1.290 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.290 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.290 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.290 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.290 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.290 * [taylor]: Taking taylor expansion of re in im 1.290 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.290 * [taylor]: Taking taylor expansion of re in im 1.290 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.290 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.290 * [taylor]: Taking taylor expansion of im in im 1.291 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.291 * [taylor]: Taking taylor expansion of im in im 1.293 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.293 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.293 * [taylor]: Taking taylor expansion of re in re 1.294 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.294 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.294 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.294 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.294 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.294 * [taylor]: Taking taylor expansion of re in re 1.294 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.294 * [taylor]: Taking taylor expansion of re in re 1.294 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.294 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.294 * [taylor]: Taking taylor expansion of im in re 1.294 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.294 * [taylor]: Taking taylor expansion of im in re 1.297 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.297 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.297 * [taylor]: Taking taylor expansion of re in re 1.297 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.297 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.297 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.297 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.297 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.297 * [taylor]: Taking taylor expansion of re in re 1.297 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.298 * [taylor]: Taking taylor expansion of re in re 1.298 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.298 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.298 * [taylor]: Taking taylor expansion of im in re 1.298 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.298 * [taylor]: Taking taylor expansion of im in re 1.301 * [taylor]: Taking taylor expansion of 2 in im 1.301 * [taylor]: Taking taylor expansion of 0 in im 1.304 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.304 * [taylor]: Taking taylor expansion of 1/2 in im 1.304 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.304 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.304 * [taylor]: Taking taylor expansion of im in im 1.309 * [taylor]: Taking taylor expansion of 0 in im 1.311 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 1.311 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.311 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.311 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.311 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.311 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.311 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.311 * [taylor]: Taking taylor expansion of -1 in im 1.311 * [taylor]: Taking taylor expansion of re in im 1.311 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.311 * [taylor]: Taking taylor expansion of -1 in im 1.311 * [taylor]: Taking taylor expansion of re in im 1.311 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.311 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.311 * [taylor]: Taking taylor expansion of -1 in im 1.311 * [taylor]: Taking taylor expansion of im in im 1.311 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.311 * [taylor]: Taking taylor expansion of -1 in im 1.311 * [taylor]: Taking taylor expansion of im in im 1.314 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.314 * [taylor]: Taking taylor expansion of re in im 1.314 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.314 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.314 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.314 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.314 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.315 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.315 * [taylor]: Taking taylor expansion of -1 in re 1.315 * [taylor]: Taking taylor expansion of re in re 1.315 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.315 * [taylor]: Taking taylor expansion of -1 in re 1.315 * [taylor]: Taking taylor expansion of re in re 1.315 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.315 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.315 * [taylor]: Taking taylor expansion of -1 in re 1.315 * [taylor]: Taking taylor expansion of im in re 1.315 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.315 * [taylor]: Taking taylor expansion of -1 in re 1.315 * [taylor]: Taking taylor expansion of im in re 1.318 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.318 * [taylor]: Taking taylor expansion of re in re 1.318 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.318 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.318 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.318 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.318 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.318 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.318 * [taylor]: Taking taylor expansion of -1 in re 1.318 * [taylor]: Taking taylor expansion of re in re 1.319 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.319 * [taylor]: Taking taylor expansion of -1 in re 1.319 * [taylor]: Taking taylor expansion of re in re 1.319 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.319 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.319 * [taylor]: Taking taylor expansion of -1 in re 1.319 * [taylor]: Taking taylor expansion of im in re 1.319 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.319 * [taylor]: Taking taylor expansion of -1 in re 1.319 * [taylor]: Taking taylor expansion of im in re 1.327 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.327 * [taylor]: Taking taylor expansion of re in re 1.328 * [taylor]: Taking taylor expansion of 0 in im 1.329 * [taylor]: Taking taylor expansion of 0 in im 1.332 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.332 * [taylor]: Taking taylor expansion of 1/2 in im 1.332 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.332 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.332 * [taylor]: Taking taylor expansion of im in im 1.338 * [taylor]: Taking taylor expansion of 0 in im 1.339 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.339 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0 1.339 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im 1.339 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 1.339 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.340 * [taylor]: Taking taylor expansion of re in im 1.340 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.340 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.340 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.340 * [taylor]: Taking taylor expansion of (* re re) in im 1.340 * [taylor]: Taking taylor expansion of re in im 1.340 * [taylor]: Taking taylor expansion of re in im 1.340 * [taylor]: Taking taylor expansion of (* im im) in im 1.340 * [taylor]: Taking taylor expansion of im in im 1.340 * [taylor]: Taking taylor expansion of im in im 1.341 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.341 * [taylor]: Taking taylor expansion of 2.0 in im 1.342 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 1.342 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 1.342 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.342 * [taylor]: Taking taylor expansion of re in re 1.342 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.342 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.342 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.342 * [taylor]: Taking taylor expansion of (* re re) in re 1.342 * [taylor]: Taking taylor expansion of re in re 1.342 * [taylor]: Taking taylor expansion of re in re 1.342 * [taylor]: Taking taylor expansion of (* im im) in re 1.342 * [taylor]: Taking taylor expansion of im in re 1.342 * [taylor]: Taking taylor expansion of im in re 1.344 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.344 * [taylor]: Taking taylor expansion of 2.0 in re 1.344 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 1.344 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 1.344 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.344 * [taylor]: Taking taylor expansion of re in re 1.344 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.344 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.344 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.344 * [taylor]: Taking taylor expansion of (* re re) in re 1.344 * [taylor]: Taking taylor expansion of re in re 1.344 * [taylor]: Taking taylor expansion of re in re 1.344 * [taylor]: Taking taylor expansion of (* im im) in re 1.344 * [taylor]: Taking taylor expansion of im in re 1.345 * [taylor]: Taking taylor expansion of im in re 1.346 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.346 * [taylor]: Taking taylor expansion of 2.0 in re 1.347 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 1.347 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.347 * [taylor]: Taking taylor expansion of 2.0 in im 1.348 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.348 * [taylor]: Taking taylor expansion of im in im 1.349 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 1.349 * [taylor]: Taking taylor expansion of 1/2 in im 1.349 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 1.349 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.350 * [taylor]: Taking taylor expansion of 2.0 in im 1.350 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.350 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.350 * [taylor]: Taking taylor expansion of im in im 1.361 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 1.361 * [taylor]: Taking taylor expansion of 1/8 in im 1.361 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 1.361 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.361 * [taylor]: Taking taylor expansion of 2.0 in im 1.362 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 1.362 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 1.362 * [taylor]: Taking taylor expansion of (pow im 3) in im 1.362 * [taylor]: Taking taylor expansion of im in im 1.377 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in (re im) around 0 1.377 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in im 1.377 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 1.377 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 1.377 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.377 * [taylor]: Taking taylor expansion of re in im 1.377 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.377 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.377 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.377 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.377 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.377 * [taylor]: Taking taylor expansion of re in im 1.377 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.377 * [taylor]: Taking taylor expansion of re in im 1.377 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.377 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.377 * [taylor]: Taking taylor expansion of im in im 1.377 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.377 * [taylor]: Taking taylor expansion of im in im 1.381 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.381 * [taylor]: Taking taylor expansion of 2.0 in im 1.382 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 1.382 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 1.382 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.382 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.382 * [taylor]: Taking taylor expansion of re in re 1.382 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.382 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.382 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.382 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.382 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.382 * [taylor]: Taking taylor expansion of re in re 1.383 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.383 * [taylor]: Taking taylor expansion of re in re 1.383 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.383 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.383 * [taylor]: Taking taylor expansion of im in re 1.383 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.383 * [taylor]: Taking taylor expansion of im in re 1.387 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.387 * [taylor]: Taking taylor expansion of 2.0 in re 1.387 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 1.387 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 1.387 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.387 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.387 * [taylor]: Taking taylor expansion of re in re 1.388 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.388 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.388 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.388 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.388 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.388 * [taylor]: Taking taylor expansion of re in re 1.388 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.388 * [taylor]: Taking taylor expansion of re in re 1.388 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.388 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.388 * [taylor]: Taking taylor expansion of im in re 1.388 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.388 * [taylor]: Taking taylor expansion of im in re 1.392 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.392 * [taylor]: Taking taylor expansion of 2.0 in re 1.393 * [taylor]: Taking taylor expansion of 0 in im 1.394 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.394 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.394 * [taylor]: Taking taylor expansion of +nan.0 in im 1.394 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.394 * [taylor]: Taking taylor expansion of 2.0 in im 1.400 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.400 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.400 * [taylor]: Taking taylor expansion of +nan.0 in im 1.400 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.400 * [taylor]: Taking taylor expansion of 2.0 in im 1.415 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 1.415 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 1.415 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.415 * [taylor]: Taking taylor expansion of +nan.0 in im 1.415 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.415 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.415 * [taylor]: Taking taylor expansion of 2.0 in im 1.416 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.416 * [taylor]: Taking taylor expansion of im in im 1.417 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.417 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.417 * [taylor]: Taking taylor expansion of +nan.0 in im 1.417 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.417 * [taylor]: Taking taylor expansion of 2.0 in im 1.428 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 1.429 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 1.429 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.429 * [taylor]: Taking taylor expansion of +nan.0 in im 1.429 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.429 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.429 * [taylor]: Taking taylor expansion of 2.0 in im 1.429 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.429 * [taylor]: Taking taylor expansion of im in im 1.430 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.430 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.430 * [taylor]: Taking taylor expansion of +nan.0 in im 1.430 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.430 * [taylor]: Taking taylor expansion of 2.0 in im 1.443 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 1.443 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 1.443 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.443 * [taylor]: Taking taylor expansion of 2.0 in im 1.444 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 1.444 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.444 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.444 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.444 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.444 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.444 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.444 * [taylor]: Taking taylor expansion of -1 in im 1.444 * [taylor]: Taking taylor expansion of re in im 1.444 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.444 * [taylor]: Taking taylor expansion of -1 in im 1.444 * [taylor]: Taking taylor expansion of re in im 1.444 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.444 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.444 * [taylor]: Taking taylor expansion of -1 in im 1.444 * [taylor]: Taking taylor expansion of im in im 1.445 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.445 * [taylor]: Taking taylor expansion of -1 in im 1.445 * [taylor]: Taking taylor expansion of im in im 1.447 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.447 * [taylor]: Taking taylor expansion of re in im 1.449 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 1.449 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.449 * [taylor]: Taking taylor expansion of 2.0 in re 1.449 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.449 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.449 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.450 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.450 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.450 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.450 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.450 * [taylor]: Taking taylor expansion of -1 in re 1.450 * [taylor]: Taking taylor expansion of re in re 1.450 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.450 * [taylor]: Taking taylor expansion of -1 in re 1.450 * [taylor]: Taking taylor expansion of re in re 1.450 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.450 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.450 * [taylor]: Taking taylor expansion of -1 in re 1.450 * [taylor]: Taking taylor expansion of im in re 1.450 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.450 * [taylor]: Taking taylor expansion of -1 in re 1.450 * [taylor]: Taking taylor expansion of im in re 1.453 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.453 * [taylor]: Taking taylor expansion of re in re 1.458 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 1.458 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.458 * [taylor]: Taking taylor expansion of 2.0 in re 1.459 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.459 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.459 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.459 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.459 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.459 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.459 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.459 * [taylor]: Taking taylor expansion of -1 in re 1.459 * [taylor]: Taking taylor expansion of re in re 1.459 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.459 * [taylor]: Taking taylor expansion of -1 in re 1.459 * [taylor]: Taking taylor expansion of re in re 1.460 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.460 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.460 * [taylor]: Taking taylor expansion of -1 in re 1.460 * [taylor]: Taking taylor expansion of im in re 1.460 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.460 * [taylor]: Taking taylor expansion of -1 in re 1.460 * [taylor]: Taking taylor expansion of im in re 1.462 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.462 * [taylor]: Taking taylor expansion of re in re 1.468 * [taylor]: Taking taylor expansion of 0 in im 1.469 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 1.469 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.469 * [taylor]: Taking taylor expansion of +nan.0 in im 1.469 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.469 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.469 * [taylor]: Taking taylor expansion of 2.0 in im 1.470 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.470 * [taylor]: Taking taylor expansion of im in im 1.477 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 1.477 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.477 * [taylor]: Taking taylor expansion of +nan.0 in im 1.477 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.477 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.477 * [taylor]: Taking taylor expansion of 2.0 in im 1.478 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.478 * [taylor]: Taking taylor expansion of im in im 1.499 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 1.500 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 1.500 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.500 * [taylor]: Taking taylor expansion of +nan.0 in im 1.500 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.500 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.500 * [taylor]: Taking taylor expansion of 2.0 in im 1.500 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.500 * [taylor]: Taking taylor expansion of im in im 1.501 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 1.501 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 1.501 * [taylor]: Taking taylor expansion of +nan.0 in im 1.501 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 1.501 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.501 * [taylor]: Taking taylor expansion of 2.0 in im 1.502 * [taylor]: Taking taylor expansion of (pow im 6) in im 1.502 * [taylor]: Taking taylor expansion of im in im 1.524 * * * [progress]: simplifying candidates 1.526 * [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 (* (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)))) (log1p (* (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ (* 1 (hypot re im)) re) (+ (* 1 (hypot re im)) re)) (* (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re))) (* (+ (* 1 (hypot re im)) re) (+ (* 1 (hypot re im)) re)) (+ 1 1) (+ (log (sqrt (+ (* 1 (hypot re im)) re))) (log (sqrt (+ (* 1 (hypot re im)) re)))) (log (* (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)))) (exp (* (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)))) (* (* (* (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re))) (sqrt (+ (* 1 (hypot re im)) re))) (* (* (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re))) (sqrt (+ (* 1 (hypot re im)) re)))) (* (cbrt (* (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)))) (cbrt (* (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re))))) (cbrt (* (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)))) (* (* (* (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re))) (* (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)))) (* (+ (* 1 (hypot re im)) re) (+ (* 1 (hypot re im)) re)) (sqrt (* (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)))) (sqrt (* (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt (+ (pow (* 1 (hypot re im)) 3) (pow re 3))) (sqrt (+ (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 (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (- (* re re) (* (* 1 (hypot re im)) re))))) (* (sqrt (+ (pow (* 1 (hypot re im)) 3) (pow re 3))) (sqrt (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re)))) (* (sqrt (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (- (* re re) (* (* 1 (hypot re im)) re)))) (sqrt (- (* 1 (hypot re im)) re))) (* (sqrt (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re))) (sqrt (+ (pow (* 1 (hypot re im)) 3) (pow re 3)))) (* (sqrt (- (* 1 (hypot re im)) re)) (sqrt (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (- (* re re) (* (* 1 (hypot re im)) re))))) (* (sqrt (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re))) (sqrt (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re)))) (* (sqrt (- (* 1 (hypot re im)) re)) (sqrt (- (* 1 (hypot re im)) re))) (* (* (cbrt (sqrt (+ (* 1 (hypot re im)) re))) (cbrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (cbrt (sqrt (+ (* 1 (hypot re im)) re))) (cbrt (sqrt (+ (* 1 (hypot re im)) re))))) (* (cbrt (sqrt (+ (* 1 (hypot re im)) re))) (cbrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt (* (cbrt (+ (* 1 (hypot re im)) re)) (cbrt (+ (* 1 (hypot re im)) re)))) (sqrt (* (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)))) (* (sqrt (sqrt (+ (* 1 (hypot re im)) re))) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt (sqrt (+ (* 1 (hypot re im)) re))) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt (sqrt (+ (* 1 (hypot re im)) re))) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt (sqrt (+ (* 1 (hypot re im)) re))) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re))) (* (sqrt (sqrt (+ (* 1 (hypot re im)) re))) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt (sqrt (+ (* 1 (hypot re im)) re))) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt (sqrt (+ (* 1 (hypot re im)) re))) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt (sqrt (+ (* 1 (hypot re im)) re))) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* 1 1) (* (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re))) (* (sqrt (sqrt (+ (* 1 (hypot re im)) re))) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt (sqrt (+ (* 1 (hypot re im)) re))) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt (sqrt (+ (* 1 (hypot re im)) re))) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt (sqrt (+ (* 1 (hypot re im)) re))) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt (sqrt (+ (* 1 (hypot re im)) re))) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt (sqrt (+ (* 1 (hypot re im)) re))) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt (sqrt (+ (* 1 (hypot re im)) re))) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt (sqrt (+ (* 1 (hypot re im)) re))) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (+ (* 1 (hypot re im)) re)) (* (cbrt (sqrt (+ (* 1 (hypot re im)) re))) (cbrt (sqrt (+ (* 1 (hypot re im)) re))))) (* (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (* (cbrt (+ (* 1 (hypot re im)) re)) (cbrt (+ (* 1 (hypot re im)) re))))) (* (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt (+ (* 1 (hypot re im)) re)) (sqrt 1)) (* (sqrt (+ (* 1 (hypot re im)) re)) (sqrt 1)) (* (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt (+ (* 1 (hypot re im)) re)) 1) (* (cbrt (sqrt (+ (* 1 (hypot re im)) re))) (sqrt (+ (* 1 (hypot re im)) re))) (* (sqrt (cbrt (+ (* 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(log (sqrt (* 2.0 (* (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)))))) (exp (sqrt (* 2.0 (* (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)))))) (* (cbrt (sqrt (* 2.0 (* (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)))))) (cbrt (sqrt (* 2.0 (* (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re))))))) (cbrt (sqrt (* 2.0 (* (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)))))) (* (* (sqrt (* 2.0 (* (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re))))) (sqrt (* 2.0 (* (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)))))) (sqrt (* 2.0 (* (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)))))) (sqrt 2.0) (sqrt (* (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)))) (sqrt (* 2.0 (* (sqrt (+ (pow (* 1 (hypot re im)) 3) (pow re 3))) (sqrt (+ (pow (* 1 (hypot re im)) 3) (pow re 3)))))) (sqrt (* (sqrt (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (- (* re re) (* (* 1 (hypot re im)) re)))) (sqrt (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (- (* re re) (* (* 1 (hypot re im)) re)))))) (sqrt (* 2.0 (* (sqrt (+ (pow (* 1 (hypot re im)) 3) (pow re 3))) (sqrt (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re)))))) (sqrt (* (sqrt (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (- (* re re) (* (* 1 (hypot re im)) re)))) (sqrt (- (* 1 (hypot re im)) re)))) (sqrt (* 2.0 (* (sqrt (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re))) (sqrt (+ (pow (* 1 (hypot re im)) 3) (pow re 3)))))) (sqrt (* (sqrt (- (* 1 (hypot re im)) re)) (sqrt (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (- (* re re) (* (* 1 (hypot re im)) re)))))) (sqrt (* 2.0 (* (sqrt (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re))) (sqrt (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re)))))) (sqrt (* (sqrt (- (* 1 (hypot re im)) re)) (sqrt (- (* 1 (hypot re im)) re)))) (sqrt (* 2.0 (* (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (pow 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(+ (* 1 (hypot re im)) re))))))) (cbrt (sqrt (* 2.0 (* (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)))))) (pow (sqrt (* 2.0 (* (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re))))) 3) (sqrt 2.0) (sqrt (+ (hypot re im) re)) (sqrt (* 2.0 (* (sqrt (+ (pow (* 1 (hypot re im)) 3) (pow re 3))) (sqrt (+ (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 (* (sqrt (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re))) (sqrt (+ (pow (* 1 (hypot re im)) 3) (pow re 3)))))) (sqrt (* (sqrt (- (* 1 (hypot re im)) re)) (sqrt (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (- (* re re) (* (* 1 (hypot re im)) re)))))) (sqrt (* 2.0 (* (sqrt (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re))) (sqrt (+ (pow (* 1 (hypot re im)) 3) (pow re 3)))))) (sqrt (* (sqrt (- (* 1 (hypot re im)) re)) (sqrt (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (- (* re re) (* (* 1 (hypot re im)) re)))))) (sqrt (* 2.0 (* (sqrt (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re))) (sqrt (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re)))))) (sqrt (- (* 1 (hypot re im)) re)) (sqrt (* 2.0 (* (sqrt (+ (pow (* 1 (hypot re im)) 3) (pow re 3))) (sqrt (+ (* 1 (hypot re im)) re))))) (sqrt (sqrt (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (- (* re re) (* (* 1 (hypot re im)) re))))) (sqrt (* 2.0 (* (sqrt (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re))) (sqrt (+ (* 1 (hypot re im)) re))))) (sqrt (sqrt (- (* 1 (hypot re im)) re))) (sqrt (* 2.0 (* (sqrt (+ (pow (* 1 (hypot re im)) 3) (pow re 3))) (sqrt (+ (* 1 (hypot re im)) re))))) (sqrt (sqrt (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (- (* re re) (* (* 1 (hypot re im)) re))))) (sqrt (* 2.0 (* (sqrt (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re))) (sqrt (+ (* 1 (hypot re im)) re))))) (sqrt (sqrt (- (* 1 (hypot re im)) re))) 1/2 1/2 1/2 (sqrt (sqrt (* 2.0 (* (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)))))) (sqrt (sqrt (* 2.0 (* (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)))))) (+ re im) (* 2 re) 0 (+ re im) (* 2 re) 0 (+ re im) (* 2 re) 0 (* (* +nan.0 (sqrt 2.0)) (+ (- (* re re)) (- im re))) (fma (- (sqrt 2.0)) +nan.0 (* +nan.0 (- (/ (sqrt 2.0) (pow re 2)) (/ (sqrt 2.0) re)))) 0 1.572 * * * [progress]: adding candidates to table 1.879 * * [progress]: iteration 4 / 4 1.879 * * * [progress]: picking best candidate 1.902 * * * * [pick]: Picked # 1.902 * * * [progress]: localizing error 1.918 * * * [progress]: generating rewritten candidates 1.918 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 1 1) 1.922 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2 1 1) 1.926 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 2 1 1) 1.930 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2 1) 1.935 * * * [progress]: generating series expansions 1.935 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 1 1) 1.935 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 1.935 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.935 * [taylor]: Taking taylor expansion of re in im 1.935 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.936 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.936 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.936 * [taylor]: Taking taylor expansion of (* re re) in im 1.936 * [taylor]: Taking taylor expansion of re in im 1.936 * [taylor]: Taking taylor expansion of re in im 1.936 * [taylor]: Taking taylor expansion of (* im im) in im 1.936 * [taylor]: Taking taylor expansion of im in im 1.936 * [taylor]: Taking taylor expansion of im in im 1.937 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.937 * [taylor]: Taking taylor expansion of re in re 1.937 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.937 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.937 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.937 * [taylor]: Taking taylor expansion of (* re re) in re 1.937 * [taylor]: Taking taylor expansion of re in re 1.937 * [taylor]: Taking taylor expansion of re in re 1.937 * [taylor]: Taking taylor expansion of (* im im) in re 1.937 * [taylor]: Taking taylor expansion of im in re 1.937 * [taylor]: Taking taylor expansion of im in re 1.938 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.938 * [taylor]: Taking taylor expansion of re in re 1.938 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.938 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.938 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.938 * [taylor]: Taking taylor expansion of (* re re) in re 1.938 * [taylor]: Taking taylor expansion of re in re 1.938 * [taylor]: Taking taylor expansion of re in re 1.938 * [taylor]: Taking taylor expansion of (* im im) in re 1.938 * [taylor]: Taking taylor expansion of im in re 1.938 * [taylor]: Taking taylor expansion of im in re 1.940 * [taylor]: Taking taylor expansion of im in im 1.940 * [taylor]: Taking taylor expansion of 1 in im 1.941 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.941 * [taylor]: Taking taylor expansion of 1/2 in im 1.941 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.941 * [taylor]: Taking taylor expansion of im in im 1.944 * [taylor]: Taking taylor expansion of 0 in im 1.945 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 1.945 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 1.945 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.945 * [taylor]: Taking taylor expansion of re in im 1.945 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.945 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.945 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.945 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.945 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.945 * [taylor]: Taking taylor expansion of re in im 1.946 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.946 * [taylor]: Taking taylor expansion of re in im 1.946 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.946 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.946 * [taylor]: Taking taylor expansion of im in im 1.946 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.946 * [taylor]: Taking taylor expansion of im in im 1.949 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.949 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.949 * [taylor]: Taking taylor expansion of re in re 1.949 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.949 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.949 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.949 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.949 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.949 * [taylor]: Taking taylor expansion of re in re 1.949 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.949 * [taylor]: Taking taylor expansion of re in re 1.950 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.950 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.950 * [taylor]: Taking taylor expansion of im in re 1.950 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.950 * [taylor]: Taking taylor expansion of im in re 1.952 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.952 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.952 * [taylor]: Taking taylor expansion of re in re 1.952 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.952 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.953 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.953 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.953 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.953 * [taylor]: Taking taylor expansion of re in re 1.953 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.953 * [taylor]: Taking taylor expansion of re in re 1.953 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.953 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.953 * [taylor]: Taking taylor expansion of im in re 1.953 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.953 * [taylor]: Taking taylor expansion of im in re 1.956 * [taylor]: Taking taylor expansion of 2 in im 1.957 * [taylor]: Taking taylor expansion of 0 in im 1.959 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.959 * [taylor]: Taking taylor expansion of 1/2 in im 1.960 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.960 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.960 * [taylor]: Taking taylor expansion of im in im 1.969 * [taylor]: Taking taylor expansion of 0 in im 1.970 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 1.970 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.970 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.971 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.971 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.971 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.971 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.971 * [taylor]: Taking taylor expansion of -1 in im 1.971 * [taylor]: Taking taylor expansion of re in im 1.971 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.971 * [taylor]: Taking taylor expansion of -1 in im 1.971 * [taylor]: Taking taylor expansion of re in im 1.971 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.971 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.971 * [taylor]: Taking taylor expansion of -1 in im 1.971 * [taylor]: Taking taylor expansion of im in im 1.971 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.971 * [taylor]: Taking taylor expansion of -1 in im 1.971 * [taylor]: Taking taylor expansion of im in im 1.974 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.974 * [taylor]: Taking taylor expansion of re in im 1.974 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.974 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.974 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.974 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.974 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.974 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.974 * [taylor]: Taking taylor expansion of -1 in re 1.974 * [taylor]: Taking taylor expansion of re in re 1.974 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.974 * [taylor]: Taking taylor expansion of -1 in re 1.974 * [taylor]: Taking taylor expansion of re in re 1.975 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.975 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.975 * [taylor]: Taking taylor expansion of -1 in re 1.975 * [taylor]: Taking taylor expansion of im in re 1.975 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.975 * [taylor]: Taking taylor expansion of -1 in re 1.975 * [taylor]: Taking taylor expansion of im in re 1.977 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.977 * [taylor]: Taking taylor expansion of re in re 1.978 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.978 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.978 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.978 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.978 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.978 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.978 * [taylor]: Taking taylor expansion of -1 in re 1.978 * [taylor]: Taking taylor expansion of re in re 1.978 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.978 * [taylor]: Taking taylor expansion of -1 in re 1.978 * [taylor]: Taking taylor expansion of re in re 1.979 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.979 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.979 * [taylor]: Taking taylor expansion of -1 in re 1.979 * [taylor]: Taking taylor expansion of im in re 1.979 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.979 * [taylor]: Taking taylor expansion of -1 in re 1.979 * [taylor]: Taking taylor expansion of im in re 1.981 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.981 * [taylor]: Taking taylor expansion of re in re 1.982 * [taylor]: Taking taylor expansion of 0 in im 1.983 * [taylor]: Taking taylor expansion of 0 in im 1.986 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.986 * [taylor]: Taking taylor expansion of 1/2 in im 1.986 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.986 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.986 * [taylor]: Taking taylor expansion of im in im 1.991 * [taylor]: Taking taylor expansion of 0 in im 1.993 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2 1 1) 1.993 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 1.993 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.993 * [taylor]: Taking taylor expansion of re in im 1.993 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.993 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.993 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.993 * [taylor]: Taking taylor expansion of (* re re) in im 1.993 * [taylor]: Taking taylor expansion of re in im 1.993 * [taylor]: Taking taylor expansion of re in im 1.993 * [taylor]: Taking taylor expansion of (* im im) in im 1.993 * [taylor]: Taking taylor expansion of im in im 1.993 * [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 1.996 * [taylor]: Taking taylor expansion of (* re re) in re 1.996 * [taylor]: Taking taylor expansion of re in re 1.996 * [taylor]: Taking taylor expansion of re in re 1.996 * [taylor]: Taking taylor expansion of (* im im) in re 1.996 * [taylor]: Taking taylor expansion of im in re 1.996 * [taylor]: Taking taylor expansion of im in re 1.997 * [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 2.003 * [taylor]: Taking taylor expansion of re in im 2.003 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.003 * [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 2.007 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.007 * [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 2.009 * [taylor]: Taking taylor expansion of re in re 2.010 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.010 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.010 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.010 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.010 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.010 * [taylor]: Taking taylor expansion of re in re 2.010 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.010 * [taylor]: Taking taylor expansion of re in re 2.010 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.010 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.010 * [taylor]: Taking taylor expansion of im in re 2.010 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.010 * [taylor]: Taking taylor expansion of im in re 2.013 * [taylor]: Taking taylor expansion of 2 in im 2.014 * [taylor]: Taking taylor expansion of 0 in im 2.017 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.017 * [taylor]: Taking taylor expansion of 1/2 in im 2.017 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.017 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.017 * [taylor]: Taking taylor expansion of im in im 2.021 * [taylor]: Taking taylor expansion of 0 in im 2.023 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 2.023 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 2.023 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.023 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.023 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.023 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.023 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.023 * [taylor]: Taking taylor expansion of -1 in im 2.023 * [taylor]: Taking taylor expansion of re in im 2.023 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.023 * [taylor]: Taking taylor expansion of -1 in im 2.023 * [taylor]: Taking taylor expansion of re in im 2.023 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.023 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.023 * [taylor]: Taking taylor expansion of -1 in im 2.023 * [taylor]: Taking taylor expansion of im in im 2.024 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.024 * [taylor]: Taking taylor expansion of -1 in im 2.024 * [taylor]: Taking taylor expansion of im in im 2.027 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.027 * [taylor]: Taking taylor expansion of re in im 2.027 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.027 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.027 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.027 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.027 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.027 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.027 * [taylor]: Taking taylor expansion of -1 in re 2.027 * [taylor]: Taking taylor expansion of re in re 2.027 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.027 * [taylor]: Taking taylor expansion of -1 in re 2.027 * [taylor]: Taking taylor expansion of re in re 2.027 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.027 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.027 * [taylor]: Taking taylor expansion of -1 in re 2.027 * [taylor]: Taking taylor expansion of im in re 2.028 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.028 * [taylor]: Taking taylor expansion of -1 in re 2.028 * [taylor]: Taking taylor expansion of im in re 2.030 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.030 * [taylor]: Taking taylor expansion of re in re 2.031 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.031 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.031 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.031 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.031 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.031 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.031 * [taylor]: Taking taylor expansion of -1 in re 2.031 * [taylor]: Taking taylor expansion of re in re 2.031 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.031 * [taylor]: Taking taylor expansion of -1 in re 2.031 * [taylor]: Taking taylor expansion of re in re 2.031 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.031 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.031 * [taylor]: Taking taylor expansion of -1 in re 2.031 * [taylor]: Taking taylor expansion of im in re 2.031 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.031 * [taylor]: Taking taylor expansion of -1 in re 2.032 * [taylor]: Taking taylor expansion of im in re 2.034 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.034 * [taylor]: Taking taylor expansion of re in re 2.035 * [taylor]: Taking taylor expansion of 0 in im 2.036 * [taylor]: Taking taylor expansion of 0 in im 2.039 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.039 * [taylor]: Taking taylor expansion of 1/2 in im 2.039 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.039 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.039 * [taylor]: Taking taylor expansion of im in im 2.044 * [taylor]: Taking taylor expansion of 0 in im 2.045 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 2 1 1) 2.045 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 2.045 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 2.045 * [taylor]: Taking taylor expansion of re in im 2.045 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.045 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.045 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.045 * [taylor]: Taking taylor expansion of (* re re) in im 2.046 * [taylor]: Taking taylor expansion of re in im 2.046 * [taylor]: Taking taylor expansion of re in im 2.046 * [taylor]: Taking taylor expansion of (* im im) in im 2.046 * [taylor]: Taking taylor expansion of im in im 2.046 * [taylor]: Taking taylor expansion of im in im 2.047 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.047 * [taylor]: Taking taylor expansion of re in re 2.047 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.047 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.047 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.047 * [taylor]: Taking taylor expansion of (* re re) in re 2.047 * [taylor]: Taking taylor expansion of re in re 2.047 * [taylor]: Taking taylor expansion of re in re 2.047 * [taylor]: Taking taylor expansion of (* im im) in re 2.047 * [taylor]: Taking taylor expansion of im in re 2.047 * [taylor]: Taking taylor expansion of im in re 2.048 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.048 * [taylor]: Taking taylor expansion of re in re 2.048 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.048 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.048 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.048 * [taylor]: Taking taylor expansion of (* re re) in re 2.048 * [taylor]: Taking taylor expansion of re in re 2.048 * [taylor]: Taking taylor expansion of re in re 2.048 * [taylor]: Taking taylor expansion of (* im im) in re 2.048 * [taylor]: Taking taylor expansion of im in re 2.048 * [taylor]: Taking taylor expansion of im in re 2.055 * [taylor]: Taking taylor expansion of im in im 2.055 * [taylor]: Taking taylor expansion of 1 in im 2.056 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.056 * [taylor]: Taking taylor expansion of 1/2 in im 2.056 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.056 * [taylor]: Taking taylor expansion of im in im 2.059 * [taylor]: Taking taylor expansion of 0 in im 2.060 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 2.060 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 2.060 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.060 * [taylor]: Taking taylor expansion of re in im 2.060 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.060 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.060 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.060 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.060 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.060 * [taylor]: Taking taylor expansion of re in im 2.061 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.061 * [taylor]: Taking taylor expansion of re in im 2.061 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.061 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.061 * [taylor]: Taking taylor expansion of im in im 2.061 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.061 * [taylor]: Taking taylor expansion of im in im 2.063 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.064 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.064 * [taylor]: Taking taylor expansion of re in re 2.064 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.064 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.064 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.064 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.064 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.064 * [taylor]: Taking taylor expansion of re in re 2.064 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.064 * [taylor]: Taking taylor expansion of re in re 2.065 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.065 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.065 * [taylor]: Taking taylor expansion of im in re 2.065 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.065 * [taylor]: Taking taylor expansion of im in re 2.067 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.067 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.067 * [taylor]: Taking taylor expansion of re in re 2.067 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.067 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.068 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.068 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.068 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.068 * [taylor]: Taking taylor expansion of re in re 2.068 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.068 * [taylor]: Taking taylor expansion of re in re 2.068 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.068 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.068 * [taylor]: Taking taylor expansion of im in re 2.068 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.068 * [taylor]: Taking taylor expansion of im in re 2.071 * [taylor]: Taking taylor expansion of 2 in im 2.072 * [taylor]: Taking taylor expansion of 0 in im 2.074 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.074 * [taylor]: Taking taylor expansion of 1/2 in im 2.074 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.074 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.075 * [taylor]: Taking taylor expansion of im in im 2.079 * [taylor]: Taking taylor expansion of 0 in im 2.081 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 2.081 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 2.081 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.081 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.081 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.081 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.081 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.081 * [taylor]: Taking taylor expansion of -1 in im 2.081 * [taylor]: Taking taylor expansion of re in im 2.081 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.081 * [taylor]: Taking taylor expansion of -1 in im 2.081 * [taylor]: Taking taylor expansion of re in im 2.081 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.081 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.081 * [taylor]: Taking taylor expansion of -1 in im 2.081 * [taylor]: Taking taylor expansion of im in im 2.082 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.082 * [taylor]: Taking taylor expansion of -1 in im 2.082 * [taylor]: Taking taylor expansion of im in im 2.084 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.084 * [taylor]: Taking taylor expansion of re in im 2.084 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.084 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.085 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.085 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.085 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.085 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.085 * [taylor]: Taking taylor expansion of -1 in re 2.085 * [taylor]: Taking taylor expansion of re in re 2.085 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.085 * [taylor]: Taking taylor expansion of -1 in re 2.085 * [taylor]: Taking taylor expansion of re in re 2.085 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.085 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.085 * [taylor]: Taking taylor expansion of -1 in re 2.085 * [taylor]: Taking taylor expansion of im in re 2.085 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.085 * [taylor]: Taking taylor expansion of -1 in re 2.085 * [taylor]: Taking taylor expansion of im in re 2.088 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.088 * [taylor]: Taking taylor expansion of re in re 2.088 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.089 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.089 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.089 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.089 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.089 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.089 * [taylor]: Taking taylor expansion of -1 in re 2.089 * [taylor]: Taking taylor expansion of re in re 2.089 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.089 * [taylor]: Taking taylor expansion of -1 in re 2.089 * [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 2.092 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.092 * [taylor]: Taking taylor expansion of re in re 2.093 * [taylor]: Taking taylor expansion of 0 in im 2.094 * [taylor]: Taking taylor expansion of 0 in im 2.097 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.097 * [taylor]: Taking taylor expansion of 1/2 in im 2.097 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.097 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.097 * [taylor]: Taking taylor expansion of im in im 2.102 * [taylor]: Taking taylor expansion of 0 in im 2.103 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2 1) 2.103 * [approximate]: Taking taylor expansion of (pow (+ re (hypot re im)) 1/3) in (re im) around 0 2.103 * [taylor]: Taking taylor expansion of (pow (+ re (hypot re im)) 1/3) in im 2.103 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ re (hypot re im))))) in im 2.103 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ re (hypot re im)))) in im 2.103 * [taylor]: Taking taylor expansion of 1/3 in im 2.103 * [taylor]: Taking taylor expansion of (log (+ re (hypot re im))) in im 2.103 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 2.103 * [taylor]: Taking taylor expansion of re in im 2.103 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.104 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.104 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.104 * [taylor]: Taking taylor expansion of (* re re) in im 2.104 * [taylor]: Taking taylor expansion of re in im 2.104 * [taylor]: Taking taylor expansion of re in im 2.104 * [taylor]: Taking taylor expansion of (* im im) in im 2.104 * [taylor]: Taking taylor expansion of im in im 2.104 * [taylor]: Taking taylor expansion of im in im 2.105 * [taylor]: Taking taylor expansion of (pow (+ re (hypot re im)) 1/3) in re 2.105 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ re (hypot re im))))) in re 2.105 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ re (hypot re im)))) in re 2.105 * [taylor]: Taking taylor expansion of 1/3 in re 2.105 * [taylor]: Taking taylor expansion of (log (+ re (hypot re im))) in re 2.105 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.105 * [taylor]: Taking taylor expansion of re in re 2.105 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.105 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.105 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.105 * [taylor]: Taking taylor expansion of (* re re) in re 2.105 * [taylor]: Taking taylor expansion of re in re 2.105 * [taylor]: Taking taylor expansion of re in re 2.105 * [taylor]: Taking taylor expansion of (* im im) in re 2.105 * [taylor]: Taking taylor expansion of im in re 2.105 * [taylor]: Taking taylor expansion of im in re 2.106 * [taylor]: Taking taylor expansion of (pow (+ re (hypot re im)) 1/3) in re 2.106 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ re (hypot re im))))) in re 2.106 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ re (hypot re im)))) in re 2.106 * [taylor]: Taking taylor expansion of 1/3 in re 2.106 * [taylor]: Taking taylor expansion of (log (+ re (hypot re im))) in re 2.106 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.106 * [taylor]: Taking taylor expansion of re in re 2.106 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.107 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.107 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.107 * [taylor]: Taking taylor expansion of (* re re) in re 2.107 * [taylor]: Taking taylor expansion of re in re 2.107 * [taylor]: Taking taylor expansion of re in re 2.107 * [taylor]: Taking taylor expansion of (* im im) in re 2.107 * [taylor]: Taking taylor expansion of im in re 2.107 * [taylor]: Taking taylor expansion of im in re 2.108 * [taylor]: Taking taylor expansion of (pow im 1/3) in im 2.108 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log im))) in im 2.108 * [taylor]: Taking taylor expansion of (* 1/3 (log im)) in im 2.108 * [taylor]: Taking taylor expansion of 1/3 in im 2.108 * [taylor]: Taking taylor expansion of (log im) in im 2.108 * [taylor]: Taking taylor expansion of im in im 2.110 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow im 2)) 1/3)) in im 2.110 * [taylor]: Taking taylor expansion of 1/3 in im 2.110 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 2)) 1/3) in im 2.110 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 2))))) in im 2.110 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 2)))) in im 2.110 * [taylor]: Taking taylor expansion of 1/3 in im 2.110 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 2))) in im 2.110 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.110 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.110 * [taylor]: Taking taylor expansion of im in im 2.115 * [taylor]: Taking taylor expansion of (* 1/18 (pow (/ 1 (pow im 5)) 1/3)) in im 2.116 * [taylor]: Taking taylor expansion of 1/18 in im 2.116 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im 2.116 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im 2.116 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im 2.116 * [taylor]: Taking taylor expansion of 1/3 in im 2.116 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 2.116 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 2.116 * [taylor]: Taking taylor expansion of (pow im 5) in im 2.116 * [taylor]: Taking taylor expansion of im in im 2.118 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/3) in (re im) around 0 2.118 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/3) in im 2.118 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))))) in im 2.118 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in im 2.118 * [taylor]: Taking taylor expansion of 1/3 in im 2.118 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 2.118 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 2.118 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.118 * [taylor]: Taking taylor expansion of re in im 2.118 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.118 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.118 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.118 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.118 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.118 * [taylor]: Taking taylor expansion of re in im 2.119 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.119 * [taylor]: Taking taylor expansion of re in im 2.119 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.119 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.119 * [taylor]: Taking taylor expansion of im 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 (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/3) in re 2.122 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))))) in re 2.122 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re 2.122 * [taylor]: Taking taylor expansion of 1/3 in re 2.122 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 2.122 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.122 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.122 * [taylor]: Taking taylor expansion of re in re 2.123 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 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 re 2.123 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.123 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.123 * [taylor]: Taking taylor expansion of re in re 2.123 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.123 * [taylor]: Taking taylor expansion of re in re 2.123 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.123 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.123 * [taylor]: Taking taylor expansion of im in re 2.123 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.124 * [taylor]: Taking taylor expansion of im in re 2.127 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/3) in re 2.127 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))))) in re 2.127 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re 2.127 * [taylor]: Taking taylor expansion of 1/3 in re 2.128 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 2.128 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.128 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.128 * [taylor]: Taking taylor expansion of re in re 2.128 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.128 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.128 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.128 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.128 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.128 * [taylor]: Taking taylor expansion of re in re 2.128 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.128 * [taylor]: Taking taylor expansion of re in re 2.129 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.129 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.129 * [taylor]: Taking taylor expansion of im in re 2.129 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.129 * [taylor]: Taking taylor expansion of im in re 2.133 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log 2) (log re)))) in im 2.133 * [taylor]: Taking taylor expansion of (* 1/3 (- (log 2) (log re))) in im 2.133 * [taylor]: Taking taylor expansion of 1/3 in im 2.133 * [taylor]: Taking taylor expansion of (- (log 2) (log re)) in im 2.133 * [taylor]: Taking taylor expansion of (log 2) in im 2.133 * [taylor]: Taking taylor expansion of 2 in im 2.133 * [taylor]: Taking taylor expansion of (log re) in im 2.133 * [taylor]: Taking taylor expansion of re in im 2.145 * [taylor]: Taking taylor expansion of 0 in im 2.154 * [taylor]: Taking taylor expansion of (* 1/12 (/ (exp (* 1/3 (- (log 2) (log re)))) (pow im 2))) in im 2.154 * [taylor]: Taking taylor expansion of 1/12 in im 2.154 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log 2) (log re)))) (pow im 2)) in im 2.154 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log 2) (log re)))) in im 2.154 * [taylor]: Taking taylor expansion of (* 1/3 (- (log 2) (log re))) in im 2.154 * [taylor]: Taking taylor expansion of 1/3 in im 2.154 * [taylor]: Taking taylor expansion of (- (log 2) (log re)) in im 2.154 * [taylor]: Taking taylor expansion of (log 2) in im 2.154 * [taylor]: Taking taylor expansion of 2 in im 2.154 * [taylor]: Taking taylor expansion of (log re) in im 2.154 * [taylor]: Taking taylor expansion of re in im 2.155 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.155 * [taylor]: Taking taylor expansion of im in im 2.179 * [taylor]: Taking taylor expansion of 0 in im 2.179 * [approximate]: Taking taylor expansion of (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/3) in (re im) around 0 2.179 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/3) in im 2.180 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in im 2.180 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 2.180 * [taylor]: Taking taylor expansion of 1/3 in im 2.180 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 2.180 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 2.180 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.180 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.180 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.180 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.180 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.180 * [taylor]: Taking taylor expansion of -1 in im 2.180 * [taylor]: Taking taylor expansion of re in im 2.180 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.180 * [taylor]: Taking taylor expansion of -1 in im 2.180 * [taylor]: Taking taylor expansion of re in im 2.180 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.180 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.180 * [taylor]: Taking taylor expansion of -1 in im 2.180 * [taylor]: Taking taylor expansion of im in im 2.180 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.180 * [taylor]: Taking taylor expansion of -1 in im 2.180 * [taylor]: Taking taylor expansion of im in im 2.183 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.183 * [taylor]: Taking taylor expansion of re in im 2.184 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/3) in re 2.184 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in re 2.184 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 2.184 * [taylor]: Taking taylor expansion of 1/3 in re 2.184 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 2.184 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.184 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.184 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.184 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.184 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.184 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.184 * [taylor]: Taking taylor expansion of -1 in re 2.184 * [taylor]: Taking taylor expansion of re in re 2.185 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.185 * [taylor]: Taking taylor expansion of -1 in re 2.185 * [taylor]: Taking taylor expansion of re in re 2.185 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.185 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.185 * [taylor]: Taking taylor expansion of -1 in re 2.185 * [taylor]: Taking taylor expansion of im in re 2.185 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.185 * [taylor]: Taking taylor expansion of -1 in re 2.185 * [taylor]: Taking taylor expansion of im in re 2.188 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.188 * [taylor]: Taking taylor expansion of re in re 2.193 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/3) in re 2.193 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in re 2.193 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 2.193 * [taylor]: Taking taylor expansion of 1/3 in re 2.193 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 2.193 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.193 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.193 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.193 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.193 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.193 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.193 * [taylor]: Taking taylor expansion of -1 in re 2.193 * [taylor]: Taking taylor expansion of re in re 2.193 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.194 * [taylor]: Taking taylor expansion of -1 in re 2.194 * [taylor]: Taking taylor expansion of re in re 2.194 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.194 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.194 * [taylor]: Taking taylor expansion of -1 in re 2.194 * [taylor]: Taking taylor expansion of im in re 2.194 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.194 * [taylor]: Taking taylor expansion of -1 in re 2.194 * [taylor]: Taking taylor expansion of im in re 2.196 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.196 * [taylor]: Taking taylor expansion of re in re 2.202 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re)))) in im 2.202 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re))) in im 2.202 * [taylor]: Taking taylor expansion of 1/3 in im 2.202 * [taylor]: Taking taylor expansion of (+ (log (/ 1/2 (pow im 2))) (log re)) in im 2.202 * [taylor]: Taking taylor expansion of (log (/ 1/2 (pow im 2))) in im 2.202 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.202 * [taylor]: Taking taylor expansion of 1/2 in im 2.202 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.202 * [taylor]: Taking taylor expansion of im in im 2.203 * [taylor]: Taking taylor expansion of (log re) in im 2.203 * [taylor]: Taking taylor expansion of re in im 2.209 * [taylor]: Taking taylor expansion of 0 in im 2.219 * [taylor]: Taking taylor expansion of (* -1/12 (/ (exp (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re)))) (pow im 2))) in im 2.219 * [taylor]: Taking taylor expansion of -1/12 in im 2.219 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re)))) (pow im 2)) in im 2.219 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re)))) in im 2.220 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re))) in im 2.220 * [taylor]: Taking taylor expansion of 1/3 in im 2.220 * [taylor]: Taking taylor expansion of (+ (log (/ 1/2 (pow im 2))) (log re)) in im 2.220 * [taylor]: Taking taylor expansion of (log (/ 1/2 (pow im 2))) in im 2.220 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.220 * [taylor]: Taking taylor expansion of 1/2 in im 2.220 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.220 * [taylor]: Taking taylor expansion of im in im 2.220 * [taylor]: Taking taylor expansion of (log re) in im 2.220 * [taylor]: Taking taylor expansion of re in im 2.222 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.222 * [taylor]: Taking taylor expansion of im in im 2.256 * [taylor]: Taking taylor expansion of 0 in im 2.256 * * * [progress]: simplifying candidates 2.257 * [simplify]: Simplifying using # : (expm1 (+ (hypot re im) re)) (log1p (+ (hypot re im) re)) (* (exp (hypot re im)) (exp re)) (log (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))) (cbrt (+ (hypot re im) re)) (* (* (+ (hypot re im) re) (+ (hypot re im) re)) (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (+ (pow (hypot re im) 3) (pow re 3)) (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re))) (- (* (hypot re im) (hypot re im)) (* re re)) (- (hypot re im) re) (+ (hypot re im) re) (expm1 (+ (* 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)))))) 2.262 * * [simplify]: iteration 0 : 249 enodes (cost 335 ) 2.265 * * [simplify]: iteration 1 : 601 enodes (cost 305 ) 2.276 * * [simplify]: iteration 2 : 2495 enodes (cost 302 ) 2.318 * * [simplify]: iteration 3 : 5001 enodes (cost 296 ) 2.320 * [simplify]: Simplified to: (expm1 (+ (hypot re im) re)) (log1p (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (log (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))) (cbrt (+ (hypot re im) re)) (pow (fma 1 (hypot re im) re) 3) (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (+ (pow (hypot re im) 3) (pow re 3)) (fma (hypot re im) (- (hypot re im) re) (pow re 2)) (- (* (hypot re im) (hypot re im)) (* re re)) (- (hypot re im) re) (fma 1 (hypot re im) re) (expm1 (+ (hypot re im) re)) (log1p (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (log (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))) (cbrt (+ (hypot re im) re)) (pow (fma 1 (hypot re im) re) 3) (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (+ (pow (hypot re im) 3) (pow re 3)) (fma (hypot re im) (- (hypot re im) re) (pow re 2)) (- (* (hypot re im) (hypot re im)) (* re re)) (- (hypot re im) re) (fma 1 (hypot re im) re) (expm1 (+ (hypot re im) re)) (log1p (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (log (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))) (cbrt (+ (hypot re im) re)) (pow (fma 1 (hypot re im) re) 3) (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (+ (pow (hypot re im) 3) (pow re 3)) (fma (hypot re im) (- (hypot re im) re) (pow re 2)) (- (* (hypot re im) (hypot re im)) (* re re)) (- (hypot re im) re) (fma 1 (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))) 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)))))) 2.321 * * * [progress]: adding candidates to table 2.667 * [progress]: [Phase 3 of 3] Extracting. 2.667 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 2.670 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re) 2.671 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # # # # #) 2.719 * * * * [regimes]: Trying to branch on im from (# # # # # # # # # # #) 2.762 * * * * [regimes]: Trying to branch on re from (# # # # # # # # # # #) 2.811 * * * [regime]: Found split indices: #