30.156 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.024 * * * [progress]: [2/2] Setting up program. 0.026 * [progress]: [Phase 2 of 3] Improving. 0.027 * [simplify]: Simplifying using # : (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.029 * * [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 ) 0.033 * [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 / 4 ] rewriting at (2 2 1 2 1) 0.050 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.057 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.065 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1) 0.071 * * * [progress]: generating series expansions 0.071 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 0.071 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.071 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.071 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.071 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.071 * [taylor]: Taking taylor expansion of re in im 0.071 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.071 * [taylor]: Taking taylor expansion of im in im 0.072 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.072 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.072 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.072 * [taylor]: Taking taylor expansion of re in re 0.072 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.072 * [taylor]: Taking taylor expansion of im in re 0.072 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.073 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.073 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.073 * [taylor]: Taking taylor expansion of re in re 0.073 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.073 * [taylor]: Taking taylor expansion of im in re 0.073 * [taylor]: Taking taylor expansion of im in im 0.073 * [taylor]: Taking taylor expansion of 0 in im 0.075 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.075 * [taylor]: Taking taylor expansion of 1/2 in im 0.075 * [taylor]: Taking taylor expansion of im in im 0.077 * [taylor]: Taking taylor expansion of 0 in im 0.078 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.078 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.078 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.078 * [taylor]: Taking taylor expansion of im in im 0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.079 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.079 * [taylor]: Taking taylor expansion of re in im 0.081 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.081 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.081 * [taylor]: Taking taylor expansion of im in re 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.081 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.081 * [taylor]: Taking taylor expansion of re in re 0.084 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.084 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.084 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.084 * [taylor]: Taking taylor expansion of im in re 0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.084 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.084 * [taylor]: Taking taylor expansion of re in re 0.086 * [taylor]: Taking taylor expansion of 1 in im 0.086 * [taylor]: Taking taylor expansion of 0 in im 0.092 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.092 * [taylor]: Taking taylor expansion of 1/2 in im 0.092 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.093 * [taylor]: Taking taylor expansion of im in im 0.096 * [taylor]: Taking taylor expansion of 0 in im 0.097 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.097 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.097 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.097 * [taylor]: Taking taylor expansion of im in im 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.098 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.098 * [taylor]: Taking taylor expansion of re in im 0.100 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.100 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.100 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.100 * [taylor]: Taking taylor expansion of im in re 0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.100 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.100 * [taylor]: Taking taylor expansion of re in re 0.103 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.103 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.103 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.103 * [taylor]: Taking taylor expansion of im in re 0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.103 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.103 * [taylor]: Taking taylor expansion of re in re 0.105 * [taylor]: Taking taylor expansion of 1 in im 0.105 * [taylor]: Taking taylor expansion of 0 in im 0.107 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.107 * [taylor]: Taking taylor expansion of 1/2 in im 0.107 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.107 * [taylor]: Taking taylor expansion of im in im 0.111 * [taylor]: Taking taylor expansion of 0 in im 0.112 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.112 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 0.112 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.112 * [taylor]: Taking taylor expansion of re in im 0.112 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.112 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.112 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.112 * [taylor]: Taking taylor expansion of re in im 0.112 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.112 * [taylor]: Taking taylor expansion of im in im 0.113 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.113 * [taylor]: Taking taylor expansion of re in re 0.113 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.113 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.113 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.113 * [taylor]: Taking taylor expansion of re in re 0.113 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.113 * [taylor]: Taking taylor expansion of im in re 0.113 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.113 * [taylor]: Taking taylor expansion of re in re 0.113 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.113 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.113 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.113 * [taylor]: Taking taylor expansion of re in re 0.113 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.113 * [taylor]: Taking taylor expansion of im in re 0.114 * [taylor]: Taking taylor expansion of im in im 0.114 * [taylor]: Taking taylor expansion of 1 in im 0.116 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.116 * [taylor]: Taking taylor expansion of 1/2 in im 0.116 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.116 * [taylor]: Taking taylor expansion of im in im 0.118 * [taylor]: Taking taylor expansion of 0 in im 0.120 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.120 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.120 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.120 * [taylor]: Taking taylor expansion of re in im 0.120 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.120 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.120 * [taylor]: Taking taylor expansion of im in im 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.120 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.120 * [taylor]: Taking taylor expansion of re in im 0.122 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.122 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.122 * [taylor]: Taking taylor expansion of re in re 0.123 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.123 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.123 * [taylor]: Taking taylor expansion of im in re 0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.123 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.123 * [taylor]: Taking taylor expansion of re in re 0.126 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.126 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.126 * [taylor]: Taking taylor expansion of re in re 0.126 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.126 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.126 * [taylor]: Taking taylor expansion of im in re 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.126 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.126 * [taylor]: Taking taylor expansion of re in re 0.129 * [taylor]: Taking taylor expansion of 2 in im 0.130 * [taylor]: Taking taylor expansion of 0 in im 0.132 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.132 * [taylor]: Taking taylor expansion of 1/2 in im 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.132 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.132 * [taylor]: Taking taylor expansion of im in im 0.137 * [taylor]: Taking taylor expansion of 0 in im 0.139 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.139 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.139 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.139 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.139 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.139 * [taylor]: Taking taylor expansion of im in im 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.140 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.140 * [taylor]: Taking taylor expansion of re in im 0.142 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.142 * [taylor]: Taking taylor expansion of re in im 0.142 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.142 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.142 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.142 * [taylor]: Taking taylor expansion of im in re 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.142 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.142 * [taylor]: Taking taylor expansion of re in re 0.144 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.144 * [taylor]: Taking taylor expansion of re in re 0.145 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.145 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.145 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.145 * [taylor]: Taking taylor expansion of im in re 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.145 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.145 * [taylor]: Taking taylor expansion of re in re 0.147 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.147 * [taylor]: Taking taylor expansion of re in re 0.148 * [taylor]: Taking taylor expansion of 0 in im 0.149 * [taylor]: Taking taylor expansion of 0 in im 0.152 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.152 * [taylor]: Taking taylor expansion of 1/2 in im 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.152 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.152 * [taylor]: Taking taylor expansion of im in im 0.156 * [taylor]: Taking taylor expansion of 0 in im 0.158 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.158 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in (re im) around 0 0.158 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 0.158 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.158 * [taylor]: Taking taylor expansion of 2.0 in im 0.159 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 0.159 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.159 * [taylor]: Taking taylor expansion of re in im 0.159 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.159 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.159 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.159 * [taylor]: Taking taylor expansion of re in im 0.159 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.159 * [taylor]: Taking taylor expansion of im in im 0.160 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.160 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.160 * [taylor]: Taking taylor expansion of 2.0 in re 0.161 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.161 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.161 * [taylor]: Taking taylor expansion of re in re 0.161 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.161 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.161 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.161 * [taylor]: Taking taylor expansion of re in re 0.161 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.161 * [taylor]: Taking taylor expansion of im in re 0.162 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.162 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.162 * [taylor]: Taking taylor expansion of 2.0 in re 0.163 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.163 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.163 * [taylor]: Taking taylor expansion of re in re 0.163 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.163 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.163 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.163 * [taylor]: Taking taylor expansion of re in re 0.163 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.163 * [taylor]: Taking taylor expansion of im in re 0.164 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.164 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.164 * [taylor]: Taking taylor expansion of 2.0 in im 0.165 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.165 * [taylor]: Taking taylor expansion of im in im 0.166 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.167 * [taylor]: Taking taylor expansion of 1/2 in im 0.167 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.167 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.167 * [taylor]: Taking taylor expansion of 2.0 in im 0.167 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.167 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.167 * [taylor]: Taking taylor expansion of im in im 0.184 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.184 * [taylor]: Taking taylor expansion of 1/8 in im 0.184 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.184 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.184 * [taylor]: Taking taylor expansion of 2.0 in im 0.185 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.185 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.185 * [taylor]: Taking taylor expansion of im in im 0.201 * [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 0.201 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.201 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.201 * [taylor]: Taking taylor expansion of 2.0 in im 0.202 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.202 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.202 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.202 * [taylor]: Taking taylor expansion of re in im 0.202 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.202 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.202 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.202 * [taylor]: Taking taylor expansion of im in im 0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.202 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.202 * [taylor]: Taking taylor expansion of re in im 0.206 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.206 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.206 * [taylor]: Taking taylor expansion of 2.0 in re 0.207 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.207 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.207 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.207 * [taylor]: Taking taylor expansion of re in re 0.207 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.207 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.207 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.207 * [taylor]: Taking taylor expansion of im in re 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.207 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.207 * [taylor]: Taking taylor expansion of re in re 0.211 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.211 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.211 * [taylor]: Taking taylor expansion of 2.0 in re 0.212 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.212 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.212 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.212 * [taylor]: Taking taylor expansion of re in re 0.212 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.212 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.212 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.212 * [taylor]: Taking taylor expansion of im in re 0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.212 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.212 * [taylor]: Taking taylor expansion of re in re 0.216 * [taylor]: Taking taylor expansion of 0 in im 0.218 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.218 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.218 * [taylor]: Taking taylor expansion of +nan.0 in im 0.218 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.218 * [taylor]: Taking taylor expansion of 2.0 in im 0.223 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.223 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.223 * [taylor]: Taking taylor expansion of +nan.0 in im 0.223 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.223 * [taylor]: Taking taylor expansion of 2.0 in im 0.232 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.232 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.232 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.232 * [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 0.233 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.233 * [taylor]: Taking taylor expansion of im in im 0.234 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.234 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.234 * [taylor]: Taking taylor expansion of +nan.0 in im 0.234 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.234 * [taylor]: Taking taylor expansion of 2.0 in im 0.245 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.245 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.245 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.245 * [taylor]: Taking taylor expansion of +nan.0 in im 0.245 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.245 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.245 * [taylor]: Taking taylor expansion of 2.0 in im 0.246 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.246 * [taylor]: Taking taylor expansion of im in im 0.247 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.247 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.247 * [taylor]: Taking taylor expansion of +nan.0 in im 0.247 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.247 * [taylor]: Taking taylor expansion of 2.0 in im 0.261 * [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 0.261 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.261 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.261 * [taylor]: Taking taylor expansion of 2.0 in im 0.262 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.262 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.262 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.262 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.262 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.262 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.262 * [taylor]: Taking taylor expansion of im in im 0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.263 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.263 * [taylor]: Taking taylor expansion of re in im 0.265 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.265 * [taylor]: Taking taylor expansion of re in im 0.272 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.272 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.272 * [taylor]: Taking taylor expansion of 2.0 in re 0.273 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.273 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.273 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.273 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.273 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.273 * [taylor]: Taking taylor expansion of im in re 0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.274 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.274 * [taylor]: Taking taylor expansion of re in re 0.276 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.276 * [taylor]: Taking taylor expansion of re in re 0.281 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.281 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.281 * [taylor]: Taking taylor expansion of 2.0 in re 0.282 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.282 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.282 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.282 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.282 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.282 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.282 * [taylor]: Taking taylor expansion of im in re 0.282 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.282 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.282 * [taylor]: Taking taylor expansion of re in re 0.285 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.285 * [taylor]: Taking taylor expansion of re in re 0.291 * [taylor]: Taking taylor expansion of 0 in im 0.291 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.291 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.291 * [taylor]: Taking taylor expansion of +nan.0 in im 0.291 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.291 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.291 * [taylor]: Taking taylor expansion of 2.0 in im 0.292 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.292 * [taylor]: Taking taylor expansion of im in im 0.299 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.299 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.299 * [taylor]: Taking taylor expansion of +nan.0 in im 0.299 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) 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 4) in im 0.300 * [taylor]: Taking taylor expansion of im in im 0.317 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.317 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.317 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.317 * [taylor]: Taking taylor expansion of +nan.0 in im 0.317 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.317 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.317 * [taylor]: Taking taylor expansion of 2.0 in im 0.318 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.318 * [taylor]: Taking taylor expansion of im in im 0.319 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.319 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.319 * [taylor]: Taking taylor expansion of +nan.0 in im 0.319 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.319 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.319 * [taylor]: Taking taylor expansion of 2.0 in im 0.320 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.320 * [taylor]: Taking taylor expansion of im in im 0.343 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1) 0.344 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.344 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.344 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.344 * [taylor]: Taking taylor expansion of re in im 0.344 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.344 * [taylor]: Taking taylor expansion of im in im 0.344 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.344 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.344 * [taylor]: Taking taylor expansion of re in re 0.344 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.344 * [taylor]: Taking taylor expansion of im in re 0.344 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.344 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.344 * [taylor]: Taking taylor expansion of re in re 0.344 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.344 * [taylor]: Taking taylor expansion of im in re 0.344 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.344 * [taylor]: Taking taylor expansion of im in im 0.344 * [taylor]: Taking taylor expansion of 0 in im 0.345 * [taylor]: Taking taylor expansion of 1 in im 0.347 * [taylor]: Taking taylor expansion of 0 in im 0.349 * [taylor]: Taking taylor expansion of 0 in im 0.349 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.349 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.349 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.349 * [taylor]: Taking taylor expansion of im in im 0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.350 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.350 * [taylor]: Taking taylor expansion of re in im 0.350 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.350 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.350 * [taylor]: Taking taylor expansion of im in re 0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.350 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.350 * [taylor]: Taking taylor expansion of re in re 0.351 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.351 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.351 * [taylor]: Taking taylor expansion of im in re 0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.351 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.351 * [taylor]: Taking taylor expansion of re in re 0.352 * [taylor]: Taking taylor expansion of 1 in im 0.353 * [taylor]: Taking taylor expansion of 0 in im 0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.354 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.354 * [taylor]: Taking taylor expansion of im in im 0.362 * [taylor]: Taking taylor expansion of 0 in im 0.365 * [taylor]: Taking taylor expansion of 0 in im 0.366 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.366 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.366 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.366 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.366 * [taylor]: Taking taylor expansion of im in im 0.367 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.367 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.367 * [taylor]: Taking taylor expansion of re in im 0.367 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.367 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.367 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.367 * [taylor]: Taking taylor expansion of im in re 0.367 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.367 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.367 * [taylor]: Taking taylor expansion of re in re 0.368 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.368 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.368 * [taylor]: Taking taylor expansion of im in re 0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.368 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.368 * [taylor]: Taking taylor expansion of re in re 0.369 * [taylor]: Taking taylor expansion of 1 in im 0.370 * [taylor]: Taking taylor expansion of 0 in im 0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.371 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.371 * [taylor]: Taking taylor expansion of im in im 0.373 * [taylor]: Taking taylor expansion of 0 in im 0.376 * [taylor]: Taking taylor expansion of 0 in im 0.378 * * * [progress]: simplifying candidates 0.379 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (expm1 (+ (sqrt (+ (* re re) (* im im))) re)) (log1p (+ (sqrt (+ (* re re) (* im im))) re)) (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) (expm1 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (log1p (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (* (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (expm1 (+ (* re re) (* im im))) (log1p (+ (* re re) (* im im))) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) im re (* -1 re) (+ re im) (* 2 re) 0 (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0 (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 0.384 * * [simplify]: iteration 0 : 296 enodes (cost 446 ) 0.390 * * [simplify]: iteration 1 : 1086 enodes (cost 401 ) 0.408 * * [simplify]: iteration 2 : 3561 enodes (cost 382 ) 0.469 * * [simplify]: iteration 3 : 5001 enodes (cost 381 ) 0.472 * [simplify]: Simplified to: (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (hypot re im) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (hypot re im) (hypot (pow im 3) (pow re 3)) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (expm1 (+ (sqrt (+ (* re re) (* im im))) re)) (log1p (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ re (hypot re im))) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ re (hypot re im))) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (pow (+ re (hypot re im)) 3) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (fma (pow re 2) re (pow (hypot re im) 3)) (fma re (- re (hypot re im)) (fma re re (* im im))) (+ 0 (pow im 2)) (- (hypot re im) re) (+ re (hypot re im)) (expm1 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (log1p (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (pow (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 3) (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (expm1 (+ (* re re) (* im im))) (log1p (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (pow (hypot re im) 6) (hypot re im) (hypot re im) (fma im (pow im 5) (pow re 6)) (fma im (- (pow im 3) (* (pow re 2) im)) (pow re 4)) (fma (- (pow im 3)) im (pow re 4)) (- (* re re) (* im im)) im re (* -1 re) (+ re im) (* 2 re) 0 (* (* +nan.0 (sqrt 2.0)) (+ (- (* re re)) (- im re))) (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) 0 (fma re re (* im im)) (fma re re (* im im)) (fma re re (* im im)) 0.472 * * * [progress]: adding candidates to table 0.700 * * [progress]: iteration 2 / 4 0.700 * * * [progress]: picking best candidate 0.711 * * * * [pick]: Picked # 0.711 * * * [progress]: localizing error 0.719 * * * [progress]: generating rewritten candidates 0.720 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 2 2) 0.723 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.731 * * * [progress]: generating series expansions 0.731 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 2 2) 0.731 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 0.731 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.731 * [taylor]: Taking taylor expansion of re in im 0.731 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.731 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.731 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.731 * [taylor]: Taking taylor expansion of (* re re) in im 0.731 * [taylor]: Taking taylor expansion of re in im 0.731 * [taylor]: Taking taylor expansion of re in im 0.731 * [taylor]: Taking taylor expansion of (* im im) in im 0.731 * [taylor]: Taking taylor expansion of im in im 0.731 * [taylor]: Taking taylor expansion of im in im 0.733 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.733 * [taylor]: Taking taylor expansion of re in re 0.733 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.733 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.733 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.733 * [taylor]: Taking taylor expansion of (* re re) in re 0.733 * [taylor]: Taking taylor expansion of re in re 0.733 * [taylor]: Taking taylor expansion of re in re 0.733 * [taylor]: Taking taylor expansion of (* im im) in re 0.733 * [taylor]: Taking taylor expansion of im in re 0.733 * [taylor]: Taking taylor expansion of im in re 0.734 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.734 * [taylor]: Taking taylor expansion of re in re 0.734 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.734 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.734 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.734 * [taylor]: Taking taylor expansion of (* re re) in re 0.734 * [taylor]: Taking taylor expansion of re in re 0.734 * [taylor]: Taking taylor expansion of re in re 0.734 * [taylor]: Taking taylor expansion of (* im im) in re 0.734 * [taylor]: Taking taylor expansion of im in re 0.734 * [taylor]: Taking taylor expansion of im in re 0.736 * [taylor]: Taking taylor expansion of im in im 0.736 * [taylor]: Taking taylor expansion of 1 in im 0.738 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.738 * [taylor]: Taking taylor expansion of 1/2 in im 0.738 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.738 * [taylor]: Taking taylor expansion of im in im 0.740 * [taylor]: Taking taylor expansion of 0 in im 0.742 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 0.742 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.742 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.742 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.742 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.742 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.742 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.742 * [taylor]: Taking taylor expansion of re in im 0.742 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.742 * [taylor]: Taking taylor expansion of re in im 0.742 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.742 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.742 * [taylor]: Taking taylor expansion of im in im 0.742 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.742 * [taylor]: Taking taylor expansion of im in im 0.745 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.745 * [taylor]: Taking taylor expansion of re in im 0.745 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.745 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.745 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.745 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.745 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.745 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.746 * [taylor]: Taking taylor expansion of re in re 0.746 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.746 * [taylor]: Taking taylor expansion of re in re 0.746 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.746 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.746 * [taylor]: Taking taylor expansion of im in re 0.746 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.746 * [taylor]: Taking taylor expansion of im in re 0.749 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.749 * [taylor]: Taking taylor expansion of re in re 0.749 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.749 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.749 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.749 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.749 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.749 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.749 * [taylor]: Taking taylor expansion of re in re 0.750 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.750 * [taylor]: Taking taylor expansion of re in re 0.750 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.750 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.750 * [taylor]: Taking taylor expansion of im in re 0.750 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.750 * [taylor]: Taking taylor expansion of im in re 0.753 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.753 * [taylor]: Taking taylor expansion of re in re 0.753 * [taylor]: Taking taylor expansion of 2 in im 0.754 * [taylor]: Taking taylor expansion of 0 in im 0.757 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.757 * [taylor]: Taking taylor expansion of 1/2 in im 0.757 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.757 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.757 * [taylor]: Taking taylor expansion of im in im 0.762 * [taylor]: Taking taylor expansion of 0 in im 0.764 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 0.764 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.764 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 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 im 0.764 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.764 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.764 * [taylor]: Taking taylor expansion of -1 in im 0.764 * [taylor]: Taking taylor expansion of re in im 0.764 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.764 * [taylor]: Taking taylor expansion of -1 in im 0.764 * [taylor]: Taking taylor expansion of re in im 0.764 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.764 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.764 * [taylor]: Taking taylor expansion of -1 in im 0.764 * [taylor]: Taking taylor expansion of im in im 0.764 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.765 * [taylor]: Taking taylor expansion of -1 in im 0.765 * [taylor]: Taking taylor expansion of im in im 0.767 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.768 * [taylor]: Taking taylor expansion of re in im 0.768 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.768 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.768 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.768 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.768 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.768 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.768 * [taylor]: Taking taylor expansion of -1 in re 0.768 * [taylor]: Taking taylor expansion of re in re 0.768 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.768 * [taylor]: Taking taylor expansion of -1 in re 0.768 * [taylor]: Taking taylor expansion of re in re 0.768 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.768 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.768 * [taylor]: Taking taylor expansion of -1 in re 0.768 * [taylor]: Taking taylor expansion of im in re 0.769 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.769 * [taylor]: Taking taylor expansion of -1 in re 0.769 * [taylor]: Taking taylor expansion of im in re 0.771 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.772 * [taylor]: Taking taylor expansion of re in re 0.772 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.772 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.772 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.772 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.772 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.772 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.772 * [taylor]: Taking taylor expansion of -1 in re 0.772 * [taylor]: Taking taylor expansion of re in re 0.772 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.772 * [taylor]: Taking taylor expansion of -1 in re 0.772 * [taylor]: Taking taylor expansion of re in re 0.773 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.773 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.773 * [taylor]: Taking taylor expansion of -1 in re 0.773 * [taylor]: Taking taylor expansion of im in re 0.773 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.773 * [taylor]: Taking taylor expansion of -1 in re 0.773 * [taylor]: Taking taylor expansion of im in re 0.775 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.775 * [taylor]: Taking taylor expansion of re in re 0.776 * [taylor]: Taking taylor expansion of 0 in im 0.777 * [taylor]: Taking taylor expansion of 0 in im 0.786 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.786 * [taylor]: Taking taylor expansion of 1/2 in im 0.786 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.786 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.786 * [taylor]: Taking taylor expansion of im in im 0.791 * [taylor]: Taking taylor expansion of 0 in im 0.793 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.793 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0 0.793 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im 0.793 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 0.793 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.793 * [taylor]: Taking taylor expansion of re in im 0.793 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.793 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.793 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.793 * [taylor]: Taking taylor expansion of (* re re) in im 0.793 * [taylor]: Taking taylor expansion of re in im 0.793 * [taylor]: Taking taylor expansion of re in im 0.793 * [taylor]: Taking taylor expansion of (* im im) in im 0.793 * [taylor]: Taking taylor expansion of im in im 0.793 * [taylor]: Taking taylor expansion of im in im 0.795 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.795 * [taylor]: Taking taylor expansion of 2.0 in im 0.796 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 0.796 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 0.796 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.796 * [taylor]: Taking taylor expansion of re in re 0.796 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.796 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.796 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.796 * [taylor]: Taking taylor expansion of (* re re) in re 0.796 * [taylor]: Taking taylor expansion of re in re 0.796 * [taylor]: Taking taylor expansion of re in re 0.796 * [taylor]: Taking taylor expansion of (* im im) in re 0.796 * [taylor]: Taking taylor expansion of im in re 0.796 * [taylor]: Taking taylor expansion of im in re 0.797 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.797 * [taylor]: Taking taylor expansion of 2.0 in re 0.798 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 0.798 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 0.798 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.798 * [taylor]: Taking taylor expansion of re in re 0.798 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.798 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.798 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.798 * [taylor]: Taking taylor expansion of (* re re) in re 0.798 * [taylor]: Taking taylor expansion of re in re 0.798 * [taylor]: Taking taylor expansion of re in re 0.798 * [taylor]: Taking taylor expansion of (* im im) in re 0.798 * [taylor]: Taking taylor expansion of im in re 0.798 * [taylor]: Taking taylor expansion of im in re 0.800 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.800 * [taylor]: Taking taylor expansion of 2.0 in re 0.801 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.801 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.801 * [taylor]: Taking taylor expansion of 2.0 in im 0.802 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.802 * [taylor]: Taking taylor expansion of im in im 0.804 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.804 * [taylor]: Taking taylor expansion of 1/2 in im 0.804 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.804 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.804 * [taylor]: Taking taylor expansion of 2.0 in im 0.804 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.804 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.804 * [taylor]: Taking taylor expansion of im in im 0.816 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.816 * [taylor]: Taking taylor expansion of 1/8 in im 0.816 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.816 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.816 * [taylor]: Taking taylor expansion of 2.0 in im 0.817 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.817 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.817 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.817 * [taylor]: Taking taylor expansion of im in im 0.833 * [approximate]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 0.833 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im 0.833 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 0.833 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.833 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.833 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.833 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.833 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.833 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.833 * [taylor]: Taking taylor expansion of re in im 0.833 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.833 * [taylor]: Taking taylor expansion of re in im 0.833 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.833 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.833 * [taylor]: Taking taylor expansion of im in im 0.834 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.834 * [taylor]: Taking taylor expansion of im in im 0.836 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.836 * [taylor]: Taking taylor expansion of re in im 0.838 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.838 * [taylor]: Taking taylor expansion of 2.0 in im 0.840 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 0.840 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 0.840 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.840 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.840 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.840 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.840 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.840 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.840 * [taylor]: Taking taylor expansion of re in re 0.841 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.841 * [taylor]: Taking taylor expansion of re in re 0.841 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.841 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.841 * [taylor]: Taking taylor expansion of im in re 0.841 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.841 * [taylor]: Taking taylor expansion of im in re 0.844 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.844 * [taylor]: Taking taylor expansion of re in re 0.845 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.845 * [taylor]: Taking taylor expansion of 2.0 in re 0.846 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 0.846 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 0.846 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.846 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.846 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.846 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.846 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.846 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.846 * [taylor]: Taking taylor expansion of re in re 0.846 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.847 * [taylor]: Taking taylor expansion of re in re 0.847 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.847 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.847 * [taylor]: Taking taylor expansion of im in re 0.847 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.847 * [taylor]: Taking taylor expansion of im in re 0.849 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.850 * [taylor]: Taking taylor expansion of re in re 0.851 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.851 * [taylor]: Taking taylor expansion of 2.0 in re 0.852 * [taylor]: Taking taylor expansion of 0 in im 0.853 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.853 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.853 * [taylor]: Taking taylor expansion of +nan.0 in im 0.853 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.853 * [taylor]: Taking taylor expansion of 2.0 in im 0.859 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.859 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.859 * [taylor]: Taking taylor expansion of +nan.0 in im 0.859 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.859 * [taylor]: Taking taylor expansion of 2.0 in im 0.869 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.869 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.869 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.869 * [taylor]: Taking taylor expansion of +nan.0 in im 0.869 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.869 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.869 * [taylor]: Taking taylor expansion of 2.0 in im 0.870 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.870 * [taylor]: Taking taylor expansion of im in im 0.871 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.871 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.871 * [taylor]: Taking taylor expansion of +nan.0 in im 0.871 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.871 * [taylor]: Taking taylor expansion of 2.0 in im 0.890 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.890 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.890 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.890 * [taylor]: Taking taylor expansion of +nan.0 in im 0.890 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.890 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.890 * [taylor]: Taking taylor expansion of 2.0 in im 0.890 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.890 * [taylor]: Taking taylor expansion of im in im 0.891 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.891 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.891 * [taylor]: Taking taylor expansion of +nan.0 in im 0.891 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.891 * [taylor]: Taking taylor expansion of 2.0 in im 0.905 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 0.905 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 0.905 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.905 * [taylor]: Taking taylor expansion of 2.0 in im 0.906 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 0.906 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.906 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.906 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.906 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.906 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.906 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.906 * [taylor]: Taking taylor expansion of -1 in im 0.906 * [taylor]: Taking taylor expansion of re in im 0.906 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.906 * [taylor]: Taking taylor expansion of -1 in im 0.906 * [taylor]: Taking taylor expansion of re in im 0.906 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.906 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.906 * [taylor]: Taking taylor expansion of -1 in im 0.906 * [taylor]: Taking taylor expansion of im in im 0.906 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.906 * [taylor]: Taking taylor expansion of -1 in im 0.906 * [taylor]: Taking taylor expansion of im in im 0.909 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.909 * [taylor]: Taking taylor expansion of re in im 0.911 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.911 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.911 * [taylor]: Taking taylor expansion of 2.0 in re 0.912 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.912 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.912 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.912 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.912 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.912 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.912 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.912 * [taylor]: Taking taylor expansion of -1 in re 0.912 * [taylor]: Taking taylor expansion of re in re 0.912 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.912 * [taylor]: Taking taylor expansion of -1 in re 0.912 * [taylor]: Taking taylor expansion of re in re 0.913 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.913 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.913 * [taylor]: Taking taylor expansion of -1 in re 0.913 * [taylor]: Taking taylor expansion of im in re 0.913 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.913 * [taylor]: Taking taylor expansion of -1 in re 0.913 * [taylor]: Taking taylor expansion of im in re 0.915 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.915 * [taylor]: Taking taylor expansion of re in re 0.921 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.921 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.921 * [taylor]: Taking taylor expansion of 2.0 in re 0.922 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.922 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.922 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.922 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.922 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.922 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.922 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.922 * [taylor]: Taking taylor expansion of -1 in re 0.922 * [taylor]: Taking taylor expansion of re in re 0.922 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.923 * [taylor]: Taking taylor expansion of -1 in re 0.923 * [taylor]: Taking taylor expansion of re in re 0.923 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.923 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.923 * [taylor]: Taking taylor expansion of -1 in re 0.923 * [taylor]: Taking taylor expansion of im in re 0.923 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.923 * [taylor]: Taking taylor expansion of -1 in re 0.923 * [taylor]: Taking taylor expansion of im in re 0.926 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.926 * [taylor]: Taking taylor expansion of re in re 0.932 * [taylor]: Taking taylor expansion of 0 in im 0.932 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.932 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.932 * [taylor]: Taking taylor expansion of +nan.0 in im 0.932 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.932 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.932 * [taylor]: Taking taylor expansion of 2.0 in im 0.933 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.933 * [taylor]: Taking taylor expansion of im in im 0.941 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.941 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.941 * [taylor]: Taking taylor expansion of +nan.0 in im 0.941 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.941 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.941 * [taylor]: Taking taylor expansion of 2.0 in im 0.942 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.942 * [taylor]: Taking taylor expansion of im in im 0.960 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.960 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.960 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.960 * [taylor]: Taking taylor expansion of +nan.0 in im 0.960 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.960 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.960 * [taylor]: Taking taylor expansion of 2.0 in im 0.960 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.961 * [taylor]: Taking taylor expansion of im in im 0.962 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.962 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.962 * [taylor]: Taking taylor expansion of +nan.0 in im 0.962 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.962 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.962 * [taylor]: Taking taylor expansion of 2.0 in im 0.968 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.968 * [taylor]: Taking taylor expansion of im in im 0.993 * * * [progress]: simplifying candidates 0.994 * [simplify]: Simplifying using # : (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (* (exp re) (exp (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (* (* (+ re (hypot re im)) (+ re (hypot re im))) (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im)))) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (expm1 (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (log1p (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (log (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (exp (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (* (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (* (* (sqrt (* 2.0 (* 1 (+ re (hypot re im))))) (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt 2.0) (sqrt (* 1 (+ re (hypot re im)))) (sqrt (* 2.0 (* 1 (+ (pow re 3) (pow (hypot re im) 3))))) (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))) (sqrt (* 2.0 (* 1 (- (* re re) (* (hypot re im) (hypot re im)))))) (sqrt (- re (hypot re im))) (/ 1 2) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (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 0.998 * * [simplify]: iteration 0 : 194 enodes (cost 185 ) 1.003 * * [simplify]: iteration 1 : 791 enodes (cost 167 ) 1.017 * * [simplify]: iteration 2 : 3233 enodes (cost 161 ) 1.076 * * [simplify]: iteration 3 : 5001 enodes (cost 161 ) 1.078 * [simplify]: Simplified to: (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (exp (+ re (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (pow (+ re (hypot re im)) 3) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (fma (hypot re im) (- (hypot re im) re) (pow re 2)) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (expm1 (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (log1p (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (log (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (exp (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (* (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (pow (sqrt (* 2.0 (* 1 (+ re (hypot re im))))) 3) (sqrt 2.0) (sqrt (+ re (hypot re im))) (sqrt (* 2.0 (* 1 (+ (pow re 3) (pow (hypot re im) 3))))) (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))) (sqrt (* 2.0 (* 1 (- (* re re) (* (hypot re im) (hypot re im)))))) (sqrt (- re (hypot re im))) 1/2 1/2 1/2 (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (+ re im) (* 2 re) 0 (* (* +nan.0 (sqrt 2.0)) (+ (- (pow re 2)) (- im re))) (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) 0 1.078 * * * [progress]: adding candidates to table 1.186 * * [progress]: iteration 3 / 4 1.186 * * * [progress]: picking best candidate 1.198 * * * * [pick]: Picked # 1.199 * * * [progress]: localizing error 1.207 * * * [progress]: generating rewritten candidates 1.207 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 2 1) 1.210 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 1.218 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2) 1.224 * * * [progress]: generating series expansions 1.224 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 2 1) 1.224 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 1.224 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.224 * [taylor]: Taking taylor expansion of re in im 1.224 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.224 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.224 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.224 * [taylor]: Taking taylor expansion of (* re re) in im 1.224 * [taylor]: Taking taylor expansion of re in im 1.224 * [taylor]: Taking taylor expansion of re in im 1.224 * [taylor]: Taking taylor expansion of (* im im) in im 1.224 * [taylor]: Taking taylor expansion of im in im 1.224 * [taylor]: Taking taylor expansion of im in im 1.226 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.226 * [taylor]: Taking taylor expansion of re in re 1.226 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.226 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.226 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.226 * [taylor]: Taking taylor expansion of (* re re) in re 1.226 * [taylor]: Taking taylor expansion of re in re 1.226 * [taylor]: Taking taylor expansion of re in re 1.226 * [taylor]: Taking taylor expansion of (* im im) in re 1.226 * [taylor]: Taking taylor expansion of im in re 1.226 * [taylor]: Taking taylor expansion of im in re 1.227 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.227 * [taylor]: Taking taylor expansion of re in re 1.227 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.227 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.227 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.227 * [taylor]: Taking taylor expansion of (* re re) in re 1.227 * [taylor]: Taking taylor expansion of re in re 1.227 * [taylor]: Taking taylor expansion of re in re 1.227 * [taylor]: Taking taylor expansion of (* im im) in re 1.227 * [taylor]: Taking taylor expansion of im in re 1.227 * [taylor]: Taking taylor expansion of im in re 1.229 * [taylor]: Taking taylor expansion of im in im 1.229 * [taylor]: Taking taylor expansion of 1 in im 1.231 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.231 * [taylor]: Taking taylor expansion of 1/2 in im 1.231 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.231 * [taylor]: Taking taylor expansion of im in im 1.233 * [taylor]: Taking taylor expansion of 0 in im 1.235 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 1.235 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.235 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.235 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.235 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.235 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.235 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.235 * [taylor]: Taking taylor expansion of re in im 1.235 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.235 * [taylor]: Taking taylor expansion of re in im 1.235 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.235 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.235 * [taylor]: Taking taylor expansion of im in im 1.235 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.235 * [taylor]: Taking taylor expansion of im in im 1.238 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.239 * [taylor]: Taking taylor expansion of re in im 1.239 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.239 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.239 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.239 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.239 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.239 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.239 * [taylor]: Taking taylor expansion of re in re 1.239 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.239 * [taylor]: Taking taylor expansion of re in re 1.239 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.239 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.239 * [taylor]: Taking taylor expansion of im in re 1.239 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.239 * [taylor]: Taking taylor expansion of im in re 1.242 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.242 * [taylor]: Taking taylor expansion of re in re 1.242 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.242 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.242 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.242 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.242 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.243 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.243 * [taylor]: Taking taylor expansion of re in re 1.243 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.243 * [taylor]: Taking taylor expansion of re in re 1.243 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.243 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.243 * [taylor]: Taking taylor expansion of im in re 1.243 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.243 * [taylor]: Taking taylor expansion of im in re 1.246 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.246 * [taylor]: Taking taylor expansion of re in re 1.246 * [taylor]: Taking taylor expansion of 2 in im 1.247 * [taylor]: Taking taylor expansion of 0 in im 1.250 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.250 * [taylor]: Taking taylor expansion of 1/2 in im 1.250 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.250 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.250 * [taylor]: Taking taylor expansion of im in im 1.260 * [taylor]: Taking taylor expansion of 0 in im 1.262 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 1.262 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.262 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.262 * [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 im 1.262 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.262 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.262 * [taylor]: Taking taylor expansion of -1 in im 1.262 * [taylor]: Taking taylor expansion of re in im 1.262 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.262 * [taylor]: Taking taylor expansion of -1 in im 1.262 * [taylor]: Taking taylor expansion of re in im 1.262 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.262 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.262 * [taylor]: Taking taylor expansion of -1 in im 1.262 * [taylor]: Taking taylor expansion of im in im 1.262 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.262 * [taylor]: Taking taylor expansion of -1 in im 1.262 * [taylor]: Taking taylor expansion of im in im 1.265 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.265 * [taylor]: Taking taylor expansion of re in im 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 1.266 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.266 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.266 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 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 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 (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.269 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.269 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.270 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.270 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.270 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.270 * [taylor]: Taking taylor expansion of -1 in re 1.270 * [taylor]: Taking taylor expansion of re in re 1.270 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.270 * [taylor]: Taking taylor expansion of -1 in re 1.270 * [taylor]: Taking taylor expansion of re in re 1.270 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.270 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.270 * [taylor]: Taking taylor expansion of -1 in re 1.270 * [taylor]: Taking taylor expansion of im in re 1.270 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.270 * [taylor]: Taking taylor expansion of -1 in re 1.270 * [taylor]: Taking taylor expansion of im in re 1.273 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.273 * [taylor]: Taking taylor expansion of re in re 1.274 * [taylor]: Taking taylor expansion of 0 in im 1.275 * [taylor]: Taking taylor expansion of 0 in im 1.278 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.278 * [taylor]: Taking taylor expansion of 1/2 in im 1.278 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.278 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.278 * [taylor]: Taking taylor expansion of im in im 1.283 * [taylor]: Taking taylor expansion of 0 in im 1.285 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 1.285 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0 1.285 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im 1.285 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 1.285 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.285 * [taylor]: Taking taylor expansion of re in im 1.285 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.285 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.285 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.285 * [taylor]: Taking taylor expansion of (* re re) in im 1.286 * [taylor]: Taking taylor expansion of re in im 1.286 * [taylor]: Taking taylor expansion of re in im 1.286 * [taylor]: Taking taylor expansion of (* im im) in im 1.286 * [taylor]: Taking taylor expansion of im in im 1.286 * [taylor]: Taking taylor expansion of im in im 1.287 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.287 * [taylor]: Taking taylor expansion of 2.0 in im 1.288 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 1.288 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 1.288 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.288 * [taylor]: Taking taylor expansion of re in re 1.288 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.288 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.288 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.288 * [taylor]: Taking taylor expansion of (* re re) in re 1.288 * [taylor]: Taking taylor expansion of re in re 1.288 * [taylor]: Taking taylor expansion of re in re 1.288 * [taylor]: Taking taylor expansion of (* im im) in re 1.288 * [taylor]: Taking taylor expansion of im in re 1.288 * [taylor]: Taking taylor expansion of im in re 1.290 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.290 * [taylor]: Taking taylor expansion of 2.0 in re 1.290 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 1.290 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 1.291 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.291 * [taylor]: Taking taylor expansion of re in re 1.291 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.291 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.291 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.291 * [taylor]: Taking taylor expansion of (* re re) in re 1.291 * [taylor]: Taking taylor expansion of re in re 1.291 * [taylor]: Taking taylor expansion of re in re 1.291 * [taylor]: Taking taylor expansion of (* im im) in re 1.291 * [taylor]: Taking taylor expansion of im in re 1.291 * [taylor]: Taking taylor expansion of im in re 1.292 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.292 * [taylor]: Taking taylor expansion of 2.0 in re 1.293 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 1.293 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.293 * [taylor]: Taking taylor expansion of 2.0 in im 1.294 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.294 * [taylor]: Taking taylor expansion of im in im 1.296 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 1.296 * [taylor]: Taking taylor expansion of 1/2 in im 1.296 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 1.296 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.296 * [taylor]: Taking taylor expansion of 2.0 in im 1.297 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.297 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.297 * [taylor]: Taking taylor expansion of im in im 1.308 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 1.308 * [taylor]: Taking taylor expansion of 1/8 in im 1.308 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 1.308 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.308 * [taylor]: Taking taylor expansion of 2.0 in im 1.309 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 1.309 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 1.309 * [taylor]: Taking taylor expansion of (pow im 3) in im 1.309 * [taylor]: Taking taylor expansion of im in im 1.325 * [approximate]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 1.325 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im 1.325 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 1.325 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.325 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.325 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.325 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.325 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.325 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.325 * [taylor]: Taking taylor expansion of re in im 1.325 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.325 * [taylor]: Taking taylor expansion of re in im 1.325 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.325 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.325 * [taylor]: Taking taylor expansion of im in im 1.326 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.326 * [taylor]: Taking taylor expansion of im in im 1.328 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.329 * [taylor]: Taking taylor expansion of re in im 1.330 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.330 * [taylor]: Taking taylor expansion of 2.0 in im 1.331 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 1.331 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.331 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.331 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.331 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.331 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.331 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.331 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.331 * [taylor]: Taking taylor expansion of re in re 1.331 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.331 * [taylor]: Taking taylor expansion of re in re 1.331 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.332 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.332 * [taylor]: Taking taylor expansion of im in re 1.332 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.332 * [taylor]: Taking taylor expansion of im in re 1.334 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.334 * [taylor]: Taking taylor expansion of re in re 1.336 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.336 * [taylor]: Taking taylor expansion of 2.0 in re 1.337 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 1.337 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.337 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.337 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.337 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.337 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.337 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.337 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.337 * [taylor]: Taking taylor expansion of re in re 1.337 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.337 * [taylor]: Taking taylor expansion of re in re 1.338 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.338 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.338 * [taylor]: Taking taylor expansion of im in re 1.338 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.338 * [taylor]: Taking taylor expansion of im in re 1.346 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.347 * [taylor]: Taking taylor expansion of re in re 1.348 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.348 * [taylor]: Taking taylor expansion of 2.0 in re 1.349 * [taylor]: Taking taylor expansion of 0 in im 1.351 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.351 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.351 * [taylor]: Taking taylor expansion of +nan.0 in im 1.351 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.351 * [taylor]: Taking taylor expansion of 2.0 in im 1.357 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.357 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.357 * [taylor]: Taking taylor expansion of +nan.0 in im 1.357 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.357 * [taylor]: Taking taylor expansion of 2.0 in im 1.366 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 1.366 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 1.366 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.366 * [taylor]: Taking taylor expansion of +nan.0 in im 1.366 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.367 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.367 * [taylor]: Taking taylor expansion of 2.0 in im 1.367 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.367 * [taylor]: Taking taylor expansion of im in im 1.368 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.368 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.368 * [taylor]: Taking taylor expansion of +nan.0 in im 1.368 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.368 * [taylor]: Taking taylor expansion of 2.0 in im 1.380 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 1.380 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 1.380 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.380 * [taylor]: Taking taylor expansion of +nan.0 in im 1.380 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) 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 1.381 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.381 * [taylor]: Taking taylor expansion of im in im 1.382 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.382 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.382 * [taylor]: Taking taylor expansion of +nan.0 in im 1.382 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.382 * [taylor]: Taking taylor expansion of 2.0 in im 1.396 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 1.397 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 1.397 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.397 * [taylor]: Taking taylor expansion of 2.0 in im 1.397 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 1.397 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.397 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.398 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.398 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.398 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.398 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.398 * [taylor]: Taking taylor expansion of -1 in im 1.398 * [taylor]: Taking taylor expansion of re in im 1.398 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.398 * [taylor]: Taking taylor expansion of -1 in im 1.398 * [taylor]: Taking taylor expansion of re in im 1.398 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.398 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.398 * [taylor]: Taking taylor expansion of -1 in im 1.398 * [taylor]: Taking taylor expansion of im in im 1.398 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.398 * [taylor]: Taking taylor expansion of -1 in im 1.398 * [taylor]: Taking taylor expansion of im in im 1.401 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.401 * [taylor]: Taking taylor expansion of re in im 1.403 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 1.403 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.403 * [taylor]: Taking taylor expansion of 2.0 in re 1.403 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.403 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.403 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.404 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.404 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.404 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.404 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.404 * [taylor]: Taking taylor expansion of -1 in re 1.404 * [taylor]: Taking taylor expansion of re in re 1.404 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.404 * [taylor]: Taking taylor expansion of -1 in re 1.404 * [taylor]: Taking taylor expansion of re in re 1.404 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.404 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.404 * [taylor]: Taking taylor expansion of -1 in re 1.404 * [taylor]: Taking taylor expansion of im in re 1.404 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.404 * [taylor]: Taking taylor expansion of -1 in re 1.404 * [taylor]: Taking taylor expansion of im in re 1.407 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.407 * [taylor]: Taking taylor expansion of re in re 1.413 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 1.413 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.413 * [taylor]: Taking taylor expansion of 2.0 in re 1.414 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.414 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.414 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.414 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.414 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.414 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.414 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.414 * [taylor]: Taking taylor expansion of -1 in re 1.414 * [taylor]: Taking taylor expansion of re in re 1.414 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.414 * [taylor]: Taking taylor expansion of -1 in re 1.414 * [taylor]: Taking taylor expansion of re in re 1.414 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.414 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.414 * [taylor]: Taking taylor expansion of -1 in re 1.414 * [taylor]: Taking taylor expansion of im in re 1.415 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.415 * [taylor]: Taking taylor expansion of -1 in re 1.415 * [taylor]: Taking taylor expansion of im in re 1.417 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.417 * [taylor]: Taking taylor expansion of re in re 1.423 * [taylor]: Taking taylor expansion of 0 in im 1.424 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 1.424 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.424 * [taylor]: Taking taylor expansion of +nan.0 in im 1.424 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.424 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.424 * [taylor]: Taking taylor expansion of 2.0 in im 1.425 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.425 * [taylor]: Taking taylor expansion of im in im 1.440 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 1.440 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.440 * [taylor]: Taking taylor expansion of +nan.0 in im 1.440 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.440 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.440 * [taylor]: Taking taylor expansion of 2.0 in im 1.440 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.441 * [taylor]: Taking taylor expansion of im in im 1.458 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 1.458 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 1.458 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.458 * [taylor]: Taking taylor expansion of +nan.0 in im 1.458 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.458 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.458 * [taylor]: Taking taylor expansion of 2.0 in im 1.459 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.459 * [taylor]: Taking taylor expansion of im in im 1.460 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 1.460 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 1.460 * [taylor]: Taking taylor expansion of +nan.0 in im 1.460 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 1.460 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.460 * [taylor]: Taking taylor expansion of 2.0 in im 1.460 * [taylor]: Taking taylor expansion of (pow im 6) in im 1.460 * [taylor]: Taking taylor expansion of im in im 1.484 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2) 1.484 * [approximate]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in (re im) around 0 1.484 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 1.484 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.484 * [taylor]: Taking taylor expansion of re in im 1.484 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.485 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.485 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.485 * [taylor]: Taking taylor expansion of (* re re) in im 1.485 * [taylor]: Taking taylor expansion of re in im 1.485 * [taylor]: Taking taylor expansion of re in im 1.485 * [taylor]: Taking taylor expansion of (* im im) in im 1.485 * [taylor]: Taking taylor expansion of im in im 1.485 * [taylor]: Taking taylor expansion of im in im 1.486 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 1.486 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.486 * [taylor]: Taking taylor expansion of re in re 1.486 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.486 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.486 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.486 * [taylor]: Taking taylor expansion of (* re re) in re 1.486 * [taylor]: Taking taylor expansion of re in re 1.486 * [taylor]: Taking taylor expansion of re in re 1.486 * [taylor]: Taking taylor expansion of (* im im) in re 1.487 * [taylor]: Taking taylor expansion of im in re 1.487 * [taylor]: Taking taylor expansion of im in re 1.488 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 1.488 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.488 * [taylor]: Taking taylor expansion of re in re 1.488 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.488 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.488 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.488 * [taylor]: Taking taylor expansion of (* re re) in re 1.488 * [taylor]: Taking taylor expansion of re in re 1.488 * [taylor]: Taking taylor expansion of re in re 1.488 * [taylor]: Taking taylor expansion of (* im im) in re 1.488 * [taylor]: Taking taylor expansion of im in re 1.489 * [taylor]: Taking taylor expansion of im in re 1.490 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.490 * [taylor]: Taking taylor expansion of im in im 1.491 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 im))) in im 1.491 * [taylor]: Taking taylor expansion of 1/2 in im 1.491 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.491 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.491 * [taylor]: Taking taylor expansion of im in im 1.496 * [taylor]: Taking taylor expansion of (* 1/8 (sqrt (/ 1 (pow im 3)))) in im 1.496 * [taylor]: Taking taylor expansion of 1/8 in im 1.496 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 1.496 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 1.496 * [taylor]: Taking taylor expansion of (pow im 3) in im 1.496 * [taylor]: Taking taylor expansion of im in im 1.503 * [approximate]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in (re im) around 0 1.503 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 1.503 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.503 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.503 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.503 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.503 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.503 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.503 * [taylor]: Taking taylor expansion of re in im 1.503 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.503 * [taylor]: Taking taylor expansion of re in im 1.503 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.503 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.503 * [taylor]: Taking taylor expansion of im in im 1.504 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.504 * [taylor]: Taking taylor expansion of im in im 1.507 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.507 * [taylor]: Taking taylor expansion of re in im 1.508 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.508 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.508 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.508 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.508 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.508 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.508 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.508 * [taylor]: Taking taylor expansion of re in re 1.508 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.509 * [taylor]: Taking taylor expansion of re in re 1.509 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.509 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.509 * [taylor]: Taking taylor expansion of im in re 1.509 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.509 * [taylor]: Taking taylor expansion of im in re 1.511 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.512 * [taylor]: Taking taylor expansion of re in re 1.513 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.513 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.513 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.513 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.513 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.513 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.513 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.513 * [taylor]: Taking taylor expansion of re in re 1.514 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.514 * [taylor]: Taking taylor expansion of re in re 1.514 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.514 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.514 * [taylor]: Taking taylor expansion of im in re 1.514 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.514 * [taylor]: Taking taylor expansion of im in re 1.517 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.517 * [taylor]: Taking taylor expansion of re in re 1.518 * [taylor]: Taking taylor expansion of 0 in im 1.518 * [taylor]: Taking taylor expansion of +nan.0 in im 1.527 * [taylor]: Taking taylor expansion of +nan.0 in im 1.531 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 1.531 * [taylor]: Taking taylor expansion of +nan.0 in im 1.531 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 1.531 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.531 * [taylor]: Taking taylor expansion of 1/2 in im 1.531 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.532 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.532 * [taylor]: Taking taylor expansion of im in im 1.532 * [taylor]: Taking taylor expansion of +nan.0 in im 1.538 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 1.539 * [taylor]: Taking taylor expansion of +nan.0 in im 1.539 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 1.539 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 1.539 * [taylor]: Taking taylor expansion of +nan.0 in im 1.539 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.539 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.539 * [taylor]: Taking taylor expansion of im in im 1.539 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.539 * [taylor]: Taking taylor expansion of +nan.0 in im 1.547 * [approximate]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in (re im) around 0 1.547 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 1.547 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.547 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.547 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.547 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.547 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.547 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.547 * [taylor]: Taking taylor expansion of -1 in im 1.547 * [taylor]: Taking taylor expansion of re in im 1.547 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.547 * [taylor]: Taking taylor expansion of -1 in im 1.547 * [taylor]: Taking taylor expansion of re in im 1.547 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.547 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.547 * [taylor]: Taking taylor expansion of -1 in im 1.547 * [taylor]: Taking taylor expansion of im in im 1.547 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.547 * [taylor]: Taking taylor expansion of -1 in im 1.547 * [taylor]: Taking taylor expansion of im in im 1.550 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.550 * [taylor]: Taking taylor expansion of re in im 1.552 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.552 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.552 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.552 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.552 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.552 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.552 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.552 * [taylor]: Taking taylor expansion of -1 in re 1.552 * [taylor]: Taking taylor expansion of re in re 1.552 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.553 * [taylor]: Taking taylor expansion of -1 in re 1.553 * [taylor]: Taking taylor expansion of re in re 1.553 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.553 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.553 * [taylor]: Taking taylor expansion of -1 in re 1.553 * [taylor]: Taking taylor expansion of im in re 1.553 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.553 * [taylor]: Taking taylor expansion of -1 in re 1.553 * [taylor]: Taking taylor expansion of im in re 1.556 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.556 * [taylor]: Taking taylor expansion of re in re 1.562 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.562 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.562 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.562 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.562 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.562 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.562 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.562 * [taylor]: Taking taylor expansion of -1 in re 1.562 * [taylor]: Taking taylor expansion of re in re 1.562 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.562 * [taylor]: Taking taylor expansion of -1 in re 1.562 * [taylor]: Taking taylor expansion of re in re 1.563 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.563 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.563 * [taylor]: Taking taylor expansion of -1 in re 1.563 * [taylor]: Taking taylor expansion of im in re 1.563 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.563 * [taylor]: Taking taylor expansion of -1 in re 1.563 * [taylor]: Taking taylor expansion of im in re 1.566 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.566 * [taylor]: Taking taylor expansion of re in re 1.572 * [taylor]: Taking taylor expansion of 0 in im 1.572 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 2)) in im 1.572 * [taylor]: Taking taylor expansion of +nan.0 in im 1.572 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.572 * [taylor]: Taking taylor expansion of im in im 1.577 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 4)) in im 1.577 * [taylor]: Taking taylor expansion of +nan.0 in im 1.577 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.577 * [taylor]: Taking taylor expansion of im in im 1.588 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6)))))) in im 1.589 * [taylor]: Taking taylor expansion of +nan.0 in im 1.589 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))) in im 1.589 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow im 4))) in im 1.589 * [taylor]: Taking taylor expansion of 1/8 in im 1.589 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 1.589 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.589 * [taylor]: Taking taylor expansion of im in im 1.590 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow im 6)))) in im 1.590 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 6))) in im 1.590 * [taylor]: Taking taylor expansion of +nan.0 in im 1.590 * [taylor]: Taking taylor expansion of (/ 1 (pow im 6)) in im 1.590 * [taylor]: Taking taylor expansion of (pow im 6) in im 1.590 * [taylor]: Taking taylor expansion of im in im 1.621 * * * [progress]: simplifying candidates 1.622 * [simplify]: Simplifying using # : (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (* (exp re) (exp (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (* (* (+ re (hypot re im)) (+ re (hypot re im))) (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im)))) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (expm1 (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (log1p (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (* 2.0 (+ re (hypot re im))) (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) (* 2.0 (+ re (hypot re im))) (+ (log (sqrt 2.0)) (log (sqrt (+ re (hypot re im))))) (log (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (exp (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (* (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))) (sqrt (+ re (hypot re im))))) (* (cbrt (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (cbrt (* (sqrt 2.0) (sqrt (+ re (hypot re im)))))) (cbrt (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (* (* (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (* 2.0 (+ re (hypot re im))) (sqrt (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (sqrt (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt 2.0) (* (cbrt (sqrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im)))))) (* (sqrt 2.0) (sqrt (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))))) (* (sqrt 2.0) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt 2.0) (sqrt 1)) (* (sqrt 2.0) (sqrt 1)) (* (sqrt 2.0) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt 2.0) 1) (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) (* (sqrt (cbrt 2.0)) (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) (* (sqrt 2.0) (sqrt (+ (pow re 3) (pow (hypot re im) 3)))) (* (sqrt 2.0) (sqrt (- (* re re) (* (hypot re im) (hypot re im))))) (expm1 (sqrt (+ re (hypot re im)))) (log1p (sqrt (+ re (hypot re im)))) (log (sqrt (+ re (hypot re im)))) (exp (sqrt (+ re (hypot re im)))) (* (cbrt (sqrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im))))) (cbrt (sqrt (+ re (hypot re im)))) (* (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))) (sqrt (+ re (hypot re im)))) (sqrt (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im))))) (sqrt (cbrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))) (sqrt 1) (sqrt (+ re (hypot re im))) (sqrt 1) (sqrt (+ re (hypot re im))) (sqrt (+ (pow re 3) (pow (hypot re im) 3))) (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))) (sqrt (- (* re re) (* (hypot re im) (hypot re im)))) (sqrt (- re (hypot re im))) (/ 1 2) (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (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 (- (+ (* +nan.0 (pow re 2)) (- (+ (* +nan.0 im) (- (* +nan.0 re)))))) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) 0 1.627 * * [simplify]: iteration 0 : 288 enodes (cost 433 ) 1.633 * * [simplify]: iteration 1 : 992 enodes (cost 402 ) 1.653 * * [simplify]: iteration 2 : 4306 enodes (cost 387 ) 1.726 * * [simplify]: iteration 3 : 5001 enodes (cost 387 ) 1.729 * [simplify]: Simplified to: (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (exp (+ re (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (pow (+ re (hypot re im)) 3) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (fma (hypot re im) (- (hypot re im) re) (pow re 2)) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (expm1 (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (log1p (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (* 2.0 (+ re (hypot re im))) (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) (* 2.0 (+ re (hypot re im))) (log (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (log (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (exp (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (pow (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) 3) (* (cbrt (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (cbrt (* (sqrt 2.0) (sqrt (+ re (hypot re im)))))) (cbrt (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (pow (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) 3) (* 2.0 (+ re (hypot re im))) (sqrt (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (sqrt (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt 2.0) (* (cbrt (sqrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im)))))) (* (fabs (cbrt (+ re (hypot re im)))) (sqrt 2.0)) (* (sqrt 2.0) (sqrt (sqrt (+ re (hypot re im))))) (sqrt 2.0) (sqrt 2.0) (* (sqrt 2.0) (sqrt (sqrt (+ re (hypot re im))))) (sqrt 2.0) (* (cbrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) (* (sqrt (cbrt 2.0)) (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) (* (sqrt 2.0) (hypot (pow (hypot re im) 3/2) (pow re 3/2))) (* (sqrt 2.0) (sqrt (- (* re re) (* (hypot re im) (hypot re im))))) (expm1 (sqrt (+ re (hypot re im)))) (log1p (sqrt (+ re (hypot re im)))) (log (sqrt (+ re (hypot re im)))) (exp (sqrt (+ re (hypot re im)))) (* (cbrt (sqrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im))))) (cbrt (sqrt (+ re (hypot re im)))) (pow (sqrt (+ re (hypot re im))) 3) (fabs (cbrt (+ re (hypot re im)))) (sqrt (cbrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))) 1 (sqrt (+ re (hypot re im))) 1 (sqrt (+ re (hypot re im))) (hypot (pow (hypot re im) 3/2) (pow re 3/2)) (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))) (sqrt (- (* re re) (* (hypot re im) (hypot re im)))) (sqrt (- re (hypot re im))) 1/2 (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))) (+ re im) (* 2 re) 0 (* (* +nan.0 (sqrt 2.0)) (+ (- (pow re 2)) (- im re))) (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) 0 (fma (- (pow re 2)) +nan.0 (* +nan.0 (- im re))) (- (- (/ +nan.0 re) +nan.0) (/ +nan.0 (pow re 2))) 0 1.729 * * * [progress]: adding candidates to table 1.925 * * [progress]: iteration 4 / 4 1.925 * * * [progress]: picking best candidate 1.935 * * * * [pick]: Picked # 1.935 * * * [progress]: localizing error 1.946 * * * [progress]: generating rewritten candidates 1.946 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2 1) 1.949 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 1.959 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.976 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2) 1.982 * * * [progress]: generating series expansions 1.982 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2 1) 1.983 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 1.983 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.983 * [taylor]: Taking taylor expansion of re in im 1.983 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.983 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.983 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.983 * [taylor]: Taking taylor expansion of (* re re) in im 1.983 * [taylor]: Taking taylor expansion of re in im 1.983 * [taylor]: Taking taylor expansion of re in im 1.983 * [taylor]: Taking taylor expansion of (* im im) in im 1.983 * [taylor]: Taking taylor expansion of im in im 1.983 * [taylor]: Taking taylor expansion of im in im 1.984 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.984 * [taylor]: Taking taylor expansion of re in re 1.985 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.985 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.985 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.985 * [taylor]: Taking taylor expansion of (* re re) in re 1.985 * [taylor]: Taking taylor expansion of re in re 1.985 * [taylor]: Taking taylor expansion of re in re 1.985 * [taylor]: Taking taylor expansion of (* im im) in re 1.985 * [taylor]: Taking taylor expansion of im in re 1.985 * [taylor]: Taking taylor expansion of im in re 1.986 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.986 * [taylor]: Taking taylor expansion of re in re 1.986 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.986 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.986 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.986 * [taylor]: Taking taylor expansion of (* re re) in re 1.986 * [taylor]: Taking taylor expansion of re in re 1.986 * [taylor]: Taking taylor expansion of re in re 1.986 * [taylor]: Taking taylor expansion of (* im im) in re 1.986 * [taylor]: Taking taylor expansion of im in re 1.986 * [taylor]: Taking taylor expansion of im in re 1.988 * [taylor]: Taking taylor expansion of im in im 1.988 * [taylor]: Taking taylor expansion of 1 in im 1.990 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.990 * [taylor]: Taking taylor expansion of 1/2 in im 1.990 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.990 * [taylor]: Taking taylor expansion of im in im 1.992 * [taylor]: Taking taylor expansion of 0 in im 1.994 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 1.994 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.994 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.994 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.994 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.994 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.994 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.994 * [taylor]: Taking taylor expansion of re in im 1.994 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.994 * [taylor]: Taking taylor expansion of re in im 1.994 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.994 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.994 * [taylor]: Taking taylor expansion of im in im 1.994 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.994 * [taylor]: Taking taylor expansion of im in im 1.997 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.997 * [taylor]: Taking taylor expansion of re in im 1.997 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.997 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.997 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.997 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.997 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.997 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.998 * [taylor]: Taking taylor expansion of re in re 1.998 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.998 * [taylor]: Taking taylor expansion of re in re 1.998 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.998 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.998 * [taylor]: Taking taylor expansion of im in re 1.998 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.998 * [taylor]: Taking taylor expansion of im in re 2.001 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.001 * [taylor]: Taking taylor expansion of re in re 2.001 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.001 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.001 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.001 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.001 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.001 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.001 * [taylor]: Taking taylor expansion of re in re 2.002 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.002 * [taylor]: Taking taylor expansion of re in re 2.002 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.002 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.002 * [taylor]: Taking taylor expansion of im in re 2.002 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.002 * [taylor]: Taking taylor expansion of im in re 2.005 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.005 * [taylor]: Taking taylor expansion of re in re 2.006 * [taylor]: Taking taylor expansion of 2 in im 2.007 * [taylor]: Taking taylor expansion of 0 in im 2.010 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.010 * [taylor]: Taking taylor expansion of 1/2 in im 2.010 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.010 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.010 * [taylor]: Taking taylor expansion of im in im 2.015 * [taylor]: Taking taylor expansion of 0 in im 2.017 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 2.017 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 2.017 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.017 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.017 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.017 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.017 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.017 * [taylor]: Taking taylor expansion of -1 in im 2.017 * [taylor]: Taking taylor expansion of re in im 2.017 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.017 * [taylor]: Taking taylor expansion of -1 in im 2.017 * [taylor]: Taking taylor expansion of re in im 2.017 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.017 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.017 * [taylor]: Taking taylor expansion of -1 in im 2.017 * [taylor]: Taking taylor expansion of im in im 2.018 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.018 * [taylor]: Taking taylor expansion of -1 in im 2.018 * [taylor]: Taking taylor expansion of im in im 2.021 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.021 * [taylor]: Taking taylor expansion of re in im 2.021 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.021 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.021 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.021 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.021 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.021 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.021 * [taylor]: Taking taylor expansion of -1 in re 2.021 * [taylor]: Taking taylor expansion of re in re 2.021 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.021 * [taylor]: Taking taylor expansion of -1 in re 2.021 * [taylor]: Taking taylor expansion of re in re 2.022 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.022 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.022 * [taylor]: Taking taylor expansion of -1 in re 2.022 * [taylor]: Taking taylor expansion of im in re 2.022 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.022 * [taylor]: Taking taylor expansion of -1 in re 2.022 * [taylor]: Taking taylor expansion of im in re 2.024 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.025 * [taylor]: Taking taylor expansion of re in re 2.025 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.025 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.025 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.025 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.025 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.025 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.025 * [taylor]: Taking taylor expansion of -1 in re 2.025 * [taylor]: Taking taylor expansion of re in re 2.025 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.025 * [taylor]: Taking taylor expansion of -1 in re 2.025 * [taylor]: Taking taylor expansion of re in re 2.026 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.026 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.026 * [taylor]: Taking taylor expansion of -1 in re 2.026 * [taylor]: Taking taylor expansion of im in re 2.026 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.026 * [taylor]: Taking taylor expansion of -1 in re 2.026 * [taylor]: Taking taylor expansion of im in re 2.028 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.029 * [taylor]: Taking taylor expansion of re in re 2.029 * [taylor]: Taking taylor expansion of 0 in im 2.030 * [taylor]: Taking taylor expansion of 0 in im 2.034 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.034 * [taylor]: Taking taylor expansion of 1/2 in im 2.034 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.034 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.034 * [taylor]: Taking taylor expansion of im in im 2.039 * [taylor]: Taking taylor expansion of 0 in im 2.041 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 2.042 * [approximate]: Taking taylor expansion of (sqrt (* (+ re (hypot re im)) (sqrt 2.0))) in (re im) around 0 2.042 * [taylor]: Taking taylor expansion of (sqrt (* (+ re (hypot re im)) (sqrt 2.0))) in im 2.042 * [taylor]: Taking taylor expansion of (* (+ re (hypot re im)) (sqrt 2.0)) in im 2.042 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 2.042 * [taylor]: Taking taylor expansion of re in im 2.042 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.042 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.042 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.042 * [taylor]: Taking taylor expansion of (* re re) in im 2.042 * [taylor]: Taking taylor expansion of re in im 2.042 * [taylor]: Taking taylor expansion of re in im 2.042 * [taylor]: Taking taylor expansion of (* im im) in im 2.042 * [taylor]: Taking taylor expansion of im in im 2.042 * [taylor]: Taking taylor expansion of im in im 2.043 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.043 * [taylor]: Taking taylor expansion of 2.0 in im 2.045 * [taylor]: Taking taylor expansion of (sqrt (* (+ re (hypot re im)) (sqrt 2.0))) in re 2.045 * [taylor]: Taking taylor expansion of (* (+ re (hypot re im)) (sqrt 2.0)) in re 2.045 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.045 * [taylor]: Taking taylor expansion of re in re 2.045 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.046 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.046 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.046 * [taylor]: Taking taylor expansion of (* re re) in re 2.046 * [taylor]: Taking taylor expansion of re in re 2.046 * [taylor]: Taking taylor expansion of re in re 2.046 * [taylor]: Taking taylor expansion of (* im im) in re 2.046 * [taylor]: Taking taylor expansion of im in re 2.046 * [taylor]: Taking taylor expansion of im in re 2.047 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.047 * [taylor]: Taking taylor expansion of 2.0 in re 2.050 * [taylor]: Taking taylor expansion of (sqrt (* (+ re (hypot re im)) (sqrt 2.0))) in re 2.050 * [taylor]: Taking taylor expansion of (* (+ re (hypot re im)) (sqrt 2.0)) in re 2.050 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.050 * [taylor]: Taking taylor expansion of re in re 2.050 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.050 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.050 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.050 * [taylor]: Taking taylor expansion of (* re re) in re 2.050 * [taylor]: Taking taylor expansion of re in re 2.050 * [taylor]: Taking taylor expansion of re in re 2.050 * [taylor]: Taking taylor expansion of (* im im) in re 2.050 * [taylor]: Taking taylor expansion of im in re 2.050 * [taylor]: Taking taylor expansion of im in re 2.051 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.051 * [taylor]: Taking taylor expansion of 2.0 in re 2.060 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) im)) in im 2.060 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 2.060 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.060 * [taylor]: Taking taylor expansion of 2.0 in im 2.061 * [taylor]: Taking taylor expansion of im in im 2.064 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ (sqrt 2.0) im))) in im 2.064 * [taylor]: Taking taylor expansion of 1/2 in im 2.064 * [taylor]: Taking taylor expansion of (sqrt (/ (sqrt 2.0) im)) in im 2.064 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.064 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.064 * [taylor]: Taking taylor expansion of 2.0 in im 2.065 * [taylor]: Taking taylor expansion of im in im 2.075 * [taylor]: Taking taylor expansion of (* 1/8 (sqrt (/ (sqrt 2.0) (pow im 3)))) in im 2.075 * [taylor]: Taking taylor expansion of 1/8 in im 2.075 * [taylor]: Taking taylor expansion of (sqrt (/ (sqrt 2.0) (pow im 3))) in im 2.075 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 3)) in im 2.075 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.075 * [taylor]: Taking taylor expansion of 2.0 in im 2.076 * [taylor]: Taking taylor expansion of (pow im 3) in im 2.076 * [taylor]: Taking taylor expansion of im in im 2.091 * [approximate]: Taking taylor expansion of (sqrt (* (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (sqrt 2.0))) in (re im) around 0 2.091 * [taylor]: Taking taylor expansion of (sqrt (* (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (sqrt 2.0))) in im 2.092 * [taylor]: Taking taylor expansion of (* (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (sqrt 2.0)) in im 2.092 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 2.092 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.092 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.092 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.092 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.092 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.092 * [taylor]: Taking taylor expansion of re in im 2.092 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.092 * [taylor]: Taking taylor expansion of re in im 2.092 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.092 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.092 * [taylor]: Taking taylor expansion of im in im 2.092 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.092 * [taylor]: Taking taylor expansion of im in im 2.095 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.095 * [taylor]: Taking taylor expansion of re in im 2.095 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.095 * [taylor]: Taking taylor expansion of 2.0 in im 2.098 * [taylor]: Taking taylor expansion of (sqrt (* (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (sqrt 2.0))) in re 2.099 * [taylor]: Taking taylor expansion of (* (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (sqrt 2.0)) in re 2.099 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.099 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.099 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.099 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.099 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.099 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.099 * [taylor]: Taking taylor expansion of re in re 2.099 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.099 * [taylor]: Taking taylor expansion of re in re 2.099 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.099 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.099 * [taylor]: Taking taylor expansion of im in re 2.099 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.099 * [taylor]: Taking taylor expansion of im in re 2.102 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.102 * [taylor]: Taking taylor expansion of re in re 2.102 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.102 * [taylor]: Taking taylor expansion of 2.0 in re 2.106 * [taylor]: Taking taylor expansion of (sqrt (* (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (sqrt 2.0))) in re 2.106 * [taylor]: Taking taylor expansion of (* (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (sqrt 2.0)) in re 2.106 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.106 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.106 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.106 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.106 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.106 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.106 * [taylor]: Taking taylor expansion of re in re 2.106 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.106 * [taylor]: Taking taylor expansion of re in re 2.106 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.106 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.106 * [taylor]: Taking taylor expansion of im in re 2.106 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.106 * [taylor]: Taking taylor expansion of im in re 2.109 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.109 * [taylor]: Taking taylor expansion of re in re 2.109 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.109 * [taylor]: Taking taylor expansion of 2.0 in re 2.113 * [taylor]: Taking taylor expansion of 0 in im 2.113 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.113 * [taylor]: Taking taylor expansion of +nan.0 in im 2.113 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.113 * [taylor]: Taking taylor expansion of 2.0 in im 2.118 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 2)) in im 2.118 * [taylor]: Taking taylor expansion of +nan.0 in im 2.118 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 2.118 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.118 * [taylor]: Taking taylor expansion of 2.0 in im 2.129 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ (sqrt 2.0) (pow im 2))) (* +nan.0 (pow (sqrt 2.0) 3)))) in im 2.129 * [taylor]: Taking taylor expansion of +nan.0 in im 2.129 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (sqrt 2.0) (pow im 2))) (* +nan.0 (pow (sqrt 2.0) 3))) in im 2.129 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 2.0) (pow im 2))) in im 2.129 * [taylor]: Taking taylor expansion of 1/2 in im 2.129 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 2.129 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.129 * [taylor]: Taking taylor expansion of 2.0 in im 2.130 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.130 * [taylor]: Taking taylor expansion of im in im 2.130 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 3)) in im 2.131 * [taylor]: Taking taylor expansion of +nan.0 in im 2.131 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 3) in im 2.131 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.131 * [taylor]: Taking taylor expansion of 2.0 in im 2.154 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 2))) (- (* +nan.0 (pow (sqrt 2.0) 4))))) in im 2.155 * [taylor]: Taking taylor expansion of +nan.0 in im 2.155 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 2))) (- (* +nan.0 (pow (sqrt 2.0) 4)))) in im 2.155 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 2))) in im 2.155 * [taylor]: Taking taylor expansion of +nan.0 in im 2.155 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (pow im 2)) in im 2.155 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 2.155 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.155 * [taylor]: Taking taylor expansion of 2.0 in im 2.155 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.155 * [taylor]: Taking taylor expansion of im in im 2.158 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (sqrt 2.0) 4))) in im 2.158 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 4)) in im 2.158 * [taylor]: Taking taylor expansion of +nan.0 in im 2.158 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 4) in im 2.158 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.158 * [taylor]: Taking taylor expansion of 2.0 in im 2.184 * [approximate]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 2.184 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 2.184 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 2.184 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.184 * [taylor]: Taking taylor expansion of 2.0 in im 2.185 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 2.185 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.185 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.185 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.185 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.185 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.185 * [taylor]: Taking taylor expansion of -1 in im 2.185 * [taylor]: Taking taylor expansion of re in im 2.185 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.185 * [taylor]: Taking taylor expansion of -1 in im 2.185 * [taylor]: Taking taylor expansion of re in im 2.185 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.185 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.185 * [taylor]: Taking taylor expansion of -1 in im 2.185 * [taylor]: Taking taylor expansion of im in im 2.186 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.186 * [taylor]: Taking taylor expansion of -1 in im 2.186 * [taylor]: Taking taylor expansion of im in im 2.189 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.189 * [taylor]: Taking taylor expansion of re in im 2.191 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 2.191 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 2.191 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.191 * [taylor]: Taking taylor expansion of 2.0 in re 2.192 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.192 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.192 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.192 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.192 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.192 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.192 * [taylor]: Taking taylor expansion of -1 in re 2.192 * [taylor]: Taking taylor expansion of 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 im) (/ -1 im)) in re 2.193 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.193 * [taylor]: Taking taylor expansion of -1 in re 2.193 * [taylor]: Taking taylor expansion of im in re 2.193 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.193 * [taylor]: Taking taylor expansion of -1 in re 2.193 * [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 2.204 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 2.204 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 2.204 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.204 * [taylor]: Taking taylor expansion of 2.0 in re 2.205 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.205 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.205 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.205 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.205 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.205 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.205 * [taylor]: Taking taylor expansion of -1 in re 2.205 * [taylor]: Taking taylor expansion of re in re 2.205 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.205 * [taylor]: Taking taylor expansion of -1 in re 2.205 * [taylor]: Taking taylor expansion of re in re 2.206 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.206 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.206 * [taylor]: Taking taylor expansion of -1 in re 2.206 * [taylor]: Taking taylor expansion of im in re 2.206 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.206 * [taylor]: Taking taylor expansion of -1 in re 2.206 * [taylor]: Taking taylor expansion of im in re 2.208 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.208 * [taylor]: Taking taylor expansion of re in re 2.217 * [taylor]: Taking taylor expansion of 0 in im 2.217 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 2.217 * [taylor]: Taking taylor expansion of +nan.0 in im 2.217 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 2.217 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.217 * [taylor]: Taking taylor expansion of 2.0 in im 2.218 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.218 * [taylor]: Taking taylor expansion of im in im 2.226 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 4))) in im 2.226 * [taylor]: Taking taylor expansion of +nan.0 in im 2.226 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (pow im 4)) in im 2.226 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 2.226 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.226 * [taylor]: Taking taylor expansion of 2.0 in im 2.227 * [taylor]: Taking taylor expansion of (pow im 4) in im 2.227 * [taylor]: Taking taylor expansion of im in im 2.256 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* 1/8 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 6)))))) in im 2.256 * [taylor]: Taking taylor expansion of +nan.0 in im 2.256 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 6))))) in im 2.256 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 2.0) (pow im 4))) in im 2.256 * [taylor]: Taking taylor expansion of 1/8 in im 2.256 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 2.256 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.256 * [taylor]: Taking taylor expansion of 2.0 in im 2.257 * [taylor]: Taking taylor expansion of (pow im 4) in im 2.257 * [taylor]: Taking taylor expansion of im in im 2.258 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 6)))) in im 2.258 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 6))) in im 2.258 * [taylor]: Taking taylor expansion of +nan.0 in im 2.258 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 3) (pow im 6)) in im 2.258 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 3) in im 2.258 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.258 * [taylor]: Taking taylor expansion of 2.0 in im 2.259 * [taylor]: Taking taylor expansion of (pow im 6) in im 2.259 * [taylor]: Taking taylor expansion of im in im 2.306 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 2.307 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0 2.307 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im 2.307 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 2.307 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 2.307 * [taylor]: Taking taylor expansion of re in im 2.307 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.308 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.308 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.308 * [taylor]: Taking taylor expansion of (* re re) in im 2.308 * [taylor]: Taking taylor expansion of re in im 2.308 * [taylor]: Taking taylor expansion of re in im 2.308 * [taylor]: Taking taylor expansion of (* im im) in im 2.308 * [taylor]: Taking taylor expansion of im in im 2.308 * [taylor]: Taking taylor expansion of im in im 2.309 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.309 * [taylor]: Taking taylor expansion of 2.0 in im 2.310 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 2.310 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 2.310 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.310 * [taylor]: Taking taylor expansion of re in re 2.310 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.310 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.310 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.310 * [taylor]: Taking taylor expansion of (* re re) in re 2.310 * [taylor]: Taking taylor expansion of re in re 2.310 * [taylor]: Taking taylor expansion of re in re 2.310 * [taylor]: Taking taylor expansion of (* im im) in re 2.310 * [taylor]: Taking taylor expansion of im in re 2.310 * [taylor]: Taking taylor expansion of im in re 2.312 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.312 * [taylor]: Taking taylor expansion of 2.0 in re 2.313 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 2.313 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 2.313 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.313 * [taylor]: Taking taylor expansion of re in re 2.313 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.313 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.313 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.313 * [taylor]: Taking taylor expansion of (* re re) in re 2.313 * [taylor]: Taking taylor expansion of re in re 2.313 * [taylor]: Taking taylor expansion of re in re 2.313 * [taylor]: Taking taylor expansion of (* im im) in re 2.313 * [taylor]: Taking taylor expansion of im in re 2.313 * [taylor]: Taking taylor expansion of im in re 2.314 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.314 * [taylor]: Taking taylor expansion of 2.0 in re 2.315 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 2.315 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.315 * [taylor]: Taking taylor expansion of 2.0 in im 2.316 * [taylor]: Taking taylor expansion of (sqrt im) in im 2.316 * [taylor]: Taking taylor expansion of im in im 2.318 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 2.318 * [taylor]: Taking taylor expansion of 1/2 in im 2.318 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 2.318 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.318 * [taylor]: Taking taylor expansion of 2.0 in im 2.319 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 2.319 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.319 * [taylor]: Taking taylor expansion of im in im 2.339 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 2.339 * [taylor]: Taking taylor expansion of 1/8 in im 2.339 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 2.339 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.339 * [taylor]: Taking taylor expansion of 2.0 in im 2.340 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 2.340 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 2.340 * [taylor]: Taking taylor expansion of (pow im 3) in im 2.340 * [taylor]: Taking taylor expansion of im in im 2.357 * [approximate]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 2.357 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im 2.357 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 2.357 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 2.357 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.358 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.358 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.358 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.358 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.358 * [taylor]: Taking taylor expansion of re in im 2.358 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.358 * [taylor]: Taking taylor expansion of re in im 2.358 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.358 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.358 * [taylor]: Taking taylor expansion of im in im 2.358 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.358 * [taylor]: Taking taylor expansion of im in im 2.361 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.361 * [taylor]: Taking taylor expansion of re in im 2.363 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.363 * [taylor]: Taking taylor expansion of 2.0 in im 2.363 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 2.363 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 2.363 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.363 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.363 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.364 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.364 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.364 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.364 * [taylor]: Taking taylor expansion of re in re 2.364 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.364 * [taylor]: Taking taylor expansion of re in re 2.364 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.364 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.364 * [taylor]: Taking taylor expansion of im in re 2.364 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.364 * [taylor]: Taking taylor expansion of im in re 2.367 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.367 * [taylor]: Taking taylor expansion of re in re 2.368 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.368 * [taylor]: Taking taylor expansion of 2.0 in re 2.369 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 2.369 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 2.369 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.369 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.369 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.369 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.369 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.369 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.369 * [taylor]: Taking taylor expansion of re in re 2.370 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.370 * [taylor]: Taking taylor expansion of re in re 2.370 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.370 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.370 * [taylor]: Taking taylor expansion of im in re 2.370 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.370 * [taylor]: Taking taylor expansion of im in re 2.373 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.373 * [taylor]: Taking taylor expansion of re in re 2.374 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.375 * [taylor]: Taking taylor expansion of 2.0 in re 2.376 * [taylor]: Taking taylor expansion of 0 in im 2.377 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 2.377 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.377 * [taylor]: Taking taylor expansion of +nan.0 in im 2.377 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.377 * [taylor]: Taking taylor expansion of 2.0 in im 2.383 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 2.384 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.384 * [taylor]: Taking taylor expansion of +nan.0 in im 2.384 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.384 * [taylor]: Taking taylor expansion of 2.0 in im 2.394 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 2.394 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 2.394 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 2.394 * [taylor]: Taking taylor expansion of +nan.0 in im 2.394 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 2.394 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.394 * [taylor]: Taking taylor expansion of 2.0 in im 2.395 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.395 * [taylor]: Taking taylor expansion of im in im 2.396 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 2.396 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.396 * [taylor]: Taking taylor expansion of +nan.0 in im 2.396 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.396 * [taylor]: Taking taylor expansion of 2.0 in im 2.409 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 2.409 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 2.409 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 2.409 * [taylor]: Taking taylor expansion of +nan.0 in im 2.409 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 2.409 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.409 * [taylor]: Taking taylor expansion of 2.0 in im 2.409 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.410 * [taylor]: Taking taylor expansion of im in im 2.410 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 2.410 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.410 * [taylor]: Taking taylor expansion of +nan.0 in im 2.410 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.410 * [taylor]: Taking taylor expansion of 2.0 in im 2.432 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 2.432 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 2.432 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.432 * [taylor]: Taking taylor expansion of 2.0 in im 2.433 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 2.433 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 2.433 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.433 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.433 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.433 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.433 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.433 * [taylor]: Taking taylor expansion of -1 in im 2.433 * [taylor]: Taking taylor expansion of re in im 2.433 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.433 * [taylor]: Taking taylor expansion of -1 in im 2.433 * [taylor]: Taking taylor expansion of re in im 2.433 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.433 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.433 * [taylor]: Taking taylor expansion of -1 in im 2.433 * [taylor]: Taking taylor expansion of im in im 2.434 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.434 * [taylor]: Taking taylor expansion of -1 in im 2.434 * [taylor]: Taking taylor expansion of im in im 2.437 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.437 * [taylor]: Taking taylor expansion of re in im 2.438 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 2.438 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.438 * [taylor]: Taking taylor expansion of 2.0 in re 2.439 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 2.439 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.439 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.439 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.439 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.439 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.439 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.439 * [taylor]: Taking taylor expansion of -1 in re 2.439 * [taylor]: Taking taylor expansion of re in re 2.440 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.440 * [taylor]: Taking taylor expansion of -1 in re 2.440 * [taylor]: Taking taylor expansion of re in re 2.440 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.440 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.440 * [taylor]: Taking taylor expansion of -1 in re 2.440 * [taylor]: Taking taylor expansion of im in re 2.440 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.440 * [taylor]: Taking taylor expansion of -1 in re 2.440 * [taylor]: Taking taylor expansion of im in re 2.443 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.443 * [taylor]: Taking taylor expansion of re in re 2.449 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 2.449 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.449 * [taylor]: Taking taylor expansion of 2.0 in re 2.450 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 2.450 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.450 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.450 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.450 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.450 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.450 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.450 * [taylor]: Taking taylor expansion of -1 in re 2.450 * [taylor]: Taking taylor expansion of re in re 2.451 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.451 * [taylor]: Taking taylor expansion of -1 in re 2.451 * [taylor]: Taking taylor expansion of re in re 2.451 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.451 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.451 * [taylor]: Taking taylor expansion of -1 in re 2.451 * [taylor]: Taking taylor expansion of im in re 2.451 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.451 * [taylor]: Taking taylor expansion of -1 in re 2.451 * [taylor]: Taking taylor expansion of im in re 2.454 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.454 * [taylor]: Taking taylor expansion of re in re 2.460 * [taylor]: Taking taylor expansion of 0 in im 2.461 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 2.461 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 2.461 * [taylor]: Taking taylor expansion of +nan.0 in im 2.461 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 2.461 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.461 * [taylor]: Taking taylor expansion of 2.0 in im 2.462 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.462 * [taylor]: Taking taylor expansion of im in im 2.470 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 2.470 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 2.470 * [taylor]: Taking taylor expansion of +nan.0 in im 2.470 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 2.470 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.470 * [taylor]: Taking taylor expansion of 2.0 in im 2.471 * [taylor]: Taking taylor expansion of (pow im 4) in im 2.471 * [taylor]: Taking taylor expansion of im in im 2.488 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 2.488 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 2.488 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 2.488 * [taylor]: Taking taylor expansion of +nan.0 in im 2.488 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 2.488 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.488 * [taylor]: Taking taylor expansion of 2.0 in im 2.489 * [taylor]: Taking taylor expansion of (pow im 4) in im 2.489 * [taylor]: Taking taylor expansion of im in im 2.490 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 2.490 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 2.490 * [taylor]: Taking taylor expansion of +nan.0 in im 2.490 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 2.490 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.490 * [taylor]: Taking taylor expansion of 2.0 in im 2.491 * [taylor]: Taking taylor expansion of (pow im 6) in im 2.491 * [taylor]: Taking taylor expansion of im in im 2.522 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2) 2.522 * [approximate]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in (re im) around 0 2.522 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 2.522 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 2.522 * [taylor]: Taking taylor expansion of re in im 2.522 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.522 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.522 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.522 * [taylor]: Taking taylor expansion of (* re re) in im 2.522 * [taylor]: Taking taylor expansion of re in im 2.522 * [taylor]: Taking taylor expansion of re in im 2.522 * [taylor]: Taking taylor expansion of (* im im) in im 2.522 * [taylor]: Taking taylor expansion of im in im 2.522 * [taylor]: Taking taylor expansion of im in im 2.524 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 2.524 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.524 * [taylor]: Taking taylor expansion of re in re 2.524 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.524 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.524 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.524 * [taylor]: Taking taylor expansion of (* re re) in re 2.524 * [taylor]: Taking taylor expansion of re in re 2.524 * [taylor]: Taking taylor expansion of re in re 2.524 * [taylor]: Taking taylor expansion of (* im im) in re 2.524 * [taylor]: Taking taylor expansion of im in re 2.524 * [taylor]: Taking taylor expansion of im in re 2.526 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 2.526 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.526 * [taylor]: Taking taylor expansion of re in re 2.526 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.526 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.526 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.526 * [taylor]: Taking taylor expansion of (* re re) in re 2.526 * [taylor]: Taking taylor expansion of re in re 2.526 * [taylor]: Taking taylor expansion of re in re 2.526 * [taylor]: Taking taylor expansion of (* im im) in re 2.526 * [taylor]: Taking taylor expansion of im in re 2.526 * [taylor]: Taking taylor expansion of im in re 2.527 * [taylor]: Taking taylor expansion of (sqrt im) in im 2.527 * [taylor]: Taking taylor expansion of im in im 2.529 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 im))) in im 2.529 * [taylor]: Taking taylor expansion of 1/2 in im 2.529 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 2.529 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.529 * [taylor]: Taking taylor expansion of im in im 2.533 * [taylor]: Taking taylor expansion of (* 1/8 (sqrt (/ 1 (pow im 3)))) in im 2.534 * [taylor]: Taking taylor expansion of 1/8 in im 2.534 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 2.534 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 2.534 * [taylor]: Taking taylor expansion of (pow im 3) in im 2.534 * [taylor]: Taking taylor expansion of im in im 2.541 * [approximate]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in (re im) around 0 2.541 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 2.541 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 2.541 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.541 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.541 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.541 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.541 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.541 * [taylor]: Taking taylor expansion of re in im 2.541 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.541 * [taylor]: Taking taylor expansion of re in im 2.541 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.541 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.541 * [taylor]: Taking taylor expansion of im in im 2.541 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.541 * [taylor]: Taking taylor expansion of im in im 2.544 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.544 * [taylor]: Taking taylor expansion of re in im 2.546 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 2.546 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.546 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.546 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.546 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.546 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.546 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.546 * [taylor]: Taking taylor expansion of re in re 2.546 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.546 * [taylor]: Taking taylor expansion of re in re 2.547 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.547 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.547 * [taylor]: Taking taylor expansion of im in re 2.547 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.547 * [taylor]: Taking taylor expansion of im in re 2.549 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.549 * [taylor]: Taking taylor expansion of re in re 2.551 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 2.551 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.551 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.551 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.551 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.551 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.551 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.551 * [taylor]: Taking taylor expansion of re in re 2.552 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.552 * [taylor]: Taking taylor expansion of re in re 2.552 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.552 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.552 * [taylor]: Taking taylor expansion of im in re 2.552 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.552 * [taylor]: Taking taylor expansion of im in re 2.555 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.555 * [taylor]: Taking taylor expansion of re in re 2.556 * [taylor]: Taking taylor expansion of 0 in im 2.556 * [taylor]: Taking taylor expansion of +nan.0 in im 2.559 * [taylor]: Taking taylor expansion of +nan.0 in im 2.563 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 2.563 * [taylor]: Taking taylor expansion of +nan.0 in im 2.563 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 2.563 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.563 * [taylor]: Taking taylor expansion of 1/2 in im 2.563 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.563 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.563 * [taylor]: Taking taylor expansion of im in im 2.564 * [taylor]: Taking taylor expansion of +nan.0 in im 2.571 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 2.571 * [taylor]: Taking taylor expansion of +nan.0 in im 2.571 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 2.571 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 2.571 * [taylor]: Taking taylor expansion of +nan.0 in im 2.571 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.571 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.571 * [taylor]: Taking taylor expansion of im in im 2.571 * [taylor]: Taking taylor expansion of (- +nan.0) in im 2.571 * [taylor]: Taking taylor expansion of +nan.0 in im 2.579 * [approximate]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in (re im) around 0 2.579 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 2.579 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 2.579 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.579 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.579 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.579 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.579 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.579 * [taylor]: Taking taylor expansion of -1 in im 2.579 * [taylor]: Taking taylor expansion of re in im 2.579 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.579 * [taylor]: Taking taylor expansion of -1 in im 2.579 * [taylor]: Taking taylor expansion of re in im 2.579 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.579 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.579 * [taylor]: Taking taylor expansion of -1 in im 2.579 * [taylor]: Taking taylor expansion of im in im 2.579 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.579 * [taylor]: Taking taylor expansion of -1 in im 2.579 * [taylor]: Taking taylor expansion of im in im 2.582 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.582 * [taylor]: Taking taylor expansion of re in im 2.584 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 2.584 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.584 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.584 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.584 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.584 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.584 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.584 * [taylor]: Taking taylor expansion of -1 in re 2.584 * [taylor]: Taking taylor expansion of re in re 2.584 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.584 * [taylor]: Taking taylor expansion of -1 in re 2.584 * [taylor]: Taking taylor expansion of re in re 2.585 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.585 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.585 * [taylor]: Taking taylor expansion of -1 in re 2.585 * [taylor]: Taking taylor expansion of im in re 2.585 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.585 * [taylor]: Taking taylor expansion of -1 in re 2.585 * [taylor]: Taking taylor expansion of im in re 2.587 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.588 * [taylor]: Taking taylor expansion of re in re 2.593 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 2.593 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.593 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.593 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.593 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.593 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.593 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.593 * [taylor]: Taking taylor expansion of -1 in re 2.593 * [taylor]: Taking taylor expansion of re in re 2.594 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.594 * [taylor]: Taking taylor expansion of -1 in re 2.594 * [taylor]: Taking taylor expansion of re in re 2.594 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.594 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.594 * [taylor]: Taking taylor expansion of -1 in re 2.594 * [taylor]: Taking taylor expansion of im in re 2.594 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.594 * [taylor]: Taking taylor expansion of -1 in re 2.594 * [taylor]: Taking taylor expansion of im in re 2.597 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.597 * [taylor]: Taking taylor expansion of re in re 2.603 * [taylor]: Taking taylor expansion of 0 in im 2.603 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 2)) in im 2.603 * [taylor]: Taking taylor expansion of +nan.0 in im 2.603 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.603 * [taylor]: Taking taylor expansion of im in im 2.803 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 4)) in im 2.803 * [taylor]: Taking taylor expansion of +nan.0 in im 2.803 * [taylor]: Taking taylor expansion of (pow im 4) in im 2.803 * [taylor]: Taking taylor expansion of im in im 2.814 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6)))))) in im 2.814 * [taylor]: Taking taylor expansion of +nan.0 in im 2.814 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))) in im 2.815 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow im 4))) in im 2.815 * [taylor]: Taking taylor expansion of 1/8 in im 2.815 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 2.815 * [taylor]: Taking taylor expansion of (pow im 4) in im 2.815 * [taylor]: Taking taylor expansion of im in im 2.815 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow im 6)))) in im 2.815 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 6))) in im 2.815 * [taylor]: Taking taylor expansion of +nan.0 in im 2.815 * [taylor]: Taking taylor expansion of (/ 1 (pow im 6)) in im 2.815 * [taylor]: Taking taylor expansion of (pow im 6) in im 2.815 * [taylor]: Taking taylor expansion of im in im 2.840 * * * [progress]: simplifying candidates 2.842 * [simplify]: Simplifying using # : (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (* (exp re) (exp (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (* (* (+ re (hypot re im)) (+ re (hypot re im))) (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im)))) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (expm1 (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (log1p (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (sqrt 2.0) (+ re (hypot re im))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) (* (sqrt 2.0) (+ re (hypot re im))) (+ (log (sqrt (sqrt 2.0))) (log (sqrt (+ re (hypot re im))))) (log (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (exp (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))) (sqrt (+ re (hypot re im))))) (* (cbrt (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (cbrt (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))) (cbrt (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (* (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (sqrt 2.0) (+ re (hypot re im))) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (* (cbrt (sqrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im)))))) (* (sqrt (sqrt 2.0)) (sqrt (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (sqrt 1)) (* (sqrt (sqrt 2.0)) (sqrt 1)) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) 1) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (+ re (hypot re im)))) (* (sqrt (cbrt (sqrt 2.0))) (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt (cbrt 2.0))) (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt 2.0)) (sqrt (+ (pow re 3) (pow (hypot re im) 3)))) (* (sqrt (sqrt 2.0)) (sqrt (- (* re re) (* (hypot re im) (hypot re im))))) (expm1 (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))) (log1p (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))) (* (sqrt 2.0) (* (sqrt 2.0) (+ re (hypot re im)))) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (sqrt 2.0) (* (sqrt 2.0) (+ re (hypot re im)))) (+ (log (sqrt (sqrt 2.0))) (+ (log (sqrt (sqrt 2.0))) (log (sqrt (+ re (hypot re im)))))) (+ (log (sqrt (sqrt 2.0))) (log (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))) (log (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))) (exp (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))) (* (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))) (sqrt (+ re (hypot re im)))))) (* (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (* (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))) (* (cbrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))) (cbrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))))) (cbrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))) (* (* (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))) (* (sqrt 2.0) (* (sqrt 2.0) (+ re (hypot re im)))) (sqrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))) (sqrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (* (cbrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (sqrt (cbrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (cbrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (pow re 3) (pow (hypot re im) 3))))) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (- (* re re) (* (hypot re im) (hypot re im)))))) (expm1 (sqrt (+ re (hypot re im)))) (log1p (sqrt (+ re (hypot re im)))) (log (sqrt (+ re (hypot re im)))) (exp (sqrt (+ re (hypot re im)))) (* (cbrt (sqrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im))))) (cbrt (sqrt (+ re (hypot re im)))) (* (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))) (sqrt (+ re (hypot re im)))) (sqrt (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im))))) (sqrt (cbrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))) (sqrt 1) (sqrt (+ re (hypot re im))) (sqrt 1) (sqrt (+ re (hypot re im))) (sqrt (+ (pow re 3) (pow (hypot re im) 3))) (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))) (sqrt (- (* re re) (* (hypot re im) (hypot re im)))) (sqrt (- re (hypot re im))) (/ 1 2) (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))) (+ re im) (* 2 re) 0 (- (+ (* +nan.0 (* (pow (sqrt 2.0) 2) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow re 2))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) re)) (- (* +nan.0 (sqrt 2.0))))))) 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 (- (+ (* +nan.0 (pow re 2)) (- (+ (* +nan.0 im) (- (* +nan.0 re)))))) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) 0 2.849 * * [simplify]: iteration 0 : 405 enodes (cost 828 ) 2.858 * * [simplify]: iteration 1 : 1591 enodes (cost 742 ) 2.888 * * [simplify]: iteration 2 : 5001 enodes (cost 725 ) 2.893 * [simplify]: Simplified to: (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (exp (+ re (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (pow (+ re (hypot re im)) 3) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (fma (hypot re im) (- (hypot re im) re) (pow re 2)) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (expm1 (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (log1p (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (sqrt 2.0) (+ re (hypot re im))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) (* (sqrt 2.0) (+ re (hypot re im))) (log (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (log (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (exp (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (pow (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) 3) (* (cbrt (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (cbrt (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))) (cbrt (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (pow (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) 3) (* (sqrt 2.0) (+ re (hypot re im))) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (* (cbrt (sqrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im)))))) (* (fabs (cbrt (+ re (hypot re im)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (sqrt (sqrt 2.0)) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (+ re (hypot re im)))) (* (sqrt (cbrt (sqrt 2.0))) (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt (cbrt 2.0))) (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt 2.0)) (hypot (pow (hypot re im) 3/2) (pow re 3/2))) (* (sqrt (sqrt 2.0)) (sqrt (- (* re re) (* (hypot re im) (hypot re im))))) (expm1 (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))) (log1p (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))) (* 2.0 (+ re (hypot re im))) (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) (* 2.0 (+ re (hypot re im))) (+ (log (sqrt 2.0)) (log (sqrt (+ re (hypot re im))))) (+ (log (sqrt 2.0)) (log (sqrt (+ re (hypot re im))))) (+ (log (sqrt 2.0)) (log (sqrt (+ re (hypot re im))))) (pow (exp (sqrt 2.0)) (sqrt (+ re (hypot re im)))) (pow (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) 3) (pow (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) 3) (* (cbrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))) (cbrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))))) (cbrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))) (pow (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) 3) (* 2.0 (+ re (hypot re im))) (sqrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))) (sqrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))) (sqrt 2.0) (* (cbrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (sqrt (cbrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (cbrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) (* (hypot (pow (hypot re im) 3/2) (pow re 3/2)) (sqrt 2.0)) (* (sqrt 2.0) (sqrt (- (* re re) (* (hypot re im) (hypot re im))))) (expm1 (sqrt (+ re (hypot re im)))) (log1p (sqrt (+ re (hypot re im)))) (log (sqrt (+ re (hypot re im)))) (exp (sqrt (+ re (hypot re im)))) (* (cbrt (sqrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im))))) (cbrt (sqrt (+ re (hypot re im)))) (pow (sqrt (+ re (hypot re im))) 3) (fabs (cbrt (+ re (hypot re im)))) (sqrt (cbrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))) 1 (sqrt (+ re (hypot re im))) 1 (sqrt (+ re (hypot re im))) (hypot (pow (hypot re im) 3/2) (pow re 3/2)) (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))) (sqrt (- (* re re) (* (hypot re im) (hypot re im)))) (sqrt (- re (hypot re im))) 1/2 (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))) (+ re im) (* 2 re) 0 (fma (- +nan.0) (* (* 2.0 re) re) (* (* +nan.0 (sqrt 2.0)) (- im re))) (fma (- +nan.0) (/ (pow (sqrt 2.0) 3) (pow re 2)) (fma +nan.0 (/ 2.0 re) (- (* +nan.0 (sqrt 2.0))))) 0 (* (* +nan.0 (sqrt 2.0)) (+ (- (pow re 2)) (- im re))) (fma (- +nan.0) (sqrt 2.0) (* +nan.0 (- (/ (sqrt 2.0) (pow re 2)) (/ (sqrt 2.0) re)))) 0 (fma (- (pow re 2)) +nan.0 (* +nan.0 (- im re))) (+ (/ +nan.0 re) (- (fma +nan.0 1 (/ +nan.0 (pow re 2))))) 0 2.894 * * * [progress]: adding candidates to table 3.212 * [progress]: [Phase 3 of 3] Extracting. 3.212 * * [regime]: Finding splitpoints for: (# # # # #) 3.213 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re) 3.213 * * * * [regimes]: Trying to branch on (* im im) from (# # # # #) 3.247 * * * * [regimes]: Trying to branch on im from (# # # # #) 3.291 * * * * [regimes]: Trying to branch on re from (# # # # #) 3.322 * * * [regime]: Found split indices: #