14.137 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.026 * * * [progress]: [2/2] Setting up program. 0.028 * [progress]: [Phase 2 of 3] Improving. 0.029 * [simplify]: Simplifying using # : (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.031 * * [simplify]: iteration 0 : 24 enodes (cost 8 ) 0.033 * * [simplify]: iteration 1 : 30 enodes (cost 8 ) 0.034 * * [simplify]: iteration 2 : 33 enodes (cost 8 ) 0.036 * * [simplify]: iteration 3 : 33 enodes (cost 8 ) 0.036 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.036 * * [progress]: iteration 1 / 4 0.036 * * * [progress]: picking best candidate 0.038 * * * * [pick]: Picked # 0.038 * * * [progress]: localizing error 0.048 * * * [progress]: generating rewritten candidates 0.048 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.052 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.067 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.079 * * * [progress]: generating series expansions 0.080 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.080 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.080 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.080 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.080 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.080 * [taylor]: Taking taylor expansion of re in im 0.080 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.080 * [taylor]: Taking taylor expansion of im in im 0.081 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.081 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.081 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.081 * [taylor]: Taking taylor expansion of re in re 0.081 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.081 * [taylor]: Taking taylor expansion of im in re 0.081 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.081 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.081 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.081 * [taylor]: Taking taylor expansion of re in re 0.081 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.081 * [taylor]: Taking taylor expansion of im in re 0.082 * [taylor]: Taking taylor expansion of im in im 0.082 * [taylor]: Taking taylor expansion of 0 in im 0.083 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.083 * [taylor]: Taking taylor expansion of 1/2 in im 0.083 * [taylor]: Taking taylor expansion of im in im 0.085 * [taylor]: Taking taylor expansion of 0 in im 0.086 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.086 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.086 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.086 * [taylor]: Taking taylor expansion of im in im 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.087 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.087 * [taylor]: Taking taylor expansion of re in im 0.089 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.089 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.089 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.089 * [taylor]: Taking taylor expansion of im in re 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.089 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.089 * [taylor]: Taking taylor expansion of re in re 0.091 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.091 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.091 * [taylor]: Taking taylor expansion of im in re 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.091 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.091 * [taylor]: Taking taylor expansion of re in re 0.094 * [taylor]: Taking taylor expansion of 1 in im 0.094 * [taylor]: Taking taylor expansion of 0 in im 0.096 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.096 * [taylor]: Taking taylor expansion of 1/2 in im 0.096 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.096 * [taylor]: Taking taylor expansion of im in im 0.099 * [taylor]: Taking taylor expansion of 0 in im 0.100 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.100 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.100 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.100 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.100 * [taylor]: Taking taylor expansion of im in im 0.101 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.101 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.101 * [taylor]: Taking taylor expansion of re in im 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 0.110 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.110 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.110 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.110 * [taylor]: Taking taylor expansion of im in re 0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.110 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.110 * [taylor]: Taking taylor expansion of re in re 0.112 * [taylor]: Taking taylor expansion of 1 in im 0.112 * [taylor]: Taking taylor expansion of 0 in im 0.114 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.114 * [taylor]: Taking taylor expansion of 1/2 in im 0.114 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.114 * [taylor]: Taking taylor expansion of im in im 0.117 * [taylor]: Taking taylor expansion of 0 in im 0.119 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 0.119 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 0.119 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.119 * [taylor]: Taking taylor expansion of re in im 0.119 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.119 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.119 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.119 * [taylor]: Taking taylor expansion of re in im 0.119 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.119 * [taylor]: Taking taylor expansion of im in im 0.119 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.120 * [taylor]: Taking taylor expansion of re in re 0.120 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.120 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.120 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.120 * [taylor]: Taking taylor expansion of re in re 0.120 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.120 * [taylor]: Taking taylor expansion of im in re 0.120 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.120 * [taylor]: Taking taylor expansion of re in re 0.120 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.120 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.120 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.120 * [taylor]: Taking taylor expansion of re in re 0.120 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.120 * [taylor]: Taking taylor expansion of im in re 0.121 * [taylor]: Taking taylor expansion of im in im 0.121 * [taylor]: Taking taylor expansion of 1 in im 0.122 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.122 * [taylor]: Taking taylor expansion of 1/2 in im 0.122 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.122 * [taylor]: Taking taylor expansion of im in im 0.125 * [taylor]: Taking taylor expansion of 0 in im 0.126 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.126 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.126 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.126 * [taylor]: Taking taylor expansion of re in im 0.126 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.126 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.126 * [taylor]: Taking taylor expansion of im in im 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.127 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.127 * [taylor]: Taking taylor expansion of re in im 0.129 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.129 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.129 * [taylor]: Taking taylor expansion of re in re 0.129 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.129 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.129 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.129 * [taylor]: Taking taylor expansion of im in re 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.130 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.130 * [taylor]: Taking taylor expansion of re in re 0.132 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.132 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.132 * [taylor]: Taking taylor expansion of re in re 0.132 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.132 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.132 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.132 * [taylor]: Taking taylor expansion of im in re 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.132 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.133 * [taylor]: Taking taylor expansion of re in re 0.135 * [taylor]: Taking taylor expansion of 2 in im 0.136 * [taylor]: Taking taylor expansion of 0 in im 0.139 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.139 * [taylor]: Taking taylor expansion of 1/2 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 0.143 * [taylor]: Taking taylor expansion of 0 in im 0.145 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.145 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.145 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.145 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.145 * [taylor]: Taking taylor expansion of im in im 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.145 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.145 * [taylor]: Taking taylor expansion of re in im 0.147 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.147 * [taylor]: Taking taylor expansion of re in im 0.147 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.147 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.147 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.147 * [taylor]: Taking taylor expansion of im in re 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.148 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.148 * [taylor]: Taking taylor expansion of re in re 0.150 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.150 * [taylor]: Taking taylor expansion of re in re 0.150 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.150 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.150 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.150 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.150 * [taylor]: Taking taylor expansion of im in re 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.150 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.151 * [taylor]: Taking taylor expansion of re in re 0.153 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.153 * [taylor]: Taking taylor expansion of re in re 0.154 * [taylor]: Taking taylor expansion of 0 in im 0.154 * [taylor]: Taking taylor expansion of 0 in im 0.157 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.157 * [taylor]: Taking taylor expansion of 1/2 in im 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.157 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.157 * [taylor]: Taking taylor expansion of im in im 0.162 * [taylor]: Taking taylor expansion of 0 in im 0.163 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.163 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in (re im) around 0 0.163 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 0.163 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.163 * [taylor]: Taking taylor expansion of 2.0 in im 0.164 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 0.164 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.164 * [taylor]: Taking taylor expansion of re in im 0.164 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.164 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.164 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.164 * [taylor]: Taking taylor expansion of re in im 0.164 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.164 * [taylor]: Taking taylor expansion of im in im 0.165 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.165 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.165 * [taylor]: Taking taylor expansion of 2.0 in re 0.166 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.166 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.166 * [taylor]: Taking taylor expansion of re in re 0.166 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.166 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.166 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.166 * [taylor]: Taking taylor expansion of re in re 0.166 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.166 * [taylor]: Taking taylor expansion of im in re 0.167 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.167 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.167 * [taylor]: Taking taylor expansion of 2.0 in re 0.168 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.168 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.168 * [taylor]: Taking taylor expansion of re in re 0.168 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.168 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.168 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.168 * [taylor]: Taking taylor expansion of re in re 0.168 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.168 * [taylor]: Taking taylor expansion of im in re 0.169 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.169 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.169 * [taylor]: Taking taylor expansion of 2.0 in im 0.170 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.170 * [taylor]: Taking taylor expansion of im in im 0.171 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.171 * [taylor]: Taking taylor expansion of 1/2 in im 0.171 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.171 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.172 * [taylor]: Taking taylor expansion of 2.0 in im 0.172 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.172 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.172 * [taylor]: Taking taylor expansion of im in im 0.183 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.183 * [taylor]: Taking taylor expansion of 1/8 in im 0.183 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.183 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.183 * [taylor]: Taking taylor expansion of 2.0 in im 0.184 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.184 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.184 * [taylor]: Taking taylor expansion of im in im 0.206 * [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 0.207 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.207 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.207 * [taylor]: Taking taylor expansion of 2.0 in im 0.207 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.207 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.207 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.207 * [taylor]: Taking taylor expansion of re in im 0.207 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.207 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.207 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.207 * [taylor]: Taking taylor expansion of im in im 0.208 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.208 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.208 * [taylor]: Taking taylor expansion of re in im 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 (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.216 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.216 * [taylor]: Taking taylor expansion of 2.0 in re 0.217 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.217 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.217 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.217 * [taylor]: Taking taylor expansion of re in re 0.217 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.217 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.217 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.217 * [taylor]: Taking taylor expansion of im in re 0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.217 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.217 * [taylor]: Taking taylor expansion of re in re 0.221 * [taylor]: Taking taylor expansion of 0 in im 0.222 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.222 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.222 * [taylor]: Taking taylor expansion of +nan.0 in im 0.222 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.222 * [taylor]: Taking taylor expansion of 2.0 in im 0.228 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.228 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.228 * [taylor]: Taking taylor expansion of +nan.0 in im 0.228 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.228 * [taylor]: Taking taylor expansion of 2.0 in im 0.236 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.236 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.236 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.236 * [taylor]: Taking taylor expansion of +nan.0 in im 0.236 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.236 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.236 * [taylor]: Taking taylor expansion of 2.0 in im 0.237 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.237 * [taylor]: Taking taylor expansion of im in im 0.238 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.238 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.238 * [taylor]: Taking taylor expansion of +nan.0 in im 0.238 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.238 * [taylor]: Taking taylor expansion of 2.0 in im 0.249 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.249 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.249 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.249 * [taylor]: Taking taylor expansion of +nan.0 in im 0.249 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.249 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.249 * [taylor]: Taking taylor expansion of 2.0 in im 0.250 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.250 * [taylor]: Taking taylor expansion of im in im 0.251 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.251 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.251 * [taylor]: Taking taylor expansion of +nan.0 in im 0.251 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.251 * [taylor]: Taking taylor expansion of 2.0 in im 0.264 * [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 0.264 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.264 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.264 * [taylor]: Taking taylor expansion of 2.0 in im 0.265 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.265 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.265 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.265 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.265 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.265 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.265 * [taylor]: Taking taylor expansion of im in im 0.265 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.265 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.265 * [taylor]: Taking taylor expansion of re in im 0.267 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.267 * [taylor]: Taking taylor expansion of re in im 0.269 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.269 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.269 * [taylor]: Taking taylor expansion of 2.0 in re 0.269 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.269 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.270 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.270 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.270 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.270 * [taylor]: Taking taylor expansion of im in re 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.270 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.270 * [taylor]: Taking taylor expansion of re in re 0.272 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.272 * [taylor]: Taking taylor expansion of re in re 0.277 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.277 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.277 * [taylor]: Taking taylor expansion of 2.0 in re 0.278 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.278 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.278 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.278 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.278 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.278 * [taylor]: Taking taylor expansion of im in re 0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.278 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.278 * [taylor]: Taking taylor expansion of re in re 0.280 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.280 * [taylor]: Taking taylor expansion of re in re 0.292 * [taylor]: Taking taylor expansion of 0 in im 0.293 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.293 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.293 * [taylor]: Taking taylor expansion of +nan.0 in im 0.293 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.293 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.293 * [taylor]: Taking taylor expansion of 2.0 in im 0.293 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.293 * [taylor]: Taking taylor expansion of im in im 0.300 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.300 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.300 * [taylor]: Taking taylor expansion of +nan.0 in im 0.300 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.301 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.301 * [taylor]: Taking taylor expansion of 2.0 in im 0.301 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.301 * [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 0.342 * * * [progress]: simplifying candidates 0.343 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (expm1 (+ (sqrt (+ (* re re) (* im im))) re)) (log1p (+ (sqrt (+ (* re re) (* im im))) re)) (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) (expm1 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (log1p (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (* (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) im re (* -1 re) (+ re im) (* 2 re) 0 (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0 0.348 * * [simplify]: iteration 0 : 264 enodes (cost 372 ) 0.353 * * [simplify]: iteration 1 : 830 enodes (cost 337 ) 0.368 * * [simplify]: iteration 2 : 2660 enodes (cost 322 ) 0.416 * * [simplify]: iteration 3 : 5002 enodes (cost 320 ) 0.418 * [simplify]: Simplified to: (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (hypot re im) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (hypot re im) (hypot (pow im 3) (pow re 3)) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (expm1 (+ (sqrt (+ (* re re) (* im im))) re)) (log1p (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ re (hypot re im))) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ re (hypot re im))) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (pow (+ re (hypot re im)) 3) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (fma (pow re 2) re (pow (hypot re im) 3)) (fma re (- re (hypot re im)) (fma re re (* im im))) (* im im) (- (hypot re im) re) (+ re (hypot re im)) (expm1 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (log1p (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (pow (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 3) (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) im re (* -1 re) (+ re im) (* 2 re) 0 (* (* +nan.0 (sqrt 2.0)) (+ (- (* re re)) (- im re))) (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) 0 0.418 * * * [progress]: adding candidates to table 0.592 * * [progress]: iteration 2 / 4 0.592 * * * [progress]: picking best candidate 0.604 * * * * [pick]: Picked # 0.604 * * * [progress]: localizing error 0.617 * * * [progress]: generating rewritten candidates 0.617 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 2) 0.620 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.625 * * * [progress]: generating series expansions 0.625 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 2) 0.625 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 0.625 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.625 * [taylor]: Taking taylor expansion of re in im 0.625 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.625 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.625 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.625 * [taylor]: Taking taylor expansion of (* re re) in im 0.625 * [taylor]: Taking taylor expansion of re in im 0.625 * [taylor]: Taking taylor expansion of re in im 0.625 * [taylor]: Taking taylor expansion of (* im im) in im 0.625 * [taylor]: Taking taylor expansion of im in im 0.625 * [taylor]: Taking taylor expansion of im in im 0.627 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.627 * [taylor]: Taking taylor expansion of re in re 0.627 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.627 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.627 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.627 * [taylor]: Taking taylor expansion of (* re re) in re 0.627 * [taylor]: Taking taylor expansion of re in re 0.627 * [taylor]: Taking taylor expansion of re in re 0.627 * [taylor]: Taking taylor expansion of (* im im) in re 0.627 * [taylor]: Taking taylor expansion of im in re 0.627 * [taylor]: Taking taylor expansion of im in re 0.628 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.628 * [taylor]: Taking taylor expansion of re in re 0.628 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.628 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.628 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.628 * [taylor]: Taking taylor expansion of (* re re) in re 0.628 * [taylor]: Taking taylor expansion of re in re 0.628 * [taylor]: Taking taylor expansion of re in re 0.628 * [taylor]: Taking taylor expansion of (* im im) in re 0.628 * [taylor]: Taking taylor expansion of im in re 0.628 * [taylor]: Taking taylor expansion of im in re 0.629 * [taylor]: Taking taylor expansion of im in im 0.630 * [taylor]: Taking taylor expansion of 1 in im 0.631 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.631 * [taylor]: Taking taylor expansion of 1/2 in im 0.631 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.631 * [taylor]: Taking taylor expansion of im in im 0.634 * [taylor]: Taking taylor expansion of 0 in im 0.635 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 0.635 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 0.635 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.635 * [taylor]: Taking taylor expansion of re in im 0.635 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.635 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.635 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.635 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.635 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.635 * [taylor]: Taking taylor expansion of re in im 0.635 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.635 * [taylor]: Taking taylor expansion of re in im 0.635 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.635 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.636 * [taylor]: Taking taylor expansion of im in im 0.636 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.636 * [taylor]: Taking taylor expansion of im in im 0.639 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.639 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.639 * [taylor]: Taking taylor expansion of re in re 0.639 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.639 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.639 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.639 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.639 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.639 * [taylor]: Taking taylor expansion of re in re 0.639 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.639 * [taylor]: Taking taylor expansion of re in re 0.640 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.640 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.640 * [taylor]: Taking taylor expansion of im in re 0.640 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.640 * [taylor]: Taking taylor expansion of im in re 0.642 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.642 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.642 * [taylor]: Taking taylor expansion of re in re 0.643 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.643 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.643 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.643 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.643 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.643 * [taylor]: Taking taylor expansion of re in re 0.643 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.643 * [taylor]: Taking taylor expansion of re in re 0.643 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.643 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.643 * [taylor]: Taking taylor expansion of im in re 0.643 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.643 * [taylor]: Taking taylor expansion of im in re 0.646 * [taylor]: Taking taylor expansion of 2 in im 0.647 * [taylor]: Taking taylor expansion of 0 in im 0.650 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.650 * [taylor]: Taking taylor expansion of 1/2 in im 0.650 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.650 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.650 * [taylor]: Taking taylor expansion of im in im 0.655 * [taylor]: Taking taylor expansion of 0 in im 0.657 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 0.657 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.657 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.657 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.657 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.657 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.657 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.657 * [taylor]: Taking taylor expansion of -1 in im 0.657 * [taylor]: Taking taylor expansion of re in im 0.657 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.657 * [taylor]: Taking taylor expansion of -1 in im 0.657 * [taylor]: Taking taylor expansion of re in im 0.657 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.657 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.657 * [taylor]: Taking taylor expansion of -1 in im 0.657 * [taylor]: Taking taylor expansion of im in im 0.657 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.657 * [taylor]: Taking taylor expansion of -1 in im 0.657 * [taylor]: Taking taylor expansion of im in im 0.660 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.661 * [taylor]: Taking taylor expansion of re in im 0.661 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.661 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.661 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.661 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.661 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.661 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.661 * [taylor]: Taking taylor expansion of -1 in re 0.661 * [taylor]: Taking taylor expansion of re in re 0.661 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.661 * [taylor]: Taking taylor expansion of -1 in re 0.661 * [taylor]: Taking taylor expansion of re in re 0.661 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.661 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.661 * [taylor]: Taking taylor expansion of -1 in re 0.661 * [taylor]: Taking taylor expansion of im in re 0.662 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.662 * [taylor]: Taking taylor expansion of -1 in re 0.662 * [taylor]: Taking taylor expansion of im in re 0.664 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.664 * [taylor]: Taking taylor expansion of re in re 0.664 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.664 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.665 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.665 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.665 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.665 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.665 * [taylor]: Taking taylor expansion of -1 in re 0.665 * [taylor]: Taking taylor expansion of re in re 0.665 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.665 * [taylor]: Taking taylor expansion of -1 in re 0.665 * [taylor]: Taking taylor expansion of re in re 0.665 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.665 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.665 * [taylor]: Taking taylor expansion of -1 in re 0.665 * [taylor]: Taking taylor expansion of im in re 0.665 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.665 * [taylor]: Taking taylor expansion of -1 in re 0.665 * [taylor]: Taking taylor expansion of im in re 0.668 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.668 * [taylor]: Taking taylor expansion of re in re 0.669 * [taylor]: Taking taylor expansion of 0 in im 0.670 * [taylor]: Taking taylor expansion of 0 in im 0.673 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.673 * [taylor]: Taking taylor expansion of 1/2 in im 0.673 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.673 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.673 * [taylor]: Taking taylor expansion of im in im 0.678 * [taylor]: Taking taylor expansion of 0 in im 0.680 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.680 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0 0.680 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im 0.680 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 0.680 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.680 * [taylor]: Taking taylor expansion of re in im 0.680 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.680 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.680 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.680 * [taylor]: Taking taylor expansion of (* re re) in im 0.680 * [taylor]: Taking taylor expansion of re in im 0.680 * [taylor]: Taking taylor expansion of re in im 0.680 * [taylor]: Taking taylor expansion of (* im im) in im 0.680 * [taylor]: Taking taylor expansion of im in im 0.680 * [taylor]: Taking taylor expansion of im in im 0.682 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.682 * [taylor]: Taking taylor expansion of 2.0 in im 0.682 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 0.682 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 0.682 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.682 * [taylor]: Taking taylor expansion of re in re 0.682 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.683 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.683 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.683 * [taylor]: Taking taylor expansion of (* re re) in re 0.683 * [taylor]: Taking taylor expansion of re in re 0.683 * [taylor]: Taking taylor expansion of re in re 0.683 * [taylor]: Taking taylor expansion of (* im im) in re 0.683 * [taylor]: Taking taylor expansion of im in re 0.683 * [taylor]: Taking taylor expansion of im in re 0.684 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.684 * [taylor]: Taking taylor expansion of 2.0 in re 0.685 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 0.685 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 0.685 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.685 * [taylor]: Taking taylor expansion of re in re 0.685 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.685 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.685 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.685 * [taylor]: Taking taylor expansion of (* re re) in re 0.685 * [taylor]: Taking taylor expansion of re in re 0.685 * [taylor]: Taking taylor expansion of re in re 0.685 * [taylor]: Taking taylor expansion of (* im im) in re 0.685 * [taylor]: Taking taylor expansion of im in re 0.685 * [taylor]: Taking taylor expansion of im in re 0.686 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.686 * [taylor]: Taking taylor expansion of 2.0 in re 0.687 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.688 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.688 * [taylor]: Taking taylor expansion of 2.0 in im 0.688 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.688 * [taylor]: Taking taylor expansion of im in im 0.690 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.690 * [taylor]: Taking taylor expansion of 1/2 in im 0.690 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.690 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.690 * [taylor]: Taking taylor expansion of 2.0 in im 0.691 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.691 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.691 * [taylor]: Taking taylor expansion of im in im 0.709 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.709 * [taylor]: Taking taylor expansion of 1/8 in im 0.709 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.709 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.709 * [taylor]: Taking taylor expansion of 2.0 in im 0.710 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.710 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.710 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.710 * [taylor]: Taking taylor expansion of im in im 0.725 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in (re im) around 0 0.725 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in im 0.725 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 0.725 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 0.725 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.725 * [taylor]: Taking taylor expansion of re in im 0.725 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.725 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.725 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.725 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.725 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.725 * [taylor]: Taking taylor expansion of re in im 0.725 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.725 * [taylor]: Taking taylor expansion of re in im 0.725 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.725 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.725 * [taylor]: Taking taylor expansion of im in im 0.726 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.726 * [taylor]: Taking taylor expansion of im in im 0.730 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.730 * [taylor]: Taking taylor expansion of 2.0 in im 0.730 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 0.730 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 0.731 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.731 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.731 * [taylor]: Taking taylor expansion of re in re 0.731 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.731 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.731 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.731 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.731 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.731 * [taylor]: Taking taylor expansion of re in re 0.731 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.731 * [taylor]: Taking taylor expansion of re in re 0.732 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.732 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.732 * [taylor]: Taking taylor expansion of im in re 0.732 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.732 * [taylor]: Taking taylor expansion of im in re 0.735 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.735 * [taylor]: Taking taylor expansion of 2.0 in re 0.736 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 0.736 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 0.736 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.736 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.736 * [taylor]: Taking taylor expansion of re in re 0.737 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.737 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.737 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.737 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.737 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.737 * [taylor]: Taking taylor expansion of re in re 0.737 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.737 * [taylor]: Taking taylor expansion of re in re 0.737 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.737 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.737 * [taylor]: Taking taylor expansion of im in re 0.738 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.738 * [taylor]: Taking taylor expansion of im in re 0.741 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.741 * [taylor]: Taking taylor expansion of 2.0 in re 0.742 * [taylor]: Taking taylor expansion of 0 in im 0.743 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.744 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.744 * [taylor]: Taking taylor expansion of +nan.0 in im 0.744 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.744 * [taylor]: Taking taylor expansion of 2.0 in im 0.749 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.749 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.749 * [taylor]: Taking taylor expansion of +nan.0 in im 0.749 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.749 * [taylor]: Taking taylor expansion of 2.0 in im 0.759 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.759 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.759 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.759 * [taylor]: Taking taylor expansion of +nan.0 in im 0.759 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.759 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.759 * [taylor]: Taking taylor expansion of 2.0 in im 0.759 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.759 * [taylor]: Taking taylor expansion of im in im 0.760 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.760 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.760 * [taylor]: Taking taylor expansion of +nan.0 in im 0.760 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.760 * [taylor]: Taking taylor expansion of 2.0 in im 0.772 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.772 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.772 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.772 * [taylor]: Taking taylor expansion of +nan.0 in im 0.772 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.772 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.772 * [taylor]: Taking taylor expansion of 2.0 in im 0.773 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.773 * [taylor]: Taking taylor expansion of im in im 0.774 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.774 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.774 * [taylor]: Taking taylor expansion of +nan.0 in im 0.774 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.774 * [taylor]: Taking taylor expansion of 2.0 in im 0.793 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 0.793 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 0.793 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.793 * [taylor]: Taking taylor expansion of 2.0 in im 0.794 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 0.794 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.794 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.794 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.794 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.794 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.794 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.794 * [taylor]: Taking taylor expansion of -1 in im 0.794 * [taylor]: Taking taylor expansion of re in im 0.794 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.794 * [taylor]: Taking taylor expansion of -1 in im 0.794 * [taylor]: Taking taylor expansion of re in im 0.794 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.794 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.794 * [taylor]: Taking taylor expansion of -1 in im 0.794 * [taylor]: Taking taylor expansion of im in im 0.794 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.794 * [taylor]: Taking taylor expansion of -1 in im 0.794 * [taylor]: Taking taylor expansion of im in im 0.797 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.797 * [taylor]: Taking taylor expansion of re in im 0.799 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.799 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.799 * [taylor]: Taking taylor expansion of 2.0 in re 0.799 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.799 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.799 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.800 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.800 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.800 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.800 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.800 * [taylor]: Taking taylor expansion of -1 in re 0.800 * [taylor]: Taking taylor expansion of re in re 0.800 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.800 * [taylor]: Taking taylor expansion of -1 in re 0.800 * [taylor]: Taking taylor expansion of re in re 0.800 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.800 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.800 * [taylor]: Taking taylor expansion of -1 in re 0.800 * [taylor]: Taking taylor expansion of im in re 0.800 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.800 * [taylor]: Taking taylor expansion of -1 in re 0.800 * [taylor]: Taking taylor expansion of im in re 0.803 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.803 * [taylor]: Taking taylor expansion of re in re 0.808 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.809 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.809 * [taylor]: Taking taylor expansion of 2.0 in re 0.809 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.809 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.809 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.809 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.809 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.809 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.809 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.809 * [taylor]: Taking taylor expansion of -1 in re 0.809 * [taylor]: Taking taylor expansion of re in re 0.810 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.810 * [taylor]: Taking taylor expansion of -1 in re 0.810 * [taylor]: Taking taylor expansion of re in re 0.810 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.810 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.810 * [taylor]: Taking taylor expansion of -1 in re 0.810 * [taylor]: Taking taylor expansion of im in re 0.810 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.810 * [taylor]: Taking taylor expansion of -1 in re 0.810 * [taylor]: Taking taylor expansion of im in re 0.813 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.813 * [taylor]: Taking taylor expansion of re in re 0.819 * [taylor]: Taking taylor expansion of 0 in im 0.819 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.819 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.820 * [taylor]: Taking taylor expansion of +nan.0 in im 0.820 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.820 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.820 * [taylor]: Taking taylor expansion of 2.0 in im 0.820 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.820 * [taylor]: Taking taylor expansion of im in im 0.828 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.828 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.828 * [taylor]: Taking taylor expansion of +nan.0 in im 0.828 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.828 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.828 * [taylor]: Taking taylor expansion of 2.0 in im 0.829 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.829 * [taylor]: Taking taylor expansion of im in im 0.845 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.845 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.845 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.845 * [taylor]: Taking taylor expansion of +nan.0 in im 0.845 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.845 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.845 * [taylor]: Taking taylor expansion of 2.0 in im 0.846 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.846 * [taylor]: Taking taylor expansion of im in im 0.847 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.847 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.847 * [taylor]: Taking taylor expansion of +nan.0 in im 0.847 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.847 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.847 * [taylor]: Taking taylor expansion of 2.0 in im 0.848 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.848 * [taylor]: Taking taylor expansion of im in im 0.877 * * * [progress]: simplifying candidates 0.878 * [simplify]: Simplifying using # : (expm1 (+ (* 1 (hypot re im)) re)) (log1p (+ (* 1 (hypot re im)) re)) (* (exp (* 1 (hypot re im))) (exp re)) (log (+ (* 1 (hypot re im)) re)) (exp (+ (* 1 (hypot re im)) re)) (* (cbrt (+ (* 1 (hypot re im)) re)) (cbrt (+ (* 1 (hypot re im)) re))) (cbrt (+ (* 1 (hypot re im)) re)) (* (* (+ (* 1 (hypot re im)) re) (+ (* 1 (hypot re im)) re)) (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)) (+ (pow (* 1 (hypot re im)) 3) (pow re 3)) (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (- (* re re) (* (* 1 (hypot re im)) re))) (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re)) (- (* 1 (hypot re im)) re) (+ (hypot re im) re) (expm1 (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (log1p (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (log (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (exp (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (* (cbrt (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (cbrt (sqrt (* 2.0 (+ (* 1 (hypot re im)) re))))) (cbrt (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (* (* (sqrt (* 2.0 (+ (* 1 (hypot re im)) re))) (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (sqrt 2.0) (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (* 2.0 (+ (pow (* 1 (hypot re im)) 3) (pow re 3)))) (sqrt (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (- (* re re) (* (* 1 (hypot re im)) re)))) (sqrt (* 2.0 (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re)))) (sqrt (- (* 1 (hypot re im)) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (+ re im) (* 2 re) 0 (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0 0.882 * * [simplify]: iteration 0 : 203 enodes (cost 208 ) 0.886 * * [simplify]: iteration 1 : 623 enodes (cost 184 ) 0.900 * * [simplify]: iteration 2 : 2642 enodes (cost 176 ) 0.951 * * [simplify]: iteration 3 : 5001 enodes (cost 175 ) 0.952 * [simplify]: Simplified to: (expm1 (+ (* 1 (hypot re im)) re)) (log1p (+ (* 1 (hypot re im)) re)) (exp (+ re (hypot re im))) (log (+ (* 1 (hypot re im)) re)) (exp (+ re (hypot re im))) (* (cbrt (+ (* 1 (hypot re im)) re)) (cbrt (+ (* 1 (hypot re im)) re))) (cbrt (+ (* 1 (hypot re im)) re)) (pow (fma 1 (hypot re im) re) 3) (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)) (fma (pow re 2) re (pow (hypot re im) 3)) (fma (hypot re im) (- (hypot re im) re) (pow re 2)) (fma (hypot re im) (hypot re im) (- (pow re 2))) (- (hypot re im) re) (fma 1 (hypot re im) re) (expm1 (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (log1p (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (log (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (exp (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (* (cbrt (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (cbrt (sqrt (* 2.0 (+ (* 1 (hypot re im)) re))))) (cbrt (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (pow (sqrt (* 2.0 (+ (* 1 (hypot re im)) re))) 3) (sqrt 2.0) (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (* 2.0 (+ (pow (* 1 (hypot re im)) 3) (pow re 3)))) (sqrt (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (- (* re re) (* (* 1 (hypot re im)) re)))) (sqrt (* 2.0 (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re)))) (sqrt (- (* 1 (hypot re im)) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* 1 (hypot re im)) re)))) (+ re im) (* 2 re) 0 (* (* +nan.0 (sqrt 2.0)) (+ (- (* re re)) (- im re))) (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) 0 0.953 * * * [progress]: adding candidates to table 1.047 * * [progress]: iteration 3 / 4 1.047 * * * [progress]: picking best candidate 1.064 * * * * [pick]: Picked # 1.064 * * * [progress]: localizing error 1.074 * * * [progress]: generating rewritten candidates 1.074 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 1.088 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2 1) 1.091 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2) 1.097 * * * [progress]: generating series expansions 1.097 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 1.097 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0 1.097 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im 1.097 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 1.097 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.097 * [taylor]: Taking taylor expansion of re in im 1.097 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.098 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.098 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.098 * [taylor]: Taking taylor expansion of (* re re) in im 1.098 * [taylor]: Taking taylor expansion of re in im 1.098 * [taylor]: Taking taylor expansion of re in im 1.098 * [taylor]: Taking taylor expansion of (* im im) in im 1.098 * [taylor]: Taking taylor expansion of im in im 1.098 * [taylor]: Taking taylor expansion of im in im 1.099 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.099 * [taylor]: Taking taylor expansion of 2.0 in im 1.100 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 1.100 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 1.100 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.100 * [taylor]: Taking taylor expansion of re in re 1.100 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.100 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.100 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.100 * [taylor]: Taking taylor expansion of (* re re) in re 1.100 * [taylor]: Taking taylor expansion of re in re 1.100 * [taylor]: Taking taylor expansion of re in re 1.100 * [taylor]: Taking taylor expansion of (* im im) in re 1.100 * [taylor]: Taking taylor expansion of im in re 1.100 * [taylor]: Taking taylor expansion of im in re 1.102 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.102 * [taylor]: Taking taylor expansion of 2.0 in re 1.102 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 1.103 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 1.103 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.103 * [taylor]: Taking taylor expansion of re in re 1.103 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.103 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.103 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.103 * [taylor]: Taking taylor expansion of (* re re) in re 1.103 * [taylor]: Taking taylor expansion of re in re 1.103 * [taylor]: Taking taylor expansion of re in re 1.103 * [taylor]: Taking taylor expansion of (* im im) in re 1.103 * [taylor]: Taking taylor expansion of im in re 1.103 * [taylor]: Taking taylor expansion of im in re 1.104 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.104 * [taylor]: Taking taylor expansion of 2.0 in re 1.105 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 1.105 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.105 * [taylor]: Taking taylor expansion of 2.0 in im 1.106 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.106 * [taylor]: Taking taylor expansion of im in im 1.108 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 1.108 * [taylor]: Taking taylor expansion of 1/2 in im 1.108 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 1.108 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.108 * [taylor]: Taking taylor expansion of 2.0 in im 1.109 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.109 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.109 * [taylor]: Taking taylor expansion of im in im 1.120 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 1.120 * [taylor]: Taking taylor expansion of 1/8 in im 1.120 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 1.120 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.120 * [taylor]: Taking taylor expansion of 2.0 in im 1.121 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 1.121 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 1.121 * [taylor]: Taking taylor expansion of (pow im 3) in im 1.121 * [taylor]: Taking taylor expansion of im in im 1.142 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in (re im) around 0 1.142 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in im 1.142 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 1.142 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 1.142 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.142 * [taylor]: Taking taylor expansion of re in im 1.142 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.142 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.142 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.142 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.142 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.142 * [taylor]: Taking taylor expansion of re in im 1.142 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.142 * [taylor]: Taking taylor expansion of re in im 1.142 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.142 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.142 * [taylor]: Taking taylor expansion of im in im 1.143 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.143 * [taylor]: Taking taylor expansion of im in im 1.147 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.147 * [taylor]: Taking taylor expansion of 2.0 in im 1.148 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 1.148 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 1.148 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.148 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.148 * [taylor]: Taking taylor expansion of re in re 1.148 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.148 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.148 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.148 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.148 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.148 * [taylor]: Taking taylor expansion of re in re 1.148 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.148 * [taylor]: Taking taylor expansion of re in re 1.149 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.149 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.149 * [taylor]: Taking taylor expansion of im in re 1.149 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.149 * [taylor]: Taking taylor expansion of im in re 1.152 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.153 * [taylor]: Taking taylor expansion of 2.0 in re 1.153 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 1.153 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 1.153 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.153 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.153 * [taylor]: Taking taylor expansion of re in re 1.153 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.154 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.154 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.154 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.154 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.154 * [taylor]: Taking taylor expansion of re in re 1.154 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.154 * [taylor]: Taking taylor expansion of re in re 1.154 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.154 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.154 * [taylor]: Taking taylor expansion of im in re 1.154 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.154 * [taylor]: Taking taylor expansion of im in re 1.158 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.158 * [taylor]: Taking taylor expansion of 2.0 in re 1.159 * [taylor]: Taking taylor expansion of 0 in im 1.160 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.160 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.160 * [taylor]: Taking taylor expansion of +nan.0 in im 1.160 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.160 * [taylor]: Taking taylor expansion of 2.0 in im 1.166 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.166 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.167 * [taylor]: Taking taylor expansion of +nan.0 in im 1.167 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.167 * [taylor]: Taking taylor expansion of 2.0 in im 1.176 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 1.176 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 1.176 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.176 * [taylor]: Taking taylor expansion of +nan.0 in im 1.176 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.176 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.176 * [taylor]: Taking taylor expansion of 2.0 in im 1.177 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.177 * [taylor]: Taking taylor expansion of im in im 1.177 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.177 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.178 * [taylor]: Taking taylor expansion of +nan.0 in im 1.178 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.178 * [taylor]: Taking taylor expansion of 2.0 in im 1.190 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 1.190 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 1.190 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.190 * [taylor]: Taking taylor expansion of +nan.0 in im 1.190 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.190 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.190 * [taylor]: Taking taylor expansion of 2.0 in im 1.190 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.191 * [taylor]: Taking taylor expansion of im in im 1.191 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.191 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.191 * [taylor]: Taking taylor expansion of +nan.0 in im 1.191 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.191 * [taylor]: Taking taylor expansion of 2.0 in im 1.205 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 1.205 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 1.205 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.205 * [taylor]: Taking taylor expansion of 2.0 in im 1.205 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 1.206 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.206 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.206 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.206 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.206 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.206 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.206 * [taylor]: Taking taylor expansion of -1 in im 1.206 * [taylor]: Taking taylor expansion of re in im 1.206 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.206 * [taylor]: Taking taylor expansion of -1 in im 1.206 * [taylor]: Taking taylor expansion of re in im 1.206 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.206 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.206 * [taylor]: Taking taylor expansion of -1 in im 1.206 * [taylor]: Taking taylor expansion of im in im 1.206 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.206 * [taylor]: Taking taylor expansion of -1 in im 1.206 * [taylor]: Taking taylor expansion of im in im 1.209 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.209 * [taylor]: Taking taylor expansion of re in im 1.210 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 1.210 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.210 * [taylor]: Taking taylor expansion of 2.0 in re 1.211 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.211 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.211 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.211 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.211 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.211 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.211 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.211 * [taylor]: Taking taylor expansion of -1 in re 1.211 * [taylor]: Taking taylor expansion of re in re 1.212 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.212 * [taylor]: Taking taylor expansion of -1 in re 1.212 * [taylor]: Taking taylor expansion of re in re 1.212 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.212 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.212 * [taylor]: Taking taylor expansion of -1 in re 1.212 * [taylor]: Taking taylor expansion of im in re 1.212 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.212 * [taylor]: Taking taylor expansion of -1 in re 1.212 * [taylor]: Taking taylor expansion of im in re 1.215 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.215 * [taylor]: Taking taylor expansion of re in re 1.220 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 1.220 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.221 * [taylor]: Taking taylor expansion of 2.0 in re 1.221 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.221 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.221 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.221 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.221 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.221 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.221 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.221 * [taylor]: Taking taylor expansion of -1 in re 1.221 * [taylor]: Taking taylor expansion of re in re 1.222 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.222 * [taylor]: Taking taylor expansion of -1 in re 1.222 * [taylor]: Taking taylor expansion of re in re 1.222 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.222 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.222 * [taylor]: Taking taylor expansion of -1 in re 1.222 * [taylor]: Taking taylor expansion of im in re 1.222 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.222 * [taylor]: Taking taylor expansion of -1 in re 1.222 * [taylor]: Taking taylor expansion of im in re 1.231 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.231 * [taylor]: Taking taylor expansion of re in re 1.237 * [taylor]: Taking taylor expansion of 0 in im 1.238 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 1.238 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.238 * [taylor]: Taking taylor expansion of +nan.0 in im 1.238 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.238 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.238 * [taylor]: Taking taylor expansion of 2.0 in im 1.239 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.239 * [taylor]: Taking taylor expansion of im in im 1.246 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 1.246 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.246 * [taylor]: Taking taylor expansion of +nan.0 in im 1.246 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.246 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.246 * [taylor]: Taking taylor expansion of 2.0 in im 1.247 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.247 * [taylor]: Taking taylor expansion of im in im 1.264 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 1.264 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 1.264 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.264 * [taylor]: Taking taylor expansion of +nan.0 in im 1.265 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.265 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.265 * [taylor]: Taking taylor expansion of 2.0 in im 1.265 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.265 * [taylor]: Taking taylor expansion of im in im 1.266 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 1.266 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 1.266 * [taylor]: Taking taylor expansion of +nan.0 in im 1.266 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 1.266 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.266 * [taylor]: Taking taylor expansion of 2.0 in im 1.267 * [taylor]: Taking taylor expansion of (pow im 6) in im 1.267 * [taylor]: Taking taylor expansion of im in im 1.290 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2 1) 1.290 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 1.290 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.290 * [taylor]: Taking taylor expansion of re in im 1.290 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.291 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.291 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.291 * [taylor]: Taking taylor expansion of (* re re) in im 1.291 * [taylor]: Taking taylor expansion of re in im 1.291 * [taylor]: Taking taylor expansion of re in im 1.291 * [taylor]: Taking taylor expansion of (* im im) in im 1.291 * [taylor]: Taking taylor expansion of im in im 1.291 * [taylor]: Taking taylor expansion of im in im 1.292 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.292 * [taylor]: Taking taylor expansion of re in re 1.292 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.292 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.292 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.292 * [taylor]: Taking taylor expansion of (* re re) in re 1.292 * [taylor]: Taking taylor expansion of re in re 1.292 * [taylor]: Taking taylor expansion of re in re 1.292 * [taylor]: Taking taylor expansion of (* im im) in re 1.292 * [taylor]: Taking taylor expansion of im in re 1.292 * [taylor]: Taking taylor expansion of im in re 1.293 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.293 * [taylor]: Taking taylor expansion of re in re 1.293 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.293 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.293 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.293 * [taylor]: Taking taylor expansion of (* re re) in re 1.293 * [taylor]: Taking taylor expansion of re in re 1.293 * [taylor]: Taking taylor expansion of re in re 1.293 * [taylor]: Taking taylor expansion of (* im im) in re 1.293 * [taylor]: Taking taylor expansion of im in re 1.293 * [taylor]: Taking taylor expansion of im in re 1.295 * [taylor]: Taking taylor expansion of im in im 1.295 * [taylor]: Taking taylor expansion of 1 in im 1.296 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.296 * [taylor]: Taking taylor expansion of 1/2 in im 1.296 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.296 * [taylor]: Taking taylor expansion of im in im 1.299 * [taylor]: Taking taylor expansion of 0 in im 1.300 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 1.300 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 1.300 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.300 * [taylor]: Taking taylor expansion of re in im 1.300 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.300 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.301 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.301 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.301 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.301 * [taylor]: Taking taylor expansion of re in im 1.301 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.301 * [taylor]: Taking taylor expansion of re in im 1.301 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.301 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.301 * [taylor]: Taking taylor expansion of im in im 1.301 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.301 * [taylor]: Taking taylor expansion of im in im 1.304 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.304 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.304 * [taylor]: Taking taylor expansion of re in re 1.304 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.304 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.304 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.304 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.304 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.304 * [taylor]: Taking taylor expansion of re in re 1.304 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.304 * [taylor]: Taking taylor expansion of re in re 1.305 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.305 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.305 * [taylor]: Taking taylor expansion of im in re 1.305 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.305 * [taylor]: Taking taylor expansion of im in re 1.307 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.307 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.307 * [taylor]: Taking taylor expansion of re in re 1.308 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.308 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.308 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.308 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.308 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.308 * [taylor]: Taking taylor expansion of re in re 1.308 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.308 * [taylor]: Taking taylor expansion of re in re 1.308 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.308 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.308 * [taylor]: Taking taylor expansion of im in re 1.308 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.308 * [taylor]: Taking taylor expansion of im in re 1.318 * [taylor]: Taking taylor expansion of 2 in im 1.319 * [taylor]: Taking taylor expansion of 0 in im 1.322 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.322 * [taylor]: Taking taylor expansion of 1/2 in im 1.322 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.322 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.322 * [taylor]: Taking taylor expansion of im in im 1.327 * [taylor]: Taking taylor expansion of 0 in im 1.328 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 1.328 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.328 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.329 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.329 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.329 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.329 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.329 * [taylor]: Taking taylor expansion of -1 in im 1.329 * [taylor]: Taking taylor expansion of re in im 1.329 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.329 * [taylor]: Taking taylor expansion of -1 in im 1.329 * [taylor]: Taking taylor expansion of re in im 1.329 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.329 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.329 * [taylor]: Taking taylor expansion of -1 in im 1.329 * [taylor]: Taking taylor expansion of im in im 1.329 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.329 * [taylor]: Taking taylor expansion of -1 in im 1.329 * [taylor]: Taking taylor expansion of im in im 1.332 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.332 * [taylor]: Taking taylor expansion of re in im 1.332 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.332 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.333 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.333 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.333 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.333 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.333 * [taylor]: Taking taylor expansion of -1 in re 1.333 * [taylor]: Taking taylor expansion of re in re 1.333 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.333 * [taylor]: Taking taylor expansion of -1 in re 1.333 * [taylor]: Taking taylor expansion of re in re 1.334 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.334 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.334 * [taylor]: Taking taylor expansion of -1 in re 1.334 * [taylor]: Taking taylor expansion of im in re 1.334 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.334 * [taylor]: Taking taylor expansion of -1 in re 1.334 * [taylor]: Taking taylor expansion of im in re 1.336 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.336 * [taylor]: Taking taylor expansion of 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 -1 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 -1 in re 1.337 * [taylor]: Taking taylor expansion of re in re 1.337 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.337 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.337 * [taylor]: Taking taylor expansion of -1 in re 1.337 * [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 -1 in re 1.338 * [taylor]: Taking taylor expansion of im in re 1.340 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.340 * [taylor]: Taking taylor expansion of re in re 1.341 * [taylor]: Taking taylor expansion of 0 in im 1.342 * [taylor]: Taking taylor expansion of 0 in im 1.345 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.345 * [taylor]: Taking taylor expansion of 1/2 in im 1.345 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.345 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.345 * [taylor]: Taking taylor expansion of im in im 1.350 * [taylor]: Taking taylor expansion of 0 in im 1.352 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2) 1.352 * [approximate]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in (re im) around 0 1.352 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 1.352 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.352 * [taylor]: Taking taylor expansion of re in im 1.352 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.352 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.352 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.352 * [taylor]: Taking taylor expansion of (* re re) in im 1.352 * [taylor]: Taking taylor expansion of re in im 1.352 * [taylor]: Taking taylor expansion of re in im 1.352 * [taylor]: Taking taylor expansion of (* im im) in im 1.352 * [taylor]: Taking taylor expansion of im in im 1.352 * [taylor]: Taking taylor expansion of im in im 1.354 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 1.354 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.354 * [taylor]: Taking taylor expansion of re in re 1.354 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.354 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.354 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.354 * [taylor]: Taking taylor expansion of (* re re) in re 1.354 * [taylor]: Taking taylor expansion of re in re 1.354 * [taylor]: Taking taylor expansion of re in re 1.354 * [taylor]: Taking taylor expansion of (* im im) in re 1.354 * [taylor]: Taking taylor expansion of im in re 1.354 * [taylor]: Taking taylor expansion of im in re 1.356 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 1.356 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.356 * [taylor]: Taking taylor expansion of re in re 1.356 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.356 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.356 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.356 * [taylor]: Taking taylor expansion of (* re re) in re 1.356 * [taylor]: Taking taylor expansion of re in re 1.356 * [taylor]: Taking taylor expansion of re in re 1.356 * [taylor]: Taking taylor expansion of (* im im) in re 1.356 * [taylor]: Taking taylor expansion of im in re 1.356 * [taylor]: Taking taylor expansion of im in re 1.357 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.357 * [taylor]: Taking taylor expansion of im in im 1.358 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 im))) in im 1.358 * [taylor]: Taking taylor expansion of 1/2 in im 1.359 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.359 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.359 * [taylor]: Taking taylor expansion of im in im 1.363 * [taylor]: Taking taylor expansion of (* 1/8 (sqrt (/ 1 (pow im 3)))) in im 1.363 * [taylor]: Taking taylor expansion of 1/8 in im 1.363 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 1.363 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 1.363 * [taylor]: Taking taylor expansion of (pow im 3) in im 1.363 * [taylor]: Taking taylor expansion of im in im 1.370 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in (re im) around 0 1.370 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 1.370 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 1.370 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.370 * [taylor]: Taking taylor expansion of re in im 1.370 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.370 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.370 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.370 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.370 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.370 * [taylor]: Taking taylor expansion of re in im 1.370 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.370 * [taylor]: Taking taylor expansion of re in im 1.370 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.370 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.370 * [taylor]: Taking taylor expansion of im in im 1.370 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.370 * [taylor]: Taking taylor expansion of im in im 1.375 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 1.375 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.375 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.375 * [taylor]: Taking taylor expansion of re in re 1.375 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.375 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.375 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.375 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.375 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.375 * [taylor]: Taking taylor expansion of re in re 1.375 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.375 * [taylor]: Taking taylor expansion of re in re 1.376 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.376 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.376 * [taylor]: Taking taylor expansion of im in re 1.376 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.376 * [taylor]: Taking taylor expansion of im in re 1.380 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 1.380 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.380 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.380 * [taylor]: Taking taylor expansion of re in re 1.380 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.380 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.380 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.380 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.380 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.380 * [taylor]: Taking taylor expansion of re in re 1.380 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.380 * [taylor]: Taking taylor expansion of re in re 1.381 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.381 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.381 * [taylor]: Taking taylor expansion of im in re 1.381 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.381 * [taylor]: Taking taylor expansion of im in re 1.384 * [taylor]: Taking taylor expansion of 0 in im 1.385 * [taylor]: Taking taylor expansion of +nan.0 in im 1.387 * [taylor]: Taking taylor expansion of +nan.0 in im 1.391 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 1.391 * [taylor]: Taking taylor expansion of +nan.0 in im 1.391 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 1.391 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.391 * [taylor]: Taking taylor expansion of 1/2 in im 1.391 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.391 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.391 * [taylor]: Taking taylor expansion of im in im 1.392 * [taylor]: Taking taylor expansion of +nan.0 in im 1.398 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 1.398 * [taylor]: Taking taylor expansion of +nan.0 in im 1.398 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 1.398 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 1.398 * [taylor]: Taking taylor expansion of +nan.0 in im 1.398 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.398 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.398 * [taylor]: Taking taylor expansion of im in im 1.399 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.399 * [taylor]: Taking taylor expansion of +nan.0 in im 1.413 * [approximate]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in (re im) around 0 1.413 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 1.413 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.413 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.413 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.413 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.413 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.413 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.413 * [taylor]: Taking taylor expansion of -1 in im 1.413 * [taylor]: Taking taylor expansion of re in im 1.413 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.413 * [taylor]: Taking taylor expansion of -1 in im 1.413 * [taylor]: Taking taylor expansion of re in im 1.413 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.413 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.413 * [taylor]: Taking taylor expansion of -1 in im 1.413 * [taylor]: Taking taylor expansion of im in im 1.414 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.414 * [taylor]: Taking taylor expansion of -1 in im 1.414 * [taylor]: Taking taylor expansion of im in im 1.416 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.416 * [taylor]: Taking taylor expansion of re in im 1.418 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.418 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.418 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.418 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.418 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.418 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.418 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.418 * [taylor]: Taking taylor expansion of -1 in re 1.418 * [taylor]: Taking taylor expansion of re in re 1.418 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.418 * [taylor]: Taking taylor expansion of -1 in re 1.418 * [taylor]: Taking taylor expansion of re in re 1.419 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.419 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.419 * [taylor]: Taking taylor expansion of -1 in re 1.419 * [taylor]: Taking taylor expansion of im in re 1.419 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.419 * [taylor]: Taking taylor expansion of -1 in re 1.419 * [taylor]: Taking taylor expansion of im in re 1.421 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.421 * [taylor]: Taking taylor expansion of re in re 1.427 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.427 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.427 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.427 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.427 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.427 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.427 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.427 * [taylor]: Taking taylor expansion of -1 in re 1.427 * [taylor]: Taking taylor expansion of re in re 1.428 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.428 * [taylor]: Taking taylor expansion of -1 in re 1.428 * [taylor]: Taking taylor expansion of re in re 1.428 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.428 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.428 * [taylor]: Taking taylor expansion of -1 in re 1.428 * [taylor]: Taking taylor expansion of im in re 1.428 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.428 * [taylor]: Taking taylor expansion of -1 in re 1.428 * [taylor]: Taking taylor expansion of im in re 1.431 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.431 * [taylor]: Taking taylor expansion of re in re 1.436 * [taylor]: Taking taylor expansion of 0 in im 1.436 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 2)) in im 1.436 * [taylor]: Taking taylor expansion of +nan.0 in im 1.436 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.436 * [taylor]: Taking taylor expansion of im in im 1.442 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 4)) in im 1.442 * [taylor]: Taking taylor expansion of +nan.0 in im 1.442 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.442 * [taylor]: Taking taylor expansion of im in im 1.452 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6)))))) in im 1.452 * [taylor]: Taking taylor expansion of +nan.0 in im 1.452 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))) in im 1.452 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow im 4))) in im 1.452 * [taylor]: Taking taylor expansion of 1/8 in im 1.452 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 1.452 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.452 * [taylor]: Taking taylor expansion of im in im 1.453 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow im 6)))) in im 1.453 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 6))) in im 1.453 * [taylor]: Taking taylor expansion of +nan.0 in im 1.453 * [taylor]: Taking taylor expansion of (/ 1 (pow im 6)) in im 1.453 * [taylor]: Taking taylor expansion of (pow im 6) in im 1.453 * [taylor]: Taking taylor expansion of im in im 1.477 * * * [progress]: simplifying candidates 1.478 * [simplify]: Simplifying using # : (expm1 (* (sqrt 2.0) (sqrt (+ (* 1 (hypot re im)) re)))) (log1p (* (sqrt 2.0) (sqrt (+ (* 1 (hypot re im)) re)))) (* 2.0 (+ (* 1 (hypot re im)) re)) (* (sqrt 2.0) (sqrt (+ (* 1 (hypot re im)) re))) (* 2.0 (+ (* 1 (hypot re im)) re)) (+ (log (sqrt 2.0)) (log (sqrt (+ (* 1 (hypot re im)) re)))) (log (* (sqrt 2.0) (sqrt (+ (* 1 (hypot re im)) re)))) (exp (* (sqrt 2.0) (sqrt (+ (* 1 (hypot re im)) re)))) (* (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re))) (sqrt (+ (* 1 (hypot re im)) re)))) (* (cbrt (* (sqrt 2.0) (sqrt (+ (* 1 (hypot re im)) re)))) (cbrt (* (sqrt 2.0) (sqrt (+ (* 1 (hypot re im)) re))))) (cbrt (* (sqrt 2.0) (sqrt (+ (* 1 (hypot re im)) re)))) (* (* (* (sqrt 2.0) (sqrt (+ (* 1 (hypot re im)) re))) (* (sqrt 2.0) (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt 2.0) (sqrt (+ (* 1 (hypot re im)) re)))) (* 2.0 (+ (* 1 (hypot re im)) re)) (sqrt (* (sqrt 2.0) (sqrt (+ (* 1 (hypot re im)) re)))) (sqrt (* (sqrt 2.0) (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt 2.0) (* (cbrt (sqrt (+ (* 1 (hypot re im)) re))) (cbrt (sqrt (+ (* 1 (hypot re im)) re))))) (* (sqrt 2.0) (sqrt (* (cbrt (+ (* 1 (hypot re im)) re)) (cbrt (+ (* 1 (hypot re im)) re))))) (* (sqrt 2.0) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt 2.0) (sqrt 1)) (* (sqrt 2.0) (sqrt 1)) (* (sqrt 2.0) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt 2.0) 1) (* (cbrt (sqrt 2.0)) (sqrt (+ (* 1 (hypot re im)) re))) (* (sqrt (cbrt 2.0)) (sqrt (+ (* 1 (hypot re im)) re))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* 1 (hypot re im)) re))) (* (sqrt 2.0) (sqrt (+ (* 1 (hypot re im)) re))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* 1 (hypot re im)) re))) (* (sqrt 2.0) (sqrt (+ (* 1 (hypot re im)) re))) (* (sqrt 2.0) (sqrt (+ (pow (* 1 (hypot re im)) 3) (pow re 3)))) (* (sqrt 2.0) (sqrt (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re)))) (expm1 (+ (* 1 (hypot re im)) re)) (log1p (+ (* 1 (hypot re im)) re)) (* (exp (* 1 (hypot re im))) (exp re)) (log (+ (* 1 (hypot re im)) re)) (exp (+ (* 1 (hypot re im)) re)) (* (cbrt (+ (* 1 (hypot re im)) re)) (cbrt (+ (* 1 (hypot re im)) re))) (cbrt (+ (* 1 (hypot re im)) re)) (* (* (+ (* 1 (hypot re im)) re) (+ (* 1 (hypot re im)) re)) (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)) (+ (pow (* 1 (hypot re im)) 3) (pow re 3)) (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (- (* re re) (* (* 1 (hypot re im)) re))) (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re)) (- (* 1 (hypot re im)) re) (+ (hypot re im) re) (expm1 (sqrt (+ (* 1 (hypot re im)) re))) (log1p (sqrt (+ (* 1 (hypot re im)) re))) (log (sqrt (+ (* 1 (hypot re im)) re))) (exp (sqrt (+ (* 1 (hypot re im)) re))) (* (cbrt (sqrt (+ (* 1 (hypot re im)) re))) (cbrt (sqrt (+ (* 1 (hypot re im)) re)))) (cbrt (sqrt (+ (* 1 (hypot re im)) re))) (* (* (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re))) (sqrt (+ (* 1 (hypot re im)) re))) (sqrt (* (cbrt (+ (* 1 (hypot re im)) re)) (cbrt (+ (* 1 (hypot re im)) re)))) (sqrt (cbrt (+ (* 1 (hypot re im)) re))) (sqrt (sqrt (+ (* 1 (hypot re im)) re))) (sqrt (sqrt (+ (* 1 (hypot re im)) re))) (sqrt 1) (sqrt (+ (* 1 (hypot re im)) re)) (sqrt 1) (sqrt (+ (hypot re im) re)) (sqrt (+ (pow (* 1 (hypot re im)) 3) (pow re 3))) (sqrt (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (- (* re re) (* (* 1 (hypot re im)) re)))) (sqrt (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re))) (sqrt (- (* 1 (hypot re im)) re)) (/ 1 2) (sqrt (sqrt (+ (* 1 (hypot re im)) re))) (sqrt (sqrt (+ (* 1 (hypot re im)) re))) (- (+ (* +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 (+ re im) (* 2 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 1.484 * * [simplify]: iteration 0 : 309 enodes (cost 503 ) 1.490 * * [simplify]: iteration 1 : 1095 enodes (cost 448 ) 1.514 * * [simplify]: iteration 2 : 5002 enodes (cost 438 ) 1.522 * [simplify]: Simplified to: (expm1 (* (sqrt 2.0) (sqrt (+ (* 1 (hypot re im)) re)))) (log1p (* (sqrt 2.0) (sqrt (+ (* 1 (hypot re im)) re)))) (* 2.0 (fma 1 (hypot re im) re)) (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) (* 2.0 (fma 1 (hypot re im) re)) (log (* (sqrt 2.0) (sqrt (+ (* 1 (hypot re im)) re)))) (log (* (sqrt 2.0) (sqrt (+ (* 1 (hypot re im)) re)))) (pow (exp (sqrt (+ (hypot re im) re))) (sqrt 2.0)) (pow (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) 3) (* (cbrt (* (sqrt 2.0) (sqrt (+ (* 1 (hypot re im)) re)))) (cbrt (* (sqrt 2.0) (sqrt (+ (* 1 (hypot re im)) re))))) (cbrt (* (sqrt 2.0) (sqrt (+ (* 1 (hypot re im)) re)))) (pow (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) 3) (* 2.0 (fma 1 (hypot re im) re)) (sqrt (* (sqrt 2.0) (sqrt (+ (* 1 (hypot re im)) re)))) (sqrt (* (sqrt 2.0) (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (* (sqrt 2.0) (* (cbrt (sqrt (+ (* 1 (hypot re im)) re))) (cbrt (sqrt (+ (* 1 (hypot re im)) re))))) (* (fabs (cbrt (+ (* 1 (hypot re im)) re))) (sqrt 2.0)) (* (sqrt 2.0) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (sqrt 2.0) (sqrt 2.0) (* (sqrt 2.0) (sqrt (sqrt (+ (* 1 (hypot re im)) re)))) (sqrt 2.0) (* (cbrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))) (* (sqrt (cbrt 2.0)) (sqrt (+ (hypot re im) re))) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))) (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))) (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) (* (sqrt 2.0) (hypot (pow re 3/2) (pow (hypot re im) 3/2))) (* (sqrt 2.0) (sqrt (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re)))) (expm1 (+ (* 1 (hypot re im)) re)) (log1p (+ (* 1 (hypot re im)) re)) (exp (+ re (hypot re im))) (log (+ (* 1 (hypot re im)) re)) (exp (+ re (hypot re im))) (* (cbrt (+ (* 1 (hypot re im)) re)) (cbrt (+ (* 1 (hypot re im)) re))) (cbrt (+ (* 1 (hypot re im)) re)) (pow (fma 1 (hypot re im) re) 3) (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (fma (pow re 2) re (pow (hypot re im) 3)) (fma re (- re (hypot re im)) (* (hypot re im) (hypot re im))) (fma (hypot re im) (hypot re im) (- (pow re 2))) (- (hypot re im) re) (fma 1 (hypot re im) re) (expm1 (sqrt (+ (* 1 (hypot re im)) re))) (log1p (sqrt (+ (* 1 (hypot re im)) re))) (log (sqrt (+ (hypot re im) re))) (exp (sqrt (+ (hypot re im) re))) (* (cbrt (sqrt (+ (* 1 (hypot re im)) re))) (cbrt (sqrt (+ (* 1 (hypot re im)) re)))) (cbrt (sqrt (+ (* 1 (hypot re im)) re))) (pow (sqrt (+ (hypot re im) re)) 3) (fabs (cbrt (+ (* 1 (hypot re im)) re))) (sqrt (cbrt (+ (* 1 (hypot re im)) re))) (sqrt (sqrt (+ (* 1 (hypot re im)) re))) (sqrt (sqrt (+ (* 1 (hypot re im)) re))) 1 (sqrt (+ (hypot re im) re)) 1 (sqrt (+ (hypot re im) re)) (hypot (pow re 3/2) (pow (hypot re im) 3/2)) (sqrt (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (- (* re re) (* (* 1 (hypot re im)) re)))) (sqrt (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re))) (sqrt (- (* 1 (hypot re im)) re)) 1/2 (sqrt (sqrt (+ (* 1 (hypot re im)) re))) (sqrt (sqrt (+ (* 1 (hypot re im)) re))) (* (* +nan.0 (sqrt 2.0)) (+ (- (* re re)) (- im re))) (fma (- (sqrt 2.0)) +nan.0 (* +nan.0 (- (/ (sqrt 2.0) (pow re 2)) (/ (sqrt 2.0) re)))) 0 (+ re im) (* 2 re) 0 (fma (- (* re re)) +nan.0 (* +nan.0 (- im re))) (+ (/ +nan.0 re) (- (fma +nan.0 1 (/ +nan.0 (pow re 2))))) 0 1.523 * * * [progress]: adding candidates to table 1.724 * * [progress]: iteration 4 / 4 1.724 * * * [progress]: picking best candidate 1.737 * * * * [pick]: Picked # 1.737 * * * [progress]: localizing error 1.750 * * * [progress]: generating rewritten candidates 1.750 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1) 1.751 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2) 1.755 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1) 1.756 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2 1) 1.759 * * * [progress]: generating series expansions 1.759 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1) 1.760 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2) 1.760 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1) 1.760 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2 1) 1.760 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 1.760 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.760 * [taylor]: Taking taylor expansion of re in im 1.760 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.760 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.760 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.760 * [taylor]: Taking taylor expansion of (* re re) in im 1.760 * [taylor]: Taking taylor expansion of re in im 1.760 * [taylor]: Taking taylor expansion of re in im 1.760 * [taylor]: Taking taylor expansion of (* im im) in im 1.760 * [taylor]: Taking taylor expansion of im in im 1.760 * [taylor]: Taking taylor expansion of im in im 1.761 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.761 * [taylor]: Taking taylor expansion of re in re 1.761 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.762 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.762 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.762 * [taylor]: Taking taylor expansion of (* re re) in re 1.762 * [taylor]: Taking taylor expansion of re in re 1.762 * [taylor]: Taking taylor expansion of re in re 1.762 * [taylor]: Taking taylor expansion of (* im im) in re 1.762 * [taylor]: Taking taylor expansion of im in re 1.762 * [taylor]: Taking taylor expansion of im in re 1.763 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.763 * [taylor]: Taking taylor expansion of re in re 1.763 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.763 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.763 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.763 * [taylor]: Taking taylor expansion of (* re re) in re 1.763 * [taylor]: Taking taylor expansion of re in re 1.763 * [taylor]: Taking taylor expansion of re in re 1.763 * [taylor]: Taking taylor expansion of (* im im) in re 1.763 * [taylor]: Taking taylor expansion of im in re 1.763 * [taylor]: Taking taylor expansion of im in re 1.764 * [taylor]: Taking taylor expansion of im in im 1.765 * [taylor]: Taking taylor expansion of 1 in im 1.766 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.766 * [taylor]: Taking taylor expansion of 1/2 in im 1.766 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.766 * [taylor]: Taking taylor expansion of im in im 1.769 * [taylor]: Taking taylor expansion of 0 in im 1.770 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 1.770 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 1.770 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.770 * [taylor]: Taking taylor expansion of re in im 1.770 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.770 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.770 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.770 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.770 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.770 * [taylor]: Taking taylor expansion of re in im 1.770 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.770 * [taylor]: Taking taylor expansion of re in im 1.770 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.770 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.770 * [taylor]: Taking taylor expansion of im in im 1.771 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.771 * [taylor]: Taking taylor expansion of im in im 1.773 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.774 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.774 * [taylor]: Taking taylor expansion of re in re 1.774 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.774 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.774 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.774 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.774 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.774 * [taylor]: Taking taylor expansion of re in re 1.774 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.774 * [taylor]: Taking taylor expansion of re in re 1.774 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.775 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.775 * [taylor]: Taking taylor expansion of im in re 1.775 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.775 * [taylor]: Taking taylor expansion of im in re 1.777 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.777 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.777 * [taylor]: Taking taylor expansion of re in re 1.778 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.778 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.778 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.778 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.778 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.778 * [taylor]: Taking taylor expansion of re in re 1.778 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.778 * [taylor]: Taking taylor expansion of re in re 1.778 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.778 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.778 * [taylor]: Taking taylor expansion of im in re 1.778 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.778 * [taylor]: Taking taylor expansion of im in re 1.781 * [taylor]: Taking taylor expansion of 2 in im 1.782 * [taylor]: Taking taylor expansion of 0 in im 1.785 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.785 * [taylor]: Taking taylor expansion of 1/2 in im 1.785 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.785 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.785 * [taylor]: Taking taylor expansion of im in im 1.790 * [taylor]: Taking taylor expansion of 0 in im 1.791 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 1.791 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.791 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.791 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.792 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.792 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.792 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.792 * [taylor]: Taking taylor expansion of -1 in im 1.792 * [taylor]: Taking taylor expansion of re in im 1.792 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.792 * [taylor]: Taking taylor expansion of -1 in im 1.792 * [taylor]: Taking taylor expansion of re in im 1.792 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.792 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.792 * [taylor]: Taking taylor expansion of -1 in im 1.792 * [taylor]: Taking taylor expansion of im in im 1.792 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.792 * [taylor]: Taking taylor expansion of -1 in im 1.792 * [taylor]: Taking taylor expansion of im in im 1.795 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.795 * [taylor]: Taking taylor expansion of re in im 1.795 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.795 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.795 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.795 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.795 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.795 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.795 * [taylor]: Taking taylor expansion of -1 in re 1.795 * [taylor]: Taking taylor expansion of re in re 1.796 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.796 * [taylor]: Taking taylor expansion of -1 in re 1.796 * [taylor]: Taking taylor expansion of re in re 1.796 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.796 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.796 * [taylor]: Taking taylor expansion of -1 in re 1.796 * [taylor]: Taking taylor expansion of im in re 1.796 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.796 * [taylor]: Taking taylor expansion of -1 in re 1.796 * [taylor]: Taking taylor expansion of im in re 1.799 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.799 * [taylor]: Taking taylor expansion of re in re 1.799 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.799 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.799 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.799 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.799 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.799 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.799 * [taylor]: Taking taylor expansion of -1 in re 1.799 * [taylor]: Taking taylor expansion of re in re 1.800 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.800 * [taylor]: Taking taylor expansion of -1 in re 1.800 * [taylor]: Taking taylor expansion of re in re 1.800 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.800 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.800 * [taylor]: Taking taylor expansion of -1 in re 1.800 * [taylor]: Taking taylor expansion of im in re 1.800 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.800 * [taylor]: Taking taylor expansion of -1 in re 1.800 * [taylor]: Taking taylor expansion of im in re 1.803 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.803 * [taylor]: Taking taylor expansion of re in re 1.804 * [taylor]: Taking taylor expansion of 0 in im 1.804 * [taylor]: Taking taylor expansion of 0 in im 1.808 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.808 * [taylor]: Taking taylor expansion of 1/2 in im 1.808 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.808 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.808 * [taylor]: Taking taylor expansion of im in im 1.813 * [taylor]: Taking taylor expansion of 0 in im 1.814 * * * [progress]: simplifying candidates 1.815 * [simplify]: Simplifying using # : (expm1 (cbrt 2.0)) (log1p (cbrt 2.0)) (log (cbrt 2.0)) (exp (cbrt 2.0)) (cbrt (* (cbrt 2.0) (cbrt 2.0))) (cbrt (cbrt 2.0)) (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)) (cbrt 1) (cbrt 2.0) (* (cbrt (cbrt 2.0)) (cbrt (cbrt 2.0))) (cbrt (cbrt 2.0)) (* (* (cbrt 2.0) (cbrt 2.0)) (cbrt 2.0)) (sqrt (cbrt 2.0)) (sqrt (cbrt 2.0)) (expm1 (cbrt 2.0)) (log1p (cbrt 2.0)) (log (cbrt 2.0)) (exp (cbrt 2.0)) (cbrt (* (cbrt 2.0) (cbrt 2.0))) (cbrt (cbrt 2.0)) (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)) (cbrt 1) (cbrt 2.0) (* (cbrt (cbrt 2.0)) (cbrt (cbrt 2.0))) (cbrt (cbrt 2.0)) (* (* (cbrt 2.0) (cbrt 2.0)) (cbrt 2.0)) (sqrt (cbrt 2.0)) (sqrt (cbrt 2.0)) (expm1 (cbrt 2.0)) (log1p (cbrt 2.0)) (log (cbrt 2.0)) (exp (cbrt 2.0)) (cbrt (* (cbrt 2.0) (cbrt 2.0))) (cbrt (cbrt 2.0)) (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)) (cbrt 1) (cbrt 2.0) (* (cbrt (cbrt 2.0)) (cbrt (cbrt 2.0))) (cbrt (cbrt 2.0)) (* (* (cbrt 2.0) (cbrt 2.0)) (cbrt 2.0)) (sqrt (cbrt 2.0)) (sqrt (cbrt 2.0)) (expm1 (+ (hypot re im) re)) (log1p (+ (hypot re im) re)) (* (exp (hypot re im)) (exp re)) (log (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))) (cbrt (+ (hypot re im) re)) (* (* (+ (hypot re im) re) (+ (hypot re im) re)) (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (+ (pow (hypot re im) 3) (pow re 3)) (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re))) (- (* (hypot re im) (hypot re im)) (* re re)) (- (hypot re im) re) (+ (hypot re im) re) (* 0.5 (* (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (sqrt (cbrt 2.0)) (sqrt (+ (hypot re im) re))))) (* 0.5 (* (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (sqrt (cbrt 2.0)) (sqrt (+ (hypot re im) re))))) (* 0.5 (* (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (sqrt (cbrt 2.0)) (sqrt (+ (hypot re im) re))))) (+ re im) (* 2 re) 0 1.819 * * [simplify]: iteration 0 : 105 enodes (cost 199 ) 1.821 * * [simplify]: iteration 1 : 216 enodes (cost 184 ) 1.825 * * [simplify]: iteration 2 : 441 enodes (cost 178 ) 1.831 * * [simplify]: iteration 3 : 1063 enodes (cost 177 ) 1.849 * * [simplify]: iteration 4 : 3191 enodes (cost 177 ) 1.889 * * [simplify]: iteration 5 : 5001 enodes (cost 177 ) 1.890 * [simplify]: Simplified to: (expm1 (cbrt 2.0)) (log1p (cbrt 2.0)) (log (cbrt 2.0)) (exp (cbrt 2.0)) (cbrt (* (cbrt 2.0) (cbrt 2.0))) (cbrt (cbrt 2.0)) (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)) (cbrt 1) (cbrt 2.0) (* (cbrt (cbrt 2.0)) (cbrt (cbrt 2.0))) (cbrt (cbrt 2.0)) 2.0 (sqrt (cbrt 2.0)) (sqrt (cbrt 2.0)) (expm1 (cbrt 2.0)) (log1p (cbrt 2.0)) (log (cbrt 2.0)) (exp (cbrt 2.0)) (cbrt (* (cbrt 2.0) (cbrt 2.0))) (cbrt (cbrt 2.0)) (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)) (cbrt 1) (cbrt 2.0) (* (cbrt (cbrt 2.0)) (cbrt (cbrt 2.0))) (cbrt (cbrt 2.0)) 2.0 (sqrt (cbrt 2.0)) (sqrt (cbrt 2.0)) (expm1 (cbrt 2.0)) (log1p (cbrt 2.0)) (log (cbrt 2.0)) (exp (cbrt 2.0)) (cbrt (* (cbrt 2.0) (cbrt 2.0))) (cbrt (cbrt 2.0)) (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)) (cbrt 1) (cbrt 2.0) (* (cbrt (cbrt 2.0)) (cbrt (cbrt 2.0))) (cbrt (cbrt 2.0)) 2.0 (sqrt (cbrt 2.0)) (sqrt (cbrt 2.0)) (expm1 (+ (hypot re im) re)) (log1p (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (log (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))) (cbrt (+ (hypot re im) re)) (pow (+ (hypot re im) re) 3) (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (+ (pow (hypot re im) 3) (pow re 3)) (fma (hypot re im) (- (hypot re im) re) (* re re)) (- (* (hypot re im) (hypot re im)) (* re re)) (- (hypot re im) re) (+ (hypot re im) re) (* (* 0.5 (fabs (cbrt 2.0))) (* (sqrt (cbrt 2.0)) (sqrt (+ (hypot re im) re)))) (* (* 0.5 (fabs (cbrt 2.0))) (* (sqrt (cbrt 2.0)) (sqrt (+ (hypot re im) re)))) (* (* 0.5 (fabs (cbrt 2.0))) (* (sqrt (cbrt 2.0)) (sqrt (+ (hypot re im) re)))) (+ re im) (* 2 re) 0 1.890 * * * [progress]: adding candidates to table 2.101 * [progress]: [Phase 3 of 3] Extracting. 2.101 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 2.104 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re) 2.104 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # # #) 2.149 * * * * [regimes]: Trying to branch on (* im im) from (# #) 2.161 * * * * [regimes]: Trying to branch on im from (# # # # # # # # #) 2.227 * * * * [regimes]: Trying to branch on re from (# # # # # # # # #) 2.281 * * * [regime]: Found split indices: #