9.648 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.039 * * * [progress]: [2/2] Setting up program. 0.042 * [progress]: [Phase 2 of 3] Improving. 0.042 * [simplify]: Simplifying using # : (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.042 * [simplify]: Sending expressions to egg_math: (* h0 (sqrt (* h1 (+ (sqrt (+ (* h2 h2) (* h3 h3))) h2)))) 0.044 * * [simplify]: iteration 0 : 24 enodes (cost 8 ) 0.046 * * [simplify]: iteration 1 : 30 enodes (cost 8 ) 0.047 * * [simplify]: iteration 2 : 33 enodes (cost 8 ) 0.048 * * [simplify]: iteration 3 : 33 enodes (cost 8 ) 0.049 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.049 * * [progress]: iteration 1 / 4 0.049 * * * [progress]: picking best candidate 0.051 * * * * [pick]: Picked # 0.051 * * * [progress]: localizing error 0.064 * * * [progress]: generating rewritten candidates 0.064 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.073 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.106 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 2 1 1) 0.116 * * * [progress]: generating series expansions 0.116 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.117 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.117 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.117 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.117 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.117 * [taylor]: Taking taylor expansion of re in im 0.117 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.117 * [taylor]: Taking taylor expansion of im in im 0.117 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.118 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.118 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.118 * [taylor]: Taking taylor expansion of re in re 0.118 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.118 * [taylor]: Taking taylor expansion of im in re 0.118 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.118 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.118 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.118 * [taylor]: Taking taylor expansion of re in re 0.118 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.118 * [taylor]: Taking taylor expansion of im in re 0.119 * [taylor]: Taking taylor expansion of im in im 0.119 * [taylor]: Taking taylor expansion of 0 in im 0.120 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.120 * [taylor]: Taking taylor expansion of 1/2 in im 0.120 * [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 (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 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 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.126 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.126 * [taylor]: Taking taylor expansion of re in im 0.128 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.128 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.128 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.128 * [taylor]: Taking taylor expansion of im in re 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.128 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.128 * [taylor]: Taking taylor expansion of re in re 0.130 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.130 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.130 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.130 * [taylor]: Taking taylor expansion of im in re 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.131 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.131 * [taylor]: Taking taylor expansion of re in re 0.133 * [taylor]: Taking taylor expansion of 1 in im 0.133 * [taylor]: Taking taylor expansion of 0 in im 0.134 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.135 * [taylor]: Taking taylor expansion of 1/2 in im 0.135 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.135 * [taylor]: Taking taylor expansion of im in im 0.137 * [taylor]: Taking taylor expansion of 0 in im 0.139 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.139 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.139 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.139 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.139 * [taylor]: Taking taylor expansion of im in im 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.139 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.139 * [taylor]: Taking taylor expansion of re in im 0.141 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.141 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.141 * [taylor]: Taking taylor expansion of im in re 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.141 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.141 * [taylor]: Taking taylor expansion of re in re 0.143 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.143 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.143 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.143 * [taylor]: Taking taylor expansion of im in re 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.144 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.144 * [taylor]: Taking taylor expansion of re in re 0.146 * [taylor]: Taking taylor expansion of 1 in im 0.146 * [taylor]: Taking taylor expansion of 0 in im 0.147 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.147 * [taylor]: Taking taylor expansion of 1/2 in im 0.147 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.147 * [taylor]: Taking taylor expansion of im in im 0.150 * [taylor]: Taking taylor expansion of 0 in im 0.151 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 0.152 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 0.152 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.152 * [taylor]: Taking taylor expansion of re in im 0.152 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.152 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.152 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.152 * [taylor]: Taking taylor expansion of re in im 0.152 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.152 * [taylor]: Taking taylor expansion of im in im 0.152 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.152 * [taylor]: Taking taylor expansion of re in re 0.152 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.152 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.152 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.152 * [taylor]: Taking taylor expansion of re in re 0.152 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.152 * [taylor]: Taking taylor expansion of im in re 0.153 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.153 * [taylor]: Taking taylor expansion of re in re 0.153 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.153 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.153 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.153 * [taylor]: Taking taylor expansion of re in re 0.153 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.153 * [taylor]: Taking taylor expansion of im in re 0.154 * [taylor]: Taking taylor expansion of im in im 0.154 * [taylor]: Taking taylor expansion of 1 in im 0.155 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.155 * [taylor]: Taking taylor expansion of 1/2 in im 0.155 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.155 * [taylor]: Taking taylor expansion of im in im 0.157 * [taylor]: Taking taylor expansion of 0 in im 0.158 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.158 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.158 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.158 * [taylor]: Taking taylor expansion of re in im 0.158 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.159 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.159 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.159 * [taylor]: Taking taylor expansion of im in im 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.159 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.159 * [taylor]: Taking taylor expansion of re in im 0.161 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.161 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.161 * [taylor]: Taking taylor expansion of re in re 0.161 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.161 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.161 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.161 * [taylor]: Taking taylor expansion of im in re 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.161 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.161 * [taylor]: Taking taylor expansion of re in re 0.163 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.163 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.164 * [taylor]: Taking taylor expansion of re in re 0.164 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.164 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.164 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.164 * [taylor]: Taking taylor expansion of im in re 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.164 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.164 * [taylor]: Taking taylor expansion of re in re 0.166 * [taylor]: Taking taylor expansion of 2 in im 0.167 * [taylor]: Taking taylor expansion of 0 in im 0.169 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.169 * [taylor]: Taking taylor expansion of 1/2 in im 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.169 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.169 * [taylor]: Taking taylor expansion of im in im 0.173 * [taylor]: Taking taylor expansion of 0 in im 0.175 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.175 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.175 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.175 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.175 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.175 * [taylor]: Taking taylor expansion of im in im 0.176 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.176 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.176 * [taylor]: Taking taylor expansion of re in im 0.177 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.177 * [taylor]: Taking taylor expansion of re in im 0.177 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.177 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.177 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.177 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.177 * [taylor]: Taking taylor expansion of im in re 0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.178 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.178 * [taylor]: Taking taylor expansion of re in re 0.180 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.180 * [taylor]: Taking taylor expansion of re in re 0.180 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.180 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.180 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.180 * [taylor]: Taking taylor expansion of im in re 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.180 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.180 * [taylor]: Taking taylor expansion of re in re 0.182 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.182 * [taylor]: Taking taylor expansion of re in re 0.183 * [taylor]: Taking taylor expansion of 0 in im 0.184 * [taylor]: Taking taylor expansion of 0 in im 0.187 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.187 * [taylor]: Taking taylor expansion of 1/2 in im 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.187 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.187 * [taylor]: Taking taylor expansion of im in im 0.191 * [taylor]: Taking taylor expansion of 0 in im 0.192 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 2 1 1) 0.192 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.192 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.192 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.192 * [taylor]: Taking taylor expansion of re in im 0.192 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.192 * [taylor]: Taking taylor expansion of im in im 0.192 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.192 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.192 * [taylor]: Taking taylor expansion of re in re 0.192 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.192 * [taylor]: Taking taylor expansion of im in re 0.192 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.192 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.192 * [taylor]: Taking taylor expansion of re in re 0.192 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.193 * [taylor]: Taking taylor expansion of im in re 0.193 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.193 * [taylor]: Taking taylor expansion of im in im 0.193 * [taylor]: Taking taylor expansion of 0 in im 0.194 * [taylor]: Taking taylor expansion of 1 in im 0.195 * [taylor]: Taking taylor expansion of 0 in im 0.197 * [taylor]: Taking taylor expansion of 0 in im 0.197 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.197 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.197 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.197 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.197 * [taylor]: Taking taylor expansion of im in im 0.197 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.197 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.197 * [taylor]: Taking taylor expansion of re in im 0.198 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.198 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.198 * [taylor]: Taking taylor expansion of im in re 0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.198 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.198 * [taylor]: Taking taylor expansion of re in re 0.198 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.198 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.198 * [taylor]: Taking taylor expansion of im in re 0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.198 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.198 * [taylor]: Taking taylor expansion of re in re 0.199 * [taylor]: Taking taylor expansion of 1 in im 0.200 * [taylor]: Taking taylor expansion of 0 in im 0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.201 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.201 * [taylor]: Taking taylor expansion of im in im 0.203 * [taylor]: Taking taylor expansion of 0 in im 0.205 * [taylor]: Taking taylor expansion of 0 in im 0.207 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 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 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.207 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.207 * [taylor]: Taking taylor expansion of re in im 0.207 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.207 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.207 * [taylor]: Taking taylor expansion of im in re 0.208 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.208 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.208 * [taylor]: Taking taylor expansion of re in re 0.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.208 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.208 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.208 * [taylor]: Taking taylor expansion of im in re 0.208 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.208 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.208 * [taylor]: Taking taylor expansion of re in re 0.212 * [taylor]: Taking taylor expansion of 1 in im 0.213 * [taylor]: Taking taylor expansion of 0 in im 0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.214 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.214 * [taylor]: Taking taylor expansion of im in im 0.215 * [taylor]: Taking taylor expansion of 0 in im 0.218 * [taylor]: Taking taylor expansion of 0 in im 0.219 * * * [progress]: simplifying candidates 0.220 * [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 (+ (* re re) (* im im))) (log1p (+ (* re re) (* im im))) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) im re (* -1 re) (+ re im) (* 2 re) 0 (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 0.220 * [simplify]: Sending expressions to egg_math: (expm1 (sqrt (+ (* h0 h0) (* h1 h1)))) (log1p (sqrt (+ (* h0 h0) (* h1 h1)))) (log (sqrt (+ (* h0 h0) (* h1 h1)))) (exp (sqrt (+ (* h0 h0) (* h1 h1)))) (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt 1) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (sqrt (- (* h0 h0) (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (expm1 (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (log1p (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (* (exp (sqrt (+ (* h0 h0) (* h1 h1)))) (exp h0)) (log (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (exp (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (* (cbrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (cbrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (cbrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (* (* (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (sqrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (sqrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (+ (pow (sqrt (+ (* h0 h0) (* h1 h1))) 3) (pow h0 3)) (+ (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (- (* h0 h0) (* (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (- (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (* h0 h0)) (- (sqrt (+ (* h0 h0) (* h1 h1))) h0) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0) (expm1 (+ (* h0 h0) (* h1 h1))) (log1p (+ (* h0 h0) (* h1 h1))) (* (exp (* h0 h0)) (exp (* h1 h1))) (log (+ (* h0 h0) (* h1 h1))) (exp (+ (* h0 h0) (* h1 h1))) (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1))) (* (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1))) (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3)) (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))) (- (* h0 h0) (* h1 h1)) h1 h0 (* -1 h0) (+ h0 h1) (* 2 h0) 0 (+ (pow h0 2) (pow h1 2)) (+ (pow h0 2) (pow h1 2)) (+ (pow h0 2) (pow h1 2)) 0.224 * * [simplify]: iteration 0 : 194 enodes (cost 279 ) 0.228 * * [simplify]: iteration 1 : 769 enodes (cost 246 ) 0.240 * * [simplify]: iteration 2 : 2332 enodes (cost 233 ) 0.285 * * [simplify]: iteration 3 : 5002 enodes (cost 230 ) 0.286 * [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))) (pow im 2) (- (hypot re im) re) (+ re (hypot re im)) (expm1 (+ (* re re) (* im im))) (log1p (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (pow (hypot re im) 6) (hypot re im) (hypot re im) (fma im (pow im 5) (pow re 6)) (fma im (- (pow im 3) (* (pow re 2) im)) (pow re 4)) (fma (- (pow im 3)) im (pow re 4)) (- (* re re) (* im im)) im re (* -1 re) (+ re im) (* 2 re) 0 (fma re re (* im im)) (fma re re (* im im)) (fma re re (* im im)) 0.287 * * * [progress]: adding candidates to table 0.449 * * [progress]: iteration 2 / 4 0.449 * * * [progress]: picking best candidate 0.459 * * * * [pick]: Picked # 0.459 * * * [progress]: localizing error 0.468 * * * [progress]: generating rewritten candidates 0.468 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 2) 0.476 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1 2 1 2) 0.477 * * * [progress]: generating series expansions 0.477 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 2) 0.477 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 0.477 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.477 * [taylor]: Taking taylor expansion of re in im 0.477 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.477 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.477 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.477 * [taylor]: Taking taylor expansion of (* re re) in im 0.477 * [taylor]: Taking taylor expansion of re in im 0.477 * [taylor]: Taking taylor expansion of re in im 0.477 * [taylor]: Taking taylor expansion of (* im im) in im 0.477 * [taylor]: Taking taylor expansion of im in im 0.477 * [taylor]: Taking taylor expansion of im in im 0.478 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.478 * [taylor]: Taking taylor expansion of re in re 0.478 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.478 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.478 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.478 * [taylor]: Taking taylor expansion of (* re re) in re 0.478 * [taylor]: Taking taylor expansion of re in re 0.478 * [taylor]: Taking taylor expansion of re in re 0.478 * [taylor]: Taking taylor expansion of (* im im) in re 0.478 * [taylor]: Taking taylor expansion of im in re 0.478 * [taylor]: Taking taylor expansion of im in re 0.480 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.480 * [taylor]: Taking taylor expansion of re in re 0.480 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.480 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.480 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.480 * [taylor]: Taking taylor expansion of (* re re) in re 0.480 * [taylor]: Taking taylor expansion of re in re 0.480 * [taylor]: Taking taylor expansion of re in re 0.480 * [taylor]: Taking taylor expansion of (* im im) in re 0.480 * [taylor]: Taking taylor expansion of im in re 0.480 * [taylor]: Taking taylor expansion of im in re 0.481 * [taylor]: Taking taylor expansion of im in im 0.481 * [taylor]: Taking taylor expansion of 1 in im 0.482 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.482 * [taylor]: Taking taylor expansion of 1/2 in im 0.482 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.483 * [taylor]: Taking taylor expansion of im in im 0.485 * [taylor]: Taking taylor expansion of 0 in im 0.486 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 0.486 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 0.486 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.486 * [taylor]: Taking taylor expansion of re in im 0.486 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.486 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.486 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.486 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.486 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.486 * [taylor]: Taking taylor expansion of re in im 0.486 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.486 * [taylor]: Taking taylor expansion of re in im 0.486 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.486 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.486 * [taylor]: Taking taylor expansion of im in im 0.487 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.487 * [taylor]: Taking taylor expansion of im in im 0.489 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.489 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.489 * [taylor]: Taking taylor expansion of re in re 0.489 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.490 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.490 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.490 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.490 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.490 * [taylor]: Taking taylor expansion of re in re 0.490 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.490 * [taylor]: Taking taylor expansion of re in re 0.490 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.490 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.490 * [taylor]: Taking taylor expansion of im in re 0.490 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.490 * [taylor]: Taking taylor expansion of im in re 0.493 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.493 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.493 * [taylor]: Taking taylor expansion of re in re 0.493 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.493 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.493 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.493 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.493 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.493 * [taylor]: Taking taylor expansion of re in re 0.493 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.493 * [taylor]: Taking taylor expansion of re in re 0.493 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.494 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.494 * [taylor]: Taking taylor expansion of im in re 0.494 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.494 * [taylor]: Taking taylor expansion of im in re 0.496 * [taylor]: Taking taylor expansion of 2 in im 0.497 * [taylor]: Taking taylor expansion of 0 in im 0.499 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.499 * [taylor]: Taking taylor expansion of 1/2 in im 0.500 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.500 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.500 * [taylor]: Taking taylor expansion of im in im 0.504 * [taylor]: Taking taylor expansion of 0 in im 0.505 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 0.505 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.505 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.506 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.506 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.506 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.506 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.506 * [taylor]: Taking taylor expansion of -1 in im 0.506 * [taylor]: Taking taylor expansion of re in im 0.506 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.506 * [taylor]: Taking taylor expansion of -1 in im 0.506 * [taylor]: Taking taylor expansion of re in im 0.506 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.506 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.506 * [taylor]: Taking taylor expansion of -1 in im 0.506 * [taylor]: Taking taylor expansion of im in im 0.506 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.506 * [taylor]: Taking taylor expansion of -1 in im 0.506 * [taylor]: Taking taylor expansion of im in im 0.509 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.509 * [taylor]: Taking taylor expansion of re in im 0.509 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.509 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.509 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.509 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.509 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.509 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.509 * [taylor]: Taking taylor expansion of -1 in re 0.509 * [taylor]: Taking taylor expansion of re in re 0.509 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.509 * [taylor]: Taking taylor expansion of -1 in re 0.509 * [taylor]: Taking taylor expansion of re in re 0.510 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.510 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.510 * [taylor]: Taking taylor expansion of -1 in re 0.510 * [taylor]: Taking taylor expansion of im in re 0.510 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.510 * [taylor]: Taking taylor expansion of -1 in re 0.510 * [taylor]: Taking taylor expansion of im in re 0.512 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.512 * [taylor]: Taking taylor expansion of re in re 0.512 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.512 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.512 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.512 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.512 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.512 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.512 * [taylor]: Taking taylor expansion of -1 in re 0.513 * [taylor]: Taking taylor expansion of re in re 0.513 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.513 * [taylor]: Taking taylor expansion of -1 in re 0.513 * [taylor]: Taking taylor expansion of re in re 0.513 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.513 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.513 * [taylor]: Taking taylor expansion of -1 in re 0.513 * [taylor]: Taking taylor expansion of im in re 0.513 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.513 * [taylor]: Taking taylor expansion of -1 in re 0.513 * [taylor]: Taking taylor expansion of im in re 0.515 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.516 * [taylor]: Taking taylor expansion of re in re 0.516 * [taylor]: Taking taylor expansion of 0 in im 0.517 * [taylor]: Taking taylor expansion of 0 in im 0.520 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.520 * [taylor]: Taking taylor expansion of 1/2 in im 0.520 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.520 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.520 * [taylor]: Taking taylor expansion of im in im 0.527 * [taylor]: Taking taylor expansion of 0 in im 0.529 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1 2 1 2) 0.529 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.529 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.529 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.529 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.529 * [taylor]: Taking taylor expansion of (* re re) in im 0.529 * [taylor]: Taking taylor expansion of re in im 0.529 * [taylor]: Taking taylor expansion of re in im 0.529 * [taylor]: Taking taylor expansion of (* im im) in im 0.529 * [taylor]: Taking taylor expansion of im in im 0.529 * [taylor]: Taking taylor expansion of im in im 0.530 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.530 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.530 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.530 * [taylor]: Taking taylor expansion of (* re re) in re 0.530 * [taylor]: Taking taylor expansion of re in re 0.530 * [taylor]: Taking taylor expansion of re in re 0.530 * [taylor]: Taking taylor expansion of (* im im) in re 0.530 * [taylor]: Taking taylor expansion of im in re 0.530 * [taylor]: Taking taylor expansion of im in re 0.531 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.531 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.531 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.532 * [taylor]: Taking taylor expansion of (* re re) in re 0.532 * [taylor]: Taking taylor expansion of re in re 0.532 * [taylor]: Taking taylor expansion of re in re 0.532 * [taylor]: Taking taylor expansion of (* im im) in re 0.532 * [taylor]: Taking taylor expansion of im in re 0.532 * [taylor]: Taking taylor expansion of im in re 0.533 * [taylor]: Taking taylor expansion of im in im 0.533 * [taylor]: Taking taylor expansion of 0 in im 0.534 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.534 * [taylor]: Taking taylor expansion of 1/2 in im 0.534 * [taylor]: Taking taylor expansion of im in im 0.536 * [taylor]: Taking taylor expansion of 0 in im 0.536 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.536 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.537 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.537 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.537 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.537 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.537 * [taylor]: Taking taylor expansion of re in im 0.537 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.537 * [taylor]: Taking taylor expansion of re in im 0.537 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.537 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.537 * [taylor]: Taking taylor expansion of im in im 0.537 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.537 * [taylor]: Taking taylor expansion of im in im 0.539 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.540 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.540 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.540 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.540 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.540 * [taylor]: Taking taylor expansion of re in re 0.540 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.540 * [taylor]: Taking taylor expansion of re in re 0.540 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.540 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.540 * [taylor]: Taking taylor expansion of im in re 0.540 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.540 * [taylor]: Taking taylor expansion of im in re 0.542 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.542 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.543 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.543 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.543 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.543 * [taylor]: Taking taylor expansion of re in re 0.543 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.543 * [taylor]: Taking taylor expansion of re in re 0.543 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.543 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.543 * [taylor]: Taking taylor expansion of im in re 0.543 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.543 * [taylor]: Taking taylor expansion of im in re 0.545 * [taylor]: Taking taylor expansion of 1 in im 0.545 * [taylor]: Taking taylor expansion of 0 in im 0.548 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.548 * [taylor]: Taking taylor expansion of 1/2 in im 0.548 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.548 * [taylor]: Taking taylor expansion of im in im 0.551 * [taylor]: Taking taylor expansion of 0 in im 0.552 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.552 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.552 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.552 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.552 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.552 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.552 * [taylor]: Taking taylor expansion of -1 in im 0.552 * [taylor]: Taking taylor expansion of re in im 0.552 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.552 * [taylor]: Taking taylor expansion of -1 in im 0.552 * [taylor]: Taking taylor expansion of re in im 0.552 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.552 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.552 * [taylor]: Taking taylor expansion of -1 in im 0.553 * [taylor]: Taking taylor expansion of im in im 0.553 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.553 * [taylor]: Taking taylor expansion of -1 in im 0.553 * [taylor]: Taking taylor expansion of im in im 0.555 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.555 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.555 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.555 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.556 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.556 * [taylor]: Taking taylor expansion of -1 in re 0.556 * [taylor]: Taking taylor expansion of re in re 0.556 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.556 * [taylor]: Taking taylor expansion of -1 in re 0.556 * [taylor]: Taking taylor expansion of re in re 0.556 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.556 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.556 * [taylor]: Taking taylor expansion of -1 in re 0.556 * [taylor]: Taking taylor expansion of im in re 0.557 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.557 * [taylor]: Taking taylor expansion of -1 in re 0.557 * [taylor]: Taking taylor expansion of im in re 0.559 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.559 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.559 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.559 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.559 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.559 * [taylor]: Taking taylor expansion of -1 in re 0.559 * [taylor]: Taking taylor expansion of re in re 0.559 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.559 * [taylor]: Taking taylor expansion of -1 in re 0.559 * [taylor]: Taking taylor expansion of re in re 0.560 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.560 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.560 * [taylor]: Taking taylor expansion of -1 in re 0.560 * [taylor]: Taking taylor expansion of im in re 0.560 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.560 * [taylor]: Taking taylor expansion of -1 in re 0.560 * [taylor]: Taking taylor expansion of im in re 0.562 * [taylor]: Taking taylor expansion of 1 in im 0.562 * [taylor]: Taking taylor expansion of 0 in im 0.565 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.565 * [taylor]: Taking taylor expansion of 1/2 in im 0.565 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.565 * [taylor]: Taking taylor expansion of im in im 0.568 * [taylor]: Taking taylor expansion of 0 in im 0.569 * * * [progress]: simplifying candidates 0.570 * [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 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (+ re im) (* 2 re) 0 im re (* -1 re) 0.570 * [simplify]: Sending expressions to egg_math: (expm1 (+ (* 1 (hypot h0 h1)) h0)) (log1p (+ (* 1 (hypot h0 h1)) h0)) (* (exp (* 1 (hypot h0 h1))) (exp h0)) (log (+ (* 1 (hypot h0 h1)) h0)) (exp (+ (* 1 (hypot h0 h1)) h0)) (* (cbrt (+ (* 1 (hypot h0 h1)) h0)) (cbrt (+ (* 1 (hypot h0 h1)) h0))) (cbrt (+ (* 1 (hypot h0 h1)) h0)) (* (* (+ (* 1 (hypot h0 h1)) h0) (+ (* 1 (hypot h0 h1)) h0)) (+ (* 1 (hypot h0 h1)) h0)) (sqrt (+ (* 1 (hypot h0 h1)) h0)) (sqrt (+ (* 1 (hypot h0 h1)) h0)) (+ (pow (* 1 (hypot h0 h1)) 3) (pow h0 3)) (+ (* (* 1 (hypot h0 h1)) (* 1 (hypot h0 h1))) (- (* h0 h0) (* (* 1 (hypot h0 h1)) h0))) (- (* (* 1 (hypot h0 h1)) (* 1 (hypot h0 h1))) (* h0 h0)) (- (* 1 (hypot h0 h1)) h0) (+ (hypot h0 h1) h0) (expm1 (hypot h0 h1)) (log1p (hypot h0 h1)) (+ (* h0 h0) (* h1 h1)) (log (hypot h0 h1)) (exp (hypot h0 h1)) (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1)) (* (* (hypot h0 h1) (hypot h0 h1)) (hypot h0 h1)) (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)) (+ h0 h1) (* 2 h0) 0 h1 h0 (* -1 h0) 0.573 * * [simplify]: iteration 0 : 112 enodes (cost 101 ) 0.575 * * [simplify]: iteration 1 : 261 enodes (cost 91 ) 0.580 * * [simplify]: iteration 2 : 759 enodes (cost 89 ) 0.594 * * [simplify]: iteration 3 : 2385 enodes (cost 86 ) 0.634 * * [simplify]: iteration 4 : 5002 enodes (cost 86 ) 0.634 * [simplify]: Simplified to: (expm1 (+ (* 1 (hypot re im)) re)) (log1p (+ (* 1 (hypot re im)) re)) (pow E (fma 1 (hypot re im) re)) (log (+ (* 1 (hypot re im)) re)) (pow E (fma 1 (hypot re im) re)) (* (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 (* re re) re (pow (hypot re im) 3)) (fma re re (* (hypot re im) (fma -1 re (hypot re im)))) (fma (* -1 re) re (* (hypot re im) (hypot re im))) (fma -1 re (hypot re im)) (fma 1 (hypot re im) re) (expm1 (hypot re im)) (log1p (hypot re im)) (fma re re (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (sqrt (hypot re im)) (sqrt (hypot re im)) (+ re im) (* 2 re) 0 im re (* -1 re) 0.635 * * * [progress]: adding candidates to table 0.720 * * [progress]: iteration 3 / 4 0.720 * * * [progress]: picking best candidate 0.731 * * * * [pick]: Picked # 0.731 * * * [progress]: localizing error 0.742 * * * [progress]: generating rewritten candidates 0.742 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2) 0.771 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 2) 0.786 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 2 2 1) 0.786 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 2 1 1) 0.789 * * * [progress]: generating series expansions 0.789 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2) 0.789 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 0.789 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.789 * [taylor]: Taking taylor expansion of re in im 0.789 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.789 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.789 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.789 * [taylor]: Taking taylor expansion of (* re re) in im 0.789 * [taylor]: Taking taylor expansion of re in im 0.789 * [taylor]: Taking taylor expansion of re in im 0.789 * [taylor]: Taking taylor expansion of (* im im) in im 0.789 * [taylor]: Taking taylor expansion of im in im 0.789 * [taylor]: Taking taylor expansion of im in im 0.791 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.791 * [taylor]: Taking taylor expansion of re in re 0.791 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.791 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.791 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.791 * [taylor]: Taking taylor expansion of (* re re) in re 0.791 * [taylor]: Taking taylor expansion of re in re 0.791 * [taylor]: Taking taylor expansion of re in re 0.791 * [taylor]: Taking taylor expansion of (* im im) in re 0.791 * [taylor]: Taking taylor expansion of im in re 0.791 * [taylor]: Taking taylor expansion of im in re 0.792 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.792 * [taylor]: Taking taylor expansion of re in re 0.792 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.792 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.792 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.792 * [taylor]: Taking taylor expansion of (* re re) in re 0.792 * [taylor]: Taking taylor expansion of re in re 0.792 * [taylor]: Taking taylor expansion of re in re 0.792 * [taylor]: Taking taylor expansion of (* im im) in re 0.792 * [taylor]: Taking taylor expansion of im in re 0.792 * [taylor]: Taking taylor expansion of im in re 0.793 * [taylor]: Taking taylor expansion of im in im 0.793 * [taylor]: Taking taylor expansion of 1 in im 0.795 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.795 * [taylor]: Taking taylor expansion of 1/2 in im 0.795 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.795 * [taylor]: Taking taylor expansion of im in im 0.797 * [taylor]: Taking taylor expansion of 0 in im 0.799 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 0.799 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 0.799 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.799 * [taylor]: Taking taylor expansion of re in im 0.799 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.799 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.799 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.799 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.799 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.799 * [taylor]: Taking taylor expansion of re in im 0.799 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.799 * [taylor]: Taking taylor expansion of re in im 0.799 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.799 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.799 * [taylor]: Taking taylor expansion of im in im 0.799 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.799 * [taylor]: Taking taylor expansion of im in im 0.802 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.802 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.802 * [taylor]: Taking taylor expansion of re in re 0.802 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.802 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.802 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.802 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.802 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.802 * [taylor]: Taking taylor expansion of re in re 0.802 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.802 * [taylor]: Taking taylor expansion of re in re 0.803 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.803 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.803 * [taylor]: Taking taylor expansion of im in re 0.803 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.803 * [taylor]: Taking taylor expansion of im in re 0.805 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.805 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.805 * [taylor]: Taking taylor expansion of re in re 0.805 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.805 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.805 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.805 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.805 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.805 * [taylor]: Taking taylor expansion of re in re 0.806 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.806 * [taylor]: Taking taylor expansion of re in re 0.806 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.806 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.806 * [taylor]: Taking taylor expansion of im in re 0.806 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.806 * [taylor]: Taking taylor expansion of im in re 0.808 * [taylor]: Taking taylor expansion of 2 in im 0.809 * [taylor]: Taking taylor expansion of 0 in im 0.812 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.812 * [taylor]: Taking taylor expansion of 1/2 in im 0.812 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.812 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.812 * [taylor]: Taking taylor expansion of im in im 0.816 * [taylor]: Taking taylor expansion of 0 in im 0.818 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 0.818 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.818 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.818 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.818 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.818 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.818 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.818 * [taylor]: Taking taylor expansion of -1 in im 0.818 * [taylor]: Taking taylor expansion of re in im 0.818 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.818 * [taylor]: Taking taylor expansion of -1 in im 0.818 * [taylor]: Taking taylor expansion of re in im 0.818 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.818 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.818 * [taylor]: Taking taylor expansion of -1 in im 0.818 * [taylor]: Taking taylor expansion of im in im 0.819 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.819 * [taylor]: Taking taylor expansion of -1 in im 0.819 * [taylor]: Taking taylor expansion of im in im 0.821 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.821 * [taylor]: Taking taylor expansion of re in im 0.821 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.821 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.821 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.821 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.821 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.822 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.822 * [taylor]: Taking taylor expansion of -1 in re 0.822 * [taylor]: Taking taylor expansion of re in re 0.822 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.822 * [taylor]: Taking taylor expansion of -1 in re 0.822 * [taylor]: Taking taylor expansion of re in re 0.822 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.822 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.822 * [taylor]: Taking taylor expansion of -1 in re 0.822 * [taylor]: Taking taylor expansion of im in re 0.822 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.822 * [taylor]: Taking taylor expansion of -1 in re 0.822 * [taylor]: Taking taylor expansion of im in re 0.825 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.825 * [taylor]: Taking taylor expansion of re in re 0.825 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.825 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.825 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.825 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.825 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.825 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.825 * [taylor]: Taking taylor expansion of -1 in re 0.825 * [taylor]: Taking taylor expansion of re in re 0.825 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.825 * [taylor]: Taking taylor expansion of -1 in re 0.825 * [taylor]: Taking taylor expansion of re in re 0.826 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.826 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.826 * [taylor]: Taking taylor expansion of -1 in re 0.826 * [taylor]: Taking taylor expansion of im in re 0.826 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.826 * [taylor]: Taking taylor expansion of -1 in re 0.826 * [taylor]: Taking taylor expansion of im in re 0.828 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.828 * [taylor]: Taking taylor expansion of re in re 0.829 * [taylor]: Taking taylor expansion of 0 in im 0.829 * [taylor]: Taking taylor expansion of 0 in im 0.833 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.833 * [taylor]: Taking taylor expansion of 1/2 in im 0.833 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.833 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.833 * [taylor]: Taking taylor expansion of im in im 0.837 * [taylor]: Taking taylor expansion of 0 in im 0.839 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 2) 0.839 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.839 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.839 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.839 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.839 * [taylor]: Taking taylor expansion of (* re re) in im 0.839 * [taylor]: Taking taylor expansion of re in im 0.839 * [taylor]: Taking taylor expansion of re in im 0.839 * [taylor]: Taking taylor expansion of (* im im) in im 0.839 * [taylor]: Taking taylor expansion of im in im 0.839 * [taylor]: Taking taylor expansion of im in im 0.840 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.840 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.840 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.840 * [taylor]: Taking taylor expansion of (* re re) in re 0.840 * [taylor]: Taking taylor expansion of re in re 0.840 * [taylor]: Taking taylor expansion of re in re 0.840 * [taylor]: Taking taylor expansion of (* im im) in re 0.840 * [taylor]: Taking taylor expansion of im in re 0.840 * [taylor]: Taking taylor expansion of im in re 0.841 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.841 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.841 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.841 * [taylor]: Taking taylor expansion of (* re re) in re 0.841 * [taylor]: Taking taylor expansion of re in re 0.841 * [taylor]: Taking taylor expansion of re in re 0.841 * [taylor]: Taking taylor expansion of (* im im) in re 0.841 * [taylor]: Taking taylor expansion of im in re 0.841 * [taylor]: Taking taylor expansion of im in re 0.842 * [taylor]: Taking taylor expansion of im in im 0.842 * [taylor]: Taking taylor expansion of 0 in im 0.844 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.844 * [taylor]: Taking taylor expansion of 1/2 in im 0.844 * [taylor]: Taking taylor expansion of im in im 0.846 * [taylor]: Taking taylor expansion of 0 in im 0.847 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.847 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.847 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.847 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.847 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.847 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.847 * [taylor]: Taking taylor expansion of re in im 0.847 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.847 * [taylor]: Taking taylor expansion of re in im 0.847 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.847 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.847 * [taylor]: Taking taylor expansion of im in im 0.847 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.847 * [taylor]: Taking taylor expansion of im in im 0.849 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.850 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.850 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.850 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.850 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.850 * [taylor]: Taking taylor expansion of re in re 0.850 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.850 * [taylor]: Taking taylor expansion of re in re 0.850 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.850 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.850 * [taylor]: Taking taylor expansion of im in re 0.850 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.850 * [taylor]: Taking taylor expansion of im in re 0.853 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.853 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.853 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.853 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.853 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.853 * [taylor]: Taking taylor expansion of re in re 0.853 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.853 * [taylor]: Taking taylor expansion of re in re 0.853 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.853 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.853 * [taylor]: Taking taylor expansion of im in re 0.853 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.853 * [taylor]: Taking taylor expansion of im in re 0.856 * [taylor]: Taking taylor expansion of 1 in im 0.856 * [taylor]: Taking taylor expansion of 0 in im 0.861 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.861 * [taylor]: Taking taylor expansion of 1/2 in im 0.861 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.861 * [taylor]: Taking taylor expansion of im in im 0.864 * [taylor]: Taking taylor expansion of 0 in im 0.866 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.866 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.866 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.866 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.866 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.866 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.866 * [taylor]: Taking taylor expansion of -1 in im 0.866 * [taylor]: Taking taylor expansion of re in im 0.866 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.866 * [taylor]: Taking taylor expansion of -1 in im 0.866 * [taylor]: Taking taylor expansion of re in im 0.866 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.866 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.866 * [taylor]: Taking taylor expansion of -1 in im 0.866 * [taylor]: Taking taylor expansion of im in im 0.866 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.866 * [taylor]: Taking taylor expansion of -1 in im 0.866 * [taylor]: Taking taylor expansion of im in im 0.869 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.869 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.869 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.869 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.869 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.869 * [taylor]: Taking taylor expansion of -1 in re 0.869 * [taylor]: Taking taylor expansion of re in re 0.869 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.869 * [taylor]: Taking taylor expansion of -1 in re 0.869 * [taylor]: Taking taylor expansion of re in re 0.869 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.870 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.870 * [taylor]: Taking taylor expansion of -1 in re 0.870 * [taylor]: Taking taylor expansion of im in re 0.870 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.870 * [taylor]: Taking taylor expansion of -1 in re 0.870 * [taylor]: Taking taylor expansion of im in re 0.872 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.872 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.872 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.872 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.872 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.872 * [taylor]: Taking taylor expansion of -1 in re 0.872 * [taylor]: Taking taylor expansion of re in re 0.872 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.872 * [taylor]: Taking taylor expansion of -1 in re 0.872 * [taylor]: Taking taylor expansion of re in re 0.873 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.873 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.873 * [taylor]: Taking taylor expansion of -1 in re 0.873 * [taylor]: Taking taylor expansion of im in re 0.873 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.873 * [taylor]: Taking taylor expansion of -1 in re 0.873 * [taylor]: Taking taylor expansion of im in re 0.875 * [taylor]: Taking taylor expansion of 1 in im 0.875 * [taylor]: Taking taylor expansion of 0 in im 0.878 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.878 * [taylor]: Taking taylor expansion of 1/2 in im 0.878 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.878 * [taylor]: Taking taylor expansion of im in im 0.881 * [taylor]: Taking taylor expansion of 0 in im 0.882 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 2 2 1) 0.882 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.882 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.882 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.882 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.883 * [taylor]: Taking taylor expansion of (* re re) in im 0.883 * [taylor]: Taking taylor expansion of re in im 0.883 * [taylor]: Taking taylor expansion of re in im 0.883 * [taylor]: Taking taylor expansion of (* im im) in im 0.883 * [taylor]: Taking taylor expansion of im in im 0.883 * [taylor]: Taking taylor expansion of im in im 0.884 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.884 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.884 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.884 * [taylor]: Taking taylor expansion of (* re re) in re 0.884 * [taylor]: Taking taylor expansion of re in re 0.884 * [taylor]: Taking taylor expansion of re in re 0.884 * [taylor]: Taking taylor expansion of (* im im) in re 0.884 * [taylor]: Taking taylor expansion of im in re 0.884 * [taylor]: Taking taylor expansion of im in re 0.885 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.885 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.885 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.885 * [taylor]: Taking taylor expansion of (* re re) in re 0.885 * [taylor]: Taking taylor expansion of re in re 0.885 * [taylor]: Taking taylor expansion of re in re 0.885 * [taylor]: Taking taylor expansion of (* im im) in re 0.885 * [taylor]: Taking taylor expansion of im in re 0.885 * [taylor]: Taking taylor expansion of im in re 0.886 * [taylor]: Taking taylor expansion of im in im 0.886 * [taylor]: Taking taylor expansion of 0 in im 0.887 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.887 * [taylor]: Taking taylor expansion of 1/2 in im 0.887 * [taylor]: Taking taylor expansion of im in im 0.889 * [taylor]: Taking taylor expansion of 0 in im 0.890 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.890 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.890 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.890 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.890 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.890 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.890 * [taylor]: Taking taylor expansion of re in im 0.890 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.890 * [taylor]: Taking taylor expansion of re in im 0.890 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.890 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.890 * [taylor]: Taking taylor expansion of im in im 0.891 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.891 * [taylor]: Taking taylor expansion of im in im 0.893 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.893 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.893 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.893 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.893 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.893 * [taylor]: Taking taylor expansion of re in re 0.893 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.893 * [taylor]: Taking taylor expansion of re in re 0.894 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.894 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.894 * [taylor]: Taking taylor expansion of im in re 0.894 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.894 * [taylor]: Taking taylor expansion of im in re 0.896 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.896 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.896 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.896 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.896 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.896 * [taylor]: Taking taylor expansion of re in re 0.897 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.897 * [taylor]: Taking taylor expansion of re in re 0.897 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.897 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.897 * [taylor]: Taking taylor expansion of im in re 0.897 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.897 * [taylor]: Taking taylor expansion of im in re 0.899 * [taylor]: Taking taylor expansion of 1 in im 0.899 * [taylor]: Taking taylor expansion of 0 in im 0.901 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.901 * [taylor]: Taking taylor expansion of 1/2 in im 0.901 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.902 * [taylor]: Taking taylor expansion of im in im 0.905 * [taylor]: Taking taylor expansion of 0 in im 0.906 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.906 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.906 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.906 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.906 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.906 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.906 * [taylor]: Taking taylor expansion of -1 in im 0.906 * [taylor]: Taking taylor expansion of re in im 0.906 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.906 * [taylor]: Taking taylor expansion of -1 in im 0.906 * [taylor]: Taking taylor expansion of re in im 0.906 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.906 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.906 * [taylor]: Taking taylor expansion of -1 in im 0.906 * [taylor]: Taking taylor expansion of im in im 0.907 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.907 * [taylor]: Taking taylor expansion of -1 in im 0.907 * [taylor]: Taking taylor expansion of im in im 0.909 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.909 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.909 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.909 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.909 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.909 * [taylor]: Taking taylor expansion of -1 in re 0.909 * [taylor]: Taking taylor expansion of re in re 0.910 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.910 * [taylor]: Taking taylor expansion of -1 in re 0.910 * [taylor]: Taking taylor expansion of re in re 0.910 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.910 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.910 * [taylor]: Taking taylor expansion of -1 in re 0.910 * [taylor]: Taking taylor expansion of im in re 0.910 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.910 * [taylor]: Taking taylor expansion of -1 in re 0.910 * [taylor]: Taking taylor expansion of im in re 0.912 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.912 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.912 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.912 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.912 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.912 * [taylor]: Taking taylor expansion of -1 in re 0.912 * [taylor]: Taking taylor expansion of re in re 0.913 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.913 * [taylor]: Taking taylor expansion of -1 in re 0.913 * [taylor]: Taking taylor expansion of re in re 0.913 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.913 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.913 * [taylor]: Taking taylor expansion of -1 in re 0.913 * [taylor]: Taking taylor expansion of im in re 0.913 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.913 * [taylor]: Taking taylor expansion of -1 in re 0.913 * [taylor]: Taking taylor expansion of im in re 0.915 * [taylor]: Taking taylor expansion of 1 in im 0.916 * [taylor]: Taking taylor expansion of 0 in im 0.918 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.918 * [taylor]: Taking taylor expansion of 1/2 in im 0.918 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.918 * [taylor]: Taking taylor expansion of im in im 0.921 * [taylor]: Taking taylor expansion of 0 in im 0.922 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 2 1 1) 0.923 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.923 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.923 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.923 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.923 * [taylor]: Taking taylor expansion of (* re re) in im 0.923 * [taylor]: Taking taylor expansion of re in im 0.923 * [taylor]: Taking taylor expansion of re in im 0.923 * [taylor]: Taking taylor expansion of (* im im) in im 0.923 * [taylor]: Taking taylor expansion of im in im 0.923 * [taylor]: Taking taylor expansion of im in im 0.924 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.924 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.924 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.924 * [taylor]: Taking taylor expansion of (* re re) in re 0.924 * [taylor]: Taking taylor expansion of re in re 0.924 * [taylor]: Taking taylor expansion of re in re 0.924 * [taylor]: Taking taylor expansion of (* im im) in re 0.924 * [taylor]: Taking taylor expansion of im in re 0.924 * [taylor]: Taking taylor expansion of im in re 0.925 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.925 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.925 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.925 * [taylor]: Taking taylor expansion of (* re re) in re 0.925 * [taylor]: Taking taylor expansion of re in re 0.925 * [taylor]: Taking taylor expansion of re in re 0.925 * [taylor]: Taking taylor expansion of (* im im) in re 0.925 * [taylor]: Taking taylor expansion of im in re 0.925 * [taylor]: Taking taylor expansion of im in re 0.926 * [taylor]: Taking taylor expansion of im in im 0.926 * [taylor]: Taking taylor expansion of 0 in im 0.927 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.928 * [taylor]: Taking taylor expansion of 1/2 in im 0.928 * [taylor]: Taking taylor expansion of im in im 0.929 * [taylor]: Taking taylor expansion of 0 in im 0.930 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.930 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.930 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.930 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.930 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.930 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.930 * [taylor]: Taking taylor expansion of re in im 0.930 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.930 * [taylor]: Taking taylor expansion of re in im 0.930 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.930 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.930 * [taylor]: Taking taylor expansion of im in im 0.931 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.931 * [taylor]: Taking taylor expansion of im in im 0.933 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.933 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.933 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.933 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.933 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.933 * [taylor]: Taking taylor expansion of re in re 0.933 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.933 * [taylor]: Taking taylor expansion of re in re 0.934 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.934 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.934 * [taylor]: Taking taylor expansion of im in re 0.934 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.934 * [taylor]: Taking taylor expansion of im in re 0.936 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.936 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.936 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.936 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.936 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.936 * [taylor]: Taking taylor expansion of re in re 0.936 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.937 * [taylor]: Taking taylor expansion of re in re 0.937 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.937 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.937 * [taylor]: Taking taylor expansion of im in re 0.937 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.937 * [taylor]: Taking taylor expansion of im in re 0.939 * [taylor]: Taking taylor expansion of 1 in im 0.939 * [taylor]: Taking taylor expansion of 0 in im 0.941 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.941 * [taylor]: Taking taylor expansion of 1/2 in im 0.941 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.941 * [taylor]: Taking taylor expansion of im in im 0.948 * [taylor]: Taking taylor expansion of 0 in im 0.949 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.949 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.949 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.949 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.949 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.949 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.949 * [taylor]: Taking taylor expansion of -1 in im 0.949 * [taylor]: Taking taylor expansion of re in im 0.949 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.949 * [taylor]: Taking taylor expansion of -1 in im 0.949 * [taylor]: Taking taylor expansion of re in im 0.949 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.949 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.949 * [taylor]: Taking taylor expansion of -1 in im 0.949 * [taylor]: Taking taylor expansion of im in im 0.950 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.950 * [taylor]: Taking taylor expansion of -1 in im 0.950 * [taylor]: Taking taylor expansion of im in im 0.952 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.952 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.952 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.952 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.952 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.952 * [taylor]: Taking taylor expansion of -1 in re 0.952 * [taylor]: Taking taylor expansion of re in re 0.953 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.953 * [taylor]: Taking taylor expansion of -1 in re 0.953 * [taylor]: Taking taylor expansion of re in re 0.953 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.953 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.953 * [taylor]: Taking taylor expansion of -1 in re 0.953 * [taylor]: Taking taylor expansion of im in re 0.953 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.953 * [taylor]: Taking taylor expansion of -1 in re 0.953 * [taylor]: Taking taylor expansion of im in re 0.955 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.956 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.956 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.956 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.956 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.956 * [taylor]: Taking taylor expansion of -1 in re 0.956 * [taylor]: Taking taylor expansion of re in re 0.956 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.956 * [taylor]: Taking taylor expansion of -1 in re 0.956 * [taylor]: Taking taylor expansion of re in re 0.956 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.956 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.956 * [taylor]: Taking taylor expansion of -1 in re 0.956 * [taylor]: Taking taylor expansion of im in re 0.956 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.956 * [taylor]: Taking taylor expansion of -1 in re 0.956 * [taylor]: Taking taylor expansion of im in re 0.959 * [taylor]: Taking taylor expansion of 1 in im 0.959 * [taylor]: Taking taylor expansion of 0 in im 0.961 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.961 * [taylor]: Taking taylor expansion of 1/2 in im 0.961 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.961 * [taylor]: Taking taylor expansion of im in im 0.964 * [taylor]: Taking taylor expansion of 0 in im 0.966 * * * [progress]: simplifying candidates 0.967 * [simplify]: Simplifying using # : (expm1 (+ (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (log1p (+ (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (* (exp (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (exp re)) (log (+ (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (exp (+ (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (* (cbrt (+ (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (cbrt (+ (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re))) (cbrt (+ (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (* (* (+ (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re) (+ (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (+ (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (sqrt (+ (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (sqrt (+ (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (+ (pow (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 3) (pow re 3)) (+ (* (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (- (* re re) (* (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re))) (- (* (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (* re re)) (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re) (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) (expm1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log1p (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (hypot re im) (hypot re im)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (hypot re im) (hypot re im)) (+ 1 1) (+ (log (sqrt (hypot re im))) (log (sqrt (hypot re im)))) (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (exp (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im)))) (* (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (hypot re im) (hypot re im)) (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* 1 1) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (hypot re im)) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt 1)) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) 1) (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (+ re im) (* 2 re) 0 im re (* -1 re) im re (* -1 re) im re (* -1 re) 0.967 * [simplify]: Sending expressions to egg_math: (expm1 (+ (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0)) (log1p (+ (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0)) (* (exp (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))))) (exp h0)) (log (+ (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0)) (exp (+ (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0)) (* (cbrt (+ (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0)) (cbrt (+ (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0))) (cbrt (+ (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0)) (* (* (+ (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0) (+ (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0)) (+ (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0)) (sqrt (+ (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0)) (sqrt (+ (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0)) (+ (pow (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) 3) (pow h0 3)) (+ (* (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))))) (- (* h0 h0) (* (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0))) (- (* (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))))) (* h0 h0)) (- (* 1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) h0) (+ (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) h0) (expm1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (log1p (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (hypot h0 h1) (hypot h0 h1)) (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (* (hypot h0 h1) (hypot h0 h1)) (+ 1 1) (+ (log (sqrt (hypot h0 h1))) (log (sqrt (hypot h0 h1)))) (log (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (exp (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (* (* (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (sqrt (hypot h0 h1))) (* (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (sqrt (hypot h0 h1)))) (* (cbrt (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (cbrt (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))))) (cbrt (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (* (* (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (* (hypot h0 h1) (hypot h0 h1)) (sqrt (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (sqrt (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (* (* (cbrt (sqrt (hypot h0 h1))) (cbrt (sqrt (hypot h0 h1)))) (* (cbrt (sqrt (hypot h0 h1))) (cbrt (sqrt (hypot h0 h1))))) (* (cbrt (sqrt (hypot h0 h1))) (cbrt (sqrt (hypot h0 h1)))) (* (sqrt (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1)))) (sqrt (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))))) (* (sqrt (cbrt (hypot h0 h1))) (sqrt (cbrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* 1 1) (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (hypot h0 h1)) (* (cbrt (sqrt (hypot h0 h1))) (cbrt (sqrt (hypot h0 h1))))) (* (sqrt (hypot h0 h1)) (sqrt (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))))) (* (sqrt (hypot h0 h1)) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (hypot h0 h1)) (sqrt 1)) (* (sqrt (hypot h0 h1)) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (hypot h0 h1)) 1) (* (cbrt (sqrt (hypot h0 h1))) (sqrt (hypot h0 h1))) (* (sqrt (cbrt (hypot h0 h1))) (sqrt (hypot h0 h1))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (hypot h0 h1))) (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (hypot h0 h1))) (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (expm1 (hypot h0 h1)) (log1p (hypot h0 h1)) (+ (* h0 h0) (* h1 h1)) (log (hypot h0 h1)) (exp (hypot h0 h1)) (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1)) (* (* (hypot h0 h1) (hypot h0 h1)) (hypot h0 h1)) (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)) (expm1 (hypot h0 h1)) (log1p (hypot h0 h1)) (+ (* h0 h0) (* h1 h1)) (log (hypot h0 h1)) (exp (hypot h0 h1)) (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1)) (* (* (hypot h0 h1) (hypot h0 h1)) (hypot h0 h1)) (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)) (+ h0 h1) (* 2 h0) 0 h1 h0 (* -1 h0) h1 h0 (* -1 h0) h1 h0 (* -1 h0) 0.971 * * [simplify]: iteration 0 : 189 enodes (cost 351 ) 0.976 * * [simplify]: iteration 1 : 741 enodes (cost 285 ) 1.000 * * [simplify]: iteration 2 : 5001 enodes (cost 277 ) 1.002 * [simplify]: Simplified to: (expm1 (+ (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (log1p (+ (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (exp (+ re (hypot re im))) (log (+ (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (exp (+ re (hypot re im))) (* (cbrt (+ (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (cbrt (+ (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re))) (cbrt (+ (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (pow (+ re (hypot re im)) 3) (sqrt (+ (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (sqrt (+ (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (+ (pow (hypot re im) 3) (pow re 3)) (fma (hypot re im) (hypot re im) (* re (- re (hypot re im)))) (fma (hypot re im) (hypot re im) (- (* re re))) (- (hypot re im) re) (+ re (hypot re im)) (expm1 (hypot re im)) (log1p (hypot re im)) 1 1 2 1 1 (* (hypot re im) (hypot re im)) (hypot re im) (* (hypot re im) (hypot re im)) 2 (log (hypot re im)) (log (hypot re im)) (exp (hypot re im)) (pow (hypot re im) 3) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (* (hypot re im) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (pow (cbrt (sqrt (hypot re im))) 4) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 (hypot re im) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 (hypot re im) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 2 1 (* (pow (cbrt (sqrt (hypot re im))) 4) (cbrt (sqrt (hypot re im)))) (* (fabs (cbrt (hypot re im))) (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (hypot re im)) (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (hypot re im)) (pow (cbrt (sqrt (hypot re im))) 4) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3) (hypot re im) (pow (sqrt (sqrt (hypot re im))) 3) (hypot re im) (expm1 (hypot re im)) (log1p (hypot re im)) (fma re re (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (sqrt (hypot re im)) (sqrt (hypot re im)) (expm1 (hypot re im)) (log1p (hypot re im)) (fma re re (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (sqrt (hypot re im)) (sqrt (hypot re im)) (+ re im) (* 2 re) 0 im re (* -1 re) im re (* -1 re) im re (* -1 re) 1.002 * * * [progress]: adding candidates to table 1.222 * * [progress]: iteration 4 / 4 1.222 * * * [progress]: picking best candidate 1.236 * * * * [pick]: Picked # 1.236 * * * [progress]: localizing error 1.252 * * * [progress]: generating rewritten candidates 1.252 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2) 1.513 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 2 1 1 2) 1.514 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 2 1 1 1 2) 1.515 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 2 1 1 1 1) 1.516 * * * [progress]: generating series expansions 1.516 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2) 1.517 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 1.517 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.517 * [taylor]: Taking taylor expansion of re in im 1.517 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.517 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.517 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.517 * [taylor]: Taking taylor expansion of (* re re) in im 1.517 * [taylor]: Taking taylor expansion of re in im 1.517 * [taylor]: Taking taylor expansion of re in im 1.517 * [taylor]: Taking taylor expansion of (* im im) in im 1.517 * [taylor]: Taking taylor expansion of im in im 1.517 * [taylor]: Taking taylor expansion of im in im 1.518 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.518 * [taylor]: Taking taylor expansion of re in re 1.518 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.518 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.518 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.518 * [taylor]: Taking taylor expansion of (* re re) in re 1.518 * [taylor]: Taking taylor expansion of re in re 1.518 * [taylor]: Taking taylor expansion of re in re 1.518 * [taylor]: Taking taylor expansion of (* im im) in re 1.518 * [taylor]: Taking taylor expansion of im in re 1.518 * [taylor]: Taking taylor expansion of im in re 1.519 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.520 * [taylor]: Taking taylor expansion of re in re 1.520 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.520 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.520 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.520 * [taylor]: Taking taylor expansion of (* re re) in re 1.520 * [taylor]: Taking taylor expansion of re in re 1.520 * [taylor]: Taking taylor expansion of re in re 1.520 * [taylor]: Taking taylor expansion of (* im im) in re 1.520 * [taylor]: Taking taylor expansion of im in re 1.520 * [taylor]: Taking taylor expansion of im in re 1.521 * [taylor]: Taking taylor expansion of im in im 1.521 * [taylor]: Taking taylor expansion of 1 in im 1.523 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.523 * [taylor]: Taking taylor expansion of 1/2 in im 1.523 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.523 * [taylor]: Taking taylor expansion of im in im 1.525 * [taylor]: Taking taylor expansion of 0 in im 1.527 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 1.527 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 1.527 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.527 * [taylor]: Taking taylor expansion of re in im 1.527 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.527 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.527 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.527 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.527 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.527 * [taylor]: Taking taylor expansion of re in im 1.527 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.527 * [taylor]: Taking taylor expansion of re in im 1.527 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.527 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.527 * [taylor]: Taking taylor expansion of im in im 1.527 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.527 * [taylor]: Taking taylor expansion of im in im 1.530 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.530 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.530 * [taylor]: Taking taylor expansion of re in re 1.530 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.530 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.530 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.530 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.530 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.530 * [taylor]: Taking taylor expansion of re in re 1.530 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.530 * [taylor]: Taking taylor expansion of re in re 1.531 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.531 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.531 * [taylor]: Taking taylor expansion of im in re 1.531 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.531 * [taylor]: Taking taylor expansion of im in re 1.533 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.533 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.533 * [taylor]: Taking taylor expansion of re in re 1.533 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.533 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.533 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.533 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.533 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.533 * [taylor]: Taking taylor expansion of re in re 1.534 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.534 * [taylor]: Taking taylor expansion of re in re 1.534 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.534 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.534 * [taylor]: Taking taylor expansion of im in re 1.534 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.534 * [taylor]: Taking taylor expansion of im in re 1.537 * [taylor]: Taking taylor expansion of 2 in im 1.537 * [taylor]: Taking taylor expansion of 0 in im 1.540 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.540 * [taylor]: Taking taylor expansion of 1/2 in im 1.540 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.540 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.540 * [taylor]: Taking taylor expansion of im in im 1.544 * [taylor]: Taking taylor expansion of 0 in im 1.546 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 1.546 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.546 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.546 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.546 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.546 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.546 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.546 * [taylor]: Taking taylor expansion of -1 in im 1.546 * [taylor]: Taking taylor expansion of re in im 1.546 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.546 * [taylor]: Taking taylor expansion of -1 in im 1.547 * [taylor]: Taking taylor expansion of re in im 1.547 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.547 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.547 * [taylor]: Taking taylor expansion of -1 in im 1.547 * [taylor]: Taking taylor expansion of im in im 1.547 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.547 * [taylor]: Taking taylor expansion of -1 in im 1.547 * [taylor]: Taking taylor expansion of im in im 1.550 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.550 * [taylor]: Taking taylor expansion of re in im 1.550 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.550 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.550 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.550 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.550 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.550 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.550 * [taylor]: Taking taylor expansion of -1 in re 1.550 * [taylor]: Taking taylor expansion of re in re 1.550 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.550 * [taylor]: Taking taylor expansion of -1 in re 1.550 * [taylor]: Taking taylor expansion of re in re 1.550 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.550 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.550 * [taylor]: Taking taylor expansion of -1 in re 1.550 * [taylor]: Taking taylor expansion of im in re 1.551 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.551 * [taylor]: Taking taylor expansion of -1 in re 1.551 * [taylor]: Taking taylor expansion of im in re 1.553 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.553 * [taylor]: Taking taylor expansion of re in re 1.553 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.553 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.553 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.553 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.553 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.553 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.553 * [taylor]: Taking taylor expansion of -1 in re 1.553 * [taylor]: Taking taylor expansion of re in re 1.554 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.554 * [taylor]: Taking taylor expansion of -1 in re 1.554 * [taylor]: Taking taylor expansion of re in re 1.554 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.554 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.554 * [taylor]: Taking taylor expansion of -1 in re 1.554 * [taylor]: Taking taylor expansion of im in re 1.554 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.554 * [taylor]: Taking taylor expansion of -1 in re 1.554 * [taylor]: Taking taylor expansion of im in re 1.556 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.556 * [taylor]: Taking taylor expansion of re in re 1.557 * [taylor]: Taking taylor expansion of 0 in im 1.558 * [taylor]: Taking taylor expansion of 0 in im 1.561 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.561 * [taylor]: Taking taylor expansion of 1/2 in im 1.561 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.561 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.561 * [taylor]: Taking taylor expansion of im in im 1.565 * [taylor]: Taking taylor expansion of 0 in im 1.567 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 2 1 1 2) 1.567 * [approximate]: Taking taylor expansion of (pow (hypot re im) 1/3) in (re im) around 0 1.567 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in im 1.567 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in im 1.567 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in im 1.567 * [taylor]: Taking taylor expansion of 1/3 in im 1.567 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im 1.567 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.567 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.567 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.567 * [taylor]: Taking taylor expansion of (* re re) in im 1.567 * [taylor]: Taking taylor expansion of re in im 1.567 * [taylor]: Taking taylor expansion of re in im 1.567 * [taylor]: Taking taylor expansion of (* im im) in im 1.567 * [taylor]: Taking taylor expansion of im in im 1.567 * [taylor]: Taking taylor expansion of im in im 1.568 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 1.568 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 1.568 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 1.568 * [taylor]: Taking taylor expansion of 1/3 in re 1.568 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 1.568 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.569 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.569 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.569 * [taylor]: Taking taylor expansion of (* re re) in re 1.569 * [taylor]: Taking taylor expansion of re in re 1.569 * [taylor]: Taking taylor expansion of re in re 1.569 * [taylor]: Taking taylor expansion of (* im im) in re 1.569 * [taylor]: Taking taylor expansion of im in re 1.569 * [taylor]: Taking taylor expansion of im in re 1.570 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 1.570 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 1.570 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 1.570 * [taylor]: Taking taylor expansion of 1/3 in re 1.570 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 1.570 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.570 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.570 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.570 * [taylor]: Taking taylor expansion of (* re re) in re 1.570 * [taylor]: Taking taylor expansion of re in re 1.570 * [taylor]: Taking taylor expansion of re in re 1.570 * [taylor]: Taking taylor expansion of (* im im) in re 1.570 * [taylor]: Taking taylor expansion of im in re 1.570 * [taylor]: Taking taylor expansion of im in re 1.571 * [taylor]: Taking taylor expansion of (pow im 1/3) in im 1.571 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log im))) in im 1.571 * [taylor]: Taking taylor expansion of (* 1/3 (log im)) in im 1.571 * [taylor]: Taking taylor expansion of 1/3 in im 1.571 * [taylor]: Taking taylor expansion of (log im) in im 1.571 * [taylor]: Taking taylor expansion of im in im 1.573 * [taylor]: Taking taylor expansion of 0 in im 1.578 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) in im 1.578 * [taylor]: Taking taylor expansion of 1/6 in im 1.578 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im 1.578 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im 1.578 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im 1.578 * [taylor]: Taking taylor expansion of 1/3 in im 1.578 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 1.578 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 1.578 * [taylor]: Taking taylor expansion of (pow im 5) in im 1.578 * [taylor]: Taking taylor expansion of im in im 1.587 * [taylor]: Taking taylor expansion of 0 in im 1.594 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in (re im) around 0 1.594 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in im 1.595 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in im 1.595 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in im 1.595 * [taylor]: Taking taylor expansion of 1/3 in im 1.595 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im 1.595 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.595 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.595 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.595 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.595 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.595 * [taylor]: Taking taylor expansion of re in im 1.595 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.595 * [taylor]: Taking taylor expansion of re in im 1.595 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.595 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.595 * [taylor]: Taking taylor expansion of im in im 1.595 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.595 * [taylor]: Taking taylor expansion of im in im 1.603 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 1.603 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 1.603 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 1.603 * [taylor]: Taking taylor expansion of 1/3 in re 1.603 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 1.603 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.603 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.603 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.603 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.603 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.603 * [taylor]: Taking taylor expansion of re in re 1.603 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.603 * [taylor]: Taking taylor expansion of re in re 1.604 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.604 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.604 * [taylor]: Taking taylor expansion of im in re 1.604 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.604 * [taylor]: Taking taylor expansion of im in re 1.607 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 1.607 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 1.607 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 1.607 * [taylor]: Taking taylor expansion of 1/3 in re 1.607 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 1.607 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.607 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.607 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.607 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.607 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.607 * [taylor]: Taking taylor expansion of re in re 1.607 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.607 * [taylor]: Taking taylor expansion of re in re 1.607 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.607 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.607 * [taylor]: Taking taylor expansion of im in re 1.607 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.607 * [taylor]: Taking taylor expansion of im in re 1.610 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 1.610 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 1.610 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 1.610 * [taylor]: Taking taylor expansion of -1/3 in im 1.610 * [taylor]: Taking taylor expansion of (log re) in im 1.610 * [taylor]: Taking taylor expansion of re in im 1.612 * [taylor]: Taking taylor expansion of 0 in im 1.618 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 1.618 * [taylor]: Taking taylor expansion of 1/6 in im 1.618 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 1.618 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 1.618 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 1.618 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 1.618 * [taylor]: Taking taylor expansion of 1/3 in im 1.618 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 1.618 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.618 * [taylor]: Taking taylor expansion of re in im 1.618 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.618 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.618 * [taylor]: Taking taylor expansion of im in im 1.633 * [taylor]: Taking taylor expansion of 0 in im 1.634 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in (re im) around 0 1.634 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in im 1.634 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in im 1.634 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in im 1.634 * [taylor]: Taking taylor expansion of 1/3 in im 1.634 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im 1.634 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.634 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.634 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.634 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.634 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.634 * [taylor]: Taking taylor expansion of -1 in im 1.634 * [taylor]: Taking taylor expansion of re in im 1.634 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.634 * [taylor]: Taking taylor expansion of -1 in im 1.634 * [taylor]: Taking taylor expansion of re in im 1.634 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.634 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.634 * [taylor]: Taking taylor expansion of -1 in im 1.634 * [taylor]: Taking taylor expansion of im in im 1.634 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.634 * [taylor]: Taking taylor expansion of -1 in im 1.634 * [taylor]: Taking taylor expansion of im in im 1.637 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 1.637 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 1.637 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 1.637 * [taylor]: Taking taylor expansion of 1/3 in re 1.637 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 1.638 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.638 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.638 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.638 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.638 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.638 * [taylor]: Taking taylor expansion of -1 in re 1.638 * [taylor]: Taking taylor expansion of re in re 1.638 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.638 * [taylor]: Taking taylor expansion of -1 in re 1.638 * [taylor]: Taking taylor expansion of re in re 1.638 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.638 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.638 * [taylor]: Taking taylor expansion of -1 in re 1.638 * [taylor]: Taking taylor expansion of im in re 1.638 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.638 * [taylor]: Taking taylor expansion of -1 in re 1.638 * [taylor]: Taking taylor expansion of im in re 1.641 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 1.641 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 1.641 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 1.641 * [taylor]: Taking taylor expansion of 1/3 in re 1.641 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 1.641 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.641 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.641 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.641 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.641 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.642 * [taylor]: Taking taylor expansion of -1 in re 1.642 * [taylor]: Taking taylor expansion of re in re 1.642 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.642 * [taylor]: Taking taylor expansion of -1 in re 1.642 * [taylor]: Taking taylor expansion of re in re 1.642 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.642 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.642 * [taylor]: Taking taylor expansion of -1 in re 1.642 * [taylor]: Taking taylor expansion of im in re 1.642 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.642 * [taylor]: Taking taylor expansion of -1 in re 1.642 * [taylor]: Taking taylor expansion of im in re 1.645 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 1.645 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 1.645 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 1.645 * [taylor]: Taking taylor expansion of -1/3 in im 1.645 * [taylor]: Taking taylor expansion of (log re) in im 1.645 * [taylor]: Taking taylor expansion of re in im 1.647 * [taylor]: Taking taylor expansion of 0 in im 1.653 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 1.653 * [taylor]: Taking taylor expansion of 1/6 in im 1.653 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 1.653 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 1.653 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 1.653 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 1.653 * [taylor]: Taking taylor expansion of 1/3 in im 1.653 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 1.653 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.653 * [taylor]: Taking taylor expansion of re in im 1.653 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.653 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.653 * [taylor]: Taking taylor expansion of im in im 1.668 * [taylor]: Taking taylor expansion of 0 in im 1.668 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 2 1 1 1 2) 1.668 * [approximate]: Taking taylor expansion of (pow (hypot re im) 1/3) in (re im) around 0 1.668 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in im 1.668 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in im 1.668 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in im 1.668 * [taylor]: Taking taylor expansion of 1/3 in im 1.668 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im 1.668 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.669 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.669 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.669 * [taylor]: Taking taylor expansion of (* re re) in im 1.669 * [taylor]: Taking taylor expansion of re in im 1.669 * [taylor]: Taking taylor expansion of re in im 1.669 * [taylor]: Taking taylor expansion of (* im im) in im 1.669 * [taylor]: Taking taylor expansion of im in im 1.669 * [taylor]: Taking taylor expansion of im in im 1.670 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 1.670 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 1.670 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 1.670 * [taylor]: Taking taylor expansion of 1/3 in re 1.670 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 1.670 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.670 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.670 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.670 * [taylor]: Taking taylor expansion of (* re re) in re 1.670 * [taylor]: Taking taylor expansion of re in re 1.670 * [taylor]: Taking taylor expansion of re in re 1.670 * [taylor]: Taking taylor expansion of (* im im) in re 1.670 * [taylor]: Taking taylor expansion of im in re 1.670 * [taylor]: Taking taylor expansion of im in re 1.671 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 1.671 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 1.671 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 1.671 * [taylor]: Taking taylor expansion of 1/3 in re 1.671 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 1.671 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.671 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.671 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.671 * [taylor]: Taking taylor expansion of (* re re) in re 1.671 * [taylor]: Taking taylor expansion of re in re 1.671 * [taylor]: Taking taylor expansion of re in re 1.671 * [taylor]: Taking taylor expansion of (* im im) in re 1.671 * [taylor]: Taking taylor expansion of im in re 1.671 * [taylor]: Taking taylor expansion of im in re 1.673 * [taylor]: Taking taylor expansion of (pow im 1/3) in im 1.673 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log im))) in im 1.673 * [taylor]: Taking taylor expansion of (* 1/3 (log im)) in im 1.673 * [taylor]: Taking taylor expansion of 1/3 in im 1.673 * [taylor]: Taking taylor expansion of (log im) in im 1.673 * [taylor]: Taking taylor expansion of im in im 1.675 * [taylor]: Taking taylor expansion of 0 in im 1.679 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) in im 1.679 * [taylor]: Taking taylor expansion of 1/6 in im 1.679 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im 1.679 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im 1.679 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im 1.679 * [taylor]: Taking taylor expansion of 1/3 in im 1.679 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 1.679 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 1.679 * [taylor]: Taking taylor expansion of (pow im 5) in im 1.679 * [taylor]: Taking taylor expansion of im in im 1.693 * [taylor]: Taking taylor expansion of 0 in im 1.701 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in (re im) around 0 1.701 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in im 1.701 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in im 1.701 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in im 1.701 * [taylor]: Taking taylor expansion of 1/3 in im 1.701 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im 1.701 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.701 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.701 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.701 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.701 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.701 * [taylor]: Taking taylor expansion of re in im 1.701 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.701 * [taylor]: Taking taylor expansion of re in im 1.701 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.701 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.701 * [taylor]: Taking taylor expansion of im in im 1.701 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.701 * [taylor]: Taking taylor expansion of im in im 1.704 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 1.704 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 1.704 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 1.704 * [taylor]: Taking taylor expansion of 1/3 in re 1.705 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 1.705 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.705 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.705 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.705 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.705 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.705 * [taylor]: Taking taylor expansion of re in re 1.705 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.705 * [taylor]: Taking taylor expansion of re in re 1.705 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.705 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.705 * [taylor]: Taking taylor expansion of im in re 1.705 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.705 * [taylor]: Taking taylor expansion of im in re 1.708 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 1.708 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 1.708 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 1.708 * [taylor]: Taking taylor expansion of 1/3 in re 1.708 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 1.708 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.708 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.708 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.708 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.708 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.708 * [taylor]: Taking taylor expansion of re in re 1.709 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.709 * [taylor]: Taking taylor expansion of re in re 1.709 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.709 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.709 * [taylor]: Taking taylor expansion of im in re 1.709 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.709 * [taylor]: Taking taylor expansion of im in re 1.712 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 1.712 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 1.712 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 1.712 * [taylor]: Taking taylor expansion of -1/3 in im 1.712 * [taylor]: Taking taylor expansion of (log re) in im 1.712 * [taylor]: Taking taylor expansion of re in im 1.714 * [taylor]: Taking taylor expansion of 0 in im 1.719 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 1.719 * [taylor]: Taking taylor expansion of 1/6 in im 1.719 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 1.719 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 1.719 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 1.719 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 1.719 * [taylor]: Taking taylor expansion of 1/3 in im 1.719 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 1.719 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.719 * [taylor]: Taking taylor expansion of re in im 1.720 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.720 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.720 * [taylor]: Taking taylor expansion of im in im 1.735 * [taylor]: Taking taylor expansion of 0 in im 1.735 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in (re im) around 0 1.735 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in im 1.735 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in im 1.735 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in im 1.735 * [taylor]: Taking taylor expansion of 1/3 in im 1.735 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im 1.735 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.735 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.735 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.735 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.735 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.735 * [taylor]: Taking taylor expansion of -1 in im 1.735 * [taylor]: Taking taylor expansion of re in im 1.735 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.735 * [taylor]: Taking taylor expansion of -1 in im 1.735 * [taylor]: Taking taylor expansion of re in im 1.735 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.735 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.735 * [taylor]: Taking taylor expansion of -1 in im 1.735 * [taylor]: Taking taylor expansion of im in im 1.736 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.736 * [taylor]: Taking taylor expansion of -1 in im 1.736 * [taylor]: Taking taylor expansion of im in im 1.739 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 1.739 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 1.739 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 1.739 * [taylor]: Taking taylor expansion of 1/3 in re 1.739 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 1.739 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.739 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.739 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.739 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.739 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.739 * [taylor]: Taking taylor expansion of -1 in re 1.739 * [taylor]: Taking taylor expansion of re in re 1.739 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.739 * [taylor]: Taking taylor expansion of -1 in re 1.739 * [taylor]: Taking taylor expansion of re in re 1.740 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.740 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.740 * [taylor]: Taking taylor expansion of -1 in re 1.740 * [taylor]: Taking taylor expansion of im in re 1.740 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.740 * [taylor]: Taking taylor expansion of -1 in re 1.740 * [taylor]: Taking taylor expansion of im in re 1.743 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 1.743 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 1.743 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 1.743 * [taylor]: Taking taylor expansion of 1/3 in re 1.743 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 1.743 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.743 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.743 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.743 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.743 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.743 * [taylor]: Taking taylor expansion of -1 in re 1.743 * [taylor]: Taking taylor expansion of re in re 1.743 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.743 * [taylor]: Taking taylor expansion of -1 in re 1.743 * [taylor]: Taking taylor expansion of re in re 1.744 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.744 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.744 * [taylor]: Taking taylor expansion of -1 in re 1.744 * [taylor]: Taking taylor expansion of im in re 1.744 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.744 * [taylor]: Taking taylor expansion of -1 in re 1.744 * [taylor]: Taking taylor expansion of im in re 1.747 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 1.747 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 1.747 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 1.747 * [taylor]: Taking taylor expansion of -1/3 in im 1.747 * [taylor]: Taking taylor expansion of (log re) in im 1.747 * [taylor]: Taking taylor expansion of re in im 1.749 * [taylor]: Taking taylor expansion of 0 in im 1.754 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 1.754 * [taylor]: Taking taylor expansion of 1/6 in im 1.754 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 1.754 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 1.754 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 1.754 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 1.754 * [taylor]: Taking taylor expansion of 1/3 in im 1.754 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 1.754 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.754 * [taylor]: Taking taylor expansion of re in im 1.755 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.755 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.755 * [taylor]: Taking taylor expansion of im in im 1.770 * [taylor]: Taking taylor expansion of 0 in im 1.770 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 2 1 1 1 1) 1.770 * [approximate]: Taking taylor expansion of (pow (hypot re im) 1/3) in (re im) around 0 1.770 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in im 1.770 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in im 1.770 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in im 1.770 * [taylor]: Taking taylor expansion of 1/3 in im 1.770 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im 1.770 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.770 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.770 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.770 * [taylor]: Taking taylor expansion of (* re re) in im 1.770 * [taylor]: Taking taylor expansion of re in im 1.770 * [taylor]: Taking taylor expansion of re in im 1.770 * [taylor]: Taking taylor expansion of (* im im) in im 1.770 * [taylor]: Taking taylor expansion of im in im 1.770 * [taylor]: Taking taylor expansion of im in im 1.771 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 1.771 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 1.771 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 1.771 * [taylor]: Taking taylor expansion of 1/3 in re 1.771 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 1.771 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.772 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.772 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.772 * [taylor]: Taking taylor expansion of (* re re) in re 1.772 * [taylor]: Taking taylor expansion of re in re 1.772 * [taylor]: Taking taylor expansion of re in re 1.772 * [taylor]: Taking taylor expansion of (* im im) in re 1.772 * [taylor]: Taking taylor expansion of im in re 1.772 * [taylor]: Taking taylor expansion of im in re 1.773 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 1.773 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 1.773 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 1.773 * [taylor]: Taking taylor expansion of 1/3 in re 1.773 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 1.773 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.773 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.773 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.773 * [taylor]: Taking taylor expansion of (* re re) in re 1.773 * [taylor]: Taking taylor expansion of re in re 1.773 * [taylor]: Taking taylor expansion of re in re 1.773 * [taylor]: Taking taylor expansion of (* im im) in re 1.773 * [taylor]: Taking taylor expansion of im in re 1.773 * [taylor]: Taking taylor expansion of im in re 1.774 * [taylor]: Taking taylor expansion of (pow im 1/3) in im 1.774 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log im))) in im 1.774 * [taylor]: Taking taylor expansion of (* 1/3 (log im)) in im 1.774 * [taylor]: Taking taylor expansion of 1/3 in im 1.774 * [taylor]: Taking taylor expansion of (log im) in im 1.774 * [taylor]: Taking taylor expansion of im in im 1.776 * [taylor]: Taking taylor expansion of 0 in im 1.786 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) in im 1.786 * [taylor]: Taking taylor expansion of 1/6 in im 1.786 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im 1.786 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im 1.786 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im 1.786 * [taylor]: Taking taylor expansion of 1/3 in im 1.786 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 1.786 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 1.786 * [taylor]: Taking taylor expansion of (pow im 5) in im 1.786 * [taylor]: Taking taylor expansion of im in im 1.795 * [taylor]: Taking taylor expansion of 0 in im 1.802 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in (re im) around 0 1.803 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in im 1.803 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in im 1.803 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in im 1.803 * [taylor]: Taking taylor expansion of 1/3 in im 1.803 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im 1.803 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.803 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.803 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.803 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.803 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.803 * [taylor]: Taking taylor expansion of re in im 1.803 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.803 * [taylor]: Taking taylor expansion of re in im 1.803 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.803 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.803 * [taylor]: Taking taylor expansion of im in im 1.803 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.803 * [taylor]: Taking taylor expansion of im in im 1.806 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 1.806 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 1.806 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 1.806 * [taylor]: Taking taylor expansion of 1/3 in re 1.806 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 1.806 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.806 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.806 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.806 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.806 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.806 * [taylor]: Taking taylor expansion of re in re 1.807 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.807 * [taylor]: Taking taylor expansion of re in re 1.807 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.807 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.807 * [taylor]: Taking taylor expansion of im in re 1.807 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.807 * [taylor]: Taking taylor expansion of im in re 1.810 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 1.810 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 1.810 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 1.810 * [taylor]: Taking taylor expansion of 1/3 in re 1.810 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 1.810 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.810 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.810 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.810 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.810 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.810 * [taylor]: Taking taylor expansion of re in re 1.810 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.810 * [taylor]: Taking taylor expansion of re in re 1.811 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.811 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.811 * [taylor]: Taking taylor expansion of im in re 1.811 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.811 * [taylor]: Taking taylor expansion of im in re 1.814 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 1.814 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 1.814 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 1.814 * [taylor]: Taking taylor expansion of -1/3 in im 1.814 * [taylor]: Taking taylor expansion of (log re) in im 1.814 * [taylor]: Taking taylor expansion of re in im 1.816 * [taylor]: Taking taylor expansion of 0 in im 1.821 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 1.821 * [taylor]: Taking taylor expansion of 1/6 in im 1.821 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 1.821 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 1.821 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 1.821 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 1.821 * [taylor]: Taking taylor expansion of 1/3 in im 1.821 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 1.821 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.821 * [taylor]: Taking taylor expansion of re in im 1.821 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.821 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.821 * [taylor]: Taking taylor expansion of im in im 1.836 * [taylor]: Taking taylor expansion of 0 in im 1.837 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in (re im) around 0 1.837 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in im 1.837 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in im 1.837 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in im 1.837 * [taylor]: Taking taylor expansion of 1/3 in im 1.837 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im 1.837 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.837 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.837 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.837 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.837 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.837 * [taylor]: Taking taylor expansion of -1 in im 1.837 * [taylor]: Taking taylor expansion of re in im 1.837 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.837 * [taylor]: Taking taylor expansion of -1 in im 1.837 * [taylor]: Taking taylor expansion of re in im 1.837 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.837 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.837 * [taylor]: Taking taylor expansion of -1 in im 1.837 * [taylor]: Taking taylor expansion of im in im 1.837 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.837 * [taylor]: Taking taylor expansion of -1 in im 1.837 * [taylor]: Taking taylor expansion of im in im 1.840 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 1.840 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 1.840 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 1.841 * [taylor]: Taking taylor expansion of 1/3 in re 1.841 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 1.841 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.841 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.841 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.841 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.841 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.841 * [taylor]: Taking taylor expansion of -1 in re 1.841 * [taylor]: Taking taylor expansion of re in re 1.841 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.841 * [taylor]: Taking taylor expansion of -1 in re 1.841 * [taylor]: Taking taylor expansion of re in re 1.841 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.841 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.841 * [taylor]: Taking taylor expansion of -1 in re 1.841 * [taylor]: Taking taylor expansion of im in re 1.841 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.841 * [taylor]: Taking taylor expansion of -1 in re 1.841 * [taylor]: Taking taylor expansion of im in re 1.844 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 1.844 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 1.844 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 1.844 * [taylor]: Taking taylor expansion of 1/3 in re 1.844 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 1.844 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.845 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.845 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.845 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.845 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.845 * [taylor]: Taking taylor expansion of -1 in re 1.845 * [taylor]: Taking taylor expansion of re in re 1.845 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.845 * [taylor]: Taking taylor expansion of -1 in re 1.845 * [taylor]: Taking taylor expansion of re in re 1.845 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.845 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.845 * [taylor]: Taking taylor expansion of -1 in re 1.845 * [taylor]: Taking taylor expansion of im in re 1.845 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.845 * [taylor]: Taking taylor expansion of -1 in re 1.845 * [taylor]: Taking taylor expansion of im in re 1.848 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 1.848 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 1.848 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 1.848 * [taylor]: Taking taylor expansion of -1/3 in im 1.848 * [taylor]: Taking taylor expansion of (log re) in im 1.848 * [taylor]: Taking taylor expansion of re in im 1.850 * [taylor]: Taking taylor expansion of 0 in im 1.856 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 1.856 * [taylor]: Taking taylor expansion of 1/6 in im 1.856 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 1.856 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 1.856 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 1.856 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 1.856 * [taylor]: Taking taylor expansion of 1/3 in im 1.856 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 1.856 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.856 * [taylor]: Taking taylor expansion of re in im 1.856 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.856 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.856 * [taylor]: Taking taylor expansion of im in im 1.877 * [taylor]: Taking taylor expansion of 0 in im 1.877 * * * [progress]: simplifying candidates 1.878 * [simplify]: Simplifying using # : (expm1 (+ (* 1 (* (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (sqrt (hypot re im)))) re)) (log1p (+ (* 1 (* (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (sqrt (hypot re im)))) re)) (* (exp (* 1 (* (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (sqrt (hypot re im))))) (exp re)) (log (+ (* 1 (* (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (sqrt (hypot re im)))) re)) (exp (+ (* 1 (* (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (sqrt (hypot re im)))) re)) (* (cbrt (+ (* 1 (* (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (sqrt (hypot re im)))) re)) (cbrt (+ (* 1 (* (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (sqrt (hypot re im)))) re))) (cbrt (+ (* 1 (* (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (sqrt (hypot re im)))) re)) (* (* (+ (* 1 (* (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (sqrt (hypot re im)))) re) (+ (* 1 (* (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (sqrt (hypot re im)))) re)) (+ (* 1 (* (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (sqrt (hypot re im)))) re)) (sqrt (+ (* 1 (* (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (sqrt (hypot re im)))) re)) (sqrt (+ (* 1 (* (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (sqrt (hypot re im)))) re)) (+ (pow (* 1 (* (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (sqrt (hypot re im)))) 3) (pow re 3)) (+ (* (* 1 (* (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (sqrt (hypot re im)))) (* 1 (* (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (sqrt (hypot re im))))) (- (* re re) (* (* 1 (* (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (sqrt (hypot re im)))) re))) (- (* (* 1 (* (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (sqrt (hypot re im)))) (* 1 (* (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (sqrt (hypot re im))))) (* re re)) (- (* 1 (* (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (sqrt (hypot re im)))) re) (+ (* (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (sqrt (hypot re im))) re) (expm1 (cbrt (hypot re im))) (log1p (cbrt (hypot re im))) (log (cbrt (hypot re im))) (exp (cbrt (hypot re im))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt 1) (cbrt (hypot re im)) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (expm1 (cbrt (hypot re im))) (log1p (cbrt (hypot re im))) (log (cbrt (hypot re im))) (exp (cbrt (hypot re im))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt 1) (cbrt (hypot re im)) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (expm1 (cbrt (hypot re im))) (log1p (cbrt (hypot re im))) (log (cbrt (hypot re im))) (exp (cbrt (hypot re im))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt 1) (cbrt (hypot re im)) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (+ re im) (* 2 re) 0 (+ (pow im 1/3) (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3)))) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) (+ (pow im 1/3) (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3)))) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) (+ (pow im 1/3) (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3)))) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) 1.878 * [simplify]: Sending expressions to egg_math: (expm1 (+ (* 1 (* (sqrt (* (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1)))) (sqrt (hypot h0 h1)))) h0)) (log1p (+ (* 1 (* (sqrt (* (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1)))) (sqrt (hypot h0 h1)))) h0)) (* (exp (* 1 (* (sqrt (* (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1)))) (sqrt (hypot h0 h1))))) (exp h0)) (log (+ (* 1 (* (sqrt (* (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1)))) (sqrt (hypot h0 h1)))) h0)) (exp (+ (* 1 (* (sqrt (* (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1)))) (sqrt (hypot h0 h1)))) h0)) (* (cbrt (+ (* 1 (* (sqrt (* (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1)))) (sqrt (hypot h0 h1)))) h0)) (cbrt (+ (* 1 (* (sqrt (* (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1)))) (sqrt (hypot h0 h1)))) h0))) (cbrt (+ (* 1 (* (sqrt (* (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1)))) (sqrt (hypot h0 h1)))) h0)) (* (* (+ (* 1 (* (sqrt (* (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1)))) (sqrt (hypot h0 h1)))) h0) (+ (* 1 (* (sqrt (* (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1)))) (sqrt (hypot h0 h1)))) h0)) (+ (* 1 (* (sqrt (* (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1)))) (sqrt (hypot h0 h1)))) h0)) (sqrt (+ (* 1 (* (sqrt (* (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1)))) (sqrt (hypot h0 h1)))) h0)) (sqrt (+ (* 1 (* (sqrt (* (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1)))) (sqrt (hypot h0 h1)))) h0)) (+ (pow (* 1 (* (sqrt (* (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1)))) (sqrt (hypot h0 h1)))) 3) (pow h0 3)) (+ (* (* 1 (* (sqrt (* (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1)))) (sqrt (hypot h0 h1)))) (* 1 (* (sqrt (* (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1)))) (sqrt (hypot h0 h1))))) (- (* h0 h0) (* (* 1 (* (sqrt (* (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1)))) (sqrt (hypot h0 h1)))) h0))) (- (* (* 1 (* (sqrt (* (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1)))) (sqrt (hypot h0 h1)))) (* 1 (* (sqrt (* (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1)))) (sqrt (hypot h0 h1))))) (* h0 h0)) (- (* 1 (* (sqrt (* (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1)))) (sqrt (hypot h0 h1)))) h0) (+ (* (sqrt (* (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1)))) (sqrt (hypot h0 h1))) h0) (expm1 (cbrt (hypot h0 h1))) (log1p (cbrt (hypot h0 h1))) (log (cbrt (hypot h0 h1))) (exp (cbrt (hypot h0 h1))) (cbrt (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1)))) (cbrt (cbrt (hypot h0 h1))) (cbrt (sqrt (hypot h0 h1))) (cbrt (sqrt (hypot h0 h1))) (cbrt 1) (cbrt (hypot h0 h1)) (* (cbrt (cbrt (hypot h0 h1))) (cbrt (cbrt (hypot h0 h1)))) (cbrt (cbrt (hypot h0 h1))) (* (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1))) (sqrt (cbrt (hypot h0 h1))) (sqrt (cbrt (hypot h0 h1))) (expm1 (cbrt (hypot h0 h1))) (log1p (cbrt (hypot h0 h1))) (log (cbrt (hypot h0 h1))) (exp (cbrt (hypot h0 h1))) (cbrt (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1)))) (cbrt (cbrt (hypot h0 h1))) (cbrt (sqrt (hypot h0 h1))) (cbrt (sqrt (hypot h0 h1))) (cbrt 1) (cbrt (hypot h0 h1)) (* (cbrt (cbrt (hypot h0 h1))) (cbrt (cbrt (hypot h0 h1)))) (cbrt (cbrt (hypot h0 h1))) (* (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1))) (sqrt (cbrt (hypot h0 h1))) (sqrt (cbrt (hypot h0 h1))) (expm1 (cbrt (hypot h0 h1))) (log1p (cbrt (hypot h0 h1))) (log (cbrt (hypot h0 h1))) (exp (cbrt (hypot h0 h1))) (cbrt (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1)))) (cbrt (cbrt (hypot h0 h1))) (cbrt (sqrt (hypot h0 h1))) (cbrt (sqrt (hypot h0 h1))) (cbrt 1) (cbrt (hypot h0 h1)) (* (cbrt (cbrt (hypot h0 h1))) (cbrt (cbrt (hypot h0 h1)))) (cbrt (cbrt (hypot h0 h1))) (* (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1))) (sqrt (cbrt (hypot h0 h1))) (sqrt (cbrt (hypot h0 h1))) (+ h0 h1) (* 2 h0) 0 (+ (pow h1 1/3) (* 1/6 (* (pow h0 2) (pow (/ 1 (pow h1 5)) 1/3)))) (pow (/ 1 h0) -1/3) (pow (/ -1 h0) -1/3) (+ (pow h1 1/3) (* 1/6 (* (pow h0 2) (pow (/ 1 (pow h1 5)) 1/3)))) (pow (/ 1 h0) -1/3) (pow (/ -1 h0) -1/3) (+ (pow h1 1/3) (* 1/6 (* (pow h0 2) (pow (/ 1 (pow h1 5)) 1/3)))) (pow (/ 1 h0) -1/3) (pow (/ -1 h0) -1/3) 1.882 * * [simplify]: iteration 0 : 157 enodes (cost 505 ) 1.886 * * [simplify]: iteration 1 : 535 enodes (cost 444 ) 1.899 * * [simplify]: iteration 2 : 2710 enodes (cost 418 ) 1.942 * * [simplify]: iteration 3 : 5001 enodes (cost 313 ) 1.944 * [simplify]: Simplified to: (expm1 (+ (* 1 (* (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (sqrt (hypot re im)))) re)) (log1p (+ (* 1 (* (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (sqrt (hypot re im)))) re)) (pow E (fma 1 re (hypot re im))) (log (fma 1 re (hypot re im))) (pow E (fma 1 re (hypot re im))) (* (cbrt (+ (* 1 (* (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (sqrt (hypot re im)))) re)) (cbrt (+ (* 1 (* (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (sqrt (hypot re im)))) re))) (cbrt (+ (* 1 (* (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (sqrt (hypot re im)))) re)) (pow (fma (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (sqrt (hypot re im)) re) 3) (hypot (sqrt (hypot re im)) (pow re 1/2)) (hypot (sqrt (hypot re im)) (pow re 1/2)) (fma (pow (sqrt (hypot re im)) 3) (pow (sqrt (hypot re im)) 3) (pow re 3)) (fma (pow (sqrt (hypot re im)) 3) (sqrt (hypot re im)) (fma (* (- 1) re) (hypot re im) (pow re 2))) (fma (pow (sqrt (hypot re im)) 3) (sqrt (hypot re im)) (- (* re re))) (fma (- (pow re 1/2)) (pow re 1/2) (hypot re im)) (fma 1 re (hypot re im)) (expm1 (cbrt (hypot re im))) (log1p (cbrt (hypot re im))) (log (cbrt (hypot re im))) (exp (cbrt (hypot re im))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))) 1 (cbrt (hypot re im)) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (hypot re im) (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (expm1 (cbrt (hypot re im))) (log1p (cbrt (hypot re im))) (log (cbrt (hypot re im))) (exp (cbrt (hypot re im))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))) 1 (cbrt (hypot re im)) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (hypot re im) (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (expm1 (cbrt (hypot re im))) (log1p (cbrt (hypot re im))) (log (cbrt (hypot re im))) (exp (cbrt (hypot re im))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))) 1 (cbrt (hypot re im)) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (hypot re im) (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (+ re im) (* 2 re) 0 (fma (* 1/6 (pow re 2)) (pow (/ 1 (pow im 5)) 1/3) (pow im 1/3)) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) (fma (* 1/6 (pow re 2)) (pow (/ 1 (pow im 5)) 1/3) (pow im 1/3)) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) (fma (* 1/6 (pow re 2)) (pow (/ 1 (pow im 5)) 1/3) (pow im 1/3)) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) 1.945 * * * [progress]: adding candidates to table 2.198 * [progress]: [Phase 3 of 3] Extracting. 2.199 * * [regime]: Finding splitpoints for: (# # # # # # #) 2.201 * * * [regime-changes]: Trying 2 branch expressions: (im re) 2.202 * * * * [regimes]: Trying to branch on im from (# # # # # # #) 2.232 * * * * [regimes]: Trying to branch on re from (# # # # # # #) 2.284 * * * [regime]: Found split indices: #