2.402 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.023 * * * [progress]: [2/2] Setting up program. 0.025 * [progress]: [Phase 2 of 3] Improving. 0.026 * [simplify]: Simplifying using # : (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.028 * * [simplify]: iteration 0 : 19 enodes (cost 8 ) 0.029 * * [simplify]: iteration 1 : 28 enodes (cost 8 ) 0.030 * * [simplify]: iteration 2 : 36 enodes (cost 8 ) 0.031 * * [simplify]: iteration 3 : 44 enodes (cost 8 ) 0.033 * * [simplify]: iteration 4 : 46 enodes (cost 8 ) 0.034 * * [simplify]: iteration 5 : 46 enodes (cost 8 ) 0.034 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.035 * * [progress]: iteration 1 / 4 0.035 * * * [progress]: picking best candidate 0.037 * * * * [pick]: Picked # 0.037 * * * [progress]: localizing error 0.047 * * * [progress]: generating rewritten candidates 0.047 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.050 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.071 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 2 1 1) 0.075 * * * [progress]: generating series expansions 0.075 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.076 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.076 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.076 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.076 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.076 * [taylor]: Taking taylor expansion of re in im 0.076 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.076 * [taylor]: Taking taylor expansion of im in im 0.077 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.077 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.077 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.077 * [taylor]: Taking taylor expansion of re in re 0.077 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.077 * [taylor]: Taking taylor expansion of im in re 0.077 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.077 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.077 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.077 * [taylor]: Taking taylor expansion of re in re 0.077 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.077 * [taylor]: Taking taylor expansion of im in re 0.078 * [taylor]: Taking taylor expansion of im in im 0.078 * [taylor]: Taking taylor expansion of 0 in im 0.080 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.080 * [taylor]: Taking taylor expansion of 1/2 in im 0.080 * [taylor]: Taking taylor expansion of im in im 0.082 * [taylor]: Taking taylor expansion of 0 in im 0.082 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.082 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.082 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.082 * [taylor]: Taking taylor expansion of im in im 0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.083 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.083 * [taylor]: Taking taylor expansion of re in im 0.085 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.085 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.085 * [taylor]: Taking taylor expansion of im in re 0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.085 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.085 * [taylor]: Taking taylor expansion of re in re 0.087 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.087 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.087 * [taylor]: Taking taylor expansion of im in re 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.088 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.088 * [taylor]: Taking taylor expansion of re in re 0.093 * [taylor]: Taking taylor expansion of 1 in im 0.093 * [taylor]: Taking taylor expansion of 0 in im 0.096 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.096 * [taylor]: Taking taylor expansion of 1/2 in im 0.096 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.096 * [taylor]: Taking taylor expansion of im in im 0.099 * [taylor]: Taking taylor expansion of 0 in im 0.100 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.100 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.100 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.100 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.100 * [taylor]: Taking taylor expansion of im in im 0.101 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.101 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.101 * [taylor]: Taking taylor expansion of re in im 0.103 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.103 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.103 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.103 * [taylor]: Taking taylor expansion of im in re 0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.103 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.103 * [taylor]: Taking taylor expansion of re in re 0.105 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.105 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.105 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.105 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.105 * [taylor]: Taking taylor expansion of im in re 0.105 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.105 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.105 * [taylor]: Taking taylor expansion of re in re 0.108 * [taylor]: Taking taylor expansion of 1 in im 0.108 * [taylor]: Taking taylor expansion of 0 in im 0.109 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.109 * [taylor]: Taking taylor expansion of 1/2 in im 0.110 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.110 * [taylor]: Taking taylor expansion of im in im 0.113 * [taylor]: Taking taylor expansion of 0 in im 0.114 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 0.114 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 0.114 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.114 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.114 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.114 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.114 * [taylor]: Taking taylor expansion of re in im 0.114 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.114 * [taylor]: Taking taylor expansion of im in im 0.114 * [taylor]: Taking taylor expansion of re in im 0.114 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.115 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.115 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.115 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.115 * [taylor]: Taking taylor expansion of re in re 0.115 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.115 * [taylor]: Taking taylor expansion of im in re 0.115 * [taylor]: Taking taylor expansion of re in re 0.115 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.115 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.115 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.115 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.115 * [taylor]: Taking taylor expansion of re in re 0.115 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.115 * [taylor]: Taking taylor expansion of im in re 0.116 * [taylor]: Taking taylor expansion of re in re 0.116 * [taylor]: Taking taylor expansion of im in im 0.117 * [taylor]: Taking taylor expansion of -1 in im 0.118 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.118 * [taylor]: Taking taylor expansion of 1/2 in im 0.118 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.118 * [taylor]: Taking taylor expansion of im in im 0.121 * [taylor]: Taking taylor expansion of 0 in im 0.122 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.122 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.122 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.122 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.122 * [taylor]: Taking taylor expansion of im in im 0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.123 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.123 * [taylor]: Taking taylor expansion of re in im 0.125 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.125 * [taylor]: Taking taylor expansion of re in im 0.125 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.125 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.125 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.125 * [taylor]: Taking taylor expansion of im in re 0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.125 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.125 * [taylor]: Taking taylor expansion of re in re 0.127 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.127 * [taylor]: Taking taylor expansion of re in re 0.128 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 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 (/ 1 re) in re 0.131 * [taylor]: Taking taylor expansion of re in re 0.131 * [taylor]: Taking taylor expansion of 0 in im 0.132 * [taylor]: Taking taylor expansion of 0 in im 0.135 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.135 * [taylor]: Taking taylor expansion of 1/2 in im 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow im 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 0.139 * [taylor]: Taking taylor expansion of 0 in im 0.141 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.141 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.141 * [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 im 0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.141 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.141 * [taylor]: Taking taylor expansion of im in im 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.142 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.142 * [taylor]: Taking taylor expansion of re in im 0.143 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.144 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.144 * [taylor]: Taking taylor expansion of re in re 0.144 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.144 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.144 * [taylor]: Taking taylor expansion of im in re 0.144 * [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 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.146 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.146 * [taylor]: Taking taylor expansion of re in re 0.147 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.147 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.147 * [taylor]: Taking taylor expansion of im in re 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.147 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.147 * [taylor]: Taking taylor expansion of re in re 0.149 * [taylor]: Taking taylor expansion of 2 in im 0.150 * [taylor]: Taking taylor expansion of 0 in im 0.152 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.152 * [taylor]: Taking taylor expansion of 1/2 in im 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.152 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.152 * [taylor]: Taking taylor expansion of im in im 0.156 * [taylor]: Taking taylor expansion of 0 in im 0.158 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 2 1 1) 0.158 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.158 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.158 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.158 * [taylor]: Taking taylor expansion of re in im 0.158 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.158 * [taylor]: Taking taylor expansion of im in im 0.158 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.158 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.158 * [taylor]: Taking taylor expansion of re in re 0.158 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.158 * [taylor]: Taking taylor expansion of im in re 0.158 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.158 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.158 * [taylor]: Taking taylor expansion of re in re 0.158 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.158 * [taylor]: Taking taylor expansion of im in re 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 0 in im 0.160 * [taylor]: Taking taylor expansion of 1 in im 0.161 * [taylor]: Taking taylor expansion of 0 in im 0.163 * [taylor]: Taking taylor expansion of 0 in im 0.163 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.163 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.163 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.163 * [taylor]: Taking taylor expansion of im in im 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.164 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.164 * [taylor]: Taking taylor expansion of re in im 0.164 * [taylor]: Taking taylor expansion of (+ (/ 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 0.165 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.165 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.165 * [taylor]: Taking taylor expansion of im in re 0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.165 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.165 * [taylor]: Taking taylor expansion of re in re 0.166 * [taylor]: Taking taylor expansion of 1 in im 0.167 * [taylor]: Taking taylor expansion of 0 in im 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.168 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.168 * [taylor]: Taking taylor expansion of im in im 0.170 * [taylor]: Taking taylor expansion of 0 in im 0.172 * [taylor]: Taking taylor expansion of 0 in im 0.174 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.174 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.174 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.174 * [taylor]: Taking taylor expansion of im in im 0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.177 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.177 * [taylor]: Taking taylor expansion of re in im 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 0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.177 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.177 * [taylor]: Taking taylor expansion of re in re 0.178 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.178 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.178 * [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 0.179 * [taylor]: Taking taylor expansion of 1 in im 0.179 * [taylor]: Taking taylor expansion of 0 in im 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.181 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.181 * [taylor]: Taking taylor expansion of im in im 0.183 * [taylor]: Taking taylor expansion of 0 in im 0.185 * [taylor]: Taking taylor expansion of 0 in im 0.187 * * * [progress]: simplifying candidates 0.188 * [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)))) (fma (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt 1) (sqrt (+ (* re re) (* im im))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt 1) (sqrt (+ (* re re) (* im im))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt 1) (sqrt (+ (* re re) (* im im))) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma 1 (sqrt (+ (* re re) (* im im))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma 1 (sqrt (+ (* re re) (* im im))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma 1 (sqrt (+ (* re re) (* im im))) (- (* re 1))) (fma (- re) 1 (* re 1)) (expm1 (- (sqrt (+ (* re re) (* im im))) re)) (log1p (- (sqrt (+ (* re re) (* im im))) re)) (- re) (- re) (- re) (- re) (- re) (- 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))) (- re) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (- 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) (- im re) 0 (* -2 re) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 0.192 * * [simplify]: iteration 0 : 250 enodes (cost 664 ) 0.197 * * [simplify]: iteration 1 : 1037 enodes (cost 430 ) 0.220 * * [simplify]: iteration 2 : 5002 enodes (cost 381 ) 0.223 * [simplify]: Simplified to: (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (pow (exp 1) (hypot re 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)))) (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) 0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) 0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) 0 (fma (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))) (* -1 re)) 0 (fma (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))) (* -1 re)) 0 (fma (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))) (* -1 re)) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (expm1 (- (sqrt (+ (* re re) (* im im))) re)) (log1p (- (sqrt (+ (* re re) (* im im))) re)) (* -1 re) (* -1 re) (* -1 re) (* -1 re) (* -1 re) (* -1 re) (exp (- (hypot re im) re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (hypot re im) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (pow (- (hypot re im) re) 3) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (+ (- (pow re 3)) (pow (hypot re im) 3)) (fma re (+ re (hypot re im)) (fma re re (* im im))) (* -1 re) (+ (pow im 2) 0) (+ re (hypot re im)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (hypot re im) re) (* -1 re) (expm1 (+ (* re re) (* im im))) (log1p (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (pow (hypot re im) 6) (hypot re im) (hypot re im) (fma (* (pow im 4) im) im (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) (- im re) 0 (* -2 re) (fma re re (* im im)) (fma re re (* im im)) (fma re re (* im im)) 0.223 * * * [progress]: adding candidates to table 0.392 * * [progress]: iteration 2 / 4 0.392 * * * [progress]: picking best candidate 0.406 * * * * [pick]: Picked # 0.406 * * * [progress]: localizing error 0.414 * * * [progress]: generating rewritten candidates 0.414 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2 1 2 2) 0.418 * * * [progress]: generating series expansions 0.418 * * * * [progress]: [ 1 / 1 ] generating series at (2 2 1 2 2) 0.418 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 0.418 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 0.418 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.420 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.420 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.420 * [taylor]: Taking taylor expansion of (* re re) in im 0.420 * [taylor]: Taking taylor expansion of re in im 0.420 * [taylor]: Taking taylor expansion of re in im 0.420 * [taylor]: Taking taylor expansion of (* im im) in im 0.420 * [taylor]: Taking taylor expansion of im in im 0.420 * [taylor]: Taking taylor expansion of im in im 0.421 * [taylor]: Taking taylor expansion of re in im 0.421 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.421 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.421 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.421 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.421 * [taylor]: Taking taylor expansion of (* re re) in re 0.421 * [taylor]: Taking taylor expansion of re in re 0.421 * [taylor]: Taking taylor expansion of re in re 0.421 * [taylor]: Taking taylor expansion of (* im im) in re 0.421 * [taylor]: Taking taylor expansion of im in re 0.421 * [taylor]: Taking taylor expansion of im in re 0.422 * [taylor]: Taking taylor expansion of re in re 0.423 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.423 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.423 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.423 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.423 * [taylor]: Taking taylor expansion of (* re re) in re 0.423 * [taylor]: Taking taylor expansion of re in re 0.423 * [taylor]: Taking taylor expansion of re in re 0.423 * [taylor]: Taking taylor expansion of (* im im) in re 0.423 * [taylor]: Taking taylor expansion of im in re 0.423 * [taylor]: Taking taylor expansion of im in re 0.424 * [taylor]: Taking taylor expansion of re in re 0.424 * [taylor]: Taking taylor expansion of im in im 0.425 * [taylor]: Taking taylor expansion of -1 in im 0.426 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.426 * [taylor]: Taking taylor expansion of 1/2 in im 0.426 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.426 * [taylor]: Taking taylor expansion of im in im 0.429 * [taylor]: Taking taylor expansion of 0 in im 0.430 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 0.430 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.430 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.430 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.430 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.430 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.430 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.430 * [taylor]: Taking taylor expansion of re in im 0.430 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.431 * [taylor]: Taking taylor expansion of re in im 0.431 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.431 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.431 * [taylor]: Taking taylor expansion of im in im 0.431 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.431 * [taylor]: Taking taylor expansion of im in im 0.434 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.434 * [taylor]: Taking taylor expansion of re in im 0.434 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.434 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.434 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.434 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.434 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.434 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.434 * [taylor]: Taking taylor expansion of re in re 0.434 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.434 * [taylor]: Taking taylor expansion of re in re 0.435 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.435 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.435 * [taylor]: Taking taylor expansion of im in re 0.435 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.435 * [taylor]: Taking taylor expansion of im in re 0.437 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.437 * [taylor]: Taking taylor expansion of re in re 0.437 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.437 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.438 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.438 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.438 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.438 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.438 * [taylor]: Taking taylor expansion of re in re 0.438 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.438 * [taylor]: Taking taylor expansion of re in re 0.438 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.438 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.438 * [taylor]: Taking taylor expansion of im in re 0.438 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.438 * [taylor]: Taking taylor expansion of im in re 0.444 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.444 * [taylor]: Taking taylor expansion of re in re 0.445 * [taylor]: Taking taylor expansion of 0 in im 0.445 * [taylor]: Taking taylor expansion of 0 in im 0.448 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.449 * [taylor]: Taking taylor expansion of 1/2 in im 0.449 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.449 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.449 * [taylor]: Taking taylor expansion of im in im 0.453 * [taylor]: Taking taylor expansion of 0 in im 0.455 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 0.455 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 0.455 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.455 * [taylor]: Taking taylor expansion of re in im 0.455 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.455 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.455 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.455 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.455 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.455 * [taylor]: Taking taylor expansion of -1 in im 0.455 * [taylor]: Taking taylor expansion of re in im 0.455 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.455 * [taylor]: Taking taylor expansion of -1 in im 0.455 * [taylor]: Taking taylor expansion of re in im 0.455 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.455 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.455 * [taylor]: Taking taylor expansion of -1 in im 0.455 * [taylor]: Taking taylor expansion of im in im 0.456 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.456 * [taylor]: Taking taylor expansion of -1 in im 0.456 * [taylor]: Taking taylor expansion of im in im 0.458 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.458 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.458 * [taylor]: Taking taylor expansion of re in re 0.459 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.459 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.459 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.459 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.459 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.459 * [taylor]: Taking taylor expansion of -1 in re 0.459 * [taylor]: Taking taylor expansion of re in re 0.459 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.459 * [taylor]: Taking taylor expansion of -1 in re 0.459 * [taylor]: Taking taylor expansion of re in re 0.459 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.460 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.460 * [taylor]: Taking taylor expansion of -1 in re 0.460 * [taylor]: Taking taylor expansion of im in re 0.460 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.460 * [taylor]: Taking taylor expansion of -1 in re 0.460 * [taylor]: Taking taylor expansion of im in re 0.462 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.462 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.462 * [taylor]: Taking taylor expansion of re in re 0.462 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.463 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.463 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.463 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.463 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.463 * [taylor]: Taking taylor expansion of -1 in re 0.463 * [taylor]: Taking taylor expansion of re in re 0.463 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.463 * [taylor]: Taking taylor expansion of -1 in re 0.463 * [taylor]: Taking taylor expansion of re in re 0.463 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.463 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.463 * [taylor]: Taking taylor expansion of -1 in re 0.463 * [taylor]: Taking taylor expansion of im in re 0.463 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.463 * [taylor]: Taking taylor expansion of -1 in re 0.463 * [taylor]: Taking taylor expansion of im in re 0.466 * [taylor]: Taking taylor expansion of 2 in im 0.467 * [taylor]: Taking taylor expansion of 0 in im 0.470 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.470 * [taylor]: Taking taylor expansion of 1/2 in im 0.470 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.470 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.470 * [taylor]: Taking taylor expansion of im in im 0.475 * [taylor]: Taking taylor expansion of 0 in im 0.476 * * * [progress]: simplifying candidates 0.477 * [simplify]: Simplifying using # : (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma 1 (hypot re im) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma 1 (hypot re im) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma 1 (hypot re im) (- (* re 1))) (fma (- re) 1 (* re 1)) (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (- re) (- re) (/ (exp (hypot re im)) (exp re)) (log (- (hypot re im) re)) (exp (- (hypot re im) re)) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (- (pow (hypot re im) 3) (pow re 3)) (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re))) (- re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- (hypot re im) re) (- re) (- im re) 0 (* -2 re) 0.480 * * [simplify]: iteration 0 : 119 enodes (cost 199 ) 0.482 * * [simplify]: iteration 1 : 333 enodes (cost 125 ) 0.490 * * [simplify]: iteration 2 : 1490 enodes (cost 116 ) 0.521 * * [simplify]: iteration 3 : 5001 enodes (cost 85 ) 0.522 * [simplify]: Simplified to: (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (- re) (- re) (exp (- (hypot re im) re)) (log (- (hypot re im) re)) (exp (- (hypot re im) re)) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (pow (- (hypot re im) re) 3) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (- (pow (hypot re im) 3) (pow re 3)) (fma (hypot re im) (+ (hypot re im) re) (* re re)) (- re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- (hypot re im) re) (- re) (- im re) 0 (* -2 re) 0.522 * * * [progress]: adding candidates to table 0.579 * * [progress]: iteration 3 / 4 0.579 * * * [progress]: picking best candidate 0.594 * * * * [pick]: Picked # 0.594 * * * [progress]: localizing error 0.605 * * * [progress]: generating rewritten candidates 0.605 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2 1 2 2) 0.606 * * * [progress]: generating series expansions 0.606 * * * * [progress]: [ 1 / 1 ] generating series at (2 2 1 2 2) 0.606 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in (re im) around 0 0.606 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in im 0.608 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 0.608 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in im 0.608 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 0.608 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.609 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.609 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.609 * [taylor]: Taking taylor expansion of (* re re) in im 0.609 * [taylor]: Taking taylor expansion of re in im 0.609 * [taylor]: Taking taylor expansion of re in im 0.609 * [taylor]: Taking taylor expansion of (* im im) in im 0.609 * [taylor]: Taking taylor expansion of im in im 0.609 * [taylor]: Taking taylor expansion of im in im 0.610 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 0.610 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.610 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.610 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.610 * [taylor]: Taking taylor expansion of (* re re) in im 0.610 * [taylor]: Taking taylor expansion of re in im 0.610 * [taylor]: Taking taylor expansion of re in im 0.610 * [taylor]: Taking taylor expansion of (* im im) in im 0.610 * [taylor]: Taking taylor expansion of im in im 0.610 * [taylor]: Taking taylor expansion of im in im 0.611 * [taylor]: Taking taylor expansion of (- re) in im 0.611 * [taylor]: Taking taylor expansion of re in im 0.611 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re 0.611 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 0.611 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 0.612 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 0.612 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.612 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.612 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.612 * [taylor]: Taking taylor expansion of (* re re) in re 0.612 * [taylor]: Taking taylor expansion of re in re 0.612 * [taylor]: Taking taylor expansion of re in re 0.612 * [taylor]: Taking taylor expansion of (* im im) in re 0.612 * [taylor]: Taking taylor expansion of im in re 0.612 * [taylor]: Taking taylor expansion of im in re 0.613 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 0.613 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.613 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.613 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.613 * [taylor]: Taking taylor expansion of (* re re) in re 0.613 * [taylor]: Taking taylor expansion of re in re 0.613 * [taylor]: Taking taylor expansion of re in re 0.613 * [taylor]: Taking taylor expansion of (* im im) in re 0.613 * [taylor]: Taking taylor expansion of im in re 0.613 * [taylor]: Taking taylor expansion of im in re 0.614 * [taylor]: Taking taylor expansion of (- re) in re 0.614 * [taylor]: Taking taylor expansion of re in re 0.614 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re 0.614 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 0.614 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 0.614 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 0.614 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.614 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.614 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.614 * [taylor]: Taking taylor expansion of (* re re) in re 0.614 * [taylor]: Taking taylor expansion of re in re 0.614 * [taylor]: Taking taylor expansion of re in re 0.615 * [taylor]: Taking taylor expansion of (* im im) in re 0.615 * [taylor]: Taking taylor expansion of im in re 0.615 * [taylor]: Taking taylor expansion of im in re 0.616 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 0.616 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.616 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.616 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.616 * [taylor]: Taking taylor expansion of (* re re) in re 0.616 * [taylor]: Taking taylor expansion of re in re 0.616 * [taylor]: Taking taylor expansion of re in re 0.616 * [taylor]: Taking taylor expansion of (* im im) in re 0.616 * [taylor]: Taking taylor expansion of im in re 0.616 * [taylor]: Taking taylor expansion of im in re 0.617 * [taylor]: Taking taylor expansion of (- re) in re 0.617 * [taylor]: Taking taylor expansion of re in re 0.617 * [taylor]: Taking taylor expansion of im in im 0.618 * [taylor]: Taking taylor expansion of -1 in im 0.622 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.623 * [taylor]: Taking taylor expansion of 1/2 in im 0.623 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.623 * [taylor]: Taking taylor expansion of im in im 0.627 * [taylor]: Taking taylor expansion of 0 in im 0.628 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in (re im) around 0 0.628 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in im 0.629 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 0.629 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in im 0.629 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 0.629 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.629 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.629 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.629 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.629 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.629 * [taylor]: Taking taylor expansion of re in im 0.629 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.629 * [taylor]: Taking taylor expansion of re in im 0.629 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.629 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.629 * [taylor]: Taking taylor expansion of im in im 0.629 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.629 * [taylor]: Taking taylor expansion of im in im 0.633 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 0.633 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.633 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.633 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.633 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.633 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.633 * [taylor]: Taking taylor expansion of re in im 0.633 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.633 * [taylor]: Taking taylor expansion of re in im 0.633 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.633 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.634 * [taylor]: Taking taylor expansion of im in im 0.634 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.634 * [taylor]: Taking taylor expansion of im in im 0.637 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in im 0.637 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.637 * [taylor]: Taking taylor expansion of re in im 0.637 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re 0.638 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 0.638 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 0.638 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 0.638 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.638 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.638 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.638 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.638 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.638 * [taylor]: Taking taylor expansion of re in re 0.638 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.638 * [taylor]: Taking taylor expansion of re in re 0.638 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.638 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.638 * [taylor]: Taking taylor expansion of im in re 0.638 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.638 * [taylor]: Taking taylor expansion of im in re 0.642 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 0.642 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.642 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.642 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.642 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.642 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.642 * [taylor]: Taking taylor expansion of re in re 0.642 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.642 * [taylor]: Taking taylor expansion of re in re 0.642 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.642 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.643 * [taylor]: Taking taylor expansion of im in re 0.643 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.643 * [taylor]: Taking taylor expansion of im in re 0.646 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 0.646 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.646 * [taylor]: Taking taylor expansion of re in re 0.646 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re 0.646 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 0.646 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 0.646 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 0.646 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.646 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.647 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.647 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.647 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.647 * [taylor]: Taking taylor expansion of re in re 0.647 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.647 * [taylor]: Taking taylor expansion of re in re 0.647 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.647 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.647 * [taylor]: Taking taylor expansion of im in re 0.647 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.647 * [taylor]: Taking taylor expansion of im in re 0.650 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 0.651 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.651 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.651 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.651 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.651 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.651 * [taylor]: Taking taylor expansion of re in re 0.651 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.651 * [taylor]: Taking taylor expansion of re in re 0.651 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.651 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.651 * [taylor]: Taking taylor expansion of im in re 0.651 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.651 * [taylor]: Taking taylor expansion of im in re 0.655 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 0.655 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.655 * [taylor]: Taking taylor expansion of re in re 0.655 * [taylor]: Taking taylor expansion of 0 in im 0.656 * [taylor]: Taking taylor expansion of -1 in im 0.662 * [taylor]: Taking taylor expansion of (- +nan.0) in im 0.662 * [taylor]: Taking taylor expansion of +nan.0 in im 0.671 * [taylor]: Taking taylor expansion of (- +nan.0) in im 0.671 * [taylor]: Taking taylor expansion of +nan.0 in im 0.680 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 0.680 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 0.680 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 0.680 * [taylor]: Taking taylor expansion of +nan.0 in im 0.680 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.680 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.680 * [taylor]: Taking taylor expansion of im in im 0.680 * [taylor]: Taking taylor expansion of (- +nan.0) in im 0.680 * [taylor]: Taking taylor expansion of +nan.0 in im 0.684 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in (re im) around 0 0.684 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in im 0.684 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 0.684 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in im 0.684 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 0.684 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.684 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.684 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.684 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.684 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.684 * [taylor]: Taking taylor expansion of -1 in im 0.684 * [taylor]: Taking taylor expansion of re in im 0.684 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.684 * [taylor]: Taking taylor expansion of -1 in im 0.684 * [taylor]: Taking taylor expansion of re in im 0.684 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.684 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.684 * [taylor]: Taking taylor expansion of -1 in im 0.684 * [taylor]: Taking taylor expansion of im in im 0.684 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.684 * [taylor]: Taking taylor expansion of -1 in im 0.684 * [taylor]: Taking taylor expansion of im in im 0.688 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 0.688 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.688 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.688 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.688 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.688 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.688 * [taylor]: Taking taylor expansion of -1 in im 0.688 * [taylor]: Taking taylor expansion of re in im 0.688 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.688 * [taylor]: Taking taylor expansion of -1 in im 0.688 * [taylor]: Taking taylor expansion of re in im 0.688 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.689 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.689 * [taylor]: Taking taylor expansion of -1 in im 0.689 * [taylor]: Taking taylor expansion of im in im 0.689 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.689 * [taylor]: Taking taylor expansion of -1 in im 0.689 * [taylor]: Taking taylor expansion of im in im 0.695 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.695 * [taylor]: Taking taylor expansion of re in im 0.695 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re 0.695 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 0.695 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 0.695 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 0.695 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.695 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.695 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.695 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.695 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.695 * [taylor]: Taking taylor expansion of -1 in re 0.695 * [taylor]: Taking taylor expansion of re in re 0.696 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.696 * [taylor]: Taking taylor expansion of -1 in re 0.696 * [taylor]: Taking taylor expansion of re in re 0.696 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.696 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.696 * [taylor]: Taking taylor expansion of -1 in re 0.696 * [taylor]: Taking taylor expansion of im in re 0.696 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.696 * [taylor]: Taking taylor expansion of -1 in re 0.696 * [taylor]: Taking taylor expansion of im in re 0.700 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 0.700 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.700 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.700 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.700 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.700 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.700 * [taylor]: Taking taylor expansion of -1 in re 0.700 * [taylor]: Taking taylor expansion of re in re 0.700 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.700 * [taylor]: Taking taylor expansion of -1 in re 0.700 * [taylor]: Taking taylor expansion of re in re 0.700 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.700 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.700 * [taylor]: Taking taylor expansion of -1 in re 0.700 * [taylor]: Taking taylor expansion of im in re 0.700 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.701 * [taylor]: Taking taylor expansion of -1 in re 0.701 * [taylor]: Taking taylor expansion of im in re 0.704 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.704 * [taylor]: Taking taylor expansion of re in re 0.704 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re 0.704 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 0.704 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 0.704 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 0.704 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.705 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.705 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.705 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.705 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.705 * [taylor]: Taking taylor expansion of -1 in re 0.705 * [taylor]: Taking taylor expansion of re in re 0.705 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.705 * [taylor]: Taking taylor expansion of -1 in re 0.705 * [taylor]: Taking taylor expansion of re in re 0.705 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.705 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.705 * [taylor]: Taking taylor expansion of -1 in re 0.705 * [taylor]: Taking taylor expansion of im in re 0.705 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.705 * [taylor]: Taking taylor expansion of -1 in re 0.705 * [taylor]: Taking taylor expansion of im in re 0.709 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 0.709 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.709 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.709 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.709 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.709 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.709 * [taylor]: Taking taylor expansion of -1 in re 0.709 * [taylor]: Taking taylor expansion of re in re 0.709 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.709 * [taylor]: Taking taylor expansion of -1 in re 0.709 * [taylor]: Taking taylor expansion of re in re 0.710 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.710 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.710 * [taylor]: Taking taylor expansion of -1 in re 0.710 * [taylor]: Taking taylor expansion of im in re 0.710 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.710 * [taylor]: Taking taylor expansion of -1 in re 0.710 * [taylor]: Taking taylor expansion of im in re 0.713 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.713 * [taylor]: Taking taylor expansion of re in re 0.714 * [taylor]: Taking taylor expansion of 0 in im 0.715 * [taylor]: Taking taylor expansion of 1 in im 0.720 * [taylor]: Taking taylor expansion of (- +nan.0) in im 0.721 * [taylor]: Taking taylor expansion of +nan.0 in im 0.729 * [taylor]: Taking taylor expansion of (- +nan.0) in im 0.729 * [taylor]: Taking taylor expansion of +nan.0 in im 0.738 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 0.738 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 0.738 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 0.738 * [taylor]: Taking taylor expansion of +nan.0 in im 0.738 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.738 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.738 * [taylor]: Taking taylor expansion of im in im 0.739 * [taylor]: Taking taylor expansion of (- +nan.0) in im 0.739 * [taylor]: Taking taylor expansion of +nan.0 in im 0.741 * * * [progress]: simplifying candidates 0.742 * [simplify]: Simplifying using # : (expm1 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (log1p (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (exp (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (* (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (- im re) (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- re +nan.0))) (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- re +nan.0))) 0.744 * * [simplify]: iteration 0 : 48 enodes (cost 100 ) 0.746 * * [simplify]: iteration 1 : 133 enodes (cost 85 ) 0.748 * * [simplify]: iteration 2 : 439 enodes (cost 82 ) 0.757 * * [simplify]: iteration 3 : 1931 enodes (cost 78 ) 0.793 * * [simplify]: iteration 4 : 5001 enodes (cost 78 ) 0.794 * [simplify]: Simplified to: (expm1 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (log1p (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (hypot re im) (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (/ (exp (hypot re im)) (exp re)) (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (pow (- (hypot re im) re) 3) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (- im re) (+ (- (fma +nan.0 (/ (pow im 2) (pow re 2)) re)) +nan.0) (+ (- (fma +nan.0 (/ (pow im 2) (pow re 2)) re)) +nan.0) 0.794 * * * [progress]: adding candidates to table 0.833 * * [progress]: iteration 4 / 4 0.833 * * * [progress]: picking best candidate 0.849 * * * * [pick]: Picked # 0.849 * * * [progress]: localizing error 0.862 * * * [progress]: generating rewritten candidates 0.862 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2) 0.862 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2 2) 0.863 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 2 1 2) 0.863 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2 1 1) 0.864 * * * [progress]: generating series expansions 0.864 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2) 0.864 * [approximate]: Taking taylor expansion of (fma (pow (pow (hypot re im) 2) 1/3) (pow (hypot re im) 1/3) (- re)) in (re im) around 0 0.864 * [taylor]: Taking taylor expansion of (fma (pow (pow (hypot re im) 2) 1/3) (pow (hypot re im) 1/3) (- re)) in im 0.865 * [taylor]: Rewrote expression to (+ (* (pow (pow (hypot re im) 2) 1/3) (pow (hypot re im) 1/3)) (- re)) 0.865 * [taylor]: Taking taylor expansion of (* (pow (pow (hypot re im) 2) 1/3) (pow (hypot re im) 1/3)) in im 0.865 * [taylor]: Taking taylor expansion of (pow (pow (hypot re im) 2) 1/3) in im 0.865 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot re im) 2)))) in im 0.865 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot re im) 2))) in im 0.865 * [taylor]: Taking taylor expansion of 1/3 in im 0.865 * [taylor]: Taking taylor expansion of (log (pow (hypot re im) 2)) in im 0.865 * [taylor]: Taking taylor expansion of (pow (hypot re im) 2) in im 0.865 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.865 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.865 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.865 * [taylor]: Taking taylor expansion of (* re re) in im 0.865 * [taylor]: Taking taylor expansion of re in im 0.865 * [taylor]: Taking taylor expansion of re in im 0.865 * [taylor]: Taking taylor expansion of (* im im) in im 0.865 * [taylor]: Taking taylor expansion of im in im 0.865 * [taylor]: Taking taylor expansion of im in im 0.866 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in im 0.866 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in im 0.866 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in im 0.867 * [taylor]: Taking taylor expansion of 1/3 in im 0.867 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im 0.867 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.867 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.867 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.867 * [taylor]: Taking taylor expansion of (* re re) in im 0.867 * [taylor]: Taking taylor expansion of re in im 0.867 * [taylor]: Taking taylor expansion of re in im 0.867 * [taylor]: Taking taylor expansion of (* im im) in im 0.867 * [taylor]: Taking taylor expansion of im in im 0.867 * [taylor]: Taking taylor expansion of im in im 0.868 * [taylor]: Taking taylor expansion of (- re) in im 0.868 * [taylor]: Taking taylor expansion of re in im 0.868 * [taylor]: Taking taylor expansion of (fma (pow (pow (hypot re im) 2) 1/3) (pow (hypot re im) 1/3) (- re)) in re 0.868 * [taylor]: Rewrote expression to (+ (* (pow (pow (hypot re im) 2) 1/3) (pow (hypot re im) 1/3)) (- re)) 0.868 * [taylor]: Taking taylor expansion of (* (pow (pow (hypot re im) 2) 1/3) (pow (hypot re im) 1/3)) in re 0.868 * [taylor]: Taking taylor expansion of (pow (pow (hypot re im) 2) 1/3) in re 0.868 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot re im) 2)))) in re 0.868 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot re im) 2))) in re 0.868 * [taylor]: Taking taylor expansion of 1/3 in re 0.868 * [taylor]: Taking taylor expansion of (log (pow (hypot re im) 2)) in re 0.868 * [taylor]: Taking taylor expansion of (pow (hypot re im) 2) in re 0.868 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.868 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.868 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.868 * [taylor]: Taking taylor expansion of (* re re) in re 0.868 * [taylor]: Taking taylor expansion of re in re 0.868 * [taylor]: Taking taylor expansion of re in re 0.868 * [taylor]: Taking taylor expansion of (* im im) in re 0.868 * [taylor]: Taking taylor expansion of im in re 0.868 * [taylor]: Taking taylor expansion of im in re 0.870 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 0.870 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 0.870 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 0.870 * [taylor]: Taking taylor expansion of 1/3 in re 0.870 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 0.870 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.870 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.870 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.870 * [taylor]: Taking taylor expansion of (* re re) in re 0.870 * [taylor]: Taking taylor expansion of re in re 0.870 * [taylor]: Taking taylor expansion of re in re 0.870 * [taylor]: Taking taylor expansion of (* im im) in re 0.870 * [taylor]: Taking taylor expansion of im in re 0.870 * [taylor]: Taking taylor expansion of im in re 0.871 * [taylor]: Taking taylor expansion of (- re) in re 0.871 * [taylor]: Taking taylor expansion of re in re 0.871 * [taylor]: Taking taylor expansion of (fma (pow (pow (hypot re im) 2) 1/3) (pow (hypot re im) 1/3) (- re)) in re 0.871 * [taylor]: Rewrote expression to (+ (* (pow (pow (hypot re im) 2) 1/3) (pow (hypot re im) 1/3)) (- re)) 0.871 * [taylor]: Taking taylor expansion of (* (pow (pow (hypot re im) 2) 1/3) (pow (hypot re im) 1/3)) in re 0.871 * [taylor]: Taking taylor expansion of (pow (pow (hypot re im) 2) 1/3) in re 0.871 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot re im) 2)))) in re 0.871 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot re im) 2))) in re 0.871 * [taylor]: Taking taylor expansion of 1/3 in re 0.871 * [taylor]: Taking taylor expansion of (log (pow (hypot re im) 2)) in re 0.871 * [taylor]: Taking taylor expansion of (pow (hypot re im) 2) in re 0.871 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.871 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.871 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.871 * [taylor]: Taking taylor expansion of (* re re) in re 0.871 * [taylor]: Taking taylor expansion of re in re 0.871 * [taylor]: Taking taylor expansion of re in re 0.872 * [taylor]: Taking taylor expansion of (* im im) in re 0.872 * [taylor]: Taking taylor expansion of im in re 0.872 * [taylor]: Taking taylor expansion of im in re 0.873 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 0.873 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 0.873 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 0.873 * [taylor]: Taking taylor expansion of 1/3 in re 0.873 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 0.873 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.873 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.873 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.873 * [taylor]: Taking taylor expansion of (* re re) in re 0.873 * [taylor]: Taking taylor expansion of re in re 0.873 * [taylor]: Taking taylor expansion of re in re 0.873 * [taylor]: Taking taylor expansion of (* im im) in re 0.873 * [taylor]: Taking taylor expansion of im in re 0.873 * [taylor]: Taking taylor expansion of im in re 0.874 * [taylor]: Taking taylor expansion of (- re) in re 0.874 * [taylor]: Taking taylor expansion of re in re 0.875 * [taylor]: Taking taylor expansion of im in im 0.879 * [taylor]: Taking taylor expansion of -1 in im 0.890 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.890 * [taylor]: Taking taylor expansion of 1/2 in im 0.890 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.890 * [taylor]: Taking taylor expansion of im in im 0.902 * [taylor]: Taking taylor expansion of 0 in im 0.903 * [approximate]: Taking taylor expansion of (fma (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3) (pow (hypot (/ 1 re) (/ 1 im)) 1/3) (- (/ 1 re))) in (re im) around 0 0.903 * [taylor]: Taking taylor expansion of (fma (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3) (pow (hypot (/ 1 re) (/ 1 im)) 1/3) (- (/ 1 re))) in im 0.903 * [taylor]: Rewrote expression to (+ (* (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3) (pow (hypot (/ 1 re) (/ 1 im)) 1/3)) (- (/ 1 re))) 0.903 * [taylor]: Taking taylor expansion of (* (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3) (pow (hypot (/ 1 re) (/ 1 im)) 1/3)) in im 0.903 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3) in im 0.903 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot (/ 1 re) (/ 1 im)) 2)))) in im 0.903 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot (/ 1 re) (/ 1 im)) 2))) in im 0.903 * [taylor]: Taking taylor expansion of 1/3 in im 0.903 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ 1 re) (/ 1 im)) 2)) in im 0.903 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 2) in im 0.903 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.903 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.903 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.903 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.903 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.904 * [taylor]: Taking taylor expansion of re in im 0.904 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.904 * [taylor]: Taking taylor expansion of re in im 0.904 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.904 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.904 * [taylor]: Taking taylor expansion of im in im 0.904 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.904 * [taylor]: Taking taylor expansion of im in im 0.907 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in im 0.907 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in im 0.907 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in im 0.908 * [taylor]: Taking taylor expansion of 1/3 in im 0.908 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im 0.908 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.908 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.908 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.908 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.908 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.908 * [taylor]: Taking taylor expansion of re in im 0.908 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.908 * [taylor]: Taking taylor expansion of re in im 0.908 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.908 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.908 * [taylor]: Taking taylor expansion of im in im 0.908 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.908 * [taylor]: Taking taylor expansion of im in im 0.911 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in im 0.911 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.911 * [taylor]: Taking taylor expansion of re in im 0.911 * [taylor]: Taking taylor expansion of (fma (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3) (pow (hypot (/ 1 re) (/ 1 im)) 1/3) (- (/ 1 re))) in re 0.911 * [taylor]: Rewrote expression to (+ (* (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3) (pow (hypot (/ 1 re) (/ 1 im)) 1/3)) (- (/ 1 re))) 0.912 * [taylor]: Taking taylor expansion of (* (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3) (pow (hypot (/ 1 re) (/ 1 im)) 1/3)) in re 0.912 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3) in re 0.912 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot (/ 1 re) (/ 1 im)) 2)))) in re 0.912 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot (/ 1 re) (/ 1 im)) 2))) in re 0.912 * [taylor]: Taking taylor expansion of 1/3 in re 0.912 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ 1 re) (/ 1 im)) 2)) in re 0.912 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 2) 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 re in re 0.912 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.912 * [taylor]: Taking taylor expansion of re in re 0.912 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.912 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.912 * [taylor]: Taking taylor expansion of im in re 0.912 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.912 * [taylor]: Taking taylor expansion of im in re 0.916 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 0.916 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 0.916 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 0.916 * [taylor]: Taking taylor expansion of 1/3 in re 0.916 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 0.916 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.916 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.916 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.916 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.916 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.916 * [taylor]: Taking taylor expansion of re in re 0.916 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.916 * [taylor]: Taking taylor expansion of re in re 0.916 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.916 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.916 * [taylor]: Taking taylor expansion of im in re 0.916 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.916 * [taylor]: Taking taylor expansion of im in re 0.919 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 0.919 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.919 * [taylor]: Taking taylor expansion of re in re 0.920 * [taylor]: Taking taylor expansion of (fma (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3) (pow (hypot (/ 1 re) (/ 1 im)) 1/3) (- (/ 1 re))) in re 0.920 * [taylor]: Rewrote expression to (+ (* (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3) (pow (hypot (/ 1 re) (/ 1 im)) 1/3)) (- (/ 1 re))) 0.920 * [taylor]: Taking taylor expansion of (* (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3) (pow (hypot (/ 1 re) (/ 1 im)) 1/3)) in re 0.920 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3) in re 0.920 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot (/ 1 re) (/ 1 im)) 2)))) in re 0.920 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot (/ 1 re) (/ 1 im)) 2))) in re 0.920 * [taylor]: Taking taylor expansion of 1/3 in re 0.920 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ 1 re) (/ 1 im)) 2)) in re 0.920 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 2) in re 0.920 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.920 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.920 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.920 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.920 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.920 * [taylor]: Taking taylor expansion of re in re 0.920 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.920 * [taylor]: Taking taylor expansion of re in re 0.921 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.921 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.921 * [taylor]: Taking taylor expansion of im in re 0.921 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.921 * [taylor]: Taking taylor expansion of im in re 0.924 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 0.924 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 0.924 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 0.924 * [taylor]: Taking taylor expansion of 1/3 in re 0.924 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 0.924 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.924 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.924 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.924 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.924 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.924 * [taylor]: Taking taylor expansion of re in re 0.925 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.925 * [taylor]: Taking taylor expansion of re in re 0.925 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.925 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.925 * [taylor]: Taking taylor expansion of im in re 0.925 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.925 * [taylor]: Taking taylor expansion of im in re 0.928 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 0.928 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.928 * [taylor]: Taking taylor expansion of re in re 0.929 * [taylor]: Taking taylor expansion of -1 in im 0.930 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.930 * [taylor]: Taking taylor expansion of re in im 0.935 * [taylor]: Taking taylor expansion of 0 in im 0.946 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* re (pow im 2)))) in im 0.946 * [taylor]: Taking taylor expansion of 1/2 in im 0.946 * [taylor]: Taking taylor expansion of (/ 1 (* re (pow im 2))) in im 0.946 * [taylor]: Taking taylor expansion of (* re (pow im 2)) in im 0.946 * [taylor]: Taking taylor expansion of re in im 0.946 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.946 * [taylor]: Taking taylor expansion of im in im 0.949 * [approximate]: Taking taylor expansion of (fma (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3) (pow (hypot (/ -1 re) (/ -1 im)) 1/3) (/ 1 re)) in (re im) around 0 0.949 * [taylor]: Taking taylor expansion of (fma (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3) (pow (hypot (/ -1 re) (/ -1 im)) 1/3) (/ 1 re)) in im 0.949 * [taylor]: Rewrote expression to (+ (* (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3) (pow (hypot (/ -1 re) (/ -1 im)) 1/3)) (/ 1 re)) 0.949 * [taylor]: Taking taylor expansion of (* (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3) (pow (hypot (/ -1 re) (/ -1 im)) 1/3)) in im 0.949 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3) in im 0.949 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot (/ -1 re) (/ -1 im)) 2)))) in im 0.949 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot (/ -1 re) (/ -1 im)) 2))) in im 0.949 * [taylor]: Taking taylor expansion of 1/3 in im 0.949 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ -1 re) (/ -1 im)) 2)) in im 0.949 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 2) in im 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 0.950 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.950 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.950 * [taylor]: Taking taylor expansion of -1 in im 0.950 * [taylor]: Taking taylor expansion of re in im 0.950 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.950 * [taylor]: Taking taylor expansion of -1 in im 0.950 * [taylor]: Taking taylor expansion of re in im 0.950 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 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 0.950 * [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 0.954 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in im 0.954 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in im 0.954 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in im 0.954 * [taylor]: Taking taylor expansion of 1/3 in im 0.954 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im 0.954 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.954 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.954 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.954 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.954 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.954 * [taylor]: Taking taylor expansion of -1 in im 0.954 * [taylor]: Taking taylor expansion of re in im 0.954 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.954 * [taylor]: Taking taylor expansion of -1 in im 0.954 * [taylor]: Taking taylor expansion of re in im 0.954 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.954 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.954 * [taylor]: Taking taylor expansion of -1 in im 0.954 * [taylor]: Taking taylor expansion of im in im 0.954 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.954 * [taylor]: Taking taylor expansion of -1 in im 0.954 * [taylor]: Taking taylor expansion of im in im 0.958 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.958 * [taylor]: Taking taylor expansion of re in im 0.958 * [taylor]: Taking taylor expansion of (fma (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3) (pow (hypot (/ -1 re) (/ -1 im)) 1/3) (/ 1 re)) in re 0.958 * [taylor]: Rewrote expression to (+ (* (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3) (pow (hypot (/ -1 re) (/ -1 im)) 1/3)) (/ 1 re)) 0.958 * [taylor]: Taking taylor expansion of (* (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3) (pow (hypot (/ -1 re) (/ -1 im)) 1/3)) in re 0.958 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3) in re 0.958 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot (/ -1 re) (/ -1 im)) 2)))) in re 0.958 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot (/ -1 re) (/ -1 im)) 2))) in re 0.958 * [taylor]: Taking taylor expansion of 1/3 in re 0.958 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ -1 re) (/ -1 im)) 2)) in re 0.958 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 2) in re 0.958 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.958 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.958 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.958 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.958 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.958 * [taylor]: Taking taylor expansion of -1 in re 0.958 * [taylor]: Taking taylor expansion of re in re 0.958 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.958 * [taylor]: Taking taylor expansion of -1 in re 0.958 * [taylor]: Taking taylor expansion of re in re 0.959 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.959 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.959 * [taylor]: Taking taylor expansion of -1 in re 0.959 * [taylor]: Taking taylor expansion of im in re 0.959 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.959 * [taylor]: Taking taylor expansion of -1 in re 0.959 * [taylor]: Taking taylor expansion of im in re 0.962 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 0.962 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 0.962 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 0.962 * [taylor]: Taking taylor expansion of 1/3 in re 0.962 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 0.962 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.962 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.962 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.962 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.962 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.962 * [taylor]: Taking taylor expansion of -1 in re 0.962 * [taylor]: Taking taylor expansion of re in re 0.963 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.963 * [taylor]: Taking taylor expansion of -1 in re 0.963 * [taylor]: Taking taylor expansion of re in re 0.963 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.963 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.963 * [taylor]: Taking taylor expansion of -1 in re 0.963 * [taylor]: Taking taylor expansion of im in re 0.963 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.963 * [taylor]: Taking taylor expansion of -1 in re 0.963 * [taylor]: Taking taylor expansion of im in re 0.970 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.970 * [taylor]: Taking taylor expansion of re in re 0.971 * [taylor]: Taking taylor expansion of (fma (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3) (pow (hypot (/ -1 re) (/ -1 im)) 1/3) (/ 1 re)) in re 0.971 * [taylor]: Rewrote expression to (+ (* (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3) (pow (hypot (/ -1 re) (/ -1 im)) 1/3)) (/ 1 re)) 0.971 * [taylor]: Taking taylor expansion of (* (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3) (pow (hypot (/ -1 re) (/ -1 im)) 1/3)) in re 0.971 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3) in re 0.971 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot (/ -1 re) (/ -1 im)) 2)))) in re 0.971 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot (/ -1 re) (/ -1 im)) 2))) in re 0.971 * [taylor]: Taking taylor expansion of 1/3 in re 0.971 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ -1 re) (/ -1 im)) 2)) in re 0.971 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 2) in re 0.971 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.971 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.971 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.971 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.971 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.971 * [taylor]: Taking taylor expansion of -1 in re 0.971 * [taylor]: Taking taylor expansion of re in re 0.971 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.972 * [taylor]: Taking taylor expansion of -1 in re 0.972 * [taylor]: Taking taylor expansion of re in re 0.972 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.972 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.972 * [taylor]: Taking taylor expansion of -1 in re 0.972 * [taylor]: Taking taylor expansion of im in re 0.972 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.972 * [taylor]: Taking taylor expansion of -1 in re 0.972 * [taylor]: Taking taylor expansion of im in re 0.975 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 0.975 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 0.975 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 0.975 * [taylor]: Taking taylor expansion of 1/3 in re 0.975 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 0.975 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.975 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.975 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.975 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.975 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.976 * [taylor]: Taking taylor expansion of -1 in re 0.976 * [taylor]: Taking taylor expansion of re in re 0.976 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.976 * [taylor]: Taking taylor expansion of -1 in re 0.976 * [taylor]: Taking taylor expansion of re in re 0.976 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.976 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.976 * [taylor]: Taking taylor expansion of -1 in re 0.976 * [taylor]: Taking taylor expansion of im in re 0.976 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.976 * [taylor]: Taking taylor expansion of -1 in re 0.976 * [taylor]: Taking taylor expansion of im in re 0.979 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.979 * [taylor]: Taking taylor expansion of re in re 0.980 * [taylor]: Taking taylor expansion of 1 in im 0.980 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.981 * [taylor]: Taking taylor expansion of re in im 0.985 * [taylor]: Taking taylor expansion of 0 in im 0.997 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* re (pow im 2)))) in im 0.997 * [taylor]: Taking taylor expansion of 1/2 in im 0.997 * [taylor]: Taking taylor expansion of (/ 1 (* re (pow im 2))) in im 0.997 * [taylor]: Taking taylor expansion of (* re (pow im 2)) in im 0.997 * [taylor]: Taking taylor expansion of re in im 0.997 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.997 * [taylor]: Taking taylor expansion of im in im 0.999 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2 2) 0.999 * [approximate]: Taking taylor expansion of (pow (hypot re im) 1/3) in (re im) around 0 0.999 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in im 0.999 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in im 1.000 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in im 1.000 * [taylor]: Taking taylor expansion of 1/3 in im 1.000 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im 1.000 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.000 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.000 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.000 * [taylor]: Taking taylor expansion of (* re re) in im 1.000 * [taylor]: Taking taylor expansion of re in im 1.000 * [taylor]: Taking taylor expansion of re in im 1.000 * [taylor]: Taking taylor expansion of (* im im) in im 1.000 * [taylor]: Taking taylor expansion of im in im 1.000 * [taylor]: Taking taylor expansion of im in im 1.001 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 1.001 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 1.001 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 1.001 * [taylor]: Taking taylor expansion of 1/3 in re 1.001 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 1.001 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.001 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.001 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.001 * [taylor]: Taking taylor expansion of (* re re) in re 1.001 * [taylor]: Taking taylor expansion of re in re 1.001 * [taylor]: Taking taylor expansion of re in re 1.001 * [taylor]: Taking taylor expansion of (* im im) in re 1.001 * [taylor]: Taking taylor expansion of im in re 1.001 * [taylor]: Taking taylor expansion of im in re 1.002 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 1.002 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 1.002 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 1.002 * [taylor]: Taking taylor expansion of 1/3 in re 1.002 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 1.002 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.002 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.003 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.003 * [taylor]: Taking taylor expansion of (* re re) in re 1.003 * [taylor]: Taking taylor expansion of re in re 1.003 * [taylor]: Taking taylor expansion of re in re 1.003 * [taylor]: Taking taylor expansion of (* im im) in re 1.003 * [taylor]: Taking taylor expansion of im in re 1.003 * [taylor]: Taking taylor expansion of im in re 1.004 * [taylor]: Taking taylor expansion of (pow im 1/3) in im 1.004 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log im))) in im 1.004 * [taylor]: Taking taylor expansion of (* 1/3 (log im)) in im 1.004 * [taylor]: Taking taylor expansion of 1/3 in im 1.004 * [taylor]: Taking taylor expansion of (log im) in im 1.004 * [taylor]: Taking taylor expansion of im in im 1.006 * [taylor]: Taking taylor expansion of 0 in im 1.011 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) in im 1.011 * [taylor]: Taking taylor expansion of 1/6 in im 1.011 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im 1.011 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im 1.011 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im 1.011 * [taylor]: Taking taylor expansion of 1/3 in im 1.011 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 1.011 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 1.011 * [taylor]: Taking taylor expansion of (pow im 5) in im 1.011 * [taylor]: Taking taylor expansion of im in im 1.020 * [taylor]: Taking taylor expansion of 0 in im 1.028 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in (re im) around 0 1.028 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in im 1.028 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in im 1.028 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in im 1.028 * [taylor]: Taking taylor expansion of 1/3 in im 1.028 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im 1.028 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.028 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.029 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.029 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.029 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.029 * [taylor]: Taking taylor expansion of re in im 1.029 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.029 * [taylor]: Taking taylor expansion of re in im 1.029 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.029 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.029 * [taylor]: Taking taylor expansion of im in im 1.029 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.029 * [taylor]: Taking taylor expansion of im in im 1.032 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 1.032 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 1.032 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 1.032 * [taylor]: Taking taylor expansion of 1/3 in re 1.032 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 1.032 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.032 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.032 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.032 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.032 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.032 * [taylor]: Taking taylor expansion of re in re 1.033 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.033 * [taylor]: Taking taylor expansion of re in re 1.033 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.033 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.033 * [taylor]: Taking taylor expansion of im in re 1.033 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.033 * [taylor]: Taking taylor expansion of im in re 1.036 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 1.036 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 1.036 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 1.036 * [taylor]: Taking taylor expansion of 1/3 in re 1.036 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 1.036 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.036 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.036 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.036 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.036 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.037 * [taylor]: Taking taylor expansion of re in re 1.037 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.037 * [taylor]: Taking taylor expansion of re in re 1.037 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.037 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.037 * [taylor]: Taking taylor expansion of im in re 1.037 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.037 * [taylor]: Taking taylor expansion of im in re 1.040 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 1.040 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 1.040 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 1.040 * [taylor]: Taking taylor expansion of -1/3 in im 1.040 * [taylor]: Taking taylor expansion of (log re) in im 1.040 * [taylor]: Taking taylor expansion of re in im 1.042 * [taylor]: Taking taylor expansion of 0 in im 1.048 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 1.048 * [taylor]: Taking taylor expansion of 1/6 in im 1.048 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 1.048 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 1.048 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 1.048 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 1.048 * [taylor]: Taking taylor expansion of 1/3 in im 1.048 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 1.048 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.048 * [taylor]: Taking taylor expansion of re in im 1.049 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.049 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.049 * [taylor]: Taking taylor expansion of im in im 1.069 * [taylor]: Taking taylor expansion of 0 in im 1.069 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in (re im) around 0 1.069 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in im 1.069 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in im 1.069 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in im 1.069 * [taylor]: Taking taylor expansion of 1/3 in im 1.069 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im 1.069 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.069 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.069 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.070 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.070 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.070 * [taylor]: Taking taylor expansion of -1 in im 1.070 * [taylor]: Taking taylor expansion of re in im 1.070 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.070 * [taylor]: Taking taylor expansion of -1 in im 1.070 * [taylor]: Taking taylor expansion of re in im 1.070 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.070 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.070 * [taylor]: Taking taylor expansion of -1 in im 1.070 * [taylor]: Taking taylor expansion of im in im 1.070 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.070 * [taylor]: Taking taylor expansion of -1 in im 1.070 * [taylor]: Taking taylor expansion of im in im 1.073 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 1.073 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 1.073 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 1.073 * [taylor]: Taking taylor expansion of 1/3 in re 1.073 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 1.073 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.074 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.074 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.074 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.074 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.074 * [taylor]: Taking taylor expansion of -1 in re 1.074 * [taylor]: Taking taylor expansion of re in re 1.074 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.074 * [taylor]: Taking taylor expansion of -1 in re 1.074 * [taylor]: Taking taylor expansion of re in re 1.074 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.074 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.074 * [taylor]: Taking taylor expansion of -1 in re 1.074 * [taylor]: Taking taylor expansion of im in re 1.074 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.074 * [taylor]: Taking taylor expansion of -1 in re 1.074 * [taylor]: Taking taylor expansion of im in re 1.077 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 1.077 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 1.077 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 1.078 * [taylor]: Taking taylor expansion of 1/3 in re 1.078 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 1.078 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.078 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.078 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.078 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.078 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.078 * [taylor]: Taking taylor expansion of -1 in re 1.078 * [taylor]: Taking taylor expansion of re in re 1.078 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.078 * [taylor]: Taking taylor expansion of -1 in re 1.078 * [taylor]: Taking taylor expansion of re in re 1.078 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.078 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.078 * [taylor]: Taking taylor expansion of -1 in re 1.078 * [taylor]: Taking taylor expansion of im in re 1.078 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.078 * [taylor]: Taking taylor expansion of -1 in re 1.078 * [taylor]: Taking taylor expansion of im in re 1.082 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 1.082 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 1.082 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 1.082 * [taylor]: Taking taylor expansion of -1/3 in im 1.082 * [taylor]: Taking taylor expansion of (log re) in im 1.082 * [taylor]: Taking taylor expansion of re in im 1.084 * [taylor]: Taking taylor expansion of 0 in im 1.090 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 1.090 * [taylor]: Taking taylor expansion of 1/6 in im 1.090 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 1.090 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 1.090 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 1.090 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 1.090 * [taylor]: Taking taylor expansion of 1/3 in im 1.090 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 1.090 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.090 * [taylor]: Taking taylor expansion of re in im 1.090 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.090 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.090 * [taylor]: Taking taylor expansion of im in im 1.106 * [taylor]: Taking taylor expansion of 0 in im 1.107 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 2 1 2) 1.107 * [approximate]: Taking taylor expansion of (pow (hypot re im) 1/3) in (re im) around 0 1.107 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in im 1.107 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in im 1.107 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in im 1.107 * [taylor]: Taking taylor expansion of 1/3 in im 1.107 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im 1.107 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.107 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.107 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.107 * [taylor]: Taking taylor expansion of (* re re) in im 1.107 * [taylor]: Taking taylor expansion of re in im 1.107 * [taylor]: Taking taylor expansion of re in im 1.107 * [taylor]: Taking taylor expansion of (* im im) in im 1.107 * [taylor]: Taking taylor expansion of im in im 1.107 * [taylor]: Taking taylor expansion of im in im 1.108 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 1.108 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 1.108 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 1.108 * [taylor]: Taking taylor expansion of 1/3 in re 1.108 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 1.108 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.108 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.108 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.108 * [taylor]: Taking taylor expansion of (* re re) in re 1.108 * [taylor]: Taking taylor expansion of re in re 1.108 * [taylor]: Taking taylor expansion of re in re 1.108 * [taylor]: Taking taylor expansion of (* im im) in re 1.108 * [taylor]: Taking taylor expansion of im in re 1.108 * [taylor]: Taking taylor expansion of im in re 1.110 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 1.110 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 1.110 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 1.110 * [taylor]: Taking taylor expansion of 1/3 in re 1.110 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 1.110 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.110 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.110 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.110 * [taylor]: Taking taylor expansion of (* re re) in re 1.110 * [taylor]: Taking taylor expansion of re in re 1.110 * [taylor]: Taking taylor expansion of re in re 1.110 * [taylor]: Taking taylor expansion of (* im im) in re 1.110 * [taylor]: Taking taylor expansion of im in re 1.110 * [taylor]: Taking taylor expansion of im in re 1.111 * [taylor]: Taking taylor expansion of (pow im 1/3) in im 1.111 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log im))) in im 1.111 * [taylor]: Taking taylor expansion of (* 1/3 (log im)) in im 1.111 * [taylor]: Taking taylor expansion of 1/3 in im 1.111 * [taylor]: Taking taylor expansion of (log im) in im 1.111 * [taylor]: Taking taylor expansion of im in im 1.113 * [taylor]: Taking taylor expansion of 0 in im 1.118 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) in im 1.118 * [taylor]: Taking taylor expansion of 1/6 in im 1.118 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im 1.118 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im 1.118 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im 1.118 * [taylor]: Taking taylor expansion of 1/3 in im 1.118 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 1.118 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 1.118 * [taylor]: Taking taylor expansion of (pow im 5) in im 1.118 * [taylor]: Taking taylor expansion of im in im 1.127 * [taylor]: Taking taylor expansion of 0 in im 1.135 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in (re im) around 0 1.135 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in im 1.135 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in im 1.135 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in im 1.135 * [taylor]: Taking taylor expansion of 1/3 in im 1.135 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im 1.135 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.135 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.135 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.135 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.135 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.135 * [taylor]: Taking taylor expansion of re in im 1.136 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.136 * [taylor]: Taking taylor expansion of re in im 1.136 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.136 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.136 * [taylor]: Taking taylor expansion of im in im 1.136 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.136 * [taylor]: Taking taylor expansion of im in im 1.143 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 1.144 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 1.144 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 1.144 * [taylor]: Taking taylor expansion of 1/3 in re 1.144 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 1.144 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.144 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.144 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.144 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.144 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.144 * [taylor]: Taking taylor expansion of re in re 1.144 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.144 * [taylor]: Taking taylor expansion of re in re 1.144 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.144 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.145 * [taylor]: Taking taylor expansion of im in re 1.145 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.145 * [taylor]: Taking taylor expansion of im in re 1.148 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 1.148 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 1.148 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 1.148 * [taylor]: Taking taylor expansion of 1/3 in re 1.148 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 1.148 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.148 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.148 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.148 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.148 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.148 * [taylor]: Taking taylor expansion of re in re 1.148 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.148 * [taylor]: Taking taylor expansion of re in re 1.149 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.149 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.149 * [taylor]: Taking taylor expansion of im in re 1.149 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.149 * [taylor]: Taking taylor expansion of im in re 1.152 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 1.152 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 1.152 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 1.152 * [taylor]: Taking taylor expansion of -1/3 in im 1.152 * [taylor]: Taking taylor expansion of (log re) in im 1.152 * [taylor]: Taking taylor expansion of re in im 1.154 * [taylor]: Taking taylor expansion of 0 in im 1.160 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 1.160 * [taylor]: Taking taylor expansion of 1/6 in im 1.160 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 1.160 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 1.160 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 1.160 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 1.160 * [taylor]: Taking taylor expansion of 1/3 in im 1.160 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 1.160 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.160 * [taylor]: Taking taylor expansion of re in im 1.160 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.160 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.160 * [taylor]: Taking taylor expansion of im in im 1.176 * [taylor]: Taking taylor expansion of 0 in im 1.176 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in (re im) around 0 1.176 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in im 1.176 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in im 1.176 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in im 1.176 * [taylor]: Taking taylor expansion of 1/3 in im 1.176 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im 1.176 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.176 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.176 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.176 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.176 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.176 * [taylor]: Taking taylor expansion of -1 in im 1.176 * [taylor]: Taking taylor expansion of re in im 1.176 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.176 * [taylor]: Taking taylor expansion of -1 in im 1.176 * [taylor]: Taking taylor expansion of re in im 1.176 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.176 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.176 * [taylor]: Taking taylor expansion of -1 in im 1.176 * [taylor]: Taking taylor expansion of im in im 1.177 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.177 * [taylor]: Taking taylor expansion of -1 in im 1.177 * [taylor]: Taking taylor expansion of im in im 1.180 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 1.180 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 1.180 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 1.180 * [taylor]: Taking taylor expansion of 1/3 in re 1.180 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 1.180 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.180 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.180 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.180 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.180 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.180 * [taylor]: Taking taylor expansion of -1 in re 1.180 * [taylor]: Taking taylor expansion of re in re 1.181 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.181 * [taylor]: Taking taylor expansion of -1 in re 1.181 * [taylor]: Taking taylor expansion of re in re 1.181 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.181 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.181 * [taylor]: Taking taylor expansion of -1 in re 1.181 * [taylor]: Taking taylor expansion of im in re 1.181 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.181 * [taylor]: Taking taylor expansion of -1 in re 1.181 * [taylor]: Taking taylor expansion of im in re 1.184 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 1.185 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 1.185 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 1.185 * [taylor]: Taking taylor expansion of 1/3 in re 1.185 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 1.185 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.185 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.185 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.185 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.185 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.185 * [taylor]: Taking taylor expansion of -1 in re 1.185 * [taylor]: Taking taylor expansion of re in re 1.185 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.185 * [taylor]: Taking taylor expansion of -1 in re 1.185 * [taylor]: Taking taylor expansion of re in re 1.185 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.185 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.185 * [taylor]: Taking taylor expansion of -1 in re 1.186 * [taylor]: Taking taylor expansion of im in re 1.186 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.186 * [taylor]: Taking taylor expansion of -1 in re 1.186 * [taylor]: Taking taylor expansion of im in re 1.189 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 1.189 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 1.189 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 1.189 * [taylor]: Taking taylor expansion of -1/3 in im 1.189 * [taylor]: Taking taylor expansion of (log re) in im 1.189 * [taylor]: Taking taylor expansion of re in im 1.191 * [taylor]: Taking taylor expansion of 0 in im 1.197 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 1.197 * [taylor]: Taking taylor expansion of 1/6 in im 1.197 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 1.197 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 1.197 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 1.197 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 1.197 * [taylor]: Taking taylor expansion of 1/3 in im 1.197 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 1.197 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.197 * [taylor]: Taking taylor expansion of re in im 1.197 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.197 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.197 * [taylor]: Taking taylor expansion of im in im 1.213 * [taylor]: Taking taylor expansion of 0 in im 1.213 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2 1 1) 1.214 * [approximate]: Taking taylor expansion of (pow (hypot re im) 1/3) in (re im) around 0 1.214 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in im 1.214 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in im 1.214 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in im 1.214 * [taylor]: Taking taylor expansion of 1/3 in im 1.214 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im 1.214 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.214 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.214 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.214 * [taylor]: Taking taylor expansion of (* re re) in im 1.214 * [taylor]: Taking taylor expansion of re in im 1.214 * [taylor]: Taking taylor expansion of re in im 1.214 * [taylor]: Taking taylor expansion of (* im im) in im 1.214 * [taylor]: Taking taylor expansion of im in im 1.214 * [taylor]: Taking taylor expansion of im in im 1.215 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 1.215 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 1.215 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 1.215 * [taylor]: Taking taylor expansion of 1/3 in re 1.215 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 1.215 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.215 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.215 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.215 * [taylor]: Taking taylor expansion of (* re re) in re 1.215 * [taylor]: Taking taylor expansion of re in re 1.215 * [taylor]: Taking taylor expansion of re in re 1.215 * [taylor]: Taking taylor expansion of (* im im) in re 1.215 * [taylor]: Taking taylor expansion of im in re 1.215 * [taylor]: Taking taylor expansion of im in re 1.216 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 1.216 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 1.217 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 1.217 * [taylor]: Taking taylor expansion of 1/3 in re 1.217 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 1.217 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.217 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.217 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.217 * [taylor]: Taking taylor expansion of (* re re) in re 1.217 * [taylor]: Taking taylor expansion of re in re 1.217 * [taylor]: Taking taylor expansion of re in re 1.217 * [taylor]: Taking taylor expansion of (* im im) in re 1.217 * [taylor]: Taking taylor expansion of im in re 1.217 * [taylor]: Taking taylor expansion of im in re 1.218 * [taylor]: Taking taylor expansion of (pow im 1/3) in im 1.218 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log im))) in im 1.218 * [taylor]: Taking taylor expansion of (* 1/3 (log im)) in im 1.218 * [taylor]: Taking taylor expansion of 1/3 in im 1.218 * [taylor]: Taking taylor expansion of (log im) in im 1.218 * [taylor]: Taking taylor expansion of im in im 1.220 * [taylor]: Taking taylor expansion of 0 in im 1.225 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) in im 1.225 * [taylor]: Taking taylor expansion of 1/6 in im 1.225 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im 1.225 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im 1.225 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im 1.225 * [taylor]: Taking taylor expansion of 1/3 in im 1.225 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 1.225 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 1.225 * [taylor]: Taking taylor expansion of (pow im 5) in im 1.225 * [taylor]: Taking taylor expansion of im in im 1.239 * [taylor]: Taking taylor expansion of 0 in im 1.247 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in (re im) around 0 1.247 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in im 1.247 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in im 1.247 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in im 1.247 * [taylor]: Taking taylor expansion of 1/3 in im 1.247 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im 1.247 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.247 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.247 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.247 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.247 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.247 * [taylor]: Taking taylor expansion of re in im 1.247 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.247 * [taylor]: Taking taylor expansion of re in im 1.247 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.247 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.247 * [taylor]: Taking taylor expansion of im in im 1.248 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.248 * [taylor]: Taking taylor expansion of im in im 1.251 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 1.251 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 1.251 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 1.251 * [taylor]: Taking taylor expansion of 1/3 in re 1.251 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 1.251 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.251 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.251 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.251 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.251 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.251 * [taylor]: Taking taylor expansion of re in re 1.251 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.251 * [taylor]: Taking taylor expansion of re in re 1.252 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.252 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.252 * [taylor]: Taking taylor expansion of im in re 1.252 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.252 * [taylor]: Taking taylor expansion of im in re 1.255 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 1.255 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 1.255 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 1.255 * [taylor]: Taking taylor expansion of 1/3 in re 1.255 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 1.255 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.255 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.255 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.255 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.255 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.255 * [taylor]: Taking taylor expansion of re in re 1.255 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.255 * [taylor]: Taking taylor expansion of re in re 1.256 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.256 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.256 * [taylor]: Taking taylor expansion of im in re 1.256 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.256 * [taylor]: Taking taylor expansion of im in re 1.259 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 1.259 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 1.259 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 1.259 * [taylor]: Taking taylor expansion of -1/3 in im 1.259 * [taylor]: Taking taylor expansion of (log re) in im 1.259 * [taylor]: Taking taylor expansion of re in im 1.261 * [taylor]: Taking taylor expansion of 0 in im 1.267 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 1.267 * [taylor]: Taking taylor expansion of 1/6 in im 1.267 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 1.267 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 1.267 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 1.267 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 1.267 * [taylor]: Taking taylor expansion of 1/3 in im 1.267 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 1.267 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.267 * [taylor]: Taking taylor expansion of re in im 1.267 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.267 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.267 * [taylor]: Taking taylor expansion of im in im 1.283 * [taylor]: Taking taylor expansion of 0 in im 1.283 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in (re im) around 0 1.283 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in im 1.283 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in im 1.283 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in im 1.283 * [taylor]: Taking taylor expansion of 1/3 in im 1.283 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im 1.283 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.283 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.283 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.283 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.283 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.283 * [taylor]: Taking taylor expansion of -1 in im 1.283 * [taylor]: Taking taylor expansion of re in im 1.283 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.283 * [taylor]: Taking taylor expansion of -1 in im 1.283 * [taylor]: Taking taylor expansion of re in im 1.283 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.283 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.283 * [taylor]: Taking taylor expansion of -1 in im 1.283 * [taylor]: Taking taylor expansion of im in im 1.284 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.284 * [taylor]: Taking taylor expansion of -1 in im 1.284 * [taylor]: Taking taylor expansion of im in im 1.287 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 1.287 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 1.287 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 1.287 * [taylor]: Taking taylor expansion of 1/3 in re 1.287 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 1.287 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.287 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.287 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.287 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.287 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.287 * [taylor]: Taking taylor expansion of -1 in re 1.287 * [taylor]: Taking taylor expansion of re in re 1.288 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.288 * [taylor]: Taking taylor expansion of -1 in re 1.288 * [taylor]: Taking taylor expansion of re in re 1.288 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.288 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.288 * [taylor]: Taking taylor expansion of -1 in re 1.288 * [taylor]: Taking taylor expansion of im in re 1.288 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.288 * [taylor]: Taking taylor expansion of -1 in re 1.288 * [taylor]: Taking taylor expansion of im in re 1.291 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 1.291 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 1.291 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 1.291 * [taylor]: Taking taylor expansion of 1/3 in re 1.291 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 1.291 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.291 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.291 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.291 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.291 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.291 * [taylor]: Taking taylor expansion of -1 in re 1.291 * [taylor]: Taking taylor expansion of re in re 1.292 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.292 * [taylor]: Taking taylor expansion of -1 in re 1.292 * [taylor]: Taking taylor expansion of re in re 1.292 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.292 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.292 * [taylor]: Taking taylor expansion of -1 in re 1.292 * [taylor]: Taking taylor expansion of im in re 1.292 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.292 * [taylor]: Taking taylor expansion of -1 in re 1.292 * [taylor]: Taking taylor expansion of im in re 1.295 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 1.295 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 1.295 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 1.295 * [taylor]: Taking taylor expansion of -1/3 in im 1.295 * [taylor]: Taking taylor expansion of (log re) in im 1.295 * [taylor]: Taking taylor expansion of re in im 1.297 * [taylor]: Taking taylor expansion of 0 in im 1.303 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 1.303 * [taylor]: Taking taylor expansion of 1/6 in im 1.303 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 1.303 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 1.303 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 1.303 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 1.303 * [taylor]: Taking taylor expansion of 1/3 in im 1.304 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 1.304 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.304 * [taylor]: Taking taylor expansion of re in im 1.304 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.304 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.304 * [taylor]: Taking taylor expansion of im in im 1.324 * [taylor]: Taking taylor expansion of 0 in im 1.324 * * * [progress]: simplifying candidates 1.325 * [simplify]: Simplifying using # : (expm1 (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re))) (log1p (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re))) (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) (log (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re))) (exp (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re))) (* (cbrt (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re))) (cbrt (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re)))) (cbrt (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re))) (* (* (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re)) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re))) (sqrt (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re))) (sqrt (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (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))) (- im re) 0 (- (* 2 re)) (+ (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) 1.328 * * [simplify]: iteration 0 : 84 enodes (cost 329 ) 1.330 * * [simplify]: iteration 1 : 188 enodes (cost 287 ) 1.334 * * [simplify]: iteration 2 : 663 enodes (cost 279 ) 1.349 * * [simplify]: iteration 3 : 3464 enodes (cost 272 ) 1.455 * * [simplify]: iteration 4 : 5001 enodes (cost 263 ) 1.457 * [simplify]: Simplified to: (expm1 (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re))) (log1p (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re))) (hypot re im) (log (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re))) (exp (+ (hypot re im) (- 0 re))) (* (cbrt (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re))) (cbrt (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re)))) (cbrt (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re))) (pow (- (hypot re im) re) 3) (sqrt (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re))) (sqrt (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (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))) 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))) (- im re) 0 (- (* 2 re)) (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) 1.457 * * * [progress]: adding candidates to table 1.659 * [progress]: [Phase 3 of 3] Extracting. 1.659 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # #) 1.663 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re) 1.664 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # # # # # #) 1.735 * * * * [regimes]: Trying to branch on im from (# # # # # # # # # # # #) 1.784 * * * * [regimes]: Trying to branch on re from (# # # # # # # # # # # #) 1.850 * * * [regime]: Found split indices: #