23.773 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.025 * * * [progress]: [2/2] Setting up program. 0.028 * [progress]: [Phase 2 of 3] Improving. 0.028 * [simplify]: Simplifying using # : (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.030 * * [simplify]: iteration 0 : 24 enodes (cost 8 ) 0.032 * * [simplify]: iteration 1 : 30 enodes (cost 8 ) 0.033 * * [simplify]: iteration 2 : 33 enodes (cost 8 ) 0.035 * * [simplify]: iteration 3 : 33 enodes (cost 8 ) 0.035 * [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 0.048 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.051 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.069 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 2 1 1) 0.072 * * * [progress]: generating series expansions 0.072 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.073 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.073 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.073 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.073 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.073 * [taylor]: Taking taylor expansion of re in im 0.073 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.073 * [taylor]: Taking taylor expansion of im in im 0.074 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.074 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.074 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.074 * [taylor]: Taking taylor expansion of re in re 0.074 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.074 * [taylor]: Taking taylor expansion of im in re 0.074 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.074 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.074 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.074 * [taylor]: Taking taylor expansion of re in re 0.074 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.074 * [taylor]: Taking taylor expansion of im in re 0.075 * [taylor]: Taking taylor expansion of im in im 0.075 * [taylor]: Taking taylor expansion of 0 in im 0.076 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.076 * [taylor]: Taking taylor expansion of 1/2 in im 0.077 * [taylor]: Taking taylor expansion of im in im 0.078 * [taylor]: Taking taylor expansion of 0 in im 0.079 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.079 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.079 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.079 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.079 * [taylor]: Taking taylor expansion of im in im 0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.080 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.080 * [taylor]: Taking taylor expansion of re in im 0.082 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.082 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.082 * [taylor]: Taking taylor expansion of im in re 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.082 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.082 * [taylor]: Taking taylor expansion of re in re 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 0.088 * [taylor]: Taking taylor expansion of 1 in im 0.088 * [taylor]: Taking taylor expansion of 0 in im 0.090 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.090 * [taylor]: Taking taylor expansion of 1/2 in im 0.090 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.090 * [taylor]: Taking taylor expansion of im in im 0.093 * [taylor]: Taking taylor expansion of 0 in im 0.094 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.094 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.094 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.094 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.094 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.094 * [taylor]: Taking taylor expansion of im in im 0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.095 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.095 * [taylor]: Taking taylor expansion of re in im 0.097 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.097 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.097 * [taylor]: Taking taylor expansion of im in re 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.097 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.097 * [taylor]: Taking taylor expansion of re in re 0.100 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.100 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.100 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.100 * [taylor]: Taking taylor expansion of im in re 0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.100 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.100 * [taylor]: Taking taylor expansion of re in re 0.102 * [taylor]: Taking taylor expansion of 1 in im 0.102 * [taylor]: Taking taylor expansion of 0 in im 0.104 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.104 * [taylor]: Taking taylor expansion of 1/2 in im 0.104 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.104 * [taylor]: Taking taylor expansion of im in im 0.107 * [taylor]: Taking taylor expansion of 0 in im 0.109 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 0.109 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 0.109 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.109 * [taylor]: Taking taylor expansion of re in im 0.109 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.109 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.109 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.109 * [taylor]: Taking taylor expansion of re in im 0.109 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.109 * [taylor]: Taking taylor expansion of im in im 0.110 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.110 * [taylor]: Taking taylor expansion of re in re 0.110 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.110 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.110 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.110 * [taylor]: Taking taylor expansion of re in re 0.110 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.110 * [taylor]: Taking taylor expansion of im in re 0.110 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.110 * [taylor]: Taking taylor expansion of re in re 0.110 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.110 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.110 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.110 * [taylor]: Taking taylor expansion of re in re 0.110 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.110 * [taylor]: Taking taylor expansion of im in re 0.111 * [taylor]: Taking taylor expansion of im in im 0.111 * [taylor]: Taking taylor expansion of 1 in im 0.113 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.113 * [taylor]: Taking taylor expansion of 1/2 in im 0.113 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.113 * [taylor]: Taking taylor expansion of im in im 0.115 * [taylor]: Taking taylor expansion of 0 in im 0.116 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.116 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.116 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.117 * [taylor]: Taking taylor expansion of re in im 0.117 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.117 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.117 * [taylor]: Taking taylor expansion of im in im 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.117 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.117 * [taylor]: Taking taylor expansion of re in im 0.119 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.119 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.119 * [taylor]: Taking taylor expansion of re in re 0.120 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.120 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.120 * [taylor]: Taking taylor expansion of im in re 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.120 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.120 * [taylor]: Taking taylor expansion of re in re 0.122 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.122 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.122 * [taylor]: Taking taylor expansion of re in re 0.123 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.123 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.123 * [taylor]: Taking taylor expansion of im in re 0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.123 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.123 * [taylor]: Taking taylor expansion of re in re 0.125 * [taylor]: Taking taylor expansion of 2 in im 0.126 * [taylor]: Taking taylor expansion of 0 in im 0.129 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.129 * [taylor]: Taking taylor expansion of 1/2 in im 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.129 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.129 * [taylor]: Taking taylor expansion of im in im 0.133 * [taylor]: Taking taylor expansion of 0 in im 0.135 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.135 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.135 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 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 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.136 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.136 * [taylor]: Taking taylor expansion of re in im 0.138 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.138 * [taylor]: Taking taylor expansion of re in im 0.138 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.138 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.138 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.138 * [taylor]: Taking taylor expansion of im in re 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.138 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.138 * [taylor]: Taking taylor expansion of re in re 0.140 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.140 * [taylor]: Taking taylor expansion of re in re 0.141 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.141 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.141 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.141 * [taylor]: Taking taylor expansion of im in re 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.141 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.141 * [taylor]: Taking taylor expansion of re in re 0.143 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.143 * [taylor]: Taking taylor expansion of re in re 0.144 * [taylor]: Taking taylor expansion of 0 in im 0.148 * [taylor]: Taking taylor expansion of 0 in im 0.151 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.151 * [taylor]: Taking taylor expansion of 1/2 in im 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.151 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.151 * [taylor]: Taking taylor expansion of im in im 0.156 * [taylor]: Taking taylor expansion of 0 in im 0.157 * * * * [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 0.158 * [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 0 in im 0.159 * [taylor]: Taking taylor expansion of 1 in im 0.161 * [taylor]: Taking taylor expansion of 0 in im 0.162 * [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 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.163 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.163 * [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 0.164 * [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 0.165 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.165 * [taylor]: Taking taylor expansion of re in re 0.165 * [taylor]: Taking taylor expansion of 1 in im 0.166 * [taylor]: Taking taylor expansion of 0 in im 0.167 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.167 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.167 * [taylor]: Taking taylor expansion of im in im 0.169 * [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 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.174 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.174 * [taylor]: Taking taylor expansion of re in im 0.174 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.174 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.174 * [taylor]: Taking taylor expansion of im in re 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.175 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.175 * [taylor]: Taking taylor expansion of re in re 0.175 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.175 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.175 * [taylor]: Taking taylor expansion of im in re 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.175 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.175 * [taylor]: Taking taylor expansion of re in re 0.176 * [taylor]: Taking taylor expansion of 1 in im 0.177 * [taylor]: Taking taylor expansion of 0 in im 0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.178 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.178 * [taylor]: Taking taylor expansion of im in im 0.180 * [taylor]: Taking taylor expansion of 0 in im 0.183 * [taylor]: Taking taylor expansion of 0 in im 0.184 * * * [progress]: simplifying candidates 0.185 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (expm1 (+ (sqrt (+ (* re re) (* im im))) re)) (log1p (+ (sqrt (+ (* re re) (* im im))) re)) (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) (expm1 (+ (* re re) (* im im))) (log1p (+ (* re re) (* im im))) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) im re (* -1 re) (+ re im) (* 2 re) 0 (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 0.189 * * [simplify]: iteration 0 : 194 enodes (cost 279 ) 0.194 * * [simplify]: iteration 1 : 769 enodes (cost 246 ) 0.205 * * [simplify]: iteration 2 : 2332 enodes (cost 233 ) 0.252 * * [simplify]: iteration 3 : 5002 enodes (cost 230 ) 0.254 * [simplify]: Simplified to: (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (hypot re im) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (hypot re im) (hypot (pow im 3) (pow re 3)) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (expm1 (+ (sqrt (+ (* re re) (* im im))) re)) (log1p (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ re (hypot re im))) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ re (hypot re im))) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (pow (+ re (hypot re im)) 3) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (fma (pow re 2) re (pow (hypot re im) 3)) (fma re (- re (hypot re im)) (fma re re (* im im))) (pow im 2) (- (hypot re im) re) (+ re (hypot re im)) (expm1 (+ (* re re) (* im im))) (log1p (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (pow (hypot re im) 6) (hypot re im) (hypot re im) (fma im (pow im 5) (pow re 6)) (fma im (- (pow im 3) (* (pow re 2) im)) (pow re 4)) (fma (- (pow im 3)) im (pow re 4)) (- (* re re) (* im im)) im re (* -1 re) (+ re im) (* 2 re) 0 (fma re re (* im im)) (fma re re (* im im)) (fma re re (* im im)) 0.254 * * * [progress]: adding candidates to table 0.420 * * [progress]: iteration 2 / 4 0.420 * * * [progress]: picking best candidate 0.424 * * * * [pick]: Picked # 0.424 * * * [progress]: localizing error 0.431 * * * [progress]: generating rewritten candidates 0.431 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2 1 2) 0.434 * * * [progress]: generating series expansions 0.434 * * * * [progress]: [ 1 / 1 ] generating series at (2 2 1 2) 0.434 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 0.434 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.434 * [taylor]: Taking taylor expansion of re in im 0.434 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.434 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.434 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.434 * [taylor]: Taking taylor expansion of (* re re) in im 0.434 * [taylor]: Taking taylor expansion of re in im 0.434 * [taylor]: Taking taylor expansion of re in im 0.434 * [taylor]: Taking taylor expansion of (* im im) in im 0.434 * [taylor]: Taking taylor expansion of im in im 0.434 * [taylor]: Taking taylor expansion of im in im 0.436 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.436 * [taylor]: Taking taylor expansion of re in re 0.436 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.436 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.436 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.436 * [taylor]: Taking taylor expansion of (* re re) in re 0.436 * [taylor]: Taking taylor expansion of re in re 0.436 * [taylor]: Taking taylor expansion of re in re 0.436 * [taylor]: Taking taylor expansion of (* im im) in re 0.436 * [taylor]: Taking taylor expansion of im in re 0.436 * [taylor]: Taking taylor expansion of im in re 0.437 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.437 * [taylor]: Taking taylor expansion of re in re 0.437 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.437 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.437 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.438 * [taylor]: Taking taylor expansion of (* re re) in re 0.438 * [taylor]: Taking taylor expansion of re in re 0.438 * [taylor]: Taking taylor expansion of re in re 0.438 * [taylor]: Taking taylor expansion of (* im im) in re 0.438 * [taylor]: Taking taylor expansion of im in re 0.438 * [taylor]: Taking taylor expansion of im in re 0.439 * [taylor]: Taking taylor expansion of im in im 0.439 * [taylor]: Taking taylor expansion of 1 in im 0.441 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.441 * [taylor]: Taking taylor expansion of 1/2 in im 0.441 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.441 * [taylor]: Taking taylor expansion of im in im 0.443 * [taylor]: Taking taylor expansion of 0 in im 0.445 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 0.445 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 0.445 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.445 * [taylor]: Taking taylor expansion of re in im 0.445 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.445 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.445 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.445 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.445 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.445 * [taylor]: Taking taylor expansion of re in im 0.445 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.445 * [taylor]: Taking taylor expansion of re in im 0.445 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.445 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.445 * [taylor]: Taking taylor expansion of im in im 0.445 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.445 * [taylor]: Taking taylor expansion of im in im 0.448 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.448 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.448 * [taylor]: Taking taylor expansion of re in re 0.448 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.449 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.449 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.449 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.449 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.449 * [taylor]: Taking taylor expansion of re in re 0.449 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.449 * [taylor]: Taking taylor expansion of re in re 0.449 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.449 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.449 * [taylor]: Taking taylor expansion of im in re 0.449 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.449 * [taylor]: Taking taylor expansion of im in re 0.452 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.452 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.452 * [taylor]: Taking taylor expansion of re in re 0.452 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.452 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.452 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.452 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.452 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.452 * [taylor]: Taking taylor expansion of re in re 0.453 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.453 * [taylor]: Taking taylor expansion of re in re 0.453 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.453 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.453 * [taylor]: Taking taylor expansion of im in re 0.453 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.453 * [taylor]: Taking taylor expansion of im in re 0.456 * [taylor]: Taking taylor expansion of 2 in im 0.456 * [taylor]: Taking taylor expansion of 0 in im 0.460 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.460 * [taylor]: Taking taylor expansion of 1/2 in im 0.460 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.460 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.460 * [taylor]: Taking taylor expansion of im in im 0.465 * [taylor]: Taking taylor expansion of 0 in im 0.466 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 0.466 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.466 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.466 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.466 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.466 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.466 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.466 * [taylor]: Taking taylor expansion of -1 in im 0.467 * [taylor]: Taking taylor expansion of re in im 0.467 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.467 * [taylor]: Taking taylor expansion of -1 in im 0.467 * [taylor]: Taking taylor expansion of re in im 0.467 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.467 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.467 * [taylor]: Taking taylor expansion of -1 in im 0.467 * [taylor]: Taking taylor expansion of im in im 0.467 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.467 * [taylor]: Taking taylor expansion of -1 in im 0.467 * [taylor]: Taking taylor expansion of im in im 0.473 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.473 * [taylor]: Taking taylor expansion of re in im 0.473 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.473 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.473 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.474 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.474 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.474 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.474 * [taylor]: Taking taylor expansion of -1 in re 0.474 * [taylor]: Taking taylor expansion of re in re 0.474 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.474 * [taylor]: Taking taylor expansion of -1 in re 0.474 * [taylor]: Taking taylor expansion of re in re 0.474 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.474 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.474 * [taylor]: Taking taylor expansion of -1 in re 0.474 * [taylor]: Taking taylor expansion of im in re 0.474 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.474 * [taylor]: Taking taylor expansion of -1 in re 0.474 * [taylor]: Taking taylor expansion of im in re 0.477 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.477 * [taylor]: Taking taylor expansion of re in re 0.477 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.477 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.478 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.478 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.478 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.478 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.478 * [taylor]: Taking taylor expansion of -1 in re 0.478 * [taylor]: Taking taylor expansion of re in re 0.478 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.478 * [taylor]: Taking taylor expansion of -1 in re 0.478 * [taylor]: Taking taylor expansion of re in re 0.478 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.478 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.478 * [taylor]: Taking taylor expansion of -1 in re 0.478 * [taylor]: Taking taylor expansion of im in re 0.478 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.478 * [taylor]: Taking taylor expansion of -1 in re 0.478 * [taylor]: Taking taylor expansion of im in re 0.481 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.481 * [taylor]: Taking taylor expansion of re in re 0.482 * [taylor]: Taking taylor expansion of 0 in im 0.483 * [taylor]: Taking taylor expansion of 0 in im 0.486 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.486 * [taylor]: Taking taylor expansion of 1/2 in im 0.486 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.486 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.486 * [taylor]: Taking taylor expansion of im in im 0.491 * [taylor]: Taking taylor expansion of 0 in im 0.493 * * * [progress]: simplifying candidates 0.493 * [simplify]: Simplifying using # : (expm1 (+ (hypot re im) re)) (log1p (+ (hypot re im) re)) (* (exp (hypot re im)) (exp re)) (log (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))) (cbrt (+ (hypot re im) re)) (* (* (+ (hypot re im) re) (+ (hypot re im) re)) (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (+ (pow (hypot re im) 3) (pow re 3)) (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re))) (- (* (hypot re im) (hypot re im)) (* re re)) (- (hypot re im) re) (+ (hypot re im) re) (+ re im) (* 2 re) 0 0.496 * * [simplify]: iteration 0 : 74 enodes (cost 61 ) 0.498 * * [simplify]: iteration 1 : 162 enodes (cost 55 ) 0.502 * * [simplify]: iteration 2 : 350 enodes (cost 55 ) 0.508 * * [simplify]: iteration 3 : 952 enodes (cost 54 ) 0.526 * * [simplify]: iteration 4 : 3051 enodes (cost 54 ) 0.566 * * [simplify]: iteration 5 : 5001 enodes (cost 54 ) 0.567 * [simplify]: Simplified to: (expm1 (+ (hypot re im) re)) (log1p (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (log (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))) (cbrt (+ (hypot re im) re)) (pow (+ (hypot re im) re) 3) (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (+ (pow (hypot re im) 3) (pow re 3)) (fma (hypot re im) (- (hypot re im) re) (* re re)) (- (* (hypot re im) (hypot re im)) (* re re)) (- (hypot re im) re) (+ (hypot re im) re) (+ re im) (* 2 re) 0 0.567 * * * [progress]: adding candidates to table 0.618 * * [progress]: iteration 3 / 4 0.618 * * * [progress]: picking best candidate 0.624 * * * * [pick]: Picked # 0.624 * * * [progress]: localizing error 0.634 * * * [progress]: generating rewritten candidates 0.634 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2 1 2) 0.634 * * * [progress]: generating series expansions 0.634 * * * * [progress]: [ 1 / 1 ] generating series at (2 2 1 2) 0.634 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in (re im) around 0 0.635 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in im 0.635 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 0.635 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in im 0.635 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 0.635 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.635 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.635 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.635 * [taylor]: Taking taylor expansion of (* re re) in im 0.635 * [taylor]: Taking taylor expansion of re in im 0.635 * [taylor]: Taking taylor expansion of re in im 0.635 * [taylor]: Taking taylor expansion of (* im im) in im 0.635 * [taylor]: Taking taylor expansion of im in im 0.635 * [taylor]: Taking taylor expansion of im in im 0.636 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 0.636 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.636 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.636 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.636 * [taylor]: Taking taylor expansion of (* re re) in im 0.636 * [taylor]: Taking taylor expansion of re in im 0.636 * [taylor]: Taking taylor expansion of re in im 0.636 * [taylor]: Taking taylor expansion of (* im im) in im 0.637 * [taylor]: Taking taylor expansion of im in im 0.637 * [taylor]: Taking taylor expansion of im in im 0.638 * [taylor]: Taking taylor expansion of re in im 0.638 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in re 0.638 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 0.638 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 0.638 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 0.638 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.638 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.638 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.638 * [taylor]: Taking taylor expansion of (* re re) in re 0.638 * [taylor]: Taking taylor expansion of re in re 0.638 * [taylor]: Taking taylor expansion of re in re 0.638 * [taylor]: Taking taylor expansion of (* im im) in re 0.638 * [taylor]: Taking taylor expansion of im in re 0.638 * [taylor]: Taking taylor expansion of im in re 0.639 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 0.639 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.639 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.639 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.639 * [taylor]: Taking taylor expansion of (* re re) in re 0.639 * [taylor]: Taking taylor expansion of re in re 0.640 * [taylor]: Taking taylor expansion of re in re 0.640 * [taylor]: Taking taylor expansion of (* im im) in re 0.640 * [taylor]: Taking taylor expansion of im in re 0.640 * [taylor]: Taking taylor expansion of im in re 0.641 * [taylor]: Taking taylor expansion of re in re 0.641 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in re 0.641 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 0.641 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 0.641 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 0.641 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.641 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.641 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.641 * [taylor]: Taking taylor expansion of (* re re) in re 0.641 * [taylor]: Taking taylor expansion of re in re 0.641 * [taylor]: Taking taylor expansion of re in re 0.641 * [taylor]: Taking taylor expansion of (* im im) in re 0.641 * [taylor]: Taking taylor expansion of im in re 0.641 * [taylor]: Taking taylor expansion of im in re 0.642 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 0.642 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.642 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.642 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.642 * [taylor]: Taking taylor expansion of (* re re) in re 0.642 * [taylor]: Taking taylor expansion of re in re 0.642 * [taylor]: Taking taylor expansion of re in re 0.643 * [taylor]: Taking taylor expansion of (* im im) in re 0.643 * [taylor]: Taking taylor expansion of im in re 0.643 * [taylor]: Taking taylor expansion of im in re 0.644 * [taylor]: Taking taylor expansion of re in re 0.644 * [taylor]: Taking taylor expansion of im in im 0.644 * [taylor]: Taking taylor expansion of 1 in im 0.649 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.649 * [taylor]: Taking taylor expansion of 1/2 in im 0.649 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.649 * [taylor]: Taking taylor expansion of im in im 0.654 * [taylor]: Taking taylor expansion of 0 in im 0.655 * [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 0.655 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in im 0.655 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) 0.655 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in im 0.655 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 0.655 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.655 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.655 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.655 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.655 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.655 * [taylor]: Taking taylor expansion of re in im 0.655 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.655 * [taylor]: Taking taylor expansion of re in im 0.655 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.655 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.655 * [taylor]: Taking taylor expansion of im in im 0.656 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.656 * [taylor]: Taking taylor expansion of im in im 0.660 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 0.660 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.660 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.660 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.660 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.660 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.660 * [taylor]: Taking taylor expansion of re in im 0.660 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.660 * [taylor]: Taking taylor expansion of re in im 0.660 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.660 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.660 * [taylor]: Taking taylor expansion of im in im 0.660 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.660 * [taylor]: Taking taylor expansion of im in im 0.664 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.664 * [taylor]: Taking taylor expansion of re in im 0.664 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in re 0.664 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) 0.664 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 0.664 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 0.664 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.664 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.664 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.664 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.664 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.664 * [taylor]: Taking taylor expansion of re in re 0.665 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.665 * [taylor]: Taking taylor expansion of re in re 0.665 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.665 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.665 * [taylor]: Taking taylor expansion of im in re 0.665 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.665 * [taylor]: Taking taylor expansion of im in re 0.669 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 0.669 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.669 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.669 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.669 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.669 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.669 * [taylor]: Taking taylor expansion of re in re 0.669 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.669 * [taylor]: Taking taylor expansion of re in re 0.669 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.669 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.670 * [taylor]: Taking taylor expansion of im in re 0.670 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.670 * [taylor]: Taking taylor expansion of im in re 0.673 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.673 * [taylor]: Taking taylor expansion of re in re 0.673 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in re 0.674 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) 0.674 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 0.674 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 0.674 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.674 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.674 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.674 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.674 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.674 * [taylor]: Taking taylor expansion of re in re 0.674 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.674 * [taylor]: Taking taylor expansion of re in re 0.674 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.674 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.674 * [taylor]: Taking taylor expansion of im in re 0.674 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.674 * [taylor]: Taking taylor expansion of im in re 0.681 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 0.681 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.682 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.682 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.682 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.682 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.682 * [taylor]: Taking taylor expansion of re in re 0.682 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.682 * [taylor]: Taking taylor expansion of re in re 0.682 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.682 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.682 * [taylor]: Taking taylor expansion of im in re 0.682 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.682 * [taylor]: Taking taylor expansion of im in re 0.686 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.686 * [taylor]: Taking taylor expansion of re in re 0.687 * [taylor]: Taking taylor expansion of 0 in im 0.688 * [taylor]: Taking taylor expansion of 1 in im 0.694 * [taylor]: Taking taylor expansion of (- +nan.0) in im 0.694 * [taylor]: Taking taylor expansion of +nan.0 in im 0.703 * [taylor]: Taking taylor expansion of (- +nan.0) in im 0.703 * [taylor]: Taking taylor expansion of +nan.0 in im 0.712 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 0.712 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 0.712 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 0.712 * [taylor]: Taking taylor expansion of +nan.0 in im 0.712 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.712 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.712 * [taylor]: Taking taylor expansion of im in im 0.712 * [taylor]: Taking taylor expansion of (- +nan.0) in im 0.712 * [taylor]: Taking taylor expansion of +nan.0 in im 0.715 * [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 0.715 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in im 0.715 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ -1 re)) 0.715 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in im 0.715 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 0.715 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.715 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.715 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.715 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.715 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.715 * [taylor]: Taking taylor expansion of -1 in im 0.715 * [taylor]: Taking taylor expansion of re in im 0.715 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.715 * [taylor]: Taking taylor expansion of -1 in im 0.716 * [taylor]: Taking taylor expansion of re in im 0.716 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.716 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.716 * [taylor]: Taking taylor expansion of -1 in im 0.716 * [taylor]: Taking taylor expansion of im in im 0.716 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.716 * [taylor]: Taking taylor expansion of -1 in im 0.716 * [taylor]: Taking taylor expansion of im in im 0.720 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 0.720 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.720 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.720 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.720 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.720 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.720 * [taylor]: Taking taylor expansion of -1 in im 0.720 * [taylor]: Taking taylor expansion of re in im 0.720 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.720 * [taylor]: Taking taylor expansion of -1 in im 0.720 * [taylor]: Taking taylor expansion of re in im 0.720 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.720 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.720 * [taylor]: Taking taylor expansion of -1 in im 0.720 * [taylor]: Taking taylor expansion of im in im 0.721 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.721 * [taylor]: Taking taylor expansion of -1 in im 0.721 * [taylor]: Taking taylor expansion of im in im 0.724 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.724 * [taylor]: Taking taylor expansion of -1 in im 0.725 * [taylor]: Taking taylor expansion of re in im 0.725 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in re 0.725 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ -1 re)) 0.725 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 0.725 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 0.725 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.725 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.725 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.725 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.725 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.725 * [taylor]: Taking taylor expansion of -1 in re 0.725 * [taylor]: Taking taylor expansion of re in re 0.725 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.725 * [taylor]: Taking taylor expansion of -1 in re 0.725 * [taylor]: Taking taylor expansion of re in re 0.726 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.726 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.726 * [taylor]: Taking taylor expansion of -1 in re 0.726 * [taylor]: Taking taylor expansion of im in re 0.726 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.726 * [taylor]: Taking taylor expansion of -1 in re 0.726 * [taylor]: Taking taylor expansion of im in re 0.730 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 0.730 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.730 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.730 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.730 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.730 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.730 * [taylor]: Taking taylor expansion of -1 in re 0.730 * [taylor]: Taking taylor expansion of re in re 0.730 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.730 * [taylor]: Taking taylor expansion of -1 in re 0.730 * [taylor]: Taking taylor expansion of re in re 0.731 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.731 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.731 * [taylor]: Taking taylor expansion of -1 in re 0.731 * [taylor]: Taking taylor expansion of im in re 0.731 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.731 * [taylor]: Taking taylor expansion of -1 in re 0.731 * [taylor]: Taking taylor expansion of im in re 0.734 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.734 * [taylor]: Taking taylor expansion of -1 in re 0.734 * [taylor]: Taking taylor expansion of re in re 0.735 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in re 0.735 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ -1 re)) 0.735 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 0.735 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 0.735 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.735 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.735 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.735 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.735 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.735 * [taylor]: Taking taylor expansion of -1 in re 0.735 * [taylor]: Taking taylor expansion of re in re 0.735 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.735 * [taylor]: Taking taylor expansion of -1 in re 0.735 * [taylor]: Taking taylor expansion of re in re 0.736 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.736 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.736 * [taylor]: Taking taylor expansion of -1 in re 0.736 * [taylor]: Taking taylor expansion of im in re 0.736 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.736 * [taylor]: Taking taylor expansion of -1 in re 0.736 * [taylor]: Taking taylor expansion of im in re 0.739 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 0.740 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.740 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.740 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.740 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.740 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.740 * [taylor]: Taking taylor expansion of -1 in re 0.740 * [taylor]: Taking taylor expansion of re in re 0.740 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.740 * [taylor]: Taking taylor expansion of -1 in re 0.740 * [taylor]: Taking taylor expansion of re in re 0.740 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.740 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.740 * [taylor]: Taking taylor expansion of -1 in re 0.740 * [taylor]: Taking taylor expansion of im in re 0.740 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.740 * [taylor]: Taking taylor expansion of -1 in re 0.741 * [taylor]: Taking taylor expansion of im in re 0.744 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.744 * [taylor]: Taking taylor expansion of -1 in re 0.744 * [taylor]: Taking taylor expansion of re in re 0.745 * [taylor]: Taking taylor expansion of 0 in im 0.746 * [taylor]: Taking taylor expansion of -1 in im 0.752 * [taylor]: Taking taylor expansion of (- +nan.0) in im 0.752 * [taylor]: Taking taylor expansion of +nan.0 in im 0.762 * [taylor]: Taking taylor expansion of (- +nan.0) in im 0.762 * [taylor]: Taking taylor expansion of +nan.0 in im 0.777 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 0.777 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 0.777 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 0.777 * [taylor]: Taking taylor expansion of +nan.0 in im 0.777 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.777 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.777 * [taylor]: Taking taylor expansion of im in im 0.778 * [taylor]: Taking taylor expansion of (- +nan.0) in im 0.778 * [taylor]: Taking taylor expansion of +nan.0 in im 0.780 * * * [progress]: simplifying candidates 0.781 * [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)) (+ re im) (- re (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0))) (- re (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0))) 0.784 * * [simplify]: iteration 0 : 45 enodes (cost 88 ) 0.785 * * [simplify]: iteration 1 : 118 enodes (cost 73 ) 0.788 * * [simplify]: iteration 2 : 387 enodes (cost 69 ) 0.795 * * [simplify]: iteration 3 : 1530 enodes (cost 66 ) 0.826 * * [simplify]: iteration 4 : 5001 enodes (cost 66 ) 0.827 * [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 (+ re (hypot re im)) 3) (hypot (sqrt (hypot re im)) (pow re 1/2)) (hypot (sqrt (hypot re im)) (pow re 1/2)) (+ re im) (+ (- re (* +nan.0 (/ (pow im 2) (pow re 2)))) +nan.0) (+ (- re (* +nan.0 (/ (pow im 2) (pow re 2)))) +nan.0) 0.827 * * * [progress]: adding candidates to table 0.861 * * [progress]: iteration 4 / 4 0.861 * * * [progress]: picking best candidate 0.868 * * * * [pick]: Picked # 0.869 * * * [progress]: localizing error 0.884 * * * [progress]: generating rewritten candidates 0.884 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2) 0.884 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2) 0.885 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 2) 0.885 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1) 0.886 * * * [progress]: generating series expansions 0.886 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2) 0.887 * [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 0.887 * [taylor]: Taking taylor expansion of (fma (pow (pow (hypot re im) 2) 1/3) (pow (hypot re im) 1/3) re) in im 0.887 * [taylor]: Rewrote expression to (+ (* (pow (pow (hypot re im) 2) 1/3) (pow (hypot re im) 1/3)) re) 0.887 * [taylor]: Taking taylor expansion of (* (pow (pow (hypot re im) 2) 1/3) (pow (hypot re im) 1/3)) in im 0.887 * [taylor]: Taking taylor expansion of (pow (pow (hypot re im) 2) 1/3) in im 0.887 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot re im) 2)))) in im 0.887 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot re im) 2))) in im 0.887 * [taylor]: Taking taylor expansion of 1/3 in im 0.887 * [taylor]: Taking taylor expansion of (log (pow (hypot re im) 2)) in im 0.887 * [taylor]: Taking taylor expansion of (pow (hypot re im) 2) in im 0.887 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.887 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.887 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.887 * [taylor]: Taking taylor expansion of (* re re) in im 0.887 * [taylor]: Taking taylor expansion of re in im 0.887 * [taylor]: Taking taylor expansion of re in im 0.887 * [taylor]: Taking taylor expansion of (* im im) in im 0.887 * [taylor]: Taking taylor expansion of im in im 0.887 * [taylor]: Taking taylor expansion of im in im 0.889 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in im 0.889 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in im 0.889 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in im 0.889 * [taylor]: Taking taylor expansion of 1/3 in im 0.889 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im 0.889 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.889 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.889 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.889 * [taylor]: Taking taylor expansion of (* re re) in im 0.889 * [taylor]: Taking taylor expansion of re in im 0.889 * [taylor]: Taking taylor expansion of re in im 0.889 * [taylor]: Taking taylor expansion of (* im im) in im 0.889 * [taylor]: Taking taylor expansion of im in im 0.889 * [taylor]: Taking taylor expansion of im in im 0.891 * [taylor]: Taking taylor expansion of re in im 0.891 * [taylor]: Taking taylor expansion of (fma (pow (pow (hypot re im) 2) 1/3) (pow (hypot re im) 1/3) re) in re 0.891 * [taylor]: Rewrote expression to (+ (* (pow (pow (hypot re im) 2) 1/3) (pow (hypot re im) 1/3)) re) 0.891 * [taylor]: Taking taylor expansion of (* (pow (pow (hypot re im) 2) 1/3) (pow (hypot re im) 1/3)) in re 0.891 * [taylor]: Taking taylor expansion of (pow (pow (hypot re im) 2) 1/3) in re 0.891 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot re im) 2)))) in re 0.891 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot re im) 2))) in re 0.891 * [taylor]: Taking taylor expansion of 1/3 in re 0.891 * [taylor]: Taking taylor expansion of (log (pow (hypot re im) 2)) in re 0.891 * [taylor]: Taking taylor expansion of (pow (hypot re im) 2) in re 0.891 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.891 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.891 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.891 * [taylor]: Taking taylor expansion of (* re re) in re 0.891 * [taylor]: Taking taylor expansion of re in re 0.891 * [taylor]: Taking taylor expansion of re in re 0.891 * [taylor]: Taking taylor expansion of (* im im) in re 0.891 * [taylor]: Taking taylor expansion of im in re 0.891 * [taylor]: Taking taylor expansion of im in re 0.893 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 0.893 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 0.893 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 0.893 * [taylor]: Taking taylor expansion of 1/3 in re 0.893 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 0.893 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.893 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.893 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.893 * [taylor]: Taking taylor expansion of (* re re) in re 0.893 * [taylor]: Taking taylor expansion of re in re 0.893 * [taylor]: Taking taylor expansion of re in re 0.893 * [taylor]: Taking taylor expansion of (* im im) in re 0.893 * [taylor]: Taking taylor expansion of im in re 0.893 * [taylor]: Taking taylor expansion of im in re 0.894 * [taylor]: Taking taylor expansion of re in re 0.894 * [taylor]: Taking taylor expansion of (fma (pow (pow (hypot re im) 2) 1/3) (pow (hypot re im) 1/3) re) in re 0.894 * [taylor]: Rewrote expression to (+ (* (pow (pow (hypot re im) 2) 1/3) (pow (hypot re im) 1/3)) re) 0.894 * [taylor]: Taking taylor expansion of (* (pow (pow (hypot re im) 2) 1/3) (pow (hypot re im) 1/3)) in re 0.894 * [taylor]: Taking taylor expansion of (pow (pow (hypot re im) 2) 1/3) in re 0.894 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot re im) 2)))) in re 0.894 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot re im) 2))) in re 0.894 * [taylor]: Taking taylor expansion of 1/3 in re 0.894 * [taylor]: Taking taylor expansion of (log (pow (hypot re im) 2)) in re 0.894 * [taylor]: Taking taylor expansion of (pow (hypot re im) 2) in re 0.894 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.894 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.894 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.895 * [taylor]: Taking taylor expansion of (* re re) in re 0.895 * [taylor]: Taking taylor expansion of re in re 0.895 * [taylor]: Taking taylor expansion of re in re 0.895 * [taylor]: Taking taylor expansion of (* im im) in re 0.895 * [taylor]: Taking taylor expansion of im in re 0.895 * [taylor]: Taking taylor expansion of im in re 0.896 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 0.896 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 0.896 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 0.896 * [taylor]: Taking taylor expansion of 1/3 in re 0.896 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 0.896 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.896 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.896 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.896 * [taylor]: Taking taylor expansion of (* re re) in re 0.896 * [taylor]: Taking taylor expansion of re in re 0.896 * [taylor]: Taking taylor expansion of re in re 0.896 * [taylor]: Taking taylor expansion of (* im im) in re 0.896 * [taylor]: Taking taylor expansion of im in re 0.896 * [taylor]: Taking taylor expansion of im in re 0.898 * [taylor]: Taking taylor expansion of re in re 0.898 * [taylor]: Taking taylor expansion of im in im 0.901 * [taylor]: Taking taylor expansion of 1 in im 0.909 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.909 * [taylor]: Taking taylor expansion of 1/2 in im 0.909 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.909 * [taylor]: Taking taylor expansion of im in im 0.921 * [taylor]: Taking taylor expansion of 0 in im 0.923 * [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 0.923 * [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 0.923 * [taylor]: Rewrote expression to (+ (* (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3) (pow (hypot (/ 1 re) (/ 1 im)) 1/3)) (/ 1 re)) 0.923 * [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 0.923 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3) in im 0.923 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot (/ 1 re) (/ 1 im)) 2)))) in im 0.923 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot (/ 1 re) (/ 1 im)) 2))) in im 0.923 * [taylor]: Taking taylor expansion of 1/3 in im 0.923 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ 1 re) (/ 1 im)) 2)) in im 0.923 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 2) in im 0.923 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.923 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.923 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.923 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.923 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.923 * [taylor]: Taking taylor expansion of re in im 0.923 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.923 * [taylor]: Taking taylor expansion of re in im 0.923 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.923 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.923 * [taylor]: Taking taylor expansion of im in im 0.923 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.923 * [taylor]: Taking taylor expansion of im in im 0.927 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in im 0.927 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in im 0.927 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in im 0.927 * [taylor]: Taking taylor expansion of 1/3 in im 0.927 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im 0.927 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.927 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.927 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.927 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.928 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.928 * [taylor]: Taking taylor expansion of re in im 0.928 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.928 * [taylor]: Taking taylor expansion of re in im 0.928 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.928 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.928 * [taylor]: Taking taylor expansion of im in im 0.928 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.928 * [taylor]: Taking taylor expansion of im in im 0.931 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.931 * [taylor]: Taking taylor expansion of re in im 0.931 * [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 0.931 * [taylor]: Rewrote expression to (+ (* (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3) (pow (hypot (/ 1 re) (/ 1 im)) 1/3)) (/ 1 re)) 0.931 * [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 0.932 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3) in re 0.932 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot (/ 1 re) (/ 1 im)) 2)))) in re 0.932 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot (/ 1 re) (/ 1 im)) 2))) in re 0.932 * [taylor]: Taking taylor expansion of 1/3 in re 0.932 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ 1 re) (/ 1 im)) 2)) in re 0.932 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 2) in re 0.932 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.932 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.932 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.932 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.932 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.932 * [taylor]: Taking taylor expansion of re in re 0.932 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.932 * [taylor]: Taking taylor expansion of re in re 0.932 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.932 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.932 * [taylor]: Taking taylor expansion of im in re 0.932 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.932 * [taylor]: Taking taylor expansion of im in re 0.936 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 0.936 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 0.936 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 0.936 * [taylor]: Taking taylor expansion of 1/3 in re 0.936 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 0.936 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.936 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.936 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.936 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.936 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.936 * [taylor]: Taking taylor expansion of re in re 0.936 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.936 * [taylor]: Taking taylor expansion of re in re 0.937 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.937 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.937 * [taylor]: Taking taylor expansion of im in re 0.937 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.937 * [taylor]: Taking taylor expansion of im in re 0.940 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.940 * [taylor]: Taking taylor expansion of re in re 0.940 * [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 0.941 * [taylor]: Rewrote expression to (+ (* (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3) (pow (hypot (/ 1 re) (/ 1 im)) 1/3)) (/ 1 re)) 0.941 * [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 0.941 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3) in re 0.941 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot (/ 1 re) (/ 1 im)) 2)))) in re 0.941 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot (/ 1 re) (/ 1 im)) 2))) in re 0.941 * [taylor]: Taking taylor expansion of 1/3 in re 0.941 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ 1 re) (/ 1 im)) 2)) in re 0.941 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 2) in re 0.941 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.941 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.941 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.941 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.941 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.941 * [taylor]: Taking taylor expansion of re in re 0.941 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.941 * [taylor]: Taking taylor expansion of re in re 0.941 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.941 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.941 * [taylor]: Taking taylor expansion of im in re 0.941 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.941 * [taylor]: Taking taylor expansion of im in re 0.945 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 0.945 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 0.945 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 0.945 * [taylor]: Taking taylor expansion of 1/3 in re 0.945 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 0.945 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.945 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.945 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.945 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.945 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.945 * [taylor]: Taking taylor expansion of re in re 0.945 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.945 * [taylor]: Taking taylor expansion of re in re 0.946 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.946 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.946 * [taylor]: Taking taylor expansion of im in re 0.946 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.946 * [taylor]: Taking taylor expansion of im in re 0.949 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.949 * [taylor]: Taking taylor expansion of re in re 0.950 * [taylor]: Taking taylor expansion of 1 in im 0.950 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.950 * [taylor]: Taking taylor expansion of re in im 0.955 * [taylor]: Taking taylor expansion of 0 in im 0.967 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* re (pow im 2)))) in im 0.967 * [taylor]: Taking taylor expansion of 1/2 in im 0.967 * [taylor]: Taking taylor expansion of (/ 1 (* re (pow im 2))) in im 0.967 * [taylor]: Taking taylor expansion of (* re (pow im 2)) in im 0.967 * [taylor]: Taking taylor expansion of re in im 0.967 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.967 * [taylor]: Taking taylor expansion of im in im 0.970 * [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 0.970 * [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 0.970 * [taylor]: Rewrote expression to (+ (* (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3) (pow (hypot (/ -1 re) (/ -1 im)) 1/3)) (/ -1 re)) 0.970 * [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 0.970 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3) in im 0.970 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot (/ -1 re) (/ -1 im)) 2)))) in im 0.970 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot (/ -1 re) (/ -1 im)) 2))) in im 0.970 * [taylor]: Taking taylor expansion of 1/3 in im 0.970 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ -1 re) (/ -1 im)) 2)) in im 0.970 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 2) in im 0.970 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.970 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.970 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.970 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.970 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.970 * [taylor]: Taking taylor expansion of -1 in im 0.970 * [taylor]: Taking taylor expansion of re in im 0.971 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.971 * [taylor]: Taking taylor expansion of -1 in im 0.971 * [taylor]: Taking taylor expansion of re in im 0.971 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.971 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.971 * [taylor]: Taking taylor expansion of -1 in im 0.971 * [taylor]: Taking taylor expansion of im in im 0.976 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.977 * [taylor]: Taking taylor expansion of -1 in im 0.977 * [taylor]: Taking taylor expansion of im in im 0.980 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in im 0.981 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in im 0.981 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in im 0.981 * [taylor]: Taking taylor expansion of 1/3 in im 0.981 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im 0.981 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.981 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.981 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.981 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.981 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.981 * [taylor]: Taking taylor expansion of -1 in im 0.981 * [taylor]: Taking taylor expansion of re in im 0.981 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.981 * [taylor]: Taking taylor expansion of -1 in im 0.981 * [taylor]: Taking taylor expansion of re in im 0.981 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.981 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.981 * [taylor]: Taking taylor expansion of -1 in im 0.981 * [taylor]: Taking taylor expansion of im in im 0.981 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.981 * [taylor]: Taking taylor expansion of -1 in im 0.981 * [taylor]: Taking taylor expansion of im in im 0.985 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.985 * [taylor]: Taking taylor expansion of -1 in im 0.985 * [taylor]: Taking taylor expansion of re in im 0.985 * [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 0.985 * [taylor]: Rewrote expression to (+ (* (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3) (pow (hypot (/ -1 re) (/ -1 im)) 1/3)) (/ -1 re)) 0.985 * [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 0.985 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3) in re 0.985 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot (/ -1 re) (/ -1 im)) 2)))) in re 0.985 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot (/ -1 re) (/ -1 im)) 2))) in re 0.985 * [taylor]: Taking taylor expansion of 1/3 in re 0.985 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ -1 re) (/ -1 im)) 2)) in re 0.985 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 2) in re 0.985 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.985 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.985 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.985 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.985 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.985 * [taylor]: Taking taylor expansion of -1 in re 0.985 * [taylor]: Taking taylor expansion of re in re 0.986 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.986 * [taylor]: Taking taylor expansion of -1 in re 0.986 * [taylor]: Taking taylor expansion of re in re 0.986 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.986 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.986 * [taylor]: Taking taylor expansion of -1 in re 0.986 * [taylor]: Taking taylor expansion of im in re 0.986 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.986 * [taylor]: Taking taylor expansion of -1 in re 0.986 * [taylor]: Taking taylor expansion of im in re 0.990 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 0.990 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 0.990 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 0.990 * [taylor]: Taking taylor expansion of 1/3 in re 0.990 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 0.990 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.990 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.990 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.990 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.990 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.990 * [taylor]: Taking taylor expansion of -1 in re 0.990 * [taylor]: Taking taylor expansion of re in re 0.990 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.991 * [taylor]: Taking taylor expansion of -1 in re 0.991 * [taylor]: Taking taylor expansion of re in re 0.991 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.991 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.991 * [taylor]: Taking taylor expansion of -1 in re 0.991 * [taylor]: Taking taylor expansion of im in re 0.991 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.991 * [taylor]: Taking taylor expansion of -1 in re 0.991 * [taylor]: Taking taylor expansion of im in re 0.994 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.994 * [taylor]: Taking taylor expansion of -1 in re 0.994 * [taylor]: Taking taylor expansion of re in re 0.994 * [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 0.995 * [taylor]: Rewrote expression to (+ (* (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3) (pow (hypot (/ -1 re) (/ -1 im)) 1/3)) (/ -1 re)) 0.995 * [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 0.995 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3) in re 0.995 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot (/ -1 re) (/ -1 im)) 2)))) in re 0.995 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot (/ -1 re) (/ -1 im)) 2))) in re 0.995 * [taylor]: Taking taylor expansion of 1/3 in re 0.995 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ -1 re) (/ -1 im)) 2)) in re 0.995 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 2) in re 0.995 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.995 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.995 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.995 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.995 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.995 * [taylor]: Taking taylor expansion of -1 in re 0.995 * [taylor]: Taking taylor expansion of re in re 0.995 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.995 * [taylor]: Taking taylor expansion of -1 in re 0.995 * [taylor]: Taking taylor expansion of re in re 0.996 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.996 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.996 * [taylor]: Taking taylor expansion of -1 in re 0.996 * [taylor]: Taking taylor expansion of im in re 0.996 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.996 * [taylor]: Taking taylor expansion of -1 in re 0.996 * [taylor]: Taking taylor expansion of im in re 0.999 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 0.999 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 0.999 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 0.999 * [taylor]: Taking taylor expansion of 1/3 in re 0.999 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 0.999 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.999 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.999 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.999 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.999 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.999 * [taylor]: Taking taylor expansion of -1 in re 1.000 * [taylor]: Taking taylor expansion of re in re 1.000 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.000 * [taylor]: Taking taylor expansion of -1 in re 1.000 * [taylor]: Taking taylor expansion of re in re 1.000 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.000 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.000 * [taylor]: Taking taylor expansion of -1 in re 1.000 * [taylor]: Taking taylor expansion of im in re 1.000 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.000 * [taylor]: Taking taylor expansion of -1 in re 1.000 * [taylor]: Taking taylor expansion of im in re 1.004 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.004 * [taylor]: Taking taylor expansion of -1 in re 1.004 * [taylor]: Taking taylor expansion of re in re 1.004 * [taylor]: Taking taylor expansion of -1 in im 1.005 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.005 * [taylor]: Taking taylor expansion of re in im 1.010 * [taylor]: Taking taylor expansion of 0 in im 1.022 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* re (pow im 2)))) in im 1.022 * [taylor]: Taking taylor expansion of 1/2 in im 1.022 * [taylor]: Taking taylor expansion of (/ 1 (* re (pow im 2))) in im 1.022 * [taylor]: Taking taylor expansion of (* re (pow im 2)) in im 1.022 * [taylor]: Taking taylor expansion of re in im 1.022 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.022 * [taylor]: Taking taylor expansion of im in im 1.025 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2) 1.025 * [approximate]: Taking taylor expansion of (pow (hypot re im) 1/3) in (re im) around 0 1.025 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in im 1.025 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in im 1.025 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in im 1.025 * [taylor]: Taking taylor expansion of 1/3 in im 1.025 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im 1.025 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.025 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.025 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.025 * [taylor]: Taking taylor expansion of (* re re) in im 1.025 * [taylor]: Taking taylor expansion of re in im 1.025 * [taylor]: Taking taylor expansion of re in im 1.025 * [taylor]: Taking taylor expansion of (* im im) in im 1.025 * [taylor]: Taking taylor expansion of im in im 1.025 * [taylor]: Taking taylor expansion of im in im 1.026 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 1.026 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 1.026 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 1.026 * [taylor]: Taking taylor expansion of 1/3 in re 1.027 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 1.027 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.027 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.027 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.027 * [taylor]: Taking taylor expansion of (* re re) in re 1.027 * [taylor]: Taking taylor expansion of re in re 1.027 * [taylor]: Taking taylor expansion of re in re 1.027 * [taylor]: Taking taylor expansion of (* im im) in re 1.027 * [taylor]: Taking taylor expansion of im in re 1.027 * [taylor]: Taking taylor expansion of im in re 1.028 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 1.028 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 1.028 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 1.028 * [taylor]: Taking taylor expansion of 1/3 in re 1.028 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 1.028 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.028 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.028 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.028 * [taylor]: Taking taylor expansion of (* re re) in re 1.028 * [taylor]: Taking taylor expansion of re in re 1.028 * [taylor]: Taking taylor expansion of re in re 1.028 * [taylor]: Taking taylor expansion of (* im im) in re 1.028 * [taylor]: Taking taylor expansion of im in re 1.028 * [taylor]: Taking taylor expansion of im in re 1.030 * [taylor]: Taking taylor expansion of (pow im 1/3) in im 1.030 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log im))) in im 1.030 * [taylor]: Taking taylor expansion of (* 1/3 (log im)) in im 1.030 * [taylor]: Taking taylor expansion of 1/3 in im 1.030 * [taylor]: Taking taylor expansion of (log im) in im 1.030 * [taylor]: Taking taylor expansion of im in im 1.032 * [taylor]: Taking taylor expansion of 0 in im 1.037 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) in im 1.037 * [taylor]: Taking taylor expansion of 1/6 in im 1.037 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im 1.037 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im 1.037 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im 1.037 * [taylor]: Taking taylor expansion of 1/3 in im 1.037 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 1.037 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 1.037 * [taylor]: Taking taylor expansion of (pow im 5) in im 1.037 * [taylor]: Taking taylor expansion of im in im 1.047 * [taylor]: Taking taylor expansion of 0 in im 1.055 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in (re im) around 0 1.055 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in im 1.055 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in im 1.055 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in im 1.055 * [taylor]: Taking taylor expansion of 1/3 in im 1.055 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im 1.055 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.055 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.055 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.055 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.055 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.055 * [taylor]: Taking taylor expansion of re in im 1.055 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.056 * [taylor]: Taking taylor expansion of re in im 1.056 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.056 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.056 * [taylor]: Taking taylor expansion of im in im 1.056 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.056 * [taylor]: Taking taylor expansion of im in im 1.059 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 1.059 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 1.059 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 1.059 * [taylor]: Taking taylor expansion of 1/3 in re 1.059 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 1.059 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.059 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.059 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.059 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.059 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.060 * [taylor]: Taking taylor expansion of re in re 1.060 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.060 * [taylor]: Taking taylor expansion of re in re 1.060 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.060 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.060 * [taylor]: Taking taylor expansion of im in re 1.060 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.060 * [taylor]: Taking taylor expansion of im in re 1.069 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 1.069 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 1.069 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 1.069 * [taylor]: Taking taylor expansion of 1/3 in re 1.069 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 1.069 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 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 re 1.069 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.069 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.069 * [taylor]: Taking taylor expansion of re in re 1.070 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.070 * [taylor]: Taking taylor expansion of re in re 1.070 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.070 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.070 * [taylor]: Taking taylor expansion of im in re 1.070 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.070 * [taylor]: Taking taylor expansion of im in re 1.073 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 1.073 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 1.073 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 1.073 * [taylor]: Taking taylor expansion of -1/3 in im 1.073 * [taylor]: Taking taylor expansion of (log re) in im 1.073 * [taylor]: Taking taylor expansion of re in im 1.075 * [taylor]: Taking taylor expansion of 0 in im 1.082 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 1.082 * [taylor]: Taking taylor expansion of 1/6 in im 1.082 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 1.082 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 1.082 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 1.082 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 1.082 * [taylor]: Taking taylor expansion of 1/3 in im 1.082 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 1.082 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.082 * [taylor]: Taking taylor expansion of re in im 1.082 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.082 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.082 * [taylor]: Taking taylor expansion of im in im 1.099 * [taylor]: Taking taylor expansion of 0 in im 1.099 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in (re im) around 0 1.099 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in im 1.099 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in im 1.099 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in im 1.099 * [taylor]: Taking taylor expansion of 1/3 in im 1.099 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im 1.099 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.100 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.100 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.100 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.100 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.100 * [taylor]: Taking taylor expansion of -1 in im 1.100 * [taylor]: Taking taylor expansion of re in im 1.100 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.100 * [taylor]: Taking taylor expansion of -1 in im 1.100 * [taylor]: Taking taylor expansion of re in im 1.100 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.100 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.100 * [taylor]: Taking taylor expansion of -1 in im 1.100 * [taylor]: Taking taylor expansion of im in im 1.100 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.100 * [taylor]: Taking taylor expansion of -1 in im 1.100 * [taylor]: Taking taylor expansion of im in im 1.104 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 1.104 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 1.104 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 1.104 * [taylor]: Taking taylor expansion of 1/3 in re 1.104 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 1.104 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.104 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.104 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.104 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.104 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.104 * [taylor]: Taking taylor expansion of -1 in re 1.104 * [taylor]: Taking taylor expansion of re in re 1.104 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.104 * [taylor]: Taking taylor expansion of -1 in re 1.104 * [taylor]: Taking taylor expansion of re in re 1.105 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.105 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.105 * [taylor]: Taking taylor expansion of -1 in re 1.105 * [taylor]: Taking taylor expansion of im in re 1.105 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.105 * [taylor]: Taking taylor expansion of -1 in re 1.105 * [taylor]: Taking taylor expansion of im in re 1.108 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 1.108 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 1.108 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 1.108 * [taylor]: Taking taylor expansion of 1/3 in re 1.108 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 1.108 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.108 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.108 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.108 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.108 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.108 * [taylor]: Taking taylor expansion of -1 in re 1.108 * [taylor]: Taking taylor expansion of re in re 1.109 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.109 * [taylor]: Taking taylor expansion of -1 in re 1.109 * [taylor]: Taking taylor expansion of re in re 1.109 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.109 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.109 * [taylor]: Taking taylor expansion of -1 in re 1.109 * [taylor]: Taking taylor expansion of im in re 1.109 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.109 * [taylor]: Taking taylor expansion of -1 in re 1.109 * [taylor]: Taking taylor expansion of im in re 1.112 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 1.112 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 1.112 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 1.113 * [taylor]: Taking taylor expansion of -1/3 in im 1.113 * [taylor]: Taking taylor expansion of (log re) in im 1.113 * [taylor]: Taking taylor expansion of re in im 1.114 * [taylor]: Taking taylor expansion of 0 in im 1.121 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 1.121 * [taylor]: Taking taylor expansion of 1/6 in im 1.121 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 1.121 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 1.121 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 1.121 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 1.121 * [taylor]: Taking taylor expansion of 1/3 in im 1.121 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 1.121 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.121 * [taylor]: Taking taylor expansion of re in im 1.121 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.121 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.121 * [taylor]: Taking taylor expansion of im in im 1.138 * [taylor]: Taking taylor expansion of 0 in im 1.138 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 2) 1.138 * [approximate]: Taking taylor expansion of (pow (hypot re im) 1/3) in (re im) around 0 1.138 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in im 1.138 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in im 1.138 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in im 1.138 * [taylor]: Taking taylor expansion of 1/3 in im 1.138 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im 1.138 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.138 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.138 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.138 * [taylor]: Taking taylor expansion of (* re re) in im 1.138 * [taylor]: Taking taylor expansion of re in im 1.138 * [taylor]: Taking taylor expansion of re in im 1.138 * [taylor]: Taking taylor expansion of (* im im) in im 1.138 * [taylor]: Taking taylor expansion of im in im 1.139 * [taylor]: Taking taylor expansion of im in im 1.140 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 1.140 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 1.140 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 1.140 * [taylor]: Taking taylor expansion of 1/3 in re 1.140 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 1.140 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.140 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.140 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.140 * [taylor]: Taking taylor expansion of (* re re) in re 1.140 * [taylor]: Taking taylor expansion of re in re 1.140 * [taylor]: Taking taylor expansion of re in re 1.140 * [taylor]: Taking taylor expansion of (* im im) in re 1.140 * [taylor]: Taking taylor expansion of im in re 1.140 * [taylor]: Taking taylor expansion of im in re 1.141 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 1.141 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 1.141 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 1.141 * [taylor]: Taking taylor expansion of 1/3 in re 1.141 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 1.141 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.141 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.141 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.141 * [taylor]: Taking taylor expansion of (* re re) in re 1.142 * [taylor]: Taking taylor expansion of re in re 1.142 * [taylor]: Taking taylor expansion of re in re 1.142 * [taylor]: Taking taylor expansion of (* im im) in re 1.142 * [taylor]: Taking taylor expansion of im in re 1.142 * [taylor]: Taking taylor expansion of im in re 1.143 * [taylor]: Taking taylor expansion of (pow im 1/3) in im 1.143 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log im))) in im 1.143 * [taylor]: Taking taylor expansion of (* 1/3 (log im)) in im 1.143 * [taylor]: Taking taylor expansion of 1/3 in im 1.143 * [taylor]: Taking taylor expansion of (log im) in im 1.143 * [taylor]: Taking taylor expansion of im in im 1.145 * [taylor]: Taking taylor expansion of 0 in im 1.150 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) in im 1.150 * [taylor]: Taking taylor expansion of 1/6 in im 1.150 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im 1.150 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im 1.150 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im 1.150 * [taylor]: Taking taylor expansion of 1/3 in im 1.150 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 1.150 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 1.150 * [taylor]: Taking taylor expansion of (pow im 5) in im 1.150 * [taylor]: Taking taylor expansion of im in im 1.166 * [taylor]: Taking taylor expansion of 0 in im 1.175 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in (re im) around 0 1.175 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in im 1.175 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in im 1.175 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in im 1.175 * [taylor]: Taking taylor expansion of 1/3 in im 1.175 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im 1.175 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.175 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.175 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.175 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.175 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.175 * [taylor]: Taking taylor expansion of re in im 1.175 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.175 * [taylor]: Taking taylor expansion of re in im 1.175 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.175 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.175 * [taylor]: Taking taylor expansion of im in im 1.175 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.176 * [taylor]: Taking taylor expansion of im in im 1.179 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 1.179 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 1.179 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 1.179 * [taylor]: Taking taylor expansion of 1/3 in re 1.179 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 1.179 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.179 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.179 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.179 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.179 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.179 * [taylor]: Taking taylor expansion of re in re 1.179 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.179 * [taylor]: Taking taylor expansion of re in re 1.180 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.180 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.180 * [taylor]: Taking taylor expansion of im in re 1.180 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.180 * [taylor]: Taking taylor expansion of im in re 1.183 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 1.183 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 1.183 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 1.183 * [taylor]: Taking taylor expansion of 1/3 in re 1.183 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 1.183 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.183 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.183 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.183 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.183 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.183 * [taylor]: Taking taylor expansion of re in re 1.183 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.183 * [taylor]: Taking taylor expansion of re in re 1.184 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.184 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.184 * [taylor]: Taking taylor expansion of im in re 1.184 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.184 * [taylor]: Taking taylor expansion of im in re 1.187 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 1.187 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 1.187 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 1.187 * [taylor]: Taking taylor expansion of -1/3 in im 1.187 * [taylor]: Taking taylor expansion of (log re) in im 1.187 * [taylor]: Taking taylor expansion of re in im 1.189 * [taylor]: Taking taylor expansion of 0 in im 1.196 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 1.196 * [taylor]: Taking taylor expansion of 1/6 in im 1.196 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 1.196 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 1.196 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 1.196 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 1.196 * [taylor]: Taking taylor expansion of 1/3 in im 1.196 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 1.196 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.196 * [taylor]: Taking taylor expansion of re in im 1.196 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.196 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.196 * [taylor]: Taking taylor expansion of im in im 1.212 * [taylor]: Taking taylor expansion of 0 in im 1.213 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in (re im) around 0 1.213 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in im 1.213 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in im 1.213 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in im 1.213 * [taylor]: Taking taylor expansion of 1/3 in im 1.213 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im 1.213 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.213 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.213 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.213 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.213 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.213 * [taylor]: Taking taylor expansion of -1 in im 1.213 * [taylor]: Taking taylor expansion of re in im 1.213 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.213 * [taylor]: Taking taylor expansion of -1 in im 1.213 * [taylor]: Taking taylor expansion of re in im 1.213 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.213 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.213 * [taylor]: Taking taylor expansion of -1 in im 1.213 * [taylor]: Taking taylor expansion of im in im 1.213 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.213 * [taylor]: Taking taylor expansion of -1 in im 1.213 * [taylor]: Taking taylor expansion of im in im 1.217 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 1.217 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 1.217 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 1.217 * [taylor]: Taking taylor expansion of 1/3 in re 1.217 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 1.217 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.217 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.217 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.217 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.217 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.217 * [taylor]: Taking taylor expansion of -1 in re 1.217 * [taylor]: Taking taylor expansion of re in re 1.217 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.218 * [taylor]: Taking taylor expansion of -1 in re 1.218 * [taylor]: Taking taylor expansion of re in re 1.218 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.218 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.218 * [taylor]: Taking taylor expansion of -1 in re 1.218 * [taylor]: Taking taylor expansion of im in re 1.218 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.218 * [taylor]: Taking taylor expansion of -1 in re 1.218 * [taylor]: Taking taylor expansion of im in re 1.221 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 1.221 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 1.221 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 1.221 * [taylor]: Taking taylor expansion of 1/3 in re 1.221 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 1.221 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.221 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.221 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.221 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.221 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.221 * [taylor]: Taking taylor expansion of -1 in re 1.221 * [taylor]: Taking taylor expansion of re in re 1.222 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.222 * [taylor]: Taking taylor expansion of -1 in re 1.222 * [taylor]: Taking taylor expansion of re in re 1.222 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.222 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.222 * [taylor]: Taking taylor expansion of -1 in re 1.222 * [taylor]: Taking taylor expansion of im in re 1.222 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.222 * [taylor]: Taking taylor expansion of -1 in re 1.222 * [taylor]: Taking taylor expansion of im in re 1.226 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 1.226 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 1.226 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 1.226 * [taylor]: Taking taylor expansion of -1/3 in im 1.226 * [taylor]: Taking taylor expansion of (log re) in im 1.226 * [taylor]: Taking taylor expansion of re in im 1.228 * [taylor]: Taking taylor expansion of 0 in im 1.234 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 1.234 * [taylor]: Taking taylor expansion of 1/6 in im 1.234 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 1.234 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 1.234 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 1.234 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 1.234 * [taylor]: Taking taylor expansion of 1/3 in im 1.234 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 1.234 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.234 * [taylor]: Taking taylor expansion of re in im 1.234 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.234 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.234 * [taylor]: Taking taylor expansion of im in im 1.257 * [taylor]: Taking taylor expansion of 0 in im 1.257 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1) 1.257 * [approximate]: Taking taylor expansion of (pow (hypot re im) 1/3) in (re im) around 0 1.258 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in im 1.258 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in im 1.258 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in im 1.258 * [taylor]: Taking taylor expansion of 1/3 in im 1.258 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im 1.258 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.258 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.258 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.258 * [taylor]: Taking taylor expansion of (* re re) in im 1.258 * [taylor]: Taking taylor expansion of re in im 1.258 * [taylor]: Taking taylor expansion of re in im 1.258 * [taylor]: Taking taylor expansion of (* im im) in im 1.258 * [taylor]: Taking taylor expansion of im in im 1.258 * [taylor]: Taking taylor expansion of im in im 1.259 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 1.259 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 1.259 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 1.259 * [taylor]: Taking taylor expansion of 1/3 in re 1.259 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 1.259 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.259 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.259 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.259 * [taylor]: Taking taylor expansion of (* re re) in re 1.259 * [taylor]: Taking taylor expansion of re in re 1.259 * [taylor]: Taking taylor expansion of re in re 1.259 * [taylor]: Taking taylor expansion of (* im im) in re 1.259 * [taylor]: Taking taylor expansion of im in re 1.259 * [taylor]: Taking taylor expansion of im in re 1.261 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 1.261 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 1.261 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 1.261 * [taylor]: Taking taylor expansion of 1/3 in re 1.261 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 1.261 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.261 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.261 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.261 * [taylor]: Taking taylor expansion of (* re re) in re 1.261 * [taylor]: Taking taylor expansion of re in re 1.261 * [taylor]: Taking taylor expansion of re in re 1.261 * [taylor]: Taking taylor expansion of (* im im) in re 1.261 * [taylor]: Taking taylor expansion of im in re 1.261 * [taylor]: Taking taylor expansion of im in re 1.262 * [taylor]: Taking taylor expansion of (pow im 1/3) in im 1.262 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log im))) in im 1.262 * [taylor]: Taking taylor expansion of (* 1/3 (log im)) in im 1.262 * [taylor]: Taking taylor expansion of 1/3 in im 1.262 * [taylor]: Taking taylor expansion of (log im) in im 1.262 * [taylor]: Taking taylor expansion of im in im 1.264 * [taylor]: Taking taylor expansion of 0 in im 1.269 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) in im 1.269 * [taylor]: Taking taylor expansion of 1/6 in im 1.269 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im 1.269 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im 1.269 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im 1.269 * [taylor]: Taking taylor expansion of 1/3 in im 1.269 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 1.269 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 1.269 * [taylor]: Taking taylor expansion of (pow im 5) in im 1.269 * [taylor]: Taking taylor expansion of im in im 1.279 * [taylor]: Taking taylor expansion of 0 in im 1.287 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in (re im) around 0 1.287 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in im 1.287 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in im 1.288 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in im 1.288 * [taylor]: Taking taylor expansion of 1/3 in im 1.288 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im 1.288 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.288 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.288 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.288 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.288 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.288 * [taylor]: Taking taylor expansion of re in im 1.288 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.288 * [taylor]: Taking taylor expansion of re in im 1.288 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.288 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.288 * [taylor]: Taking taylor expansion of im in im 1.288 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.288 * [taylor]: Taking taylor expansion of im in im 1.292 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 1.292 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 1.292 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 1.292 * [taylor]: Taking taylor expansion of 1/3 in re 1.292 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 1.292 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.292 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.292 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.292 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.292 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.292 * [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 re in re 1.293 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.293 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.293 * [taylor]: Taking taylor expansion of im in re 1.293 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.293 * [taylor]: Taking taylor expansion of im in re 1.296 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 1.296 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 1.296 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 1.296 * [taylor]: Taking taylor expansion of 1/3 in re 1.296 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 1.296 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.296 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.296 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.296 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.296 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.296 * [taylor]: Taking taylor expansion of re in re 1.296 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.296 * [taylor]: Taking taylor expansion of re in re 1.297 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.297 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.297 * [taylor]: Taking taylor expansion of im in re 1.297 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.297 * [taylor]: Taking taylor expansion of im in re 1.300 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 1.300 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 1.300 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 1.300 * [taylor]: Taking taylor expansion of -1/3 in im 1.300 * [taylor]: Taking taylor expansion of (log re) in im 1.300 * [taylor]: Taking taylor expansion of re in im 1.302 * [taylor]: Taking taylor expansion of 0 in im 1.308 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 1.308 * [taylor]: Taking taylor expansion of 1/6 in im 1.308 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 1.308 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 1.309 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 1.309 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 1.309 * [taylor]: Taking taylor expansion of 1/3 in im 1.309 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 1.309 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.309 * [taylor]: Taking taylor expansion of re in im 1.309 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.309 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.309 * [taylor]: Taking taylor expansion of im in im 1.325 * [taylor]: Taking taylor expansion of 0 in im 1.325 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in (re im) around 0 1.325 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in im 1.325 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in im 1.325 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in im 1.325 * [taylor]: Taking taylor expansion of 1/3 in im 1.325 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im 1.325 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.326 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.326 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.326 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.326 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.326 * [taylor]: Taking taylor expansion of -1 in im 1.326 * [taylor]: Taking taylor expansion of re in im 1.326 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.326 * [taylor]: Taking taylor expansion of -1 in im 1.326 * [taylor]: Taking taylor expansion of re in im 1.326 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.326 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.326 * [taylor]: Taking taylor expansion of -1 in im 1.326 * [taylor]: Taking taylor expansion of im in im 1.326 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.326 * [taylor]: Taking taylor expansion of -1 in im 1.326 * [taylor]: Taking taylor expansion of im in im 1.330 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 1.330 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 1.330 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 1.330 * [taylor]: Taking taylor expansion of 1/3 in re 1.330 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 1.330 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.330 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.330 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.330 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.330 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.330 * [taylor]: Taking taylor expansion of -1 in re 1.330 * [taylor]: Taking taylor expansion of re in re 1.330 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.330 * [taylor]: Taking taylor expansion of -1 in re 1.330 * [taylor]: Taking taylor expansion of re in re 1.330 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.331 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.331 * [taylor]: Taking taylor expansion of -1 in re 1.331 * [taylor]: Taking taylor expansion of im in re 1.331 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.331 * [taylor]: Taking taylor expansion of -1 in re 1.331 * [taylor]: Taking taylor expansion of im in re 1.334 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 1.334 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 1.334 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 1.334 * [taylor]: Taking taylor expansion of 1/3 in re 1.334 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 1.334 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.334 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.334 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.334 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.334 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.334 * [taylor]: Taking taylor expansion of -1 in re 1.334 * [taylor]: Taking taylor expansion of re in re 1.334 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.334 * [taylor]: Taking taylor expansion of -1 in re 1.334 * [taylor]: Taking taylor expansion of re in re 1.335 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.335 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.335 * [taylor]: Taking taylor expansion of -1 in re 1.335 * [taylor]: Taking taylor expansion of im in re 1.335 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.335 * [taylor]: Taking taylor expansion of -1 in re 1.335 * [taylor]: Taking taylor expansion of im in re 1.344 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 1.344 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 1.344 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 1.344 * [taylor]: Taking taylor expansion of -1/3 in im 1.344 * [taylor]: Taking taylor expansion of (log re) in im 1.344 * [taylor]: Taking taylor expansion of re in im 1.346 * [taylor]: Taking taylor expansion of 0 in im 1.353 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 1.353 * [taylor]: Taking taylor expansion of 1/6 in im 1.353 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 1.353 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 1.353 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 1.353 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 1.353 * [taylor]: Taking taylor expansion of 1/3 in im 1.353 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 1.353 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.353 * [taylor]: Taking taylor expansion of re in im 1.353 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.353 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.353 * [taylor]: Taking taylor expansion of im in im 1.370 * [taylor]: Taking taylor expansion of 0 in im 1.370 * * * [progress]: simplifying candidates 1.371 * [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))) (+ re im) (* 2 re) 0 (+ (pow im 1/3) (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3)))) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) (+ (pow im 1/3) (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3)))) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) (+ (pow im 1/3) (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3)))) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) 1.375 * * [simplify]: iteration 0 : 79 enodes (cost 316 ) 1.377 * * [simplify]: iteration 1 : 179 enodes (cost 276 ) 1.381 * * [simplify]: iteration 2 : 648 enodes (cost 268 ) 1.397 * * [simplify]: iteration 3 : 3295 enodes (cost 254 ) 1.498 * * [simplify]: iteration 4 : 5002 enodes (cost 251 ) 1.499 * [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 (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)) (pow (+ re (hypot re im)) 3) (hypot (pow (cbrt (hypot re im)) 3/2) (pow re 1/2)) (hypot (pow (cbrt (hypot re im)) 3/2) (pow re 1/2)) (expm1 (cbrt (hypot re im))) (log1p (cbrt (hypot re im))) (log (cbrt (hypot re im))) (exp (cbrt (hypot re im))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))) 1 (cbrt (hypot re im)) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (hypot re im) (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (expm1 (cbrt (hypot re im))) (log1p (cbrt (hypot re im))) (log (cbrt (hypot re im))) (exp (cbrt (hypot re im))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))) 1 (cbrt (hypot re im)) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (hypot re im) (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (expm1 (cbrt (hypot re im))) (log1p (cbrt (hypot re im))) (log (cbrt (hypot re im))) (exp (cbrt (hypot re im))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))) 1 (cbrt (hypot re im)) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (hypot re im) (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (+ re im) (* 2 re) 0 (fma (* 1/6 (pow re 2)) (pow (/ 1 (pow im 5)) 1/3) (pow im 1/3)) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) (fma (* 1/6 (pow re 2)) (pow (/ 1 (pow im 5)) 1/3) (pow im 1/3)) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) (fma (* 1/6 (pow re 2)) (pow (/ 1 (pow im 5)) 1/3) (pow im 1/3)) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) 1.500 * * * [progress]: adding candidates to table 1.688 * [progress]: [Phase 3 of 3] Extracting. 1.688 * * [regime]: Finding splitpoints for: (# # # # # # # #) 1.690 * * * [regime-changes]: Trying 2 branch expressions: (im re) 1.690 * * * * [regimes]: Trying to branch on im from (# # # # # # # #) 1.750 * * * * [regimes]: Trying to branch on re from (# # # # # # # #) 1.803 * * * [regime]: Found split indices: #