58.922 * [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)))) 0.031 * * [simplify]: iteration 0 : 24 enodes (cost 8 ) 0.032 * * [simplify]: iteration 1 : 30 enodes (cost 8 ) 0.034 * * [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 0.038 * * * * [pick]: Picked # 0.038 * * * [progress]: localizing error 0.048 * * * [progress]: generating rewritten candidates 0.048 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.052 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.067 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 2 1 1) 0.074 * * * [progress]: generating series expansions 0.074 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.075 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.075 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.075 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.075 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.075 * [taylor]: Taking taylor expansion of re in im 0.075 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.075 * [taylor]: Taking taylor expansion of im in im 0.076 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.076 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.076 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.076 * [taylor]: Taking taylor expansion of re in re 0.076 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.076 * [taylor]: Taking taylor expansion of im in re 0.076 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.076 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.076 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.076 * [taylor]: Taking taylor expansion of re in re 0.076 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.076 * [taylor]: Taking taylor expansion of im in re 0.077 * [taylor]: Taking taylor expansion of im in im 0.077 * [taylor]: Taking taylor expansion of 0 in im 0.078 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.078 * [taylor]: Taking taylor expansion of 1/2 in im 0.078 * [taylor]: Taking taylor expansion of im in im 0.080 * [taylor]: Taking taylor expansion of 0 in im 0.081 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.081 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.081 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.081 * [taylor]: Taking taylor expansion of im in im 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.082 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.082 * [taylor]: Taking taylor expansion of re in im 0.084 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.084 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.084 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.084 * [taylor]: Taking taylor expansion of im in re 0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.084 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.084 * [taylor]: Taking taylor expansion of re in re 0.086 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.086 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.086 * [taylor]: Taking taylor expansion of im in re 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.087 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.087 * [taylor]: Taking taylor expansion of re in re 0.089 * [taylor]: Taking taylor expansion of 1 in im 0.089 * [taylor]: Taking taylor expansion of 0 in im 0.091 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.091 * [taylor]: Taking taylor expansion of 1/2 in im 0.091 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.091 * [taylor]: Taking taylor expansion of im in im 0.094 * [taylor]: Taking taylor expansion of 0 in im 0.096 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.096 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.096 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.096 * [taylor]: Taking taylor expansion of im in im 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.096 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.096 * [taylor]: Taking taylor expansion of re in im 0.098 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.098 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.098 * [taylor]: Taking taylor expansion of im in re 0.099 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.099 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.099 * [taylor]: Taking taylor expansion of re in re 0.101 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.101 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.101 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.101 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.101 * [taylor]: Taking taylor expansion of im in re 0.101 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.101 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.101 * [taylor]: Taking taylor expansion of re in re 0.104 * [taylor]: Taking taylor expansion of 1 in im 0.104 * [taylor]: Taking taylor expansion of 0 in im 0.105 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.105 * [taylor]: Taking taylor expansion of 1/2 in im 0.106 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.106 * [taylor]: Taking taylor expansion of im in im 0.109 * [taylor]: Taking taylor expansion of 0 in im 0.110 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 0.110 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 0.110 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.110 * [taylor]: Taking taylor expansion of re in im 0.110 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.110 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.110 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.110 * [taylor]: Taking taylor expansion of re in im 0.110 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.110 * [taylor]: Taking taylor expansion of im in im 0.111 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.111 * [taylor]: Taking taylor expansion of re in re 0.111 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.111 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.111 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.111 * [taylor]: Taking taylor expansion of re in re 0.111 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.111 * [taylor]: Taking taylor expansion of im in re 0.111 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.111 * [taylor]: Taking taylor expansion of re in re 0.111 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.111 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.111 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.111 * [taylor]: Taking taylor expansion of re in re 0.111 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.111 * [taylor]: Taking taylor expansion of im in re 0.112 * [taylor]: Taking taylor expansion of im in im 0.112 * [taylor]: Taking taylor expansion of 1 in im 0.114 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.114 * [taylor]: Taking taylor expansion of 1/2 in im 0.114 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.114 * [taylor]: Taking taylor expansion of im in im 0.116 * [taylor]: Taking taylor expansion of 0 in im 0.117 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.117 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.117 * [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 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.118 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.118 * [taylor]: Taking taylor expansion of re in im 0.120 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.120 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.120 * [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 0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.121 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.121 * [taylor]: Taking taylor expansion of re in re 0.123 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.123 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.123 * [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 0.124 * [taylor]: Taking taylor expansion of im in re 0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.124 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.124 * [taylor]: Taking taylor expansion of re in re 0.126 * [taylor]: Taking taylor expansion of 2 in im 0.127 * [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 0.134 * [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 0.136 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.136 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.136 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.136 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.136 * [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 0.141 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.141 * [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 0.144 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.144 * [taylor]: Taking taylor expansion of re in re 0.144 * [taylor]: Taking taylor expansion of 0 in im 0.145 * [taylor]: Taking taylor expansion of 0 in im 0.148 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.148 * [taylor]: Taking taylor expansion of 1/2 in im 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.148 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.148 * [taylor]: Taking taylor expansion of im in im 0.152 * [taylor]: Taking taylor expansion of 0 in im 0.154 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 2 1 1) 0.154 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.154 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.154 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.154 * [taylor]: Taking taylor expansion of re in im 0.154 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.154 * [taylor]: Taking taylor expansion of im in im 0.154 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.154 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.154 * [taylor]: Taking taylor expansion of re in re 0.154 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.154 * [taylor]: Taking taylor expansion of im in re 0.154 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.154 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.154 * [taylor]: Taking taylor expansion of re in re 0.154 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.154 * [taylor]: Taking taylor expansion of im in re 0.154 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.154 * [taylor]: Taking taylor expansion of im in im 0.155 * [taylor]: Taking taylor expansion of 0 in im 0.156 * [taylor]: Taking taylor expansion of 1 in im 0.162 * [taylor]: Taking taylor expansion of 0 in im 0.164 * [taylor]: Taking taylor expansion of 0 in im 0.165 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.165 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.165 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.165 * [taylor]: Taking taylor expansion of im in im 0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.165 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.165 * [taylor]: Taking taylor expansion of re in im 0.165 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.165 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.165 * [taylor]: Taking taylor expansion of im in re 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.166 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.166 * [taylor]: Taking taylor expansion of re in re 0.166 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.166 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.166 * [taylor]: Taking taylor expansion of im in re 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.166 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.166 * [taylor]: Taking taylor expansion of re in re 0.167 * [taylor]: Taking taylor expansion of 1 in im 0.168 * [taylor]: Taking taylor expansion of 0 in im 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.169 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.169 * [taylor]: Taking taylor expansion of im in im 0.171 * [taylor]: Taking taylor expansion of 0 in im 0.174 * [taylor]: Taking taylor expansion of 0 in im 0.176 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.176 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.176 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.176 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.176 * [taylor]: Taking taylor expansion of im in im 0.176 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.176 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.176 * [taylor]: Taking taylor expansion of re in im 0.176 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.176 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.176 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.176 * [taylor]: Taking taylor expansion of im in re 0.176 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.176 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.176 * [taylor]: Taking taylor expansion of re in re 0.177 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.177 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.177 * [taylor]: Taking taylor expansion of im in re 0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.177 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.177 * [taylor]: Taking taylor expansion of re in re 0.178 * [taylor]: Taking taylor expansion of 1 in im 0.179 * [taylor]: Taking taylor expansion of 0 in im 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.180 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.180 * [taylor]: Taking taylor expansion of im in im 0.182 * [taylor]: Taking taylor expansion of 0 in im 0.185 * [taylor]: Taking taylor expansion of 0 in im 0.186 * * * [progress]: simplifying candidates 0.187 * [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)) 0.191 * * [simplify]: iteration 0 : 194 enodes (cost 279 ) 0.195 * * [simplify]: iteration 1 : 769 enodes (cost 246 ) 0.206 * * [simplify]: iteration 2 : 2332 enodes (cost 233 ) 0.250 * * [simplify]: iteration 3 : 5002 enodes (cost 230 ) 0.252 * [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)) 0.252 * * * [progress]: adding candidates to table 0.426 * * [progress]: iteration 2 / 4 0.426 * * * [progress]: picking best candidate 0.443 * * * * [pick]: Picked # 0.443 * * * [progress]: localizing error 0.451 * * * [progress]: generating rewritten candidates 0.451 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2 1 2) 0.454 * * * [progress]: generating series expansions 0.454 * * * * [progress]: [ 1 / 1 ] generating series at (2 2 1 2) 0.454 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 0.455 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.455 * [taylor]: Taking taylor expansion of re in im 0.455 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.455 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.455 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.455 * [taylor]: Taking taylor expansion of (* re re) in im 0.455 * [taylor]: Taking taylor expansion of re in im 0.455 * [taylor]: Taking taylor expansion of re in im 0.455 * [taylor]: Taking taylor expansion of (* im im) in im 0.455 * [taylor]: Taking taylor expansion of im in im 0.455 * [taylor]: Taking taylor expansion of im in im 0.456 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.456 * [taylor]: Taking taylor expansion of re in re 0.456 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.456 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.456 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.456 * [taylor]: Taking taylor expansion of (* re re) in re 0.456 * [taylor]: Taking taylor expansion of re in re 0.456 * [taylor]: Taking taylor expansion of re in re 0.456 * [taylor]: Taking taylor expansion of (* im im) in re 0.456 * [taylor]: Taking taylor expansion of im in re 0.456 * [taylor]: Taking taylor expansion of im in re 0.457 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.457 * [taylor]: Taking taylor expansion of re in re 0.457 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.458 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.458 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.458 * [taylor]: Taking taylor expansion of (* re re) in re 0.458 * [taylor]: Taking taylor expansion of re in re 0.458 * [taylor]: Taking taylor expansion of re in re 0.458 * [taylor]: Taking taylor expansion of (* im im) in re 0.458 * [taylor]: Taking taylor expansion of im in re 0.458 * [taylor]: Taking taylor expansion of im in re 0.459 * [taylor]: Taking taylor expansion of im in im 0.459 * [taylor]: Taking taylor expansion of 1 in im 0.461 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.461 * [taylor]: Taking taylor expansion of 1/2 in im 0.461 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.461 * [taylor]: Taking taylor expansion of im in im 0.463 * [taylor]: Taking taylor expansion of 0 in im 0.464 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 0.464 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 0.464 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.465 * [taylor]: Taking taylor expansion of re in im 0.465 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.465 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.465 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.465 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.465 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.465 * [taylor]: Taking taylor expansion of re in im 0.465 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.465 * [taylor]: Taking taylor expansion of re in im 0.465 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.465 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.465 * [taylor]: Taking taylor expansion of im in im 0.465 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.465 * [taylor]: Taking taylor expansion of im in im 0.468 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.468 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.468 * [taylor]: Taking taylor expansion of re in re 0.468 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.468 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.468 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.468 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.468 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.468 * [taylor]: Taking taylor expansion of re in re 0.469 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.469 * [taylor]: Taking taylor expansion of re in re 0.469 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.469 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.469 * [taylor]: Taking taylor expansion of im in re 0.469 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.469 * [taylor]: Taking taylor expansion of im in re 0.472 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.472 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.472 * [taylor]: Taking taylor expansion of re in re 0.472 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.472 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.472 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.472 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.472 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.472 * [taylor]: Taking taylor expansion of re in re 0.472 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.472 * [taylor]: Taking taylor expansion of re in re 0.473 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.473 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.473 * [taylor]: Taking taylor expansion of im in re 0.473 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.473 * [taylor]: Taking taylor expansion of im in re 0.476 * [taylor]: Taking taylor expansion of 2 in im 0.476 * [taylor]: Taking taylor expansion of 0 in im 0.479 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.479 * [taylor]: Taking taylor expansion of 1/2 in im 0.479 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.479 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.479 * [taylor]: Taking taylor expansion of im in im 0.488 * [taylor]: Taking taylor expansion of 0 in im 0.490 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 0.490 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.490 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.490 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.490 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.490 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.490 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.490 * [taylor]: Taking taylor expansion of -1 in im 0.490 * [taylor]: Taking taylor expansion of re in im 0.490 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.490 * [taylor]: Taking taylor expansion of -1 in im 0.490 * [taylor]: Taking taylor expansion of re in im 0.490 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.490 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.490 * [taylor]: Taking taylor expansion of -1 in im 0.490 * [taylor]: Taking taylor expansion of im in im 0.491 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.491 * [taylor]: Taking taylor expansion of -1 in im 0.491 * [taylor]: Taking taylor expansion of im in im 0.494 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.494 * [taylor]: Taking taylor expansion of re in im 0.494 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.494 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.494 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.494 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.494 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.494 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.494 * [taylor]: Taking taylor expansion of -1 in re 0.494 * [taylor]: Taking taylor expansion of re in re 0.494 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.494 * [taylor]: Taking taylor expansion of -1 in re 0.494 * [taylor]: Taking taylor expansion of re in re 0.494 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.495 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.495 * [taylor]: Taking taylor expansion of -1 in re 0.495 * [taylor]: Taking taylor expansion of im in re 0.495 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.495 * [taylor]: Taking taylor expansion of -1 in re 0.495 * [taylor]: Taking taylor expansion of im in re 0.497 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.497 * [taylor]: Taking taylor expansion of re in re 0.497 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.497 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.498 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.498 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.498 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.498 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.498 * [taylor]: Taking taylor expansion of -1 in re 0.498 * [taylor]: Taking taylor expansion of re in re 0.498 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.498 * [taylor]: Taking taylor expansion of -1 in re 0.498 * [taylor]: Taking taylor expansion of re in re 0.498 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.498 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.498 * [taylor]: Taking taylor expansion of -1 in re 0.498 * [taylor]: Taking taylor expansion of im in re 0.498 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.498 * [taylor]: Taking taylor expansion of -1 in re 0.498 * [taylor]: Taking taylor expansion of im in re 0.501 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.501 * [taylor]: Taking taylor expansion of re in re 0.502 * [taylor]: Taking taylor expansion of 0 in im 0.503 * [taylor]: Taking taylor expansion of 0 in im 0.506 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.506 * [taylor]: Taking taylor expansion of 1/2 in im 0.506 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.506 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.506 * [taylor]: Taking taylor expansion of im in im 0.511 * [taylor]: Taking taylor expansion of 0 in im 0.513 * * * [progress]: simplifying candidates 0.513 * [simplify]: Simplifying using # : (expm1 (+ (* 1 (hypot re im)) re)) (log1p (+ (* 1 (hypot re im)) re)) (* (exp (* 1 (hypot re im))) (exp re)) (log (+ (* 1 (hypot re im)) re)) (exp (+ (* 1 (hypot re im)) re)) (* (cbrt (+ (* 1 (hypot re im)) re)) (cbrt (+ (* 1 (hypot re im)) re))) (cbrt (+ (* 1 (hypot re im)) re)) (* (* (+ (* 1 (hypot re im)) re) (+ (* 1 (hypot re im)) re)) (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)) (+ (pow (* 1 (hypot re im)) 3) (pow re 3)) (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (- (* re re) (* (* 1 (hypot re im)) re))) (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re)) (- (* 1 (hypot re im)) re) (+ (hypot re im) re) (+ re im) (* 2 re) 0 0.516 * * [simplify]: iteration 0 : 96 enodes (cost 77 ) 0.518 * * [simplify]: iteration 1 : 240 enodes (cost 67 ) 0.524 * * [simplify]: iteration 2 : 714 enodes (cost 66 ) 0.535 * * [simplify]: iteration 3 : 2180 enodes (cost 63 ) 0.570 * * [simplify]: iteration 4 : 5001 enodes (cost 62 ) 0.571 * [simplify]: Simplified to: (expm1 (+ (* 1 (hypot re im)) re)) (log1p (+ (* 1 (hypot re im)) re)) (pow E (fma 1 (hypot re im) re)) (log (+ (* 1 (hypot re im)) re)) (pow E (fma 1 (hypot re im) re)) (* (cbrt (+ (* 1 (hypot re im)) re)) (cbrt (+ (* 1 (hypot re im)) re))) (cbrt (+ (* 1 (hypot re im)) re)) (pow (fma 1 (hypot re im) re) 3) (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)) (fma (* re re) re (pow (hypot re im) 3)) (fma (- (hypot re im) re) (hypot re im) (* re re)) (fma (- re) re (* (hypot re im) (hypot re im))) (- (hypot re im) re) (fma 1 (hypot re im) re) (+ re im) (* 2 re) 0 0.571 * * * [progress]: adding candidates to table 0.624 * * [progress]: iteration 3 / 4 0.625 * * * [progress]: picking best candidate 0.632 * * * * [pick]: Picked # 0.632 * * * [progress]: localizing error 0.644 * * * [progress]: generating rewritten candidates 0.644 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1) 0.647 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 2 1) 0.650 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1) 0.653 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2) 0.657 * * * [progress]: generating series expansions 0.657 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1) 0.657 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 0.657 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.657 * [taylor]: Taking taylor expansion of re in im 0.657 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.657 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.657 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.657 * [taylor]: Taking taylor expansion of (* re re) in im 0.657 * [taylor]: Taking taylor expansion of re in im 0.657 * [taylor]: Taking taylor expansion of re in im 0.657 * [taylor]: Taking taylor expansion of (* im im) in im 0.657 * [taylor]: Taking taylor expansion of im in im 0.657 * [taylor]: Taking taylor expansion of im in im 0.658 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.659 * [taylor]: Taking taylor expansion of re in re 0.659 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.659 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.659 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.659 * [taylor]: Taking taylor expansion of (* re re) in re 0.659 * [taylor]: Taking taylor expansion of re in re 0.659 * [taylor]: Taking taylor expansion of re in re 0.659 * [taylor]: Taking taylor expansion of (* im im) in re 0.659 * [taylor]: Taking taylor expansion of im in re 0.659 * [taylor]: Taking taylor expansion of im in re 0.660 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.660 * [taylor]: Taking taylor expansion of re in re 0.660 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.660 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.660 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.660 * [taylor]: Taking taylor expansion of (* re re) in re 0.660 * [taylor]: Taking taylor expansion of re in re 0.660 * [taylor]: Taking taylor expansion of re in re 0.660 * [taylor]: Taking taylor expansion of (* im im) in re 0.660 * [taylor]: Taking taylor expansion of im in re 0.660 * [taylor]: Taking taylor expansion of im in re 0.661 * [taylor]: Taking taylor expansion of im in im 0.662 * [taylor]: Taking taylor expansion of 1 in im 0.663 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.663 * [taylor]: Taking taylor expansion of 1/2 in im 0.663 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.663 * [taylor]: Taking taylor expansion of im in im 0.666 * [taylor]: Taking taylor expansion of 0 in im 0.667 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 0.667 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 0.667 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.667 * [taylor]: Taking taylor expansion of re in im 0.667 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.667 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.667 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.667 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.667 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.667 * [taylor]: Taking taylor expansion of re in im 0.667 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.667 * [taylor]: Taking taylor expansion of re in im 0.667 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.667 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.667 * [taylor]: Taking taylor expansion of im in im 0.668 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.668 * [taylor]: Taking taylor expansion of im in im 0.670 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.670 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.671 * [taylor]: Taking taylor expansion of re in re 0.671 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.671 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.671 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.671 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.671 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.671 * [taylor]: Taking taylor expansion of re in re 0.671 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.671 * [taylor]: Taking taylor expansion of re in re 0.672 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.672 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.672 * [taylor]: Taking taylor expansion of im in re 0.672 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.672 * [taylor]: Taking taylor expansion of im in re 0.674 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.674 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.674 * [taylor]: Taking taylor expansion of re in re 0.675 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.675 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.675 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.675 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.675 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.675 * [taylor]: Taking taylor expansion of re in re 0.675 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.675 * [taylor]: Taking taylor expansion of re in re 0.675 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.675 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.675 * [taylor]: Taking taylor expansion of im in re 0.675 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.675 * [taylor]: Taking taylor expansion of im in re 0.678 * [taylor]: Taking taylor expansion of 2 in im 0.679 * [taylor]: Taking taylor expansion of 0 in im 0.686 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.686 * [taylor]: Taking taylor expansion of 1/2 in im 0.686 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.687 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.687 * [taylor]: Taking taylor expansion of im in im 0.691 * [taylor]: Taking taylor expansion of 0 in im 0.693 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 0.693 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.693 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.693 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.693 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.693 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.693 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.693 * [taylor]: Taking taylor expansion of -1 in im 0.693 * [taylor]: Taking taylor expansion of re in im 0.693 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.693 * [taylor]: Taking taylor expansion of -1 in im 0.693 * [taylor]: Taking taylor expansion of re in im 0.693 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.693 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.693 * [taylor]: Taking taylor expansion of -1 in im 0.693 * [taylor]: Taking taylor expansion of im in im 0.694 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.694 * [taylor]: Taking taylor expansion of -1 in im 0.694 * [taylor]: Taking taylor expansion of im in im 0.697 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.697 * [taylor]: Taking taylor expansion of re in im 0.697 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.697 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.697 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.697 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.697 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.697 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.697 * [taylor]: Taking taylor expansion of -1 in re 0.697 * [taylor]: Taking taylor expansion of re in re 0.697 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.697 * [taylor]: Taking taylor expansion of -1 in re 0.697 * [taylor]: Taking taylor expansion of re in re 0.697 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.697 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.697 * [taylor]: Taking taylor expansion of -1 in re 0.698 * [taylor]: Taking taylor expansion of im in re 0.698 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.698 * [taylor]: Taking taylor expansion of -1 in re 0.698 * [taylor]: Taking taylor expansion of im in re 0.700 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.700 * [taylor]: Taking taylor expansion of re in re 0.700 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.701 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.701 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.701 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.701 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.701 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.701 * [taylor]: Taking taylor expansion of -1 in re 0.701 * [taylor]: Taking taylor expansion of re in re 0.701 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.701 * [taylor]: Taking taylor expansion of -1 in re 0.701 * [taylor]: Taking taylor expansion of re in re 0.701 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.701 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.701 * [taylor]: Taking taylor expansion of -1 in re 0.701 * [taylor]: Taking taylor expansion of im in re 0.701 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.701 * [taylor]: Taking taylor expansion of -1 in re 0.701 * [taylor]: Taking taylor expansion of im in re 0.704 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.704 * [taylor]: Taking taylor expansion of re in re 0.705 * [taylor]: Taking taylor expansion of 0 in im 0.706 * [taylor]: Taking taylor expansion of 0 in im 0.709 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.709 * [taylor]: Taking taylor expansion of 1/2 in im 0.709 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.709 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.709 * [taylor]: Taking taylor expansion of im in im 0.714 * [taylor]: Taking taylor expansion of 0 in im 0.716 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 2 1) 0.716 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 0.716 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.716 * [taylor]: Taking taylor expansion of re in im 0.716 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.716 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.716 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.716 * [taylor]: Taking taylor expansion of (* re re) in im 0.716 * [taylor]: Taking taylor expansion of re in im 0.716 * [taylor]: Taking taylor expansion of re in im 0.716 * [taylor]: Taking taylor expansion of (* im im) in im 0.716 * [taylor]: Taking taylor expansion of im in im 0.716 * [taylor]: Taking taylor expansion of im in im 0.717 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.717 * [taylor]: Taking taylor expansion of re in re 0.717 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.717 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.717 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.717 * [taylor]: Taking taylor expansion of (* re re) in re 0.717 * [taylor]: Taking taylor expansion of re in re 0.717 * [taylor]: Taking taylor expansion of re in re 0.717 * [taylor]: Taking taylor expansion of (* im im) in re 0.717 * [taylor]: Taking taylor expansion of im in re 0.717 * [taylor]: Taking taylor expansion of im in re 0.719 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.719 * [taylor]: Taking taylor expansion of re in re 0.719 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.719 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.719 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.719 * [taylor]: Taking taylor expansion of (* re re) in re 0.719 * [taylor]: Taking taylor expansion of re in re 0.719 * [taylor]: Taking taylor expansion of re in re 0.719 * [taylor]: Taking taylor expansion of (* im im) in re 0.719 * [taylor]: Taking taylor expansion of im in re 0.719 * [taylor]: Taking taylor expansion of im in re 0.720 * [taylor]: Taking taylor expansion of im in im 0.720 * [taylor]: Taking taylor expansion of 1 in im 0.722 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.722 * [taylor]: Taking taylor expansion of 1/2 in im 0.722 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.722 * [taylor]: Taking taylor expansion of im in im 0.724 * [taylor]: Taking taylor expansion of 0 in im 0.726 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 0.726 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 0.726 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.726 * [taylor]: Taking taylor expansion of re in im 0.726 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.726 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.726 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.726 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.726 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.726 * [taylor]: Taking taylor expansion of re in im 0.726 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.726 * [taylor]: Taking taylor expansion of re in im 0.726 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.726 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.726 * [taylor]: Taking taylor expansion of im in im 0.726 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.726 * [taylor]: Taking taylor expansion of im in im 0.729 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.729 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.729 * [taylor]: Taking taylor expansion of re in re 0.729 * [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 re in re 0.730 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.730 * [taylor]: Taking taylor expansion of re in re 0.730 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.730 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.730 * [taylor]: Taking taylor expansion of im in re 0.730 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.730 * [taylor]: Taking taylor expansion of im in re 0.733 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.733 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.733 * [taylor]: Taking taylor expansion of re in re 0.733 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.733 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.733 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.733 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.733 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.733 * [taylor]: Taking taylor expansion of re in re 0.734 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.734 * [taylor]: Taking taylor expansion of re in re 0.734 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.734 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.734 * [taylor]: Taking taylor expansion of im in re 0.734 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.734 * [taylor]: Taking taylor expansion of im in re 0.737 * [taylor]: Taking taylor expansion of 2 in im 0.738 * [taylor]: Taking taylor expansion of 0 in im 0.741 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.741 * [taylor]: Taking taylor expansion of 1/2 in im 0.741 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.741 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.741 * [taylor]: Taking taylor expansion of im in im 0.746 * [taylor]: Taking taylor expansion of 0 in im 0.747 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 0.748 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.748 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.748 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.748 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.748 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.748 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.748 * [taylor]: Taking taylor expansion of -1 in im 0.748 * [taylor]: Taking taylor expansion of re in im 0.748 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.748 * [taylor]: Taking taylor expansion of -1 in im 0.748 * [taylor]: Taking taylor expansion of re in im 0.748 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.748 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.748 * [taylor]: Taking taylor expansion of -1 in im 0.748 * [taylor]: Taking taylor expansion of im in im 0.748 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.748 * [taylor]: Taking taylor expansion of -1 in im 0.748 * [taylor]: Taking taylor expansion of im in im 0.751 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.751 * [taylor]: Taking taylor expansion of re in im 0.751 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.751 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.751 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.751 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.751 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.751 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.751 * [taylor]: Taking taylor expansion of -1 in re 0.751 * [taylor]: Taking taylor expansion of re in re 0.752 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.752 * [taylor]: Taking taylor expansion of -1 in re 0.752 * [taylor]: Taking taylor expansion of re in re 0.752 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.752 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.752 * [taylor]: Taking taylor expansion of -1 in re 0.752 * [taylor]: Taking taylor expansion of im in re 0.752 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.752 * [taylor]: Taking taylor expansion of -1 in re 0.752 * [taylor]: Taking taylor expansion of im in re 0.755 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.755 * [taylor]: Taking taylor expansion of re in re 0.755 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.755 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.755 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.755 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.755 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.755 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.755 * [taylor]: Taking taylor expansion of -1 in re 0.755 * [taylor]: Taking taylor expansion of re in re 0.755 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.755 * [taylor]: Taking taylor expansion of -1 in re 0.756 * [taylor]: Taking taylor expansion of re in re 0.756 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.756 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.756 * [taylor]: Taking taylor expansion of -1 in re 0.756 * [taylor]: Taking taylor expansion of im in re 0.756 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.756 * [taylor]: Taking taylor expansion of -1 in re 0.756 * [taylor]: Taking taylor expansion of im in re 0.759 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.759 * [taylor]: Taking taylor expansion of re in re 0.759 * [taylor]: Taking taylor expansion of 0 in im 0.760 * [taylor]: Taking taylor expansion of 0 in im 0.764 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.764 * [taylor]: Taking taylor expansion of 1/2 in im 0.764 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.764 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.764 * [taylor]: Taking taylor expansion of im in im 0.774 * [taylor]: Taking taylor expansion of 0 in im 0.776 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1) 0.776 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 0.776 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.776 * [taylor]: Taking taylor expansion of re in im 0.776 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.776 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.776 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.776 * [taylor]: Taking taylor expansion of (* re re) in im 0.776 * [taylor]: Taking taylor expansion of re in im 0.776 * [taylor]: Taking taylor expansion of re in im 0.776 * [taylor]: Taking taylor expansion of (* im im) in im 0.776 * [taylor]: Taking taylor expansion of im in im 0.776 * [taylor]: Taking taylor expansion of im in im 0.777 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.777 * [taylor]: Taking taylor expansion of re in re 0.777 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.777 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.777 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.777 * [taylor]: Taking taylor expansion of (* re re) in re 0.777 * [taylor]: Taking taylor expansion of re in re 0.777 * [taylor]: Taking taylor expansion of re in re 0.777 * [taylor]: Taking taylor expansion of (* im im) in re 0.777 * [taylor]: Taking taylor expansion of im in re 0.777 * [taylor]: Taking taylor expansion of im in re 0.779 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.779 * [taylor]: Taking taylor expansion of re in re 0.779 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.779 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.779 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.779 * [taylor]: Taking taylor expansion of (* re re) in re 0.779 * [taylor]: Taking taylor expansion of re in re 0.779 * [taylor]: Taking taylor expansion of re in re 0.779 * [taylor]: Taking taylor expansion of (* im im) in re 0.779 * [taylor]: Taking taylor expansion of im in re 0.779 * [taylor]: Taking taylor expansion of im in re 0.780 * [taylor]: Taking taylor expansion of im in im 0.780 * [taylor]: Taking taylor expansion of 1 in im 0.782 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.782 * [taylor]: Taking taylor expansion of 1/2 in im 0.782 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.782 * [taylor]: Taking taylor expansion of im in im 0.784 * [taylor]: Taking taylor expansion of 0 in im 0.786 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 0.786 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 0.786 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.786 * [taylor]: Taking taylor expansion of re in im 0.786 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.786 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.786 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.786 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.786 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.786 * [taylor]: Taking taylor expansion of re in im 0.786 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.786 * [taylor]: Taking taylor expansion of re in im 0.786 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.786 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.786 * [taylor]: Taking taylor expansion of im in im 0.786 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.786 * [taylor]: Taking taylor expansion of im in im 0.789 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.789 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.789 * [taylor]: Taking taylor expansion of re in re 0.789 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.789 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.789 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.789 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.789 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.790 * [taylor]: Taking taylor expansion of re in re 0.790 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.790 * [taylor]: Taking taylor expansion of re in re 0.790 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.790 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.790 * [taylor]: Taking taylor expansion of im in re 0.790 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.790 * [taylor]: Taking taylor expansion of im in re 0.793 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.793 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.793 * [taylor]: Taking taylor expansion of re in re 0.793 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.793 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.794 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.794 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.794 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.794 * [taylor]: Taking taylor expansion of re in re 0.794 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.794 * [taylor]: Taking taylor expansion of re in re 0.794 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.794 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.794 * [taylor]: Taking taylor expansion of im in re 0.794 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.794 * [taylor]: Taking taylor expansion of im in re 0.797 * [taylor]: Taking taylor expansion of 2 in im 0.798 * [taylor]: Taking taylor expansion of 0 in im 0.801 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.801 * [taylor]: Taking taylor expansion of 1/2 in im 0.801 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.801 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.801 * [taylor]: Taking taylor expansion of im in im 0.805 * [taylor]: Taking taylor expansion of 0 in im 0.807 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 0.807 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.807 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.807 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.807 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.807 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.807 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.807 * [taylor]: Taking taylor expansion of -1 in im 0.807 * [taylor]: Taking taylor expansion of re in im 0.807 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.807 * [taylor]: Taking taylor expansion of -1 in im 0.807 * [taylor]: Taking taylor expansion of re in im 0.808 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.808 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.808 * [taylor]: Taking taylor expansion of -1 in im 0.808 * [taylor]: Taking taylor expansion of im in im 0.808 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.808 * [taylor]: Taking taylor expansion of -1 in im 0.808 * [taylor]: Taking taylor expansion of im in im 0.811 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.811 * [taylor]: Taking taylor expansion of re in im 0.811 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.811 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.811 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.811 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.811 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.811 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.811 * [taylor]: Taking taylor expansion of -1 in re 0.811 * [taylor]: Taking taylor expansion of re in re 0.811 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.811 * [taylor]: Taking taylor expansion of -1 in re 0.811 * [taylor]: Taking taylor expansion of re in re 0.812 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.812 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.812 * [taylor]: Taking taylor expansion of -1 in re 0.812 * [taylor]: Taking taylor expansion of im in re 0.812 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.812 * [taylor]: Taking taylor expansion of -1 in re 0.812 * [taylor]: Taking taylor expansion of im in re 0.814 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.814 * [taylor]: Taking taylor expansion of re in re 0.815 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.815 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.815 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.815 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.815 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.815 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.815 * [taylor]: Taking taylor expansion of -1 in re 0.815 * [taylor]: Taking taylor expansion of re in re 0.815 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.815 * [taylor]: Taking taylor expansion of -1 in re 0.815 * [taylor]: Taking taylor expansion of re in re 0.815 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.815 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.815 * [taylor]: Taking taylor expansion of -1 in re 0.816 * [taylor]: Taking taylor expansion of im in re 0.816 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.816 * [taylor]: Taking taylor expansion of -1 in re 0.816 * [taylor]: Taking taylor expansion of im in re 0.818 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.818 * [taylor]: Taking taylor expansion of re in re 0.819 * [taylor]: Taking taylor expansion of 0 in im 0.820 * [taylor]: Taking taylor expansion of 0 in im 0.823 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.823 * [taylor]: Taking taylor expansion of 1/2 in im 0.823 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.823 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.823 * [taylor]: Taking taylor expansion of im in im 0.828 * [taylor]: Taking taylor expansion of 0 in im 0.830 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2) 0.830 * [approximate]: Taking taylor expansion of (pow (+ re (hypot re im)) 1/3) in (re im) around 0 0.830 * [taylor]: Taking taylor expansion of (pow (+ re (hypot re im)) 1/3) in im 0.830 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ re (hypot re im))))) in im 0.830 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ re (hypot re im)))) in im 0.830 * [taylor]: Taking taylor expansion of 1/3 in im 0.830 * [taylor]: Taking taylor expansion of (log (+ re (hypot re im))) in im 0.830 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.830 * [taylor]: Taking taylor expansion of re in im 0.830 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.830 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.830 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.830 * [taylor]: Taking taylor expansion of (* re re) in im 0.830 * [taylor]: Taking taylor expansion of re in im 0.830 * [taylor]: Taking taylor expansion of re in im 0.830 * [taylor]: Taking taylor expansion of (* im im) in im 0.830 * [taylor]: Taking taylor expansion of im in im 0.830 * [taylor]: Taking taylor expansion of im in im 0.832 * [taylor]: Taking taylor expansion of (pow (+ re (hypot re im)) 1/3) in re 0.832 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ re (hypot re im))))) in re 0.832 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ re (hypot re im)))) in re 0.832 * [taylor]: Taking taylor expansion of 1/3 in re 0.832 * [taylor]: Taking taylor expansion of (log (+ re (hypot re im))) in re 0.832 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.832 * [taylor]: Taking taylor expansion of re in re 0.832 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.832 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.832 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.832 * [taylor]: Taking taylor expansion of (* re re) in re 0.832 * [taylor]: Taking taylor expansion of re in re 0.832 * [taylor]: Taking taylor expansion of re in re 0.832 * [taylor]: Taking taylor expansion of (* im im) in re 0.832 * [taylor]: Taking taylor expansion of im in re 0.832 * [taylor]: Taking taylor expansion of im in re 0.833 * [taylor]: Taking taylor expansion of (pow (+ re (hypot re im)) 1/3) in re 0.833 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ re (hypot re im))))) in re 0.833 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ re (hypot re im)))) in re 0.833 * [taylor]: Taking taylor expansion of 1/3 in re 0.833 * [taylor]: Taking taylor expansion of (log (+ re (hypot re im))) in re 0.833 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.833 * [taylor]: Taking taylor expansion of re in re 0.833 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.834 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.834 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.834 * [taylor]: Taking taylor expansion of (* re re) in re 0.834 * [taylor]: Taking taylor expansion of re in re 0.834 * [taylor]: Taking taylor expansion of re in re 0.834 * [taylor]: Taking taylor expansion of (* im im) in re 0.834 * [taylor]: Taking taylor expansion of im in re 0.834 * [taylor]: Taking taylor expansion of im in re 0.835 * [taylor]: Taking taylor expansion of (pow im 1/3) in im 0.835 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log im))) in im 0.835 * [taylor]: Taking taylor expansion of (* 1/3 (log im)) in im 0.835 * [taylor]: Taking taylor expansion of 1/3 in im 0.835 * [taylor]: Taking taylor expansion of (log im) in im 0.835 * [taylor]: Taking taylor expansion of im in im 0.837 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow im 2)) 1/3)) in im 0.837 * [taylor]: Taking taylor expansion of 1/3 in im 0.837 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 2)) 1/3) in im 0.837 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 2))))) in im 0.837 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 2)))) in im 0.837 * [taylor]: Taking taylor expansion of 1/3 in im 0.837 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 2))) in im 0.837 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.837 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.837 * [taylor]: Taking taylor expansion of im in im 0.843 * [taylor]: Taking taylor expansion of (* 1/18 (pow (/ 1 (pow im 5)) 1/3)) in im 0.843 * [taylor]: Taking taylor expansion of 1/18 in im 0.843 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im 0.843 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im 0.843 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im 0.843 * [taylor]: Taking taylor expansion of 1/3 in im 0.843 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 0.843 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 0.843 * [taylor]: Taking taylor expansion of (pow im 5) in im 0.843 * [taylor]: Taking taylor expansion of im in im 0.846 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/3) in (re im) around 0 0.846 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/3) in im 0.846 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))))) in im 0.846 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in im 0.846 * [taylor]: Taking taylor expansion of 1/3 in im 0.846 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 0.846 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 0.846 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.846 * [taylor]: Taking taylor expansion of re in im 0.846 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.846 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.846 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.846 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.846 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.846 * [taylor]: Taking taylor expansion of re in im 0.846 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.846 * [taylor]: Taking taylor expansion of re in im 0.846 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.846 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.847 * [taylor]: Taking taylor expansion of im in im 0.847 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.847 * [taylor]: Taking taylor expansion of im in im 0.850 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/3) in re 0.850 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))))) in re 0.850 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re 0.850 * [taylor]: Taking taylor expansion of 1/3 in re 0.850 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 0.850 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.850 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.850 * [taylor]: Taking taylor expansion of re in re 0.851 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.851 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.851 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.851 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.851 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.851 * [taylor]: Taking taylor expansion of re in re 0.851 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.851 * [taylor]: Taking taylor expansion of re in re 0.851 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.851 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.851 * [taylor]: Taking taylor expansion of im in re 0.852 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.852 * [taylor]: Taking taylor expansion of im in re 0.856 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/3) in re 0.856 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))))) in re 0.856 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re 0.856 * [taylor]: Taking taylor expansion of 1/3 in re 0.856 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 0.856 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.856 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.856 * [taylor]: Taking taylor expansion of re in re 0.856 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.856 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.856 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.856 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.856 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.856 * [taylor]: Taking taylor expansion of re in re 0.856 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.856 * [taylor]: Taking taylor expansion of re in re 0.857 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.857 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.857 * [taylor]: Taking taylor expansion of im in re 0.857 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.857 * [taylor]: Taking taylor expansion of im in re 0.866 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log 2) (log re)))) in im 0.866 * [taylor]: Taking taylor expansion of (* 1/3 (- (log 2) (log re))) in im 0.866 * [taylor]: Taking taylor expansion of 1/3 in im 0.866 * [taylor]: Taking taylor expansion of (- (log 2) (log re)) in im 0.866 * [taylor]: Taking taylor expansion of (log 2) in im 0.866 * [taylor]: Taking taylor expansion of 2 in im 0.866 * [taylor]: Taking taylor expansion of (log re) in im 0.867 * [taylor]: Taking taylor expansion of re in im 0.871 * [taylor]: Taking taylor expansion of 0 in im 0.880 * [taylor]: Taking taylor expansion of (* 1/12 (/ (exp (* 1/3 (- (log 2) (log re)))) (pow im 2))) in im 0.880 * [taylor]: Taking taylor expansion of 1/12 in im 0.880 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log 2) (log re)))) (pow im 2)) in im 0.880 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log 2) (log re)))) in im 0.880 * [taylor]: Taking taylor expansion of (* 1/3 (- (log 2) (log re))) in im 0.880 * [taylor]: Taking taylor expansion of 1/3 in im 0.880 * [taylor]: Taking taylor expansion of (- (log 2) (log re)) in im 0.880 * [taylor]: Taking taylor expansion of (log 2) in im 0.880 * [taylor]: Taking taylor expansion of 2 in im 0.880 * [taylor]: Taking taylor expansion of (log re) in im 0.880 * [taylor]: Taking taylor expansion of re in im 0.881 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.881 * [taylor]: Taking taylor expansion of im in im 0.906 * [taylor]: Taking taylor expansion of 0 in im 0.906 * [approximate]: Taking taylor expansion of (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/3) in (re im) around 0 0.906 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/3) in im 0.906 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in im 0.906 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 0.906 * [taylor]: Taking taylor expansion of 1/3 in im 0.906 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 0.907 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.907 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.907 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.907 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.907 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.907 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.907 * [taylor]: Taking taylor expansion of -1 in im 0.907 * [taylor]: Taking taylor expansion of re in im 0.907 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.907 * [taylor]: Taking taylor expansion of -1 in im 0.907 * [taylor]: Taking taylor expansion of re in im 0.907 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.907 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.907 * [taylor]: Taking taylor expansion of -1 in im 0.907 * [taylor]: Taking taylor expansion of im in im 0.907 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.907 * [taylor]: Taking taylor expansion of -1 in im 0.907 * [taylor]: Taking taylor expansion of im in im 0.910 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.910 * [taylor]: Taking taylor expansion of re in im 0.911 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/3) in re 0.911 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in re 0.911 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.911 * [taylor]: Taking taylor expansion of 1/3 in re 0.911 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.911 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.911 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.911 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.911 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.911 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.911 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.911 * [taylor]: Taking taylor expansion of -1 in re 0.911 * [taylor]: Taking taylor expansion of re in re 0.912 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.912 * [taylor]: Taking taylor expansion of -1 in re 0.912 * [taylor]: Taking taylor expansion of re in re 0.912 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.912 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.912 * [taylor]: Taking taylor expansion of -1 in re 0.912 * [taylor]: Taking taylor expansion of im in re 0.912 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.912 * [taylor]: Taking taylor expansion of -1 in re 0.912 * [taylor]: Taking taylor expansion of im in re 0.915 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.915 * [taylor]: Taking taylor expansion of re in re 0.921 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/3) in re 0.921 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in re 0.921 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.921 * [taylor]: Taking taylor expansion of 1/3 in re 0.921 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.921 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.921 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.921 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.921 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.921 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.921 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.921 * [taylor]: Taking taylor expansion of -1 in re 0.921 * [taylor]: Taking taylor expansion of re in re 0.921 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.921 * [taylor]: Taking taylor expansion of -1 in re 0.921 * [taylor]: Taking taylor expansion of re in re 0.922 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.922 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.922 * [taylor]: Taking taylor expansion of -1 in re 0.922 * [taylor]: Taking taylor expansion of im in re 0.922 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.922 * [taylor]: Taking taylor expansion of -1 in re 0.922 * [taylor]: Taking taylor expansion of im in re 0.925 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.925 * [taylor]: Taking taylor expansion of re in re 0.930 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re)))) in im 0.930 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re))) in im 0.930 * [taylor]: Taking taylor expansion of 1/3 in im 0.930 * [taylor]: Taking taylor expansion of (+ (log (/ 1/2 (pow im 2))) (log re)) in im 0.930 * [taylor]: Taking taylor expansion of (log (/ 1/2 (pow im 2))) in im 0.930 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.930 * [taylor]: Taking taylor expansion of 1/2 in im 0.930 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.930 * [taylor]: Taking taylor expansion of im in im 0.931 * [taylor]: Taking taylor expansion of (log re) in im 0.931 * [taylor]: Taking taylor expansion of re in im 0.938 * [taylor]: Taking taylor expansion of 0 in im 0.954 * [taylor]: Taking taylor expansion of (* -1/12 (/ (exp (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re)))) (pow im 2))) in im 0.954 * [taylor]: Taking taylor expansion of -1/12 in im 0.954 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re)))) (pow im 2)) in im 0.954 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re)))) in im 0.954 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re))) in im 0.954 * [taylor]: Taking taylor expansion of 1/3 in im 0.954 * [taylor]: Taking taylor expansion of (+ (log (/ 1/2 (pow im 2))) (log re)) in im 0.954 * [taylor]: Taking taylor expansion of (log (/ 1/2 (pow im 2))) in im 0.954 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.954 * [taylor]: Taking taylor expansion of 1/2 in im 0.954 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.954 * [taylor]: Taking taylor expansion of im in im 0.955 * [taylor]: Taking taylor expansion of (log re) in im 0.955 * [taylor]: Taking taylor expansion of re in im 0.957 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.957 * [taylor]: Taking taylor expansion of im in im 0.984 * [taylor]: Taking taylor expansion of 0 in im 0.985 * * * [progress]: simplifying candidates 0.986 * [simplify]: Simplifying using # : (expm1 (+ (* 1 (hypot re im)) re)) (log1p (+ (* 1 (hypot re im)) re)) (* (exp (* 1 (hypot re im))) (exp re)) (log (+ (* 1 (hypot re im)) re)) (exp (+ (* 1 (hypot re im)) re)) (* (cbrt (+ (* 1 (hypot re im)) re)) (cbrt (+ (* 1 (hypot re im)) re))) (cbrt (+ (* 1 (hypot re im)) re)) (* (* (+ (* 1 (hypot re im)) re) (+ (* 1 (hypot re im)) re)) (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)) (+ (pow (* 1 (hypot re im)) 3) (pow re 3)) (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (- (* re re) (* (* 1 (hypot re im)) re))) (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re)) (- (* 1 (hypot re im)) re) (+ (hypot re im) re) (expm1 (+ (* 1 (hypot re im)) re)) (log1p (+ (* 1 (hypot re im)) re)) (* (exp (* 1 (hypot re im))) (exp re)) (log (+ (* 1 (hypot re im)) re)) (exp (+ (* 1 (hypot re im)) re)) (* (cbrt (+ (* 1 (hypot re im)) re)) (cbrt (+ (* 1 (hypot re im)) re))) (cbrt (+ (* 1 (hypot re im)) re)) (* (* (+ (* 1 (hypot re im)) re) (+ (* 1 (hypot re im)) re)) (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)) (+ (pow (* 1 (hypot re im)) 3) (pow re 3)) (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (- (* re re) (* (* 1 (hypot re im)) re))) (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re)) (- (* 1 (hypot re im)) re) (+ (hypot re im) re) (expm1 (+ (* 1 (hypot re im)) re)) (log1p (+ (* 1 (hypot re im)) re)) (* (exp (* 1 (hypot re im))) (exp re)) (log (+ (* 1 (hypot re im)) re)) (exp (+ (* 1 (hypot re im)) re)) (* (cbrt (+ (* 1 (hypot re im)) re)) (cbrt (+ (* 1 (hypot re im)) re))) (cbrt (+ (* 1 (hypot re im)) re)) (* (* (+ (* 1 (hypot re im)) re) (+ (* 1 (hypot re im)) re)) (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)) (+ (pow (* 1 (hypot re im)) 3) (pow re 3)) (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (- (* re re) (* (* 1 (hypot re im)) re))) (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re)) (- (* 1 (hypot re im)) re) (+ (hypot re im) re) (expm1 (cbrt (+ (* 1 (hypot re im)) re))) (log1p (cbrt (+ (* 1 (hypot re im)) re))) (log (cbrt (+ (* 1 (hypot re im)) re))) (exp (cbrt (+ (* 1 (hypot re im)) re))) (cbrt (* (cbrt (+ (* 1 (hypot re im)) re)) (cbrt (+ (* 1 (hypot re im)) re)))) (cbrt (cbrt (+ (* 1 (hypot re im)) re))) (cbrt (sqrt (+ (* 1 (hypot re im)) re))) (cbrt (sqrt (+ (* 1 (hypot re im)) re))) (cbrt 1) (cbrt (+ (* 1 (hypot re im)) re)) (cbrt 1) (cbrt (+ (hypot re im) re)) (cbrt (+ (pow (* 1 (hypot re im)) 3) (pow re 3))) (cbrt (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (- (* re re) (* (* 1 (hypot re im)) re)))) (cbrt (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re))) (cbrt (- (* 1 (hypot re im)) re)) (* (cbrt (cbrt (+ (* 1 (hypot re im)) re))) (cbrt (cbrt (+ (* 1 (hypot re im)) re)))) (cbrt (cbrt (+ (* 1 (hypot re im)) re))) (* (* (cbrt (+ (* 1 (hypot re im)) re)) (cbrt (+ (* 1 (hypot re im)) re))) (cbrt (+ (* 1 (hypot re im)) re))) (sqrt (cbrt (+ (* 1 (hypot re im)) re))) (sqrt (cbrt (+ (* 1 (hypot re im)) re))) (+ re im) (* 2 re) 0 (+ re im) (* 2 re) 0 (+ re im) (* 2 re) 0 (+ (pow im 1/3) (+ (* 1/3 (* re (pow (/ 1 (pow im 2)) 1/3))) (* 1/18 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3))))) (exp (* 1/3 (- (log 2) (log (/ 1 re))))) (exp (* 1/3 (- (+ (log (/ -1 re)) (log 1/2)) (* 2 (log (/ -1 im)))))) 0.991 * * [simplify]: iteration 0 : 201 enodes (cost 380 ) 0.995 * * [simplify]: iteration 1 : 558 enodes (cost 326 ) 1.006 * * [simplify]: iteration 2 : 2452 enodes (cost 317 ) 1.050 * * [simplify]: iteration 3 : 5001 enodes (cost 309 ) 1.052 * [simplify]: Simplified to: (expm1 (+ (* 1 (hypot re im)) re)) (log1p (+ (* 1 (hypot re im)) re)) (exp (+ re (hypot re im))) (log (+ (* 1 (hypot re im)) re)) (exp (+ re (hypot re im))) (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))) (cbrt (+ (hypot re im) re)) (pow (fma 1 (hypot re im) re) 3) (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)) (fma (pow re 2) re (pow (hypot re im) 3)) (fma (hypot re im) (- (hypot re im) re) (pow re 2)) (fma (hypot re im) (hypot re im) (- (pow re 2))) (- (hypot re im) re) (fma 1 (hypot re im) re) (expm1 (+ (* 1 (hypot re im)) re)) (log1p (+ (* 1 (hypot re im)) re)) (exp (+ re (hypot re im))) (log (+ (* 1 (hypot re im)) re)) (exp (+ re (hypot re im))) (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))) (cbrt (+ (hypot re im) re)) (pow (fma 1 (hypot re im) re) 3) (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)) (fma (pow re 2) re (pow (hypot re im) 3)) (fma (hypot re im) (- (hypot re im) re) (pow re 2)) (fma (hypot re im) (hypot re im) (- (pow re 2))) (- (hypot re im) re) (fma 1 (hypot re im) re) (expm1 (+ (* 1 (hypot re im)) re)) (log1p (+ (* 1 (hypot re im)) re)) (exp (+ re (hypot re im))) (log (+ (* 1 (hypot re im)) re)) (exp (+ re (hypot re im))) (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))) (cbrt (+ (hypot re im) re)) (pow (fma 1 (hypot re im) re) 3) (sqrt (+ (* 1 (hypot re im)) re)) (sqrt (+ (* 1 (hypot re im)) re)) (fma (pow re 2) re (pow (hypot re im) 3)) (fma (hypot re im) (- (hypot re im) re) (pow re 2)) (fma (hypot re im) (hypot re im) (- (pow re 2))) (- (hypot re im) re) (fma 1 (hypot re im) re) (expm1 (cbrt (+ (* 1 (hypot re im)) re))) (log1p (cbrt (+ (* 1 (hypot re im)) re))) (log (cbrt (+ (hypot re im) re))) (exp (cbrt (+ (hypot re im) re))) (cbrt (* (cbrt (+ (* 1 (hypot re im)) re)) (cbrt (+ (* 1 (hypot re im)) re)))) (cbrt (cbrt (+ (* 1 (hypot re im)) re))) (cbrt (sqrt (+ (* 1 (hypot re im)) re))) (cbrt (sqrt (+ (* 1 (hypot re im)) re))) 1 (cbrt (+ (hypot re im) re)) 1 (cbrt (+ (hypot re im) re)) (cbrt (+ (pow (* 1 (hypot re im)) 3) (pow re 3))) (cbrt (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (- (* re re) (* (* 1 (hypot re im)) re)))) (cbrt (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re))) (cbrt (- (* 1 (hypot re im)) re)) (* (cbrt (cbrt (+ (* 1 (hypot re im)) re))) (cbrt (cbrt (+ (* 1 (hypot re im)) re)))) (cbrt (cbrt (+ (* 1 (hypot re im)) re))) (fma 1 (hypot re im) re) (sqrt (cbrt (+ (* 1 (hypot re im)) re))) (sqrt (cbrt (+ (* 1 (hypot re im)) re))) (+ re im) (* 2 re) 0 (+ re im) (* 2 re) 0 (+ re im) (* 2 re) 0 (fma (* (pow (/ 1 (pow im 2)) 1/3) 1/3) re (fma (* 1/18 (pow re 2)) (pow (/ 1 (pow im 5)) 1/3) (pow im 1/3))) (* (pow re 1/3) (pow 2 1/3)) (exp (* 1/3 (- (+ (log (/ -1 re)) (log 1/2)) (* 2 (log (/ -1 im)))))) 1.053 * * * [progress]: adding candidates to table 1.461 * * [progress]: iteration 4 / 4 1.461 * * * [progress]: picking best candidate 1.470 * * * * [pick]: Picked # 1.470 * * * [progress]: localizing error 1.480 * * * [progress]: generating rewritten candidates 1.480 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2) 1.488 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.495 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 2) 1.498 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 1.533 * * * [progress]: generating series expansions 1.533 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2) 1.533 * [approximate]: Taking taylor expansion of (/ (pow im 2) (- (hypot re im) re)) in (im re) around 0 1.533 * [taylor]: Taking taylor expansion of (/ (pow im 2) (- (hypot re im) re)) in re 1.533 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.533 * [taylor]: Taking taylor expansion of im in re 1.533 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.533 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.533 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.533 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.533 * [taylor]: Taking taylor expansion of (* re re) in re 1.533 * [taylor]: Taking taylor expansion of re in re 1.533 * [taylor]: Taking taylor expansion of re in re 1.533 * [taylor]: Taking taylor expansion of (* im im) in re 1.533 * [taylor]: Taking taylor expansion of im in re 1.533 * [taylor]: Taking taylor expansion of im in re 1.535 * [taylor]: Taking taylor expansion of re in re 1.535 * [taylor]: Taking taylor expansion of (/ (pow im 2) (- (hypot re im) re)) in im 1.535 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.535 * [taylor]: Taking taylor expansion of im in im 1.535 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 1.535 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.535 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.535 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.535 * [taylor]: Taking taylor expansion of (* re re) in im 1.535 * [taylor]: Taking taylor expansion of re in im 1.535 * [taylor]: Taking taylor expansion of re in im 1.535 * [taylor]: Taking taylor expansion of (* im im) in im 1.535 * [taylor]: Taking taylor expansion of im in im 1.535 * [taylor]: Taking taylor expansion of im in im 1.536 * [taylor]: Taking taylor expansion of re in im 1.539 * [taylor]: Taking taylor expansion of (/ (pow im 2) (- (hypot re im) re)) in im 1.539 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.539 * [taylor]: Taking taylor expansion of im in im 1.539 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 1.539 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.539 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.539 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.539 * [taylor]: Taking taylor expansion of (* re re) in im 1.539 * [taylor]: Taking taylor expansion of re in im 1.539 * [taylor]: Taking taylor expansion of re in im 1.539 * [taylor]: Taking taylor expansion of (* im im) in im 1.539 * [taylor]: Taking taylor expansion of im in im 1.539 * [taylor]: Taking taylor expansion of im in im 1.540 * [taylor]: Taking taylor expansion of re in im 1.543 * [taylor]: Taking taylor expansion of (* 2 re) in re 1.543 * [taylor]: Taking taylor expansion of 2 in re 1.543 * [taylor]: Taking taylor expansion of re in re 1.545 * [taylor]: Taking taylor expansion of 0 in re 1.549 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 re)) in re 1.549 * [taylor]: Taking taylor expansion of 1/2 in re 1.549 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.549 * [taylor]: Taking taylor expansion of re in re 1.554 * [taylor]: Taking taylor expansion of 0 in re 1.556 * [approximate]: Taking taylor expansion of (/ 1 (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (pow im 2))) in (im re) around 0 1.556 * [taylor]: Taking taylor expansion of (/ 1 (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (pow im 2))) in re 1.556 * [taylor]: Taking taylor expansion of (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (pow im 2)) in re 1.556 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.556 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.556 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.556 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.556 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.556 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.556 * [taylor]: Taking taylor expansion of re in re 1.556 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.556 * [taylor]: Taking taylor expansion of re in re 1.556 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.556 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.556 * [taylor]: Taking taylor expansion of im in re 1.557 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.557 * [taylor]: Taking taylor expansion of im in re 1.559 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.559 * [taylor]: Taking taylor expansion of re in re 1.559 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.559 * [taylor]: Taking taylor expansion of im in re 1.565 * [taylor]: Taking taylor expansion of (/ 1 (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (pow im 2))) in im 1.565 * [taylor]: Taking taylor expansion of (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (pow im 2)) in im 1.565 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.565 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.565 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.565 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.565 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.565 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.566 * [taylor]: Taking taylor expansion of re in im 1.566 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.566 * [taylor]: Taking taylor expansion of re in im 1.566 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.566 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.566 * [taylor]: Taking taylor expansion of im in im 1.566 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.566 * [taylor]: Taking taylor expansion of im in im 1.569 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.569 * [taylor]: Taking taylor expansion of re in im 1.569 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.569 * [taylor]: Taking taylor expansion of im in im 1.570 * [taylor]: Taking taylor expansion of (/ 1 (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (pow im 2))) in im 1.570 * [taylor]: Taking taylor expansion of (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (pow im 2)) in im 1.570 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.570 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.570 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.570 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.570 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.570 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.570 * [taylor]: Taking taylor expansion of re in im 1.570 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.570 * [taylor]: Taking taylor expansion of re in im 1.570 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.570 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.570 * [taylor]: Taking taylor expansion of im in im 1.570 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.570 * [taylor]: Taking taylor expansion of im in im 1.573 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.573 * [taylor]: Taking taylor expansion of re in im 1.573 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.573 * [taylor]: Taking taylor expansion of im in im 1.574 * [taylor]: Taking taylor expansion of 1 in re 1.575 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.575 * [taylor]: Taking taylor expansion of re in re 1.579 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 1.579 * [taylor]: Taking taylor expansion of 1/2 in re 1.579 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.579 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.579 * [taylor]: Taking taylor expansion of re in re 1.586 * [taylor]: Taking taylor expansion of 0 in re 1.588 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) (pow im 2))) in (im re) around 0 1.588 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) (pow im 2))) in re 1.588 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) (pow im 2)) in re 1.588 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.588 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.588 * [taylor]: Taking taylor expansion of re in re 1.588 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.588 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.588 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.588 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.588 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.588 * [taylor]: Taking taylor expansion of -1 in re 1.588 * [taylor]: Taking taylor expansion of re in re 1.589 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.589 * [taylor]: Taking taylor expansion of -1 in re 1.589 * [taylor]: Taking taylor expansion of re in re 1.589 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.589 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.589 * [taylor]: Taking taylor expansion of -1 in re 1.589 * [taylor]: Taking taylor expansion of im in re 1.589 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.589 * [taylor]: Taking taylor expansion of -1 in re 1.589 * [taylor]: Taking taylor expansion of im in re 1.592 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.592 * [taylor]: Taking taylor expansion of im in re 1.592 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) (pow im 2))) in im 1.592 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) (pow im 2)) in im 1.592 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 1.592 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.592 * [taylor]: Taking taylor expansion of re in im 1.592 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.592 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.592 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.592 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.592 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.592 * [taylor]: Taking taylor expansion of -1 in im 1.592 * [taylor]: Taking taylor expansion of re in im 1.592 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.593 * [taylor]: Taking taylor expansion of -1 in im 1.593 * [taylor]: Taking taylor expansion of re in im 1.593 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.593 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.593 * [taylor]: Taking taylor expansion of -1 in im 1.593 * [taylor]: Taking taylor expansion of im in im 1.593 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.593 * [taylor]: Taking taylor expansion of -1 in im 1.593 * [taylor]: Taking taylor expansion of im in im 1.596 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.596 * [taylor]: Taking taylor expansion of im in im 1.597 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) (pow im 2))) in im 1.597 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) (pow im 2)) in im 1.597 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 1.597 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.597 * [taylor]: Taking taylor expansion of re in im 1.597 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.597 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.597 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.597 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.597 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.597 * [taylor]: Taking taylor expansion of -1 in im 1.597 * [taylor]: Taking taylor expansion of re in im 1.597 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.597 * [taylor]: Taking taylor expansion of -1 in im 1.597 * [taylor]: Taking taylor expansion of re in im 1.597 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.597 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.597 * [taylor]: Taking taylor expansion of -1 in im 1.597 * [taylor]: Taking taylor expansion of im in im 1.597 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.597 * [taylor]: Taking taylor expansion of -1 in im 1.597 * [taylor]: Taking taylor expansion of im in im 1.600 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.600 * [taylor]: Taking taylor expansion of im in im 1.601 * [taylor]: Taking taylor expansion of 1 in re 1.602 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 1.602 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.602 * [taylor]: Taking taylor expansion of re in re 1.607 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 1.607 * [taylor]: Taking taylor expansion of 1/2 in re 1.607 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.607 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.607 * [taylor]: Taking taylor expansion of re in re 1.615 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.615 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (hypot re im) re)))) in (im re) around 0 1.615 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (hypot re im) re)))) in re 1.615 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re 1.615 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.615 * [taylor]: Taking taylor expansion of 2.0 in re 1.616 * [taylor]: Taking taylor expansion of im in re 1.616 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (hypot re im) re))) in re 1.616 * [taylor]: Taking taylor expansion of (/ 1 (- (hypot re im) re)) in re 1.616 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.616 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.616 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.616 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.616 * [taylor]: Taking taylor expansion of (* re re) in re 1.616 * [taylor]: Taking taylor expansion of re in re 1.616 * [taylor]: Taking taylor expansion of re in re 1.616 * [taylor]: Taking taylor expansion of (* im im) in re 1.616 * [taylor]: Taking taylor expansion of im in re 1.616 * [taylor]: Taking taylor expansion of im in re 1.617 * [taylor]: Taking taylor expansion of re in re 1.618 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (hypot re im) re)))) in im 1.618 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 1.618 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.618 * [taylor]: Taking taylor expansion of 2.0 in im 1.619 * [taylor]: Taking taylor expansion of im in im 1.619 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (hypot re im) re))) in im 1.619 * [taylor]: Taking taylor expansion of (/ 1 (- (hypot re im) re)) in im 1.619 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 1.619 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.619 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.619 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.619 * [taylor]: Taking taylor expansion of (* re re) in im 1.619 * [taylor]: Taking taylor expansion of re in im 1.619 * [taylor]: Taking taylor expansion of re in im 1.619 * [taylor]: Taking taylor expansion of (* im im) in im 1.619 * [taylor]: Taking taylor expansion of im in im 1.619 * [taylor]: Taking taylor expansion of im in im 1.621 * [taylor]: Taking taylor expansion of re in im 1.624 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (hypot re im) re)))) in im 1.625 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 1.625 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.625 * [taylor]: Taking taylor expansion of 2.0 in im 1.625 * [taylor]: Taking taylor expansion of im in im 1.625 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (hypot re im) re))) in im 1.625 * [taylor]: Taking taylor expansion of (/ 1 (- (hypot re im) re)) in im 1.625 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 1.625 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.625 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.625 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.625 * [taylor]: Taking taylor expansion of (* re re) in im 1.625 * [taylor]: Taking taylor expansion of re in im 1.626 * [taylor]: Taking taylor expansion of re in im 1.626 * [taylor]: Taking taylor expansion of (* im im) in im 1.626 * [taylor]: Taking taylor expansion of im in im 1.626 * [taylor]: Taking taylor expansion of im in im 1.627 * [taylor]: Taking taylor expansion of re in im 1.631 * [taylor]: Taking taylor expansion of 0 in re 1.633 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 2)) (sqrt re)) in re 1.633 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 2)) in re 1.633 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.633 * [taylor]: Taking taylor expansion of 2.0 in re 1.634 * [taylor]: Taking taylor expansion of (sqrt 2) in re 1.634 * [taylor]: Taking taylor expansion of 2 in re 1.635 * [taylor]: Taking taylor expansion of (sqrt re) in re 1.635 * [taylor]: Taking taylor expansion of re in re 1.644 * [taylor]: Taking taylor expansion of 0 in re 1.655 * [taylor]: Taking taylor expansion of (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) in re 1.655 * [taylor]: Taking taylor expansion of 1/4 in re 1.655 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3)))) in re 1.655 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 2)) in re 1.655 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.655 * [taylor]: Taking taylor expansion of 2.0 in re 1.656 * [taylor]: Taking taylor expansion of (sqrt 2) in re 1.656 * [taylor]: Taking taylor expansion of 2 in re 1.658 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 3))) in re 1.658 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re 1.658 * [taylor]: Taking taylor expansion of (pow re 3) in re 1.658 * [taylor]: Taking taylor expansion of re in re 1.690 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) (/ (sqrt 2.0) im)) in (im re) around 0 1.690 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) (/ (sqrt 2.0) im)) in re 1.690 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in re 1.690 * [taylor]: Taking taylor expansion of (/ 1 (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.690 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.690 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.690 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.690 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.690 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.690 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.690 * [taylor]: Taking taylor expansion of re in re 1.690 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.690 * [taylor]: Taking taylor expansion of re in re 1.690 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.690 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.691 * [taylor]: Taking taylor expansion of im in re 1.691 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.691 * [taylor]: Taking taylor expansion of im in re 1.696 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.696 * [taylor]: Taking taylor expansion of re in re 1.702 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 1.702 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.702 * [taylor]: Taking taylor expansion of 2.0 in re 1.703 * [taylor]: Taking taylor expansion of im in re 1.703 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) (/ (sqrt 2.0) im)) in im 1.703 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in im 1.703 * [taylor]: Taking taylor expansion of (/ 1 (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 1.703 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.703 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.703 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.703 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.703 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.703 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.703 * [taylor]: Taking taylor expansion of re in im 1.703 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.703 * [taylor]: Taking taylor expansion of re in im 1.703 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.703 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.703 * [taylor]: Taking taylor expansion of im in im 1.703 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.703 * [taylor]: Taking taylor expansion of im in im 1.706 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.706 * [taylor]: Taking taylor expansion of re in im 1.708 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 1.708 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.708 * [taylor]: Taking taylor expansion of 2.0 in im 1.708 * [taylor]: Taking taylor expansion of im in im 1.709 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) (/ (sqrt 2.0) im)) in im 1.709 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in im 1.709 * [taylor]: Taking taylor expansion of (/ 1 (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 1.709 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.709 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.709 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.709 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.709 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.709 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.709 * [taylor]: Taking taylor expansion of re in im 1.709 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.709 * [taylor]: Taking taylor expansion of re in im 1.709 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.709 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.709 * [taylor]: Taking taylor expansion of im in im 1.710 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.710 * [taylor]: Taking taylor expansion of im in im 1.712 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.712 * [taylor]: Taking taylor expansion of re in im 1.714 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 1.714 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.714 * [taylor]: Taking taylor expansion of 2.0 in im 1.715 * [taylor]: Taking taylor expansion of im in im 1.715 * [taylor]: Taking taylor expansion of 0 in re 1.717 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 1.717 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.717 * [taylor]: Taking taylor expansion of +nan.0 in re 1.717 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.717 * [taylor]: Taking taylor expansion of 2.0 in re 1.721 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 1.721 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 1.721 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.721 * [taylor]: Taking taylor expansion of +nan.0 in re 1.721 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.721 * [taylor]: Taking taylor expansion of 2.0 in re 1.722 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 1.722 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 1.722 * [taylor]: Taking taylor expansion of +nan.0 in re 1.722 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 1.722 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.722 * [taylor]: Taking taylor expansion of 2.0 in re 1.722 * [taylor]: Taking taylor expansion of re in re 1.737 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re 1.737 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re 1.737 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.737 * [taylor]: Taking taylor expansion of +nan.0 in re 1.737 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.737 * [taylor]: Taking taylor expansion of 2.0 in re 1.738 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 1.738 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 1.738 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 1.738 * [taylor]: Taking taylor expansion of +nan.0 in re 1.738 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 1.738 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.738 * [taylor]: Taking taylor expansion of 2.0 in re 1.739 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.739 * [taylor]: Taking taylor expansion of re in re 1.739 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 1.740 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 1.740 * [taylor]: Taking taylor expansion of +nan.0 in re 1.740 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 1.740 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.740 * [taylor]: Taking taylor expansion of 2.0 in re 1.740 * [taylor]: Taking taylor expansion of re in re 1.753 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))))) in (im re) around 0 1.753 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))))) in re 1.753 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 1.753 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.753 * [taylor]: Taking taylor expansion of 2.0 in re 1.754 * [taylor]: Taking taylor expansion of im in re 1.754 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 1.754 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 1.754 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.754 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.754 * [taylor]: Taking taylor expansion of re in re 1.755 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.755 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.755 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.755 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.755 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.755 * [taylor]: Taking taylor expansion of -1 in re 1.755 * [taylor]: Taking taylor expansion of re in re 1.755 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.755 * [taylor]: Taking taylor expansion of -1 in re 1.755 * [taylor]: Taking taylor expansion of re in re 1.755 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.755 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.756 * [taylor]: Taking taylor expansion of -1 in re 1.756 * [taylor]: Taking taylor expansion of im in re 1.756 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.756 * [taylor]: Taking taylor expansion of -1 in re 1.756 * [taylor]: Taking taylor expansion of im in re 1.760 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))))) in im 1.760 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 1.760 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.760 * [taylor]: Taking taylor expansion of 2.0 in im 1.760 * [taylor]: Taking taylor expansion of im in im 1.761 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in im 1.761 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in im 1.761 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 1.761 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.761 * [taylor]: Taking taylor expansion of re in im 1.761 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.761 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.761 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.761 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.761 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.761 * [taylor]: Taking taylor expansion of -1 in im 1.761 * [taylor]: Taking taylor expansion of re in im 1.761 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.761 * [taylor]: Taking taylor expansion of -1 in im 1.761 * [taylor]: Taking taylor expansion of re in im 1.761 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.761 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.762 * [taylor]: Taking taylor expansion of -1 in im 1.762 * [taylor]: Taking taylor expansion of im in im 1.762 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.762 * [taylor]: Taking taylor expansion of -1 in im 1.762 * [taylor]: Taking taylor expansion of im in im 1.766 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))))) in im 1.766 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 1.766 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.766 * [taylor]: Taking taylor expansion of 2.0 in im 1.767 * [taylor]: Taking taylor expansion of im in im 1.767 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in im 1.767 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in im 1.767 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 1.767 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.767 * [taylor]: Taking taylor expansion of re in im 1.767 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.768 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.768 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.768 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.768 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.768 * [taylor]: Taking taylor expansion of -1 in im 1.768 * [taylor]: Taking taylor expansion of re in im 1.768 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.768 * [taylor]: Taking taylor expansion of -1 in im 1.768 * [taylor]: Taking taylor expansion of re in im 1.768 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.768 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.768 * [taylor]: Taking taylor expansion of -1 in im 1.768 * [taylor]: Taking taylor expansion of im in im 1.768 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.768 * [taylor]: Taking taylor expansion of -1 in im 1.768 * [taylor]: Taking taylor expansion of im in im 1.773 * [taylor]: Taking taylor expansion of 0 in re 1.774 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 1.775 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.775 * [taylor]: Taking taylor expansion of +nan.0 in re 1.775 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.775 * [taylor]: Taking taylor expansion of 2.0 in re 1.784 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 1.784 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 1.784 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.784 * [taylor]: Taking taylor expansion of +nan.0 in re 1.784 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.784 * [taylor]: Taking taylor expansion of 2.0 in re 1.784 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 1.784 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 1.784 * [taylor]: Taking taylor expansion of +nan.0 in re 1.784 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 1.784 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.784 * [taylor]: Taking taylor expansion of 2.0 in re 1.785 * [taylor]: Taking taylor expansion of re in re 1.797 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re 1.797 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re 1.797 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.797 * [taylor]: Taking taylor expansion of +nan.0 in re 1.797 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.797 * [taylor]: Taking taylor expansion of 2.0 in re 1.798 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 1.798 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 1.798 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 1.798 * [taylor]: Taking taylor expansion of +nan.0 in re 1.798 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 1.798 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.798 * [taylor]: Taking taylor expansion of 2.0 in re 1.799 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.799 * [taylor]: Taking taylor expansion of re in re 1.800 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 1.800 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 1.800 * [taylor]: Taking taylor expansion of +nan.0 in re 1.800 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 1.800 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.800 * [taylor]: Taking taylor expansion of 2.0 in re 1.800 * [taylor]: Taking taylor expansion of re in re 1.813 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 2) 1.813 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 1.813 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 1.813 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.813 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.813 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.813 * [taylor]: Taking taylor expansion of (* re re) in im 1.813 * [taylor]: Taking taylor expansion of re in im 1.813 * [taylor]: Taking taylor expansion of re in im 1.813 * [taylor]: Taking taylor expansion of (* im im) in im 1.813 * [taylor]: Taking taylor expansion of im in im 1.813 * [taylor]: Taking taylor expansion of im in im 1.814 * [taylor]: Taking taylor expansion of re in im 1.814 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.814 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.814 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.814 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.814 * [taylor]: Taking taylor expansion of (* re re) in re 1.814 * [taylor]: Taking taylor expansion of re in re 1.814 * [taylor]: Taking taylor expansion of re in re 1.814 * [taylor]: Taking taylor expansion of (* im im) in re 1.814 * [taylor]: Taking taylor expansion of im in re 1.814 * [taylor]: Taking taylor expansion of im in re 1.816 * [taylor]: Taking taylor expansion of re in re 1.816 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.816 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.816 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.816 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.816 * [taylor]: Taking taylor expansion of (* re re) in re 1.816 * [taylor]: Taking taylor expansion of re in re 1.816 * [taylor]: Taking taylor expansion of re in re 1.816 * [taylor]: Taking taylor expansion of (* im im) in re 1.816 * [taylor]: Taking taylor expansion of im in re 1.816 * [taylor]: Taking taylor expansion of im in re 1.817 * [taylor]: Taking taylor expansion of re in re 1.817 * [taylor]: Taking taylor expansion of im in im 1.818 * [taylor]: Taking taylor expansion of -1 in im 1.820 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.820 * [taylor]: Taking taylor expansion of 1/2 in im 1.820 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.820 * [taylor]: Taking taylor expansion of im in im 1.822 * [taylor]: Taking taylor expansion of 0 in im 1.824 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 1.824 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.824 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.824 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.824 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.824 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.824 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.824 * [taylor]: Taking taylor expansion of re in im 1.824 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.824 * [taylor]: Taking taylor expansion of re in im 1.824 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.824 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.824 * [taylor]: Taking taylor expansion of im in im 1.824 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.824 * [taylor]: Taking taylor expansion of im in im 1.827 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.827 * [taylor]: Taking taylor expansion of re in im 1.827 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.827 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.827 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.827 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.827 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.827 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.827 * [taylor]: Taking taylor expansion of re in re 1.827 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.827 * [taylor]: Taking taylor expansion of re in re 1.828 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.828 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.828 * [taylor]: Taking taylor expansion of im in re 1.828 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.828 * [taylor]: Taking taylor expansion of im in re 1.830 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.830 * [taylor]: Taking taylor expansion of re in re 1.830 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.830 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.831 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.831 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.831 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.831 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.831 * [taylor]: Taking taylor expansion of re in re 1.831 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.831 * [taylor]: Taking taylor expansion of re in re 1.831 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.831 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.831 * [taylor]: Taking taylor expansion of im in re 1.831 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.831 * [taylor]: Taking taylor expansion of im in re 1.834 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.834 * [taylor]: Taking taylor expansion of re in re 1.834 * [taylor]: Taking taylor expansion of 0 in im 1.835 * [taylor]: Taking taylor expansion of 0 in im 1.839 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.839 * [taylor]: Taking taylor expansion of 1/2 in im 1.839 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.839 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.839 * [taylor]: Taking taylor expansion of im in im 1.845 * [taylor]: Taking taylor expansion of 0 in im 1.847 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 1.847 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 1.847 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.847 * [taylor]: Taking taylor expansion of re in im 1.847 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.847 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.847 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.847 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.847 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.847 * [taylor]: Taking taylor expansion of -1 in im 1.847 * [taylor]: Taking taylor expansion of re in im 1.847 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.847 * [taylor]: Taking taylor expansion of -1 in im 1.847 * [taylor]: Taking taylor expansion of re in im 1.847 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.847 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.847 * [taylor]: Taking taylor expansion of -1 in im 1.848 * [taylor]: Taking taylor expansion of im in im 1.848 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.848 * [taylor]: Taking taylor expansion of -1 in im 1.848 * [taylor]: Taking taylor expansion of im in im 1.851 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.851 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.851 * [taylor]: Taking taylor expansion of re in re 1.851 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.851 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.851 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.851 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.851 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.851 * [taylor]: Taking taylor expansion of -1 in re 1.851 * [taylor]: Taking taylor expansion of re in re 1.851 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.851 * [taylor]: Taking taylor expansion of -1 in re 1.851 * [taylor]: Taking taylor expansion of re in re 1.852 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.852 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.852 * [taylor]: Taking taylor expansion of -1 in re 1.852 * [taylor]: Taking taylor expansion of im in re 1.852 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.852 * [taylor]: Taking taylor expansion of -1 in re 1.852 * [taylor]: Taking taylor expansion of im in re 1.855 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.855 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.855 * [taylor]: Taking taylor expansion of re in re 1.855 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.855 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.855 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.855 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.855 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.855 * [taylor]: Taking taylor expansion of -1 in re 1.855 * [taylor]: Taking taylor expansion of re in re 1.855 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.855 * [taylor]: Taking taylor expansion of -1 in re 1.855 * [taylor]: Taking taylor expansion of re in re 1.856 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.856 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.856 * [taylor]: Taking taylor expansion of -1 in re 1.856 * [taylor]: Taking taylor expansion of im in re 1.856 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.856 * [taylor]: Taking taylor expansion of -1 in re 1.856 * [taylor]: Taking taylor expansion of im in re 1.859 * [taylor]: Taking taylor expansion of 2 in im 1.859 * [taylor]: Taking taylor expansion of 0 in im 1.865 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.865 * [taylor]: Taking taylor expansion of 1/2 in im 1.865 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.865 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.866 * [taylor]: Taking taylor expansion of im in im 1.870 * [taylor]: Taking taylor expansion of 0 in im 1.872 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.872 * [approximate]: Taking taylor expansion of (* 2.0 (/ (pow im 2) (- (hypot re im) re))) in (im re) around 0 1.872 * [taylor]: Taking taylor expansion of (* 2.0 (/ (pow im 2) (- (hypot re im) re))) in re 1.872 * [taylor]: Taking taylor expansion of 2.0 in re 1.872 * [taylor]: Taking taylor expansion of (/ (pow im 2) (- (hypot re im) re)) in re 1.872 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.872 * [taylor]: Taking taylor expansion of im in re 1.872 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.872 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.872 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.872 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.872 * [taylor]: Taking taylor expansion of (* re re) in re 1.872 * [taylor]: Taking taylor expansion of re in re 1.872 * [taylor]: Taking taylor expansion of re in re 1.872 * [taylor]: Taking taylor expansion of (* im im) in re 1.872 * [taylor]: Taking taylor expansion of im in re 1.872 * [taylor]: Taking taylor expansion of im in re 1.873 * [taylor]: Taking taylor expansion of re in re 1.874 * [taylor]: Taking taylor expansion of (* 2.0 (/ (pow im 2) (- (hypot re im) re))) in im 1.874 * [taylor]: Taking taylor expansion of 2.0 in im 1.874 * [taylor]: Taking taylor expansion of (/ (pow im 2) (- (hypot re im) re)) in im 1.874 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.874 * [taylor]: Taking taylor expansion of im in im 1.874 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 1.874 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.874 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.874 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.874 * [taylor]: Taking taylor expansion of (* re re) in im 1.874 * [taylor]: Taking taylor expansion of re in im 1.874 * [taylor]: Taking taylor expansion of re in im 1.874 * [taylor]: Taking taylor expansion of (* im im) in im 1.874 * [taylor]: Taking taylor expansion of im in im 1.874 * [taylor]: Taking taylor expansion of im in im 1.875 * [taylor]: Taking taylor expansion of re in im 1.878 * [taylor]: Taking taylor expansion of (* 2.0 (/ (pow im 2) (- (hypot re im) re))) in im 1.878 * [taylor]: Taking taylor expansion of 2.0 in im 1.878 * [taylor]: Taking taylor expansion of (/ (pow im 2) (- (hypot re im) re)) in im 1.878 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.878 * [taylor]: Taking taylor expansion of im in im 1.878 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 1.878 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.878 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.878 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.878 * [taylor]: Taking taylor expansion of (* re re) in im 1.878 * [taylor]: Taking taylor expansion of re in im 1.878 * [taylor]: Taking taylor expansion of re in im 1.878 * [taylor]: Taking taylor expansion of (* im im) in im 1.878 * [taylor]: Taking taylor expansion of im in im 1.878 * [taylor]: Taking taylor expansion of im in im 1.879 * [taylor]: Taking taylor expansion of re in im 1.881 * [taylor]: Taking taylor expansion of (* 4.0 re) in re 1.881 * [taylor]: Taking taylor expansion of 4.0 in re 1.881 * [taylor]: Taking taylor expansion of re in re 1.884 * [taylor]: Taking taylor expansion of 0 in re 1.889 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 re)) in re 1.889 * [taylor]: Taking taylor expansion of 1.0 in re 1.889 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.889 * [taylor]: Taking taylor expansion of re in re 1.894 * [taylor]: Taking taylor expansion of 0 in re 1.895 * [approximate]: Taking taylor expansion of (/ 2.0 (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (pow im 2))) in (im re) around 0 1.895 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (pow im 2))) in re 1.895 * [taylor]: Taking taylor expansion of 2.0 in re 1.895 * [taylor]: Taking taylor expansion of (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (pow im 2)) in re 1.895 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.895 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.896 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.896 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.896 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.896 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.896 * [taylor]: Taking taylor expansion of re in re 1.896 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.896 * [taylor]: Taking taylor expansion of re in re 1.896 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.896 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.896 * [taylor]: Taking taylor expansion of im in re 1.896 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.896 * [taylor]: Taking taylor expansion of im in re 1.899 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.899 * [taylor]: Taking taylor expansion of re in re 1.899 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.899 * [taylor]: Taking taylor expansion of im in re 1.905 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (pow im 2))) in im 1.905 * [taylor]: Taking taylor expansion of 2.0 in im 1.905 * [taylor]: Taking taylor expansion of (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (pow im 2)) in im 1.905 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.906 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.906 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.906 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.906 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.906 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.906 * [taylor]: Taking taylor expansion of re in im 1.906 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.906 * [taylor]: Taking taylor expansion of re in im 1.906 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.906 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.906 * [taylor]: Taking taylor expansion of im in im 1.906 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.906 * [taylor]: Taking taylor expansion of im in im 1.909 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.909 * [taylor]: Taking taylor expansion of re in im 1.909 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.909 * [taylor]: Taking taylor expansion of im in im 1.910 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (pow im 2))) in im 1.910 * [taylor]: Taking taylor expansion of 2.0 in im 1.910 * [taylor]: Taking taylor expansion of (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (pow im 2)) in im 1.910 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.910 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.910 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.910 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.910 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.910 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.910 * [taylor]: Taking taylor expansion of re in im 1.910 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.910 * [taylor]: Taking taylor expansion of re in im 1.910 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.910 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.910 * [taylor]: Taking taylor expansion of im in im 1.911 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.911 * [taylor]: Taking taylor expansion of im in im 1.913 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.913 * [taylor]: Taking taylor expansion of re in im 1.914 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.914 * [taylor]: Taking taylor expansion of im in im 1.915 * [taylor]: Taking taylor expansion of 2.0 in re 1.917 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 re)) in re 1.917 * [taylor]: Taking taylor expansion of 2.0 in re 1.917 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.917 * [taylor]: Taking taylor expansion of re in re 1.922 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow re 2))) in re 1.922 * [taylor]: Taking taylor expansion of 1.0 in re 1.922 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.922 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.922 * [taylor]: Taking taylor expansion of re in re 1.930 * [taylor]: Taking taylor expansion of 0 in re 1.932 * [approximate]: Taking taylor expansion of (/ 2.0 (* (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) (pow im 2))) in (im re) around 0 1.933 * [taylor]: Taking taylor expansion of (/ 2.0 (* (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) (pow im 2))) in re 1.933 * [taylor]: Taking taylor expansion of 2.0 in re 1.933 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) (pow im 2)) in re 1.933 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.933 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.933 * [taylor]: Taking taylor expansion of re in re 1.933 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.933 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.933 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.933 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.933 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.933 * [taylor]: Taking taylor expansion of -1 in re 1.933 * [taylor]: Taking taylor expansion of re in re 1.933 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.933 * [taylor]: Taking taylor expansion of -1 in re 1.933 * [taylor]: Taking taylor expansion of re in re 1.934 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.934 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.934 * [taylor]: Taking taylor expansion of -1 in re 1.934 * [taylor]: Taking taylor expansion of im in re 1.934 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.934 * [taylor]: Taking taylor expansion of -1 in re 1.934 * [taylor]: Taking taylor expansion of im in re 1.937 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.937 * [taylor]: Taking taylor expansion of im in re 1.937 * [taylor]: Taking taylor expansion of (/ 2.0 (* (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) (pow im 2))) in im 1.937 * [taylor]: Taking taylor expansion of 2.0 in im 1.937 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) (pow im 2)) in im 1.937 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 1.937 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.937 * [taylor]: Taking taylor expansion of re in im 1.937 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.937 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.937 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.937 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.937 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.937 * [taylor]: Taking taylor expansion of -1 in im 1.937 * [taylor]: Taking taylor expansion of re in im 1.937 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.937 * [taylor]: Taking taylor expansion of -1 in im 1.937 * [taylor]: Taking taylor expansion of re in im 1.937 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.937 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.937 * [taylor]: Taking taylor expansion of -1 in im 1.937 * [taylor]: Taking taylor expansion of im in im 1.938 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.938 * [taylor]: Taking taylor expansion of -1 in im 1.938 * [taylor]: Taking taylor expansion of im in im 1.941 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.941 * [taylor]: Taking taylor expansion of im in im 1.942 * [taylor]: Taking taylor expansion of (/ 2.0 (* (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) (pow im 2))) in im 1.942 * [taylor]: Taking taylor expansion of 2.0 in im 1.942 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) (pow im 2)) in im 1.942 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 1.942 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.942 * [taylor]: Taking taylor expansion of re in im 1.942 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.942 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.942 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.942 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.942 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.942 * [taylor]: Taking taylor expansion of -1 in im 1.942 * [taylor]: Taking taylor expansion of re in im 1.942 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.942 * [taylor]: Taking taylor expansion of -1 in im 1.942 * [taylor]: Taking taylor expansion of re in im 1.942 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.942 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.942 * [taylor]: Taking taylor expansion of -1 in im 1.942 * [taylor]: Taking taylor expansion of im in im 1.942 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.942 * [taylor]: Taking taylor expansion of -1 in im 1.942 * [taylor]: Taking taylor expansion of im in im 1.945 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.945 * [taylor]: Taking taylor expansion of im in im 1.946 * [taylor]: Taking taylor expansion of 2.0 in re 1.951 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 re))) in re 1.951 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 re)) in re 1.951 * [taylor]: Taking taylor expansion of 2.0 in re 1.951 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.951 * [taylor]: Taking taylor expansion of re in re 1.957 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow re 2))) in re 1.957 * [taylor]: Taking taylor expansion of 1.0 in re 1.957 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.957 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.957 * [taylor]: Taking taylor expansion of re in re 1.962 * * * [progress]: simplifying candidates 1.966 * [simplify]: Simplifying using # : (expm1 (/ (pow im 2) (- (hypot re im) re))) (log1p (/ (pow im 2) (- (hypot re im) re))) (- (* (log im) 2) (log (- (hypot re im) re))) (- (* (log im) 2) (log (- (hypot re im) re))) (- (log (pow im 2)) (log (- (hypot re im) re))) (log (/ (pow im 2) (- (hypot re im) re))) (exp (/ (pow im 2) (- (hypot re im) re))) (/ (* (* (pow im 2) (pow im 2)) (pow im 2)) (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re))) (* (cbrt (/ (pow im 2) (- (hypot re im) re))) (cbrt (/ (pow im 2) (- (hypot re im) re)))) (cbrt (/ (pow im 2) (- (hypot re im) re))) (* (* (/ (pow im 2) (- (hypot re im) re)) (/ (pow im 2) (- (hypot re im) re))) (/ (pow im 2) (- (hypot re im) re))) (sqrt (/ (pow im 2) (- (hypot re im) re))) (sqrt (/ (pow im 2) (- (hypot re im) re))) (- (pow im 2)) (- (- (hypot re im) re)) (/ (pow (* (cbrt im) (cbrt im)) 2) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))) (/ (pow (cbrt im) 2) (cbrt (- (hypot re im) re))) (/ (pow (* (cbrt im) (cbrt im)) 2) (sqrt (- (hypot re im) re))) (/ (pow (cbrt im) 2) (sqrt (- (hypot re im) re))) (/ (pow (* (cbrt im) (cbrt im)) 2) 1) (/ (pow (cbrt im) 2) (- (hypot re im) re)) (/ (pow (* (cbrt im) (cbrt im)) 2) (+ (sqrt (hypot re im)) (sqrt re))) (/ (pow (cbrt im) 2) (- (sqrt (hypot re im)) (sqrt re))) (/ (pow (* (cbrt im) (cbrt im)) 2) 1) (/ (pow (cbrt im) 2) (- (hypot re im) re)) (/ (pow (sqrt im) 2) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))) (/ (pow (sqrt im) 2) (cbrt (- (hypot re im) re))) (/ (pow (sqrt im) 2) (sqrt (- (hypot re im) re))) (/ (pow (sqrt im) 2) (sqrt (- (hypot re im) re))) (/ (pow (sqrt im) 2) 1) (/ (pow (sqrt im) 2) (- (hypot re im) re)) (/ (pow (sqrt im) 2) (+ (sqrt (hypot re im)) (sqrt re))) (/ (pow (sqrt im) 2) (- (sqrt (hypot re im)) (sqrt re))) (/ (pow (sqrt im) 2) 1) (/ (pow (sqrt im) 2) (- (hypot re im) re)) (/ (pow 1 2) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))) (/ (pow im 2) (cbrt (- (hypot re im) re))) (/ (pow 1 2) (sqrt (- (hypot re im) re))) (/ (pow im 2) (sqrt (- (hypot re im) re))) (/ (pow 1 2) 1) (/ (pow im 2) (- (hypot re im) re)) (/ (pow 1 2) (+ (sqrt (hypot re im)) (sqrt re))) (/ (pow im 2) (- (sqrt (hypot re im)) (sqrt re))) (/ (pow 1 2) 1) (/ (pow im 2) (- (hypot re im) re)) (/ im (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))) (/ im (cbrt (- (hypot re im) re))) (/ im (sqrt (- (hypot re im) re))) (/ im (sqrt (- (hypot re im) re))) (/ im 1) (/ im (- (hypot re im) re)) (/ im (+ (sqrt (hypot re im)) (sqrt re))) (/ im (- (sqrt (hypot re im)) (sqrt re))) (/ im 1) (/ im (- (hypot re im) re)) (/ (* (cbrt (pow im 2)) (cbrt (pow im 2))) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))) (/ (cbrt (pow im 2)) (cbrt (- (hypot re im) re))) (/ (* (cbrt (pow im 2)) (cbrt (pow im 2))) (sqrt (- (hypot re im) re))) (/ (cbrt (pow im 2)) (sqrt (- (hypot re im) re))) (/ (* (cbrt (pow im 2)) (cbrt (pow im 2))) 1) (/ (cbrt (pow im 2)) (- (hypot re im) re)) (/ (* (cbrt (pow im 2)) (cbrt (pow im 2))) (+ (sqrt (hypot re im)) (sqrt re))) (/ (cbrt (pow im 2)) (- (sqrt (hypot re im)) (sqrt re))) (/ (* (cbrt (pow im 2)) (cbrt (pow im 2))) 1) (/ (cbrt (pow im 2)) (- (hypot re im) re)) (/ (sqrt (pow im 2)) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))) (/ (sqrt (pow im 2)) (cbrt (- (hypot re im) re))) (/ (sqrt (pow im 2)) (sqrt (- (hypot re im) re))) (/ (sqrt (pow im 2)) (sqrt (- (hypot re im) re))) (/ (sqrt (pow im 2)) 1) (/ (sqrt (pow im 2)) (- (hypot re im) re)) (/ (sqrt (pow im 2)) (+ (sqrt (hypot re im)) (sqrt re))) (/ (sqrt (pow im 2)) (- (sqrt (hypot re im)) (sqrt re))) (/ (sqrt (pow im 2)) 1) (/ (sqrt (pow im 2)) (- (hypot re im) re)) (/ 1 (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))) (/ (pow im 2) (cbrt (- (hypot re im) re))) (/ 1 (sqrt (- (hypot re im) re))) (/ (pow im 2) (sqrt (- (hypot re im) re))) (/ 1 1) (/ (pow im 2) (- (hypot re im) re)) (/ 1 (+ (sqrt (hypot re im)) (sqrt re))) (/ (pow im 2) (- (sqrt (hypot re im)) (sqrt re))) (/ 1 1) (/ (pow im 2) (- (hypot re im) re)) (/ (pow im (/ 2 2)) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))) (/ (pow im (/ 2 2)) (cbrt (- (hypot re im) re))) (/ (pow im (/ 2 2)) (sqrt (- (hypot re im) re))) (/ (pow im (/ 2 2)) (sqrt (- (hypot re im) re))) (/ (pow im (/ 2 2)) 1) (/ (pow im (/ 2 2)) (- (hypot re im) re)) (/ (pow im (/ 2 2)) (+ (sqrt (hypot re im)) (sqrt re))) (/ (pow im (/ 2 2)) (- (sqrt (hypot re im)) (sqrt re))) (/ (pow im (/ 2 2)) 1) (/ (pow im (/ 2 2)) (- (hypot re im) re)) (/ 1 (- (hypot re im) re)) (/ (- (hypot re im) re) (pow im 2)) (/ (pow im 2) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))) (/ (pow im 2) (sqrt (- (hypot re im) re))) (/ (pow im 2) 1) (/ (pow im 2) (+ (sqrt (hypot re im)) (sqrt re))) (/ (pow im 2) 1) (/ (- (hypot re im) re) (pow (cbrt im) 2)) (/ (- (hypot re im) re) (pow (sqrt im) 2)) (/ (- (hypot re im) re) (pow im 2)) (/ (- (hypot re im) re) im) (/ (- (hypot re im) re) (cbrt (pow im 2))) (/ (- (hypot re im) re) (sqrt (pow im 2))) (/ (- (hypot re im) re) (pow im 2)) (/ (- (hypot re im) re) (pow im (/ 2 2))) (/ (pow im 2) (- (pow (hypot re im) 3) (pow re 3))) (/ (pow im 2) (- (* (hypot re im) (hypot re im)) (* re re))) (expm1 (sqrt (* 2.0 (/ (pow im 2) (- (hypot re im) re))))) (log1p (sqrt (* 2.0 (/ (pow im 2) (- (hypot re im) re))))) (log (sqrt (* 2.0 (/ (pow im 2) (- (hypot re im) re))))) (exp (sqrt (* 2.0 (/ (pow im 2) (- (hypot re im) re))))) (* (cbrt (sqrt (* 2.0 (/ (pow im 2) (- (hypot re im) re))))) (cbrt (sqrt (* 2.0 (/ (pow im 2) (- (hypot re im) re)))))) (cbrt (sqrt (* 2.0 (/ (pow im 2) (- (hypot re im) re))))) (* (* (sqrt (* 2.0 (/ (pow im 2) (- (hypot re im) re)))) (sqrt (* 2.0 (/ (pow im 2) (- (hypot re im) re))))) (sqrt (* 2.0 (/ (pow im 2) (- (hypot re im) re))))) (sqrt 2.0) (sqrt (/ (pow im 2) (- (hypot re im) re))) (sqrt (* 2.0 (pow im 2))) (sqrt (- (hypot re im) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (/ (pow im 2) (- (hypot re im) re))))) (sqrt (sqrt (* 2.0 (/ (pow im 2) (- (hypot re im) re))))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma 1 (hypot re im) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma 1 (hypot re im) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma 1 (hypot re im) (- (* re 1))) (fma (- re) 1 (* re 1)) (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (- re) (- re) (/ (exp (hypot re im)) (exp re)) (log (- (hypot re im) re)) (exp (- (hypot re im) re)) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (- (pow (hypot re im) 3) (pow re 3)) (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re))) (- re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- (hypot re im) re) (- re) (expm1 (* 2.0 (/ (pow im 2) (- (hypot re im) re)))) (log1p (* 2.0 (/ (pow im 2) (- (hypot re im) re)))) (* 2.0 (/ (pow im 2) (- (hypot re im) re))) (+ (log 2.0) (- (* (log im) 2) (log (- (hypot re im) re)))) (+ (log 2.0) (- (* (log im) 2) (log (- (hypot re im) re)))) (+ (log 2.0) (- (log (pow im 2)) (log (- (hypot re im) re)))) (+ (log 2.0) (log (/ (pow im 2) (- (hypot re im) re)))) (log (* 2.0 (/ (pow im 2) (- (hypot re im) re)))) (exp (* 2.0 (/ (pow im 2) (- (hypot re im) re)))) (* (* (* 2.0 2.0) 2.0) (/ (* (* (pow im 2) (pow im 2)) (pow im 2)) (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re)))) (* (* (* 2.0 2.0) 2.0) (* (* (/ (pow im 2) (- (hypot re im) re)) (/ (pow im 2) (- (hypot re im) re))) (/ (pow im 2) (- (hypot re im) re)))) (* (cbrt (* 2.0 (/ (pow im 2) (- (hypot re im) re)))) (cbrt (* 2.0 (/ (pow im 2) (- (hypot re im) re))))) (cbrt (* 2.0 (/ (pow im 2) (- (hypot re im) re)))) (* (* (* 2.0 (/ (pow im 2) (- (hypot re im) re))) (* 2.0 (/ (pow im 2) (- (hypot re im) re)))) (* 2.0 (/ (pow im 2) (- (hypot re im) re)))) (sqrt (* 2.0 (/ (pow im 2) (- (hypot re im) re)))) (sqrt (* 2.0 (/ (pow im 2) (- (hypot re im) re)))) (* (sqrt 2.0) (sqrt (/ (pow im 2) (- (hypot re im) re)))) (* (sqrt 2.0) (sqrt (/ (pow im 2) (- (hypot re im) re)))) (* (sqrt 2.0) (/ (pow (sqrt im) 2) (sqrt (- (hypot re im) re)))) (* (sqrt 2.0) (/ (pow (sqrt im) 2) (sqrt (- (hypot re im) re)))) (* (sqrt 2.0) (/ im (sqrt (- (hypot re im) re)))) (* (sqrt 2.0) (/ im (sqrt (- (hypot re im) re)))) (* (sqrt 2.0) (/ (sqrt (pow im 2)) (sqrt (- (hypot re im) re)))) (* (sqrt 2.0) (/ (sqrt (pow im 2)) (sqrt (- (hypot re im) re)))) (* (sqrt 2.0) (/ (pow im (/ 2 2)) (sqrt (- (hypot re im) re)))) (* (sqrt 2.0) (/ (pow im (/ 2 2)) (sqrt (- (hypot re im) re)))) (* 2.0 (* (cbrt (/ (pow im 2) (- (hypot re im) re))) (cbrt (/ (pow im 2) (- (hypot re im) re))))) (* 2.0 (sqrt (/ (pow im 2) (- (hypot re im) re)))) (* 2.0 (/ (pow (* (cbrt im) (cbrt im)) 2) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))))) (* 2.0 (/ (pow (* (cbrt im) (cbrt im)) 2) (sqrt (- (hypot re im) re)))) (* 2.0 (/ (pow (* (cbrt im) (cbrt im)) 2) 1)) (* 2.0 (/ (pow (* (cbrt im) (cbrt im)) 2) (+ (sqrt (hypot re im)) (sqrt re)))) (* 2.0 (/ (pow (* (cbrt im) (cbrt im)) 2) 1)) (* 2.0 (/ (pow (sqrt im) 2) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))))) (* 2.0 (/ (pow (sqrt im) 2) (sqrt (- (hypot re im) re)))) (* 2.0 (/ (pow (sqrt im) 2) 1)) (* 2.0 (/ (pow (sqrt im) 2) (+ (sqrt (hypot re im)) (sqrt re)))) (* 2.0 (/ (pow (sqrt im) 2) 1)) (* 2.0 (/ (pow 1 2) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))))) (* 2.0 (/ (pow 1 2) (sqrt (- (hypot re im) re)))) (* 2.0 (/ (pow 1 2) 1)) (* 2.0 (/ (pow 1 2) (+ (sqrt (hypot re im)) (sqrt re)))) (* 2.0 (/ (pow 1 2) 1)) (* 2.0 (/ im (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))))) (* 2.0 (/ im (sqrt (- (hypot re im) re)))) (* 2.0 (/ im 1)) (* 2.0 (/ im (+ (sqrt (hypot re im)) (sqrt re)))) (* 2.0 (/ im 1)) (* 2.0 (/ (* (cbrt (pow im 2)) (cbrt (pow im 2))) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))))) (* 2.0 (/ (* (cbrt (pow im 2)) (cbrt (pow im 2))) (sqrt (- (hypot re im) re)))) (* 2.0 (/ (* (cbrt (pow im 2)) (cbrt (pow im 2))) 1)) (* 2.0 (/ (* (cbrt (pow im 2)) (cbrt (pow im 2))) (+ (sqrt (hypot re im)) (sqrt re)))) (* 2.0 (/ (* (cbrt (pow im 2)) (cbrt (pow im 2))) 1)) (* 2.0 (/ (sqrt (pow im 2)) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))))) (* 2.0 (/ (sqrt (pow im 2)) (sqrt (- (hypot re im) re)))) (* 2.0 (/ (sqrt (pow im 2)) 1)) (* 2.0 (/ (sqrt (pow im 2)) (+ (sqrt (hypot re im)) (sqrt re)))) (* 2.0 (/ (sqrt (pow im 2)) 1)) (* 2.0 (/ 1 (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))))) (* 2.0 (/ 1 (sqrt (- (hypot re im) re)))) (* 2.0 (/ 1 1)) (* 2.0 (/ 1 (+ (sqrt (hypot re im)) (sqrt re)))) (* 2.0 (/ 1 1)) (* 2.0 (/ (pow im (/ 2 2)) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))))) (* 2.0 (/ (pow im (/ 2 2)) (sqrt (- (hypot re im) re)))) (* 2.0 (/ (pow im (/ 2 2)) 1)) (* 2.0 (/ (pow im (/ 2 2)) (+ (sqrt (hypot re im)) (sqrt re)))) (* 2.0 (/ (pow im (/ 2 2)) 1)) (* 2.0 1) (* 2.0 (pow im 2)) (* 2.0 (/ (pow im 2) (- (pow (hypot re im) 3) (pow re 3)))) (* 2.0 (/ (pow im 2) (- (* (hypot re im) (hypot re im)) (* re re)))) (* (cbrt 2.0) (/ (pow im 2) (- (hypot re im) re))) (* (sqrt 2.0) (/ (pow im 2) (- (hypot re im) re))) (* 2.0 (/ (pow im 2) (- (hypot re im) re))) (* 2.0 (pow im 2)) (* 2 re) (+ re im) 0 (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) re))) (- (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) (pow re 2))))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) im)) (- (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2)))))))) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (sqrt 2.0))))))) (- im re) 0 (* -2 re) (* 4.0 re) (+ (* 2.0 re) (* 2.0 im)) 0 1.975 * * [simplify]: iteration 0 : 638 enodes (cost 1437 ) 1.987 * * [simplify]: iteration 1 : 2858 enodes (cost 1201 ) 2.033 * * [simplify]: iteration 2 : 5002 enodes (cost 1192 ) 2.040 * [simplify]: Simplified to: (expm1 (/ (pow im 2) (- (hypot re im) re))) (log1p (/ (pow im 2) (- (hypot re im) re))) (log (/ (pow im 2) (- (hypot re im) re))) (log (/ (pow im 2) (- (hypot re im) re))) (log (/ (pow im 2) (- (hypot re im) re))) (log (/ (pow im 2) (- (hypot re im) re))) (exp (/ (pow im 2) (- (hypot re im) re))) (pow (/ (pow im 2) (- (hypot re im) re)) 3) (* (cbrt (/ (pow im 2) (- (hypot re im) re))) (cbrt (/ (pow im 2) (- (hypot re im) re)))) (cbrt (/ (pow im 2) (- (hypot re im) re))) (pow (/ (pow im 2) (- (hypot re im) re)) 3) (sqrt (/ (pow im 2) (- (hypot re im) re))) (sqrt (/ (pow im 2) (- (hypot re im) re))) (- (pow im 2)) (- (- (hypot re im) re)) (/ (pow (cbrt im) 4) (* (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) 1)) (/ (pow (cbrt im) 2) (cbrt (- (hypot re im) re))) (/ (pow (cbrt im) 4) (* (sqrt (- (hypot re im) re)) 1)) (/ (pow (cbrt im) 2) (sqrt (- (hypot re im) re))) (pow (cbrt im) 4) (/ (pow (cbrt im) 2) (- (hypot re im) re)) (/ (pow (cbrt im) 4) (* (+ (sqrt (hypot re im)) (sqrt re)) 1)) (/ (pow (cbrt im) 2) (- (sqrt (hypot re im)) (sqrt re))) (pow (cbrt im) 4) (/ (pow (cbrt im) 2) (- (hypot re im) re)) (/ im (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))) (/ im (cbrt (- (hypot re im) re))) (/ im (sqrt (- (hypot re im) re))) (/ im (sqrt (- (hypot re im) re))) im (/ im (- (hypot re im) re)) (/ im (+ (sqrt (hypot re im)) (sqrt re))) (/ im (- (sqrt (hypot re im)) (sqrt re))) im (/ im (- (hypot re im) re)) (/ 1 (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))) (/ (pow im 2) (cbrt (- (hypot re im) re))) (/ 1 (sqrt (- (hypot re im) re))) (/ (pow im 2) (sqrt (- (hypot re im) re))) 1 (/ (pow im 2) (- (hypot re im) re)) (/ 1 (+ (sqrt (hypot re im)) (sqrt re))) (/ (pow im 2) (- (sqrt (hypot re im)) (sqrt re))) 1 (/ (pow im 2) (- (hypot re im) re)) (/ im (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))) (/ im (cbrt (- (hypot re im) re))) (/ im (sqrt (- (hypot re im) re))) (/ im (sqrt (- (hypot re im) re))) im (/ im (- (hypot re im) re)) (/ im (+ (sqrt (hypot re im)) (sqrt re))) (/ im (- (sqrt (hypot re im)) (sqrt re))) im (/ im (- (hypot re im) re)) (/ (* (cbrt (pow im 2)) (cbrt (pow im 2))) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))) (/ (cbrt (pow im 2)) (cbrt (- (hypot re im) re))) (/ (* (cbrt (pow im 2)) (cbrt (pow im 2))) (sqrt (- (hypot re im) re))) (/ (cbrt (pow im 2)) (sqrt (- (hypot re im) re))) (* (cbrt (pow im 2)) (cbrt (pow im 2))) (/ (cbrt (pow im 2)) (- (hypot re im) re)) (/ (* (cbrt (pow im 2)) (cbrt (pow im 2))) (+ (sqrt (hypot re im)) (sqrt re))) (/ (cbrt (pow im 2)) (- (sqrt (hypot re im)) (sqrt re))) (* (cbrt (pow im 2)) (cbrt (pow im 2))) (/ (cbrt (pow im 2)) (- (hypot re im) re)) (/ (/ (fabs im) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re))) (/ (fabs im) (cbrt (- (hypot re im) re))) (/ (fabs im) (sqrt (- (hypot re im) re))) (/ (fabs im) (sqrt (- (hypot re im) re))) (fabs im) (/ (fabs im) (- (hypot re im) re)) (/ (fabs im) (+ (sqrt (hypot re im)) (sqrt re))) (/ (fabs im) (- (sqrt (hypot re im)) (sqrt re))) (fabs im) (/ (fabs im) (- (hypot re im) re)) (/ 1 (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))) (/ (pow im 2) (cbrt (- (hypot re im) re))) (/ 1 (sqrt (- (hypot re im) re))) (/ (pow im 2) (sqrt (- (hypot re im) re))) 1 (/ (pow im 2) (- (hypot re im) re)) (/ 1 (+ (sqrt (hypot re im)) (sqrt re))) (/ (pow im 2) (- (sqrt (hypot re im)) (sqrt re))) 1 (/ (pow im 2) (- (hypot re im) re)) (/ im (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))) (/ im (cbrt (- (hypot re im) re))) (/ im (sqrt (- (hypot re im) re))) (/ im (sqrt (- (hypot re im) re))) im (/ im (- (hypot re im) re)) (/ im (+ (sqrt (hypot re im)) (sqrt re))) (/ im (- (sqrt (hypot re im)) (sqrt re))) im (/ im (- (hypot re im) re)) (/ 1 (- (hypot re im) re)) (/ (- (hypot re im) re) (pow im 2)) (/ (pow im 2) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))) (/ (pow im 2) (sqrt (- (hypot re im) re))) (pow im 2) (/ (pow im 2) (+ (sqrt (hypot re im)) (sqrt re))) (pow im 2) (/ (- (hypot re im) re) (pow (cbrt im) 2)) (/ (- (hypot re im) re) im) (/ (- (hypot re im) re) (pow im 2)) (/ (- (hypot re im) re) im) (/ (- (hypot re im) re) (cbrt (pow im 2))) (/ (- (hypot re im) re) (fabs im)) (/ (- (hypot re im) re) (pow im 2)) (/ (- (hypot re im) re) im) (/ (pow im 2) (- (pow (hypot re im) 3) (pow re 3))) (/ (pow im 2) (- (* (hypot re im) (hypot re im)) (* re re))) (expm1 (sqrt (* 2.0 (/ (pow im 2) (- (hypot re im) re))))) (log1p (sqrt (* 2.0 (/ (pow im 2) (- (hypot re im) re))))) (log (sqrt (* 2.0 (/ (pow im 2) (- (hypot re im) re))))) (exp (sqrt (* 2.0 (/ (pow im 2) (- (hypot re im) re))))) (* (cbrt (sqrt (* 2.0 (/ (pow im 2) (- (hypot re im) re))))) (cbrt (sqrt (* 2.0 (/ (pow im 2) (- (hypot re im) re)))))) (cbrt (sqrt (* 2.0 (/ (pow im 2) (- (hypot re im) re))))) (pow (sqrt (* 2.0 (/ (pow im 2) (- (hypot re im) re)))) 3) (sqrt 2.0) (sqrt (/ (pow im 2) (- (hypot re im) re))) (sqrt (* 2.0 (pow im 2))) (sqrt (- (hypot re im) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (/ (pow im 2) (- (hypot re im) re))))) (sqrt (sqrt (* 2.0 (/ (pow im 2) (- (hypot re im) re))))) (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (fma (- re) 1 re) (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (fma (- re) 1 re) (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (- re) (- re) (exp (- (hypot re im) re)) (log (- (hypot re im) re)) (exp (- (hypot re im) re)) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (pow (- (hypot re im) re) 3) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (- (pow (hypot re im) 3) (pow re 3)) (fma (hypot re im) (hypot re im) (fma re re (* (hypot re im) re))) (- re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- (hypot re im) re) (- re) (expm1 (* 2.0 (/ (pow im 2) (- (hypot re im) re)))) (log1p (* 2.0 (/ (pow im 2) (- (hypot re im) re)))) (* 2.0 (/ (pow im 2) (- (hypot re im) re))) (log (* 2.0 (/ (pow im 2) (- (hypot re im) re)))) (log (* 2.0 (/ (pow im 2) (- (hypot re im) re)))) (log (* 2.0 (/ (pow im 2) (- (hypot re im) re)))) (log (* 2.0 (/ (pow im 2) (- (hypot re im) re)))) (log (* 2.0 (/ (pow im 2) (- (hypot re im) re)))) (exp (* 2.0 (/ (pow im 2) (- (hypot re im) re)))) (pow (* 2.0 (/ (pow im 2) (- (hypot re im) re))) 3) (pow (* 2.0 (/ (pow im 2) (- (hypot re im) re))) 3) (* (cbrt (* 2.0 (/ (pow im 2) (- (hypot re im) re)))) (cbrt (* 2.0 (/ (pow im 2) (- (hypot re im) re))))) (cbrt (* 2.0 (/ (pow im 2) (- (hypot re im) re)))) (pow (* 2.0 (/ (pow im 2) (- (hypot re im) re))) 3) (sqrt (* 2.0 (/ (pow im 2) (- (hypot re im) re)))) (sqrt (* 2.0 (/ (pow im 2) (- (hypot re im) re)))) (* (sqrt 2.0) (sqrt (/ (pow im 2) (- (hypot re im) re)))) (* (sqrt 2.0) (sqrt (/ (pow im 2) (- (hypot re im) re)))) (* (sqrt 2.0) (/ im (sqrt (- (hypot re im) re)))) (* (sqrt 2.0) (/ im (sqrt (- (hypot re im) re)))) (* (sqrt 2.0) (/ im (sqrt (- (hypot re im) re)))) (* (sqrt 2.0) (/ im (sqrt (- (hypot re im) re)))) (/ (* (sqrt 2.0) (fabs im)) (sqrt (- (hypot re im) re))) (/ (* (sqrt 2.0) (fabs im)) (sqrt (- (hypot re im) re))) (* (sqrt 2.0) (/ im (sqrt (- (hypot re im) re)))) (* (sqrt 2.0) (/ im (sqrt (- (hypot re im) re)))) (* 2.0 (* (cbrt (/ (pow im 2) (- (hypot re im) re))) (cbrt (/ (pow im 2) (- (hypot re im) re))))) (* 2.0 (sqrt (/ (pow im 2) (- (hypot re im) re)))) (/ (* 2.0 (pow (cbrt im) 4)) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))) (/ (* 2.0 (pow (cbrt im) 4)) (sqrt (- (hypot re im) re))) (* (pow (cbrt im) 4) 2.0) (/ (* 2.0 (pow (cbrt im) 4)) (+ (sqrt (hypot re im)) (sqrt re))) (* (pow (cbrt im) 4) 2.0) (* 2.0 (/ im (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))))) (* 2.0 (/ im (sqrt (- (hypot re im) re)))) (* im 2.0) (* 2.0 (/ im (+ (sqrt (hypot re im)) (sqrt re)))) (* im 2.0) (/ 2.0 (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))) (/ 2.0 (sqrt (- (hypot re im) re))) 2.0 (/ 2.0 (+ (sqrt (hypot re im)) (sqrt re))) 2.0 (* 2.0 (/ im (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))))) (* 2.0 (/ im (sqrt (- (hypot re im) re)))) (* im 2.0) (* 2.0 (/ im (+ (sqrt (hypot re im)) (sqrt re)))) (* im 2.0) (* 2.0 (/ (* (cbrt (pow im 2)) (cbrt (pow im 2))) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))))) (* 2.0 (/ (* (cbrt (pow im 2)) (cbrt (pow im 2))) (sqrt (- (hypot re im) re)))) (* (* (cbrt (pow im 2)) (cbrt (pow im 2))) 2.0) (* 2.0 (/ (* (cbrt (pow im 2)) (cbrt (pow im 2))) (+ (sqrt (hypot re im)) (sqrt re)))) (* (* (cbrt (pow im 2)) (cbrt (pow im 2))) 2.0) (* (/ 2.0 (cbrt (- (hypot re im) re))) (/ (fabs im) (cbrt (- (hypot re im) re)))) (/ (* 2.0 (fabs im)) (sqrt (- (hypot re im) re))) (* (fabs im) 2.0) (/ (* 2.0 (fabs im)) (+ (sqrt (hypot re im)) (sqrt re))) (* (fabs im) 2.0) (/ 2.0 (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))) (/ 2.0 (sqrt (- (hypot re im) re))) 2.0 (/ 2.0 (+ (sqrt (hypot re im)) (sqrt re))) 2.0 (* 2.0 (/ im (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))))) (* 2.0 (/ im (sqrt (- (hypot re im) re)))) (* im 2.0) (* 2.0 (/ im (+ (sqrt (hypot re im)) (sqrt re)))) (* im 2.0) 2.0 (* 2.0 (pow im 2)) (* 2.0 (/ (pow im 2) (- (pow (hypot re im) 3) (pow re 3)))) (* 2.0 (/ (pow im 2) (- (* (hypot re im) (hypot re im)) (* re re)))) (* (cbrt 2.0) (/ (pow im 2) (- (hypot re im) re))) (* (sqrt 2.0) (/ (pow im 2) (- (hypot re im) re))) (* 2.0 (/ (pow im 2) (- (hypot re im) re))) (* 2.0 (pow im 2)) (* 2 re) (+ re im) 0 (fma (- +nan.0) (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2)) (* (* +nan.0 (sqrt 2.0)) (- (* (sqrt 2) re) (* (sqrt 2) (pow re 2))))) (fma (- +nan.0) (sqrt 2.0) (* +nan.0 (- (/ (* (sqrt 2.0) re) im) (/ (* (sqrt 2.0) re) (pow im 2))))) (fma (- +nan.0) (/ (sqrt 2.0) (pow im 2)) (* +nan.0 (- (/ (sqrt 2.0) im) (sqrt 2.0)))) (- im re) 0 (* -2 re) (* 4.0 re) (fma 2.0 re (* 2.0 im)) 0 2.041 * * * [progress]: adding candidates to table 2.507 * [progress]: [Phase 3 of 3] Extracting. 2.508 * * [regime]: Finding splitpoints for: (# # # # # #) 2.509 * * * [regime-changes]: Trying 2 branch expressions: (im re) 2.509 * * * * [regimes]: Trying to branch on im from (# # # # # #) 2.572 * * * * [regimes]: Trying to branch on re from (# # # # # #) 2.604 * * * [regime]: Found split indices: #