2.766 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.045 * * * [progress]: [2/2] Setting up program. 0.048 * [progress]: [Phase 2 of 3] Improving. 0.048 * [simplify]: Simplifying using # : (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.050 * * [simplify]: iteration 0 : 19 enodes (cost 8 ) 0.051 * * [simplify]: iteration 1 : 28 enodes (cost 8 ) 0.053 * * [simplify]: iteration 2 : 36 enodes (cost 8 ) 0.054 * * [simplify]: iteration 3 : 44 enodes (cost 8 ) 0.055 * * [simplify]: iteration 4 : 46 enodes (cost 8 ) 0.057 * * [simplify]: iteration 5 : 46 enodes (cost 8 ) 0.057 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.057 * * [progress]: iteration 1 / 4 0.057 * * * [progress]: picking best candidate 0.060 * * * * [pick]: Picked # 0.060 * * * [progress]: localizing error 0.070 * * * [progress]: generating rewritten candidates 0.070 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.073 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.096 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 2 1 1) 0.101 * * * [progress]: generating series expansions 0.101 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.101 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.101 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.101 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.101 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.102 * [taylor]: Taking taylor expansion of re in im 0.102 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.102 * [taylor]: Taking taylor expansion of im in im 0.102 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.102 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.102 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.102 * [taylor]: Taking taylor expansion of re in re 0.102 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.103 * [taylor]: Taking taylor expansion of im in re 0.103 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.103 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.103 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.103 * [taylor]: Taking taylor expansion of re in re 0.103 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.103 * [taylor]: Taking taylor expansion of im in re 0.104 * [taylor]: Taking taylor expansion of im in im 0.104 * [taylor]: Taking taylor expansion of 0 in im 0.105 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.105 * [taylor]: Taking taylor expansion of 1/2 in im 0.105 * [taylor]: Taking taylor expansion of im in im 0.107 * [taylor]: Taking taylor expansion of 0 in im 0.108 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.108 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.108 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.108 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.108 * [taylor]: Taking taylor expansion of im in im 0.109 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.109 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.109 * [taylor]: Taking taylor expansion of re in im 0.111 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.111 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) 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 (/ 1 (pow re 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 0.117 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.117 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.117 * [taylor]: Taking taylor expansion of im in re 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.117 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.117 * [taylor]: Taking taylor expansion of re in re 0.119 * [taylor]: Taking taylor expansion of 1 in im 0.119 * [taylor]: Taking taylor expansion of 0 in im 0.121 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.121 * [taylor]: Taking taylor expansion of 1/2 in im 0.121 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.121 * [taylor]: Taking taylor expansion of im in im 0.125 * [taylor]: Taking taylor expansion of 0 in im 0.126 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.126 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.126 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.126 * [taylor]: Taking taylor expansion of im in im 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.127 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.127 * [taylor]: Taking taylor expansion of re in im 0.129 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.129 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.129 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.129 * [taylor]: Taking taylor expansion of im in re 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.129 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.129 * [taylor]: Taking taylor expansion of re in re 0.131 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.131 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.131 * [taylor]: Taking taylor expansion of im in re 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.131 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.131 * [taylor]: Taking taylor expansion of re in re 0.134 * [taylor]: Taking taylor expansion of 1 in im 0.134 * [taylor]: Taking taylor expansion of 0 in im 0.136 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.136 * [taylor]: Taking taylor expansion of 1/2 in im 0.136 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.136 * [taylor]: Taking taylor expansion of im in im 0.139 * [taylor]: Taking taylor expansion of 0 in im 0.140 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 0.140 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 0.140 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.140 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.140 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.140 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.140 * [taylor]: Taking taylor expansion of re in im 0.140 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.140 * [taylor]: Taking taylor expansion of im in im 0.141 * [taylor]: Taking taylor expansion of re in im 0.141 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.141 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.141 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 0.141 * [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 re in re 0.141 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.141 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.141 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 0.141 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.141 * [taylor]: Taking taylor expansion of im in re 0.142 * [taylor]: Taking taylor expansion of re in re 0.142 * [taylor]: Taking taylor expansion of im in im 0.143 * [taylor]: Taking taylor expansion of -1 in im 0.144 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.144 * [taylor]: Taking taylor expansion of 1/2 in im 0.144 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.144 * [taylor]: Taking taylor expansion of im in im 0.147 * [taylor]: Taking taylor expansion of 0 in im 0.148 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.148 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.148 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 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 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.149 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.149 * [taylor]: Taking taylor expansion of re in im 0.151 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.151 * [taylor]: Taking taylor expansion of re in im 0.151 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.151 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.151 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.151 * [taylor]: Taking taylor expansion of im in re 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.151 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.151 * [taylor]: Taking taylor expansion of re in re 0.153 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.153 * [taylor]: Taking taylor expansion of re in re 0.154 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.154 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) 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 (/ 1 (pow re 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 0.156 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.156 * [taylor]: Taking taylor expansion of re in re 0.157 * [taylor]: Taking taylor expansion of 0 in im 0.158 * [taylor]: Taking taylor expansion of 0 in im 0.161 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.161 * [taylor]: Taking taylor expansion of 1/2 in im 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.161 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.161 * [taylor]: Taking taylor expansion of im in im 0.165 * [taylor]: Taking taylor expansion of 0 in im 0.167 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.167 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.167 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.167 * [taylor]: Taking taylor expansion of re in im 0.167 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.167 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.167 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.167 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.167 * [taylor]: Taking taylor expansion of im in im 0.167 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.167 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.167 * [taylor]: Taking taylor expansion of re in im 0.169 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.169 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.169 * [taylor]: Taking taylor expansion of re in re 0.170 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.170 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.170 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.170 * [taylor]: Taking taylor expansion of im in re 0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.170 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.170 * [taylor]: Taking taylor expansion of re in re 0.172 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.172 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.172 * [taylor]: Taking taylor expansion of re in re 0.172 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.172 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.172 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.172 * [taylor]: Taking taylor expansion of im in re 0.173 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.173 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.173 * [taylor]: Taking taylor expansion of re in re 0.175 * [taylor]: Taking taylor expansion of 2 in im 0.176 * [taylor]: Taking taylor expansion of 0 in im 0.179 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.179 * [taylor]: Taking taylor expansion of 1/2 in im 0.179 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.179 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.179 * [taylor]: Taking taylor expansion of im in im 0.183 * [taylor]: Taking taylor expansion of 0 in im 0.185 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 2 1 1) 0.185 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.185 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.185 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.185 * [taylor]: Taking taylor expansion of re in im 0.185 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.185 * [taylor]: Taking taylor expansion of im in im 0.185 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.185 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.185 * [taylor]: Taking taylor expansion of re in re 0.185 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.185 * [taylor]: Taking taylor expansion of im in re 0.185 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.185 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.185 * [taylor]: Taking taylor expansion of re in re 0.185 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.185 * [taylor]: Taking taylor expansion of im in re 0.185 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.185 * [taylor]: Taking taylor expansion of im in im 0.186 * [taylor]: Taking taylor expansion of 0 in im 0.186 * [taylor]: Taking taylor expansion of 1 in im 0.188 * [taylor]: Taking taylor expansion of 0 in im 0.189 * [taylor]: Taking taylor expansion of 0 in im 0.190 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.190 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.190 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.190 * [taylor]: Taking taylor expansion of im in im 0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.190 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.190 * [taylor]: Taking taylor expansion of re in im 0.191 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.191 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.191 * [taylor]: Taking taylor expansion of im in re 0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.191 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.191 * [taylor]: Taking taylor expansion of re in re 0.191 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.191 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.191 * [taylor]: Taking taylor expansion of im in re 0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.191 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.191 * [taylor]: Taking taylor expansion of re in re 0.192 * [taylor]: Taking taylor expansion of 1 in im 0.193 * [taylor]: Taking taylor expansion of 0 in im 0.194 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.194 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.194 * [taylor]: Taking taylor expansion of im in im 0.196 * [taylor]: Taking taylor expansion of 0 in im 0.201 * [taylor]: Taking taylor expansion of 0 in im 0.203 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.203 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.203 * [taylor]: Taking taylor expansion of im in im 0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.203 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.204 * [taylor]: Taking taylor expansion of re in im 0.204 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.204 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.204 * [taylor]: Taking taylor expansion of im in re 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.204 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.204 * [taylor]: Taking taylor expansion of re in re 0.204 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.204 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.204 * [taylor]: Taking taylor expansion of im in re 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.205 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.205 * [taylor]: Taking taylor expansion of re in re 0.205 * [taylor]: Taking taylor expansion of 1 in im 0.206 * [taylor]: Taking taylor expansion of 0 in im 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.207 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.207 * [taylor]: Taking taylor expansion of im in im 0.209 * [taylor]: Taking taylor expansion of 0 in im 0.212 * [taylor]: Taking taylor expansion of 0 in im 0.213 * * * [progress]: simplifying candidates 0.214 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (fma (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt 1) (sqrt (+ (* re re) (* im im))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt 1) (sqrt (+ (* re re) (* im im))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt 1) (sqrt (+ (* re re) (* im im))) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma 1 (sqrt (+ (* re re) (* im im))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma 1 (sqrt (+ (* re re) (* im im))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma 1 (sqrt (+ (* re re) (* im im))) (- (* re 1))) (fma (- re) 1 (* re 1)) (expm1 (- (sqrt (+ (* re re) (* im im))) re)) (log1p (- (sqrt (+ (* re re) (* im im))) re)) (- re) (- re) (- re) (- re) (- re) (- re) (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- re) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (- re) (expm1 (+ (* re re) (* im im))) (log1p (+ (* re re) (* im im))) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) im re (* -1 re) (- im re) 0 (* -2 re) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 0.219 * * [simplify]: iteration 0 : 250 enodes (cost 664 ) 0.224 * * [simplify]: iteration 1 : 1037 enodes (cost 430 ) 0.248 * * [simplify]: iteration 2 : 5002 enodes (cost 381 ) 0.250 * [simplify]: Simplified to: (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (pow (exp 1) (hypot re im)) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (hypot re im) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (hypot re im) (hypot (pow im 3) (pow re 3)) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) 0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) 0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) 0 (fma (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))) (* -1 re)) 0 (fma (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))) (* -1 re)) 0 (fma (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))) (* -1 re)) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (expm1 (- (sqrt (+ (* re re) (* im im))) re)) (log1p (- (sqrt (+ (* re re) (* im im))) re)) (* -1 re) (* -1 re) (* -1 re) (* -1 re) (* -1 re) (* -1 re) (exp (- (hypot re im) re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (hypot re im) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (pow (- (hypot re im) re) 3) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (+ (- (pow re 3)) (pow (hypot re im) 3)) (fma re (+ re (hypot re im)) (fma re re (* im im))) (* -1 re) (+ (pow im 2) 0) (+ re (hypot re im)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (hypot re im) re) (* -1 re) (expm1 (+ (* re re) (* im im))) (log1p (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (pow (hypot re im) 6) (hypot re im) (hypot re im) (fma (* (pow im 4) im) im (pow re 6)) (fma im (- (pow im 3) (* (pow re 2) im)) (pow re 4)) (fma (- (pow im 3)) im (pow re 4)) (- (* re re) (* im im)) im re (* -1 re) (- im re) 0 (* -2 re) (fma re re (* im im)) (fma re re (* im im)) (fma re re (* im im)) 0.251 * * * [progress]: adding candidates to table 0.426 * * [progress]: iteration 2 / 4 0.426 * * * [progress]: picking best candidate 0.433 * * * * [pick]: Picked # 0.433 * * * [progress]: localizing error 0.442 * * * [progress]: generating rewritten candidates 0.442 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2 1 2) 0.446 * * * [progress]: generating series expansions 0.446 * * * * [progress]: [ 1 / 1 ] generating series at (2 2 1 2) 0.446 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 0.446 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 0.446 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.447 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.447 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.447 * [taylor]: Taking taylor expansion of (* re re) in im 0.447 * [taylor]: Taking taylor expansion of re in im 0.447 * [taylor]: Taking taylor expansion of re in im 0.447 * [taylor]: Taking taylor expansion of (* im im) in im 0.447 * [taylor]: Taking taylor expansion of im in im 0.447 * [taylor]: Taking taylor expansion of im in im 0.449 * [taylor]: Taking taylor expansion of re in im 0.449 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.449 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.449 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.449 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.449 * [taylor]: Taking taylor expansion of (* re re) in re 0.449 * [taylor]: Taking taylor expansion of re in re 0.449 * [taylor]: Taking taylor expansion of re in re 0.449 * [taylor]: Taking taylor expansion of (* im im) in re 0.449 * [taylor]: Taking taylor expansion of im in re 0.449 * [taylor]: Taking taylor expansion of im in re 0.450 * [taylor]: Taking taylor expansion of re in re 0.450 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.450 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.450 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.450 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.450 * [taylor]: Taking taylor expansion of (* re re) in re 0.450 * [taylor]: Taking taylor expansion of re in re 0.450 * [taylor]: Taking taylor expansion of re in re 0.450 * [taylor]: Taking taylor expansion of (* im im) in re 0.450 * [taylor]: Taking taylor expansion of im in re 0.451 * [taylor]: Taking taylor expansion of im in re 0.452 * [taylor]: Taking taylor expansion of re in re 0.452 * [taylor]: Taking taylor expansion of im in im 0.452 * [taylor]: Taking taylor expansion of -1 in im 0.454 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.454 * [taylor]: Taking taylor expansion of 1/2 in im 0.454 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.454 * [taylor]: Taking taylor expansion of im in im 0.457 * [taylor]: Taking taylor expansion of 0 in im 0.458 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 0.458 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.458 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.458 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.458 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.458 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.458 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.458 * [taylor]: Taking taylor expansion of re in im 0.458 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.458 * [taylor]: Taking taylor expansion of re in im 0.458 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.458 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.458 * [taylor]: Taking taylor expansion of im in im 0.459 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.459 * [taylor]: Taking taylor expansion of im in im 0.461 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.461 * [taylor]: Taking taylor expansion of re in im 0.461 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.461 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.462 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.462 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.462 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.462 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.462 * [taylor]: Taking taylor expansion of re in re 0.462 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.462 * [taylor]: Taking taylor expansion of re in re 0.462 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.462 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.462 * [taylor]: Taking taylor expansion of im in re 0.462 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.462 * [taylor]: Taking taylor expansion of im in re 0.465 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.465 * [taylor]: Taking taylor expansion of re in re 0.465 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.465 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 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 re 0.465 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.465 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.465 * [taylor]: Taking taylor expansion of re in re 0.465 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.466 * [taylor]: Taking taylor expansion of re in re 0.466 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.466 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.466 * [taylor]: Taking taylor expansion of im in re 0.466 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.466 * [taylor]: Taking taylor expansion of im in re 0.468 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.468 * [taylor]: Taking taylor expansion of re in re 0.469 * [taylor]: Taking taylor expansion of 0 in im 0.470 * [taylor]: Taking taylor expansion of 0 in im 0.477 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.477 * [taylor]: Taking taylor expansion of 1/2 in im 0.477 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.478 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.478 * [taylor]: Taking taylor expansion of im in im 0.482 * [taylor]: Taking taylor expansion of 0 in im 0.484 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 0.484 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 0.484 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.484 * [taylor]: Taking taylor expansion of re in im 0.484 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.484 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.484 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.484 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.484 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.484 * [taylor]: Taking taylor expansion of -1 in im 0.484 * [taylor]: Taking taylor expansion of re in im 0.484 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.484 * [taylor]: Taking taylor expansion of -1 in im 0.484 * [taylor]: Taking taylor expansion of re in im 0.484 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.484 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.484 * [taylor]: Taking taylor expansion of -1 in im 0.485 * [taylor]: Taking taylor expansion of im in im 0.485 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.485 * [taylor]: Taking taylor expansion of -1 in im 0.485 * [taylor]: Taking taylor expansion of im in im 0.488 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.488 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.488 * [taylor]: Taking taylor expansion of re in re 0.488 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.488 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.488 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.488 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.488 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.488 * [taylor]: Taking taylor expansion of -1 in re 0.488 * [taylor]: Taking taylor expansion of re in re 0.488 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.488 * [taylor]: Taking taylor expansion of -1 in re 0.488 * [taylor]: Taking taylor expansion of re in re 0.489 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.489 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.489 * [taylor]: Taking taylor expansion of -1 in re 0.489 * [taylor]: Taking taylor expansion of im in re 0.489 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.489 * [taylor]: Taking taylor expansion of -1 in re 0.489 * [taylor]: Taking taylor expansion of im in re 0.491 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.491 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.491 * [taylor]: Taking taylor expansion of re in re 0.492 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.492 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.492 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.492 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.492 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.492 * [taylor]: Taking taylor expansion of -1 in re 0.492 * [taylor]: Taking taylor expansion of re in re 0.492 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.492 * [taylor]: Taking taylor expansion of -1 in re 0.492 * [taylor]: Taking taylor expansion of re in re 0.493 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.493 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.493 * [taylor]: Taking taylor expansion of -1 in re 0.493 * [taylor]: Taking taylor expansion of im in re 0.493 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.493 * [taylor]: Taking taylor expansion of -1 in re 0.493 * [taylor]: Taking taylor expansion of im in re 0.495 * [taylor]: Taking taylor expansion of 2 in im 0.496 * [taylor]: Taking taylor expansion of 0 in im 0.499 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.500 * [taylor]: Taking taylor expansion of 1/2 in im 0.500 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.500 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.500 * [taylor]: Taking taylor expansion of im in im 0.504 * [taylor]: Taking taylor expansion of 0 in im 0.506 * * * [progress]: simplifying candidates 0.506 * [simplify]: Simplifying using # : (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 (- (* 1 (hypot re im)) re)) (log1p (- (* 1 (hypot re im)) re)) (- 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))) (- re) (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re)) (+ (* 1 (hypot re im)) re) (- (hypot re im) re) (- re) (- im re) 0 (* -2 re) 0.509 * * [simplify]: iteration 0 : 117 enodes (cost 109 ) 0.512 * * [simplify]: iteration 1 : 346 enodes (cost 79 ) 0.520 * * [simplify]: iteration 2 : 1545 enodes (cost 76 ) 0.552 * * [simplify]: iteration 3 : 5002 enodes (cost 72 ) 0.552 * [simplify]: Simplified to: (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (expm1 (- (* 1 (hypot re im)) re)) (log1p (- (* 1 (hypot re im)) re)) (- re) (exp (- (hypot re im) re)) (log (- (* 1 (hypot re im)) re)) (exp (- (hypot re im) re)) (* (cbrt (- (* 1 (hypot re im)) re)) (cbrt (- (* 1 (hypot re im)) re))) (cbrt (- (* 1 (hypot re im)) re)) (pow (- (hypot re im) re) 3) (sqrt (- (* 1 (hypot re im)) re)) (sqrt (- (* 1 (hypot re im)) re)) (- (pow (* 1 (hypot re im)) 3) (pow re 3)) (fma (hypot re im) (fma 1 (hypot re im) re) (* re re)) (- re) (* (+ (hypot re im) re) (- (hypot re im) re)) (fma 1 (hypot re im) re) (- (hypot re im) re) (- re) (- im re) 0 (* -2 re) 0.553 * * * [progress]: adding candidates to table 0.606 * * [progress]: iteration 3 / 4 0.606 * * * [progress]: picking best candidate 0.611 * * * * [pick]: Picked # 0.611 * * * [progress]: localizing error 0.625 * * * [progress]: generating rewritten candidates 0.625 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1) 0.628 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1) 0.632 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 0.632 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2 1 1) 0.636 * * * [progress]: generating series expansions 0.636 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1) 0.636 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.636 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.636 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.636 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.636 * [taylor]: Taking taylor expansion of re in im 0.637 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.637 * [taylor]: Taking taylor expansion of im in im 0.637 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.637 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.637 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.637 * [taylor]: Taking taylor expansion of re in re 0.637 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.637 * [taylor]: Taking taylor expansion of im in re 0.638 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.638 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.638 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.638 * [taylor]: Taking taylor expansion of re in re 0.638 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.638 * [taylor]: Taking taylor expansion of im in re 0.639 * [taylor]: Taking taylor expansion of im in im 0.639 * [taylor]: Taking taylor expansion of 0 in im 0.640 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.640 * [taylor]: Taking taylor expansion of 1/2 in im 0.640 * [taylor]: Taking taylor expansion of im in im 0.642 * [taylor]: Taking taylor expansion of 0 in im 0.643 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.643 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.643 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.643 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.643 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.643 * [taylor]: Taking taylor expansion of im in im 0.643 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.643 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.643 * [taylor]: Taking taylor expansion of re in im 0.645 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.645 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.645 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.645 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.645 * [taylor]: Taking taylor expansion of im in re 0.645 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.645 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.646 * [taylor]: Taking taylor expansion of re in re 0.648 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.648 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.648 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.648 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.648 * [taylor]: Taking taylor expansion of im in re 0.648 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.648 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.648 * [taylor]: Taking taylor expansion of re in re 0.650 * [taylor]: Taking taylor expansion of 1 in im 0.650 * [taylor]: Taking taylor expansion of 0 in im 0.656 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.656 * [taylor]: Taking taylor expansion of 1/2 in im 0.656 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.656 * [taylor]: Taking taylor expansion of im in im 0.659 * [taylor]: Taking taylor expansion of 0 in im 0.661 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.661 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.661 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.661 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.661 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.661 * [taylor]: Taking taylor expansion of im in im 0.661 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.661 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.661 * [taylor]: Taking taylor expansion of re in im 0.663 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.663 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.663 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.663 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.663 * [taylor]: Taking taylor expansion of im in re 0.663 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.663 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.663 * [taylor]: Taking taylor expansion of re in re 0.666 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.666 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.666 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.666 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.666 * [taylor]: Taking taylor expansion of im in re 0.666 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.666 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.666 * [taylor]: Taking taylor expansion of re in re 0.668 * [taylor]: Taking taylor expansion of 1 in im 0.668 * [taylor]: Taking taylor expansion of 0 in im 0.670 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.670 * [taylor]: Taking taylor expansion of 1/2 in im 0.670 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.670 * [taylor]: Taking taylor expansion of im in im 0.673 * [taylor]: Taking taylor expansion of 0 in im 0.675 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1) 0.675 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.675 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.675 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.675 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.675 * [taylor]: Taking taylor expansion of re in im 0.675 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.675 * [taylor]: Taking taylor expansion of im in im 0.675 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.675 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.675 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.675 * [taylor]: Taking taylor expansion of re in re 0.676 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.676 * [taylor]: Taking taylor expansion of im in re 0.676 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.676 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.676 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.676 * [taylor]: Taking taylor expansion of re in re 0.676 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.676 * [taylor]: Taking taylor expansion of im in re 0.677 * [taylor]: Taking taylor expansion of im in im 0.677 * [taylor]: Taking taylor expansion of 0 in im 0.678 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.678 * [taylor]: Taking taylor expansion of 1/2 in im 0.678 * [taylor]: Taking taylor expansion of im in im 0.680 * [taylor]: Taking taylor expansion of 0 in im 0.681 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.681 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.681 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.681 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.681 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.681 * [taylor]: Taking taylor expansion of im in im 0.682 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.682 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.682 * [taylor]: Taking taylor expansion of re in im 0.684 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.684 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.684 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.684 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.684 * [taylor]: Taking taylor expansion of im in re 0.684 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.684 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.684 * [taylor]: Taking taylor expansion of re in re 0.686 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.686 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.686 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.686 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.686 * [taylor]: Taking taylor expansion of im in re 0.686 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.686 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.686 * [taylor]: Taking taylor expansion of re in re 0.689 * [taylor]: Taking taylor expansion of 1 in im 0.689 * [taylor]: Taking taylor expansion of 0 in im 0.691 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.691 * [taylor]: Taking taylor expansion of 1/2 in im 0.691 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.691 * [taylor]: Taking taylor expansion of im in im 0.694 * [taylor]: Taking taylor expansion of 0 in im 0.695 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.695 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.695 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.695 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.695 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.695 * [taylor]: Taking taylor expansion of im in im 0.696 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.696 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.696 * [taylor]: Taking taylor expansion of re in im 0.698 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.698 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.698 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.698 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.698 * [taylor]: Taking taylor expansion of im in re 0.698 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.698 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.698 * [taylor]: Taking taylor expansion of re in re 0.700 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.700 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.700 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.700 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.700 * [taylor]: Taking taylor expansion of im in re 0.701 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.701 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.701 * [taylor]: Taking taylor expansion of re in re 0.703 * [taylor]: Taking taylor expansion of 1 in im 0.703 * [taylor]: Taking taylor expansion of 0 in im 0.705 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.705 * [taylor]: Taking taylor expansion of 1/2 in im 0.705 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.705 * [taylor]: Taking taylor expansion of im in im 0.708 * [taylor]: Taking taylor expansion of 0 in im 0.709 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 0.710 * [approximate]: Taking taylor expansion of (fma (pow (+ (pow re 2) (pow im 2)) 1/4) (pow (+ (pow re 2) (pow im 2)) 1/4) (* -1 re)) in (re im) around 0 0.710 * [taylor]: Taking taylor expansion of (fma (pow (+ (pow re 2) (pow im 2)) 1/4) (pow (+ (pow re 2) (pow im 2)) 1/4) (* -1 re)) in im 0.710 * [taylor]: Rewrote expression to (+ (* (pow (+ (pow re 2) (pow im 2)) 1/4) (pow (+ (pow re 2) (pow im 2)) 1/4)) (* -1 re)) 0.710 * [taylor]: Taking taylor expansion of (* (pow (+ (pow re 2) (pow im 2)) 1/4) (pow (+ (pow re 2) (pow im 2)) 1/4)) in im 0.710 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/4) in im 0.710 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow re 2) (pow im 2))))) in im 0.710 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow re 2) (pow im 2)))) in im 0.710 * [taylor]: Taking taylor expansion of 1/4 in im 0.710 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im 0.710 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.710 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.710 * [taylor]: Taking taylor expansion of re in im 0.710 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.710 * [taylor]: Taking taylor expansion of im in im 0.711 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/4) in im 0.711 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow re 2) (pow im 2))))) in im 0.711 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow re 2) (pow im 2)))) in im 0.711 * [taylor]: Taking taylor expansion of 1/4 in im 0.711 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im 0.711 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.711 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.711 * [taylor]: Taking taylor expansion of re in im 0.711 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.711 * [taylor]: Taking taylor expansion of im in im 0.711 * [taylor]: Taking taylor expansion of (* -1 re) in im 0.711 * [taylor]: Taking taylor expansion of -1 in im 0.711 * [taylor]: Taking taylor expansion of re in im 0.711 * [taylor]: Taking taylor expansion of (fma (pow (+ (pow re 2) (pow im 2)) 1/4) (pow (+ (pow re 2) (pow im 2)) 1/4) (* -1 re)) in re 0.711 * [taylor]: Rewrote expression to (+ (* (pow (+ (pow re 2) (pow im 2)) 1/4) (pow (+ (pow re 2) (pow im 2)) 1/4)) (* -1 re)) 0.711 * [taylor]: Taking taylor expansion of (* (pow (+ (pow re 2) (pow im 2)) 1/4) (pow (+ (pow re 2) (pow im 2)) 1/4)) in re 0.711 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/4) in re 0.711 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow re 2) (pow im 2))))) in re 0.711 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow re 2) (pow im 2)))) in re 0.711 * [taylor]: Taking taylor expansion of 1/4 in re 0.711 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 0.711 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.711 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.711 * [taylor]: Taking taylor expansion of re in re 0.711 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.711 * [taylor]: Taking taylor expansion of im in re 0.712 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/4) in re 0.712 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow re 2) (pow im 2))))) in re 0.712 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow re 2) (pow im 2)))) in re 0.712 * [taylor]: Taking taylor expansion of 1/4 in re 0.712 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 0.712 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.712 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.712 * [taylor]: Taking taylor expansion of re in re 0.712 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.712 * [taylor]: Taking taylor expansion of im in re 0.712 * [taylor]: Taking taylor expansion of (* -1 re) in re 0.712 * [taylor]: Taking taylor expansion of -1 in re 0.712 * [taylor]: Taking taylor expansion of re in re 0.712 * [taylor]: Taking taylor expansion of (fma (pow (+ (pow re 2) (pow im 2)) 1/4) (pow (+ (pow re 2) (pow im 2)) 1/4) (* -1 re)) in re 0.712 * [taylor]: Rewrote expression to (+ (* (pow (+ (pow re 2) (pow im 2)) 1/4) (pow (+ (pow re 2) (pow im 2)) 1/4)) (* -1 re)) 0.713 * [taylor]: Taking taylor expansion of (* (pow (+ (pow re 2) (pow im 2)) 1/4) (pow (+ (pow re 2) (pow im 2)) 1/4)) in re 0.713 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/4) in re 0.713 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow re 2) (pow im 2))))) in re 0.713 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow re 2) (pow im 2)))) in re 0.713 * [taylor]: Taking taylor expansion of 1/4 in re 0.713 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 0.713 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.713 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.713 * [taylor]: Taking taylor expansion of re in re 0.713 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.713 * [taylor]: Taking taylor expansion of im in re 0.713 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/4) in re 0.713 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow re 2) (pow im 2))))) in re 0.713 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow re 2) (pow im 2)))) in re 0.713 * [taylor]: Taking taylor expansion of 1/4 in re 0.713 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 0.713 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.713 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.713 * [taylor]: Taking taylor expansion of re in re 0.713 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.713 * [taylor]: Taking taylor expansion of im in re 0.713 * [taylor]: Taking taylor expansion of (* -1 re) in re 0.713 * [taylor]: Taking taylor expansion of -1 in re 0.713 * [taylor]: Taking taylor expansion of re in re 0.714 * [taylor]: Taking taylor expansion of im in im 0.719 * [taylor]: Taking taylor expansion of -1 in im 0.727 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.727 * [taylor]: Taking taylor expansion of 1/2 in im 0.727 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.727 * [taylor]: Taking taylor expansion of im in im 0.739 * [taylor]: Taking taylor expansion of 0 in im 0.740 * [approximate]: Taking taylor expansion of (fma (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (/ -1 re)) in (re im) around 0 0.740 * [taylor]: Taking taylor expansion of (fma (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (/ -1 re)) in im 0.740 * [taylor]: Rewrote expression to (+ (* (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)) (/ -1 re)) 0.740 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)) in im 0.740 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in im 0.740 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.740 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.740 * [taylor]: Taking taylor expansion of 1/4 in im 0.740 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.740 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.740 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.740 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.740 * [taylor]: Taking taylor expansion of im in im 0.741 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.741 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.741 * [taylor]: Taking taylor expansion of re in im 0.747 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in im 0.747 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.747 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.747 * [taylor]: Taking taylor expansion of 1/4 in im 0.747 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.747 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.747 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.747 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.747 * [taylor]: Taking taylor expansion of im in im 0.748 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.748 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.748 * [taylor]: Taking taylor expansion of re in im 0.749 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.749 * [taylor]: Taking taylor expansion of -1 in im 0.749 * [taylor]: Taking taylor expansion of re in im 0.749 * [taylor]: Taking taylor expansion of (fma (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (/ -1 re)) in re 0.749 * [taylor]: Rewrote expression to (+ (* (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)) (/ -1 re)) 0.749 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)) in re 0.749 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in re 0.749 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.749 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.749 * [taylor]: Taking taylor expansion of 1/4 in re 0.749 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.750 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.750 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.750 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.750 * [taylor]: Taking taylor expansion of im in re 0.750 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.750 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.750 * [taylor]: Taking taylor expansion of re in re 0.751 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in re 0.751 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.751 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.751 * [taylor]: Taking taylor expansion of 1/4 in re 0.751 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.751 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.751 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.751 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.751 * [taylor]: Taking taylor expansion of im in re 0.751 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.751 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.751 * [taylor]: Taking taylor expansion of re in re 0.753 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.753 * [taylor]: Taking taylor expansion of -1 in re 0.753 * [taylor]: Taking taylor expansion of re in re 0.753 * [taylor]: Taking taylor expansion of (fma (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (/ -1 re)) in re 0.753 * [taylor]: Rewrote expression to (+ (* (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)) (/ -1 re)) 0.753 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)) in re 0.753 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in re 0.753 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.753 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.753 * [taylor]: Taking taylor expansion of 1/4 in re 0.753 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.753 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.753 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.753 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.753 * [taylor]: Taking taylor expansion of im in re 0.753 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.753 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.753 * [taylor]: Taking taylor expansion of re in re 0.755 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in re 0.755 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.755 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.755 * [taylor]: Taking taylor expansion of 1/4 in re 0.755 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.755 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.755 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.755 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.755 * [taylor]: Taking taylor expansion of im in re 0.755 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.755 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.755 * [taylor]: Taking taylor expansion of re in re 0.756 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.756 * [taylor]: Taking taylor expansion of -1 in re 0.756 * [taylor]: Taking taylor expansion of re in re 0.757 * [taylor]: Taking taylor expansion of -1 in im 0.758 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.758 * [taylor]: Taking taylor expansion of re in im 0.764 * [taylor]: Taking taylor expansion of 0 in im 0.773 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* re (pow im 2)))) in im 0.773 * [taylor]: Taking taylor expansion of 1/2 in im 0.773 * [taylor]: Taking taylor expansion of (/ 1 (* re (pow im 2))) in im 0.773 * [taylor]: Taking taylor expansion of (* re (pow im 2)) in im 0.773 * [taylor]: Taking taylor expansion of re in im 0.773 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.773 * [taylor]: Taking taylor expansion of im in im 0.776 * [approximate]: Taking taylor expansion of (fma (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (/ 1 re)) in (re im) around 0 0.776 * [taylor]: Taking taylor expansion of (fma (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (/ 1 re)) in im 0.776 * [taylor]: Rewrote expression to (+ (* (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)) (/ 1 re)) 0.776 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)) in im 0.776 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in im 0.776 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.776 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.776 * [taylor]: Taking taylor expansion of 1/4 in im 0.776 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.776 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.776 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.776 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.776 * [taylor]: Taking taylor expansion of im in im 0.777 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.777 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.777 * [taylor]: Taking taylor expansion of re in im 0.778 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in im 0.778 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.778 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.778 * [taylor]: Taking taylor expansion of 1/4 in im 0.778 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.778 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.778 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.778 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.778 * [taylor]: Taking taylor expansion of im in im 0.779 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.779 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.779 * [taylor]: Taking taylor expansion of re in im 0.780 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.780 * [taylor]: Taking taylor expansion of re in im 0.780 * [taylor]: Taking taylor expansion of (fma (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (/ 1 re)) in re 0.780 * [taylor]: Rewrote expression to (+ (* (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)) (/ 1 re)) 0.780 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)) in re 0.780 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in re 0.780 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.780 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.780 * [taylor]: Taking taylor expansion of 1/4 in re 0.780 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.780 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.780 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.780 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.780 * [taylor]: Taking taylor expansion of im in re 0.780 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.780 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.780 * [taylor]: Taking taylor expansion of re in re 0.781 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in re 0.781 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.781 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.781 * [taylor]: Taking taylor expansion of 1/4 in re 0.781 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.781 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.781 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.781 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.781 * [taylor]: Taking taylor expansion of im in re 0.782 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.782 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.782 * [taylor]: Taking taylor expansion of re in re 0.783 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.783 * [taylor]: Taking taylor expansion of re in re 0.783 * [taylor]: Taking taylor expansion of (fma (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (/ 1 re)) in re 0.783 * [taylor]: Rewrote expression to (+ (* (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)) (/ 1 re)) 0.783 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)) in re 0.783 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in re 0.783 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.783 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.783 * [taylor]: Taking taylor expansion of 1/4 in re 0.783 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.783 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.783 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.783 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.784 * [taylor]: Taking taylor expansion of im in re 0.784 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.784 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.784 * [taylor]: Taking taylor expansion of re in re 0.785 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in re 0.785 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.785 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.785 * [taylor]: Taking taylor expansion of 1/4 in re 0.785 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.785 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.785 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.785 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.785 * [taylor]: Taking taylor expansion of im in re 0.785 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.785 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.785 * [taylor]: Taking taylor expansion of re in re 0.787 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.787 * [taylor]: Taking taylor expansion of re in re 0.787 * [taylor]: Taking taylor expansion of 1 in im 0.788 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.788 * [taylor]: Taking taylor expansion of re in im 0.794 * [taylor]: Taking taylor expansion of 0 in im 0.802 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* re (pow im 2)))) in im 0.802 * [taylor]: Taking taylor expansion of 1/2 in im 0.802 * [taylor]: Taking taylor expansion of (/ 1 (* re (pow im 2))) in im 0.802 * [taylor]: Taking taylor expansion of (* re (pow im 2)) in im 0.802 * [taylor]: Taking taylor expansion of re in im 0.802 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.802 * [taylor]: Taking taylor expansion of im in im 0.805 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2 1 1) 0.805 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.805 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.805 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.805 * [taylor]: Taking taylor expansion of re in im 0.805 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.805 * [taylor]: Taking taylor expansion of im in im 0.805 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.805 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.805 * [taylor]: Taking taylor expansion of re in re 0.805 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.805 * [taylor]: Taking taylor expansion of im in re 0.805 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.805 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.805 * [taylor]: Taking taylor expansion of re in re 0.805 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.805 * [taylor]: Taking taylor expansion of im in re 0.806 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.806 * [taylor]: Taking taylor expansion of im in im 0.806 * [taylor]: Taking taylor expansion of 0 in im 0.807 * [taylor]: Taking taylor expansion of 1 in im 0.808 * [taylor]: Taking taylor expansion of 0 in im 0.810 * [taylor]: Taking taylor expansion of 0 in im 0.810 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.810 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.810 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.810 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.810 * [taylor]: Taking taylor expansion of im in im 0.811 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.811 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.811 * [taylor]: Taking taylor expansion of re in im 0.811 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.811 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.811 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.811 * [taylor]: Taking taylor expansion of im in re 0.811 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.811 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.811 * [taylor]: Taking taylor expansion of re in re 0.812 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.812 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.812 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.812 * [taylor]: Taking taylor expansion of im in re 0.812 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.812 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.812 * [taylor]: Taking taylor expansion of re in re 0.813 * [taylor]: Taking taylor expansion of 1 in im 0.814 * [taylor]: Taking taylor expansion of 0 in im 0.815 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.815 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.815 * [taylor]: Taking taylor expansion of im in im 0.817 * [taylor]: Taking taylor expansion of 0 in im 0.820 * [taylor]: Taking taylor expansion of 0 in im 0.821 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.821 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.821 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.821 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.821 * [taylor]: Taking taylor expansion of im in im 0.822 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.822 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.822 * [taylor]: Taking taylor expansion of re in im 0.822 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.822 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.822 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.822 * [taylor]: Taking taylor expansion of im in re 0.822 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.822 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.822 * [taylor]: Taking taylor expansion of re in re 0.823 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.823 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.823 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.823 * [taylor]: Taking taylor expansion of im in re 0.823 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.823 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.823 * [taylor]: Taking taylor expansion of re in re 0.824 * [taylor]: Taking taylor expansion of 1 in im 0.825 * [taylor]: Taking taylor expansion of 0 in im 0.826 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.826 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.826 * [taylor]: Taking taylor expansion of im in im 0.828 * [taylor]: Taking taylor expansion of 0 in im 0.830 * [taylor]: Taking taylor expansion of 0 in im 0.832 * * * [progress]: simplifying candidates 0.837 * [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)))) (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 (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))) (log1p (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (log (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))) (exp (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))) (* (cbrt (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))) (cbrt (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re)))) (cbrt (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))) (* (* (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re)) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))) (sqrt (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))) (sqrt (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))) (expm1 (+ (* re re) (* im im))) (log1p (+ (* re re) (* im im))) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) im re (* -1 re) im re (* -1 re) (- im re) 0 (- (* 2 re)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 0.841 * * [simplify]: iteration 0 : 157 enodes (cost 440 ) 0.845 * * [simplify]: iteration 1 : 648 enodes (cost 380 ) 0.855 * * [simplify]: iteration 2 : 2168 enodes (cost 374 ) 0.900 * * [simplify]: iteration 3 : 5002 enodes (cost 371 ) 0.903 * [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)))) (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 (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))) (log1p (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))) (hypot re im) (log (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))) (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (* (cbrt (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))) (cbrt (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re)))) (cbrt (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))) (pow (- (hypot re im) re) 3) (sqrt (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))) (sqrt (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))) (expm1 (+ (* re re) (* im im))) (log1p (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (pow (hypot re im) 6) (hypot re im) (hypot re im) (fma 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) im re (* -1 re) (- im re) 0 (* -2 re) (fma re re (* im im)) (fma re re (* im im)) (fma re re (* im im)) 0.903 * * * [progress]: adding candidates to table 1.165 * * [progress]: iteration 4 / 4 1.165 * * * [progress]: picking best candidate 1.170 * * * * [pick]: Picked # 1.170 * * * [progress]: localizing error 1.189 * * * [progress]: generating rewritten candidates 1.189 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1 2 1) 1.193 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2 1 1 1) 1.197 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 2 1 2 1) 1.204 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 2 1 1 1) 1.209 * * * [progress]: generating series expansions 1.209 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1 2 1) 1.209 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.209 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.209 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.209 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.209 * [taylor]: Taking taylor expansion of re in im 1.209 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.209 * [taylor]: Taking taylor expansion of im in im 1.210 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.210 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.210 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.210 * [taylor]: Taking taylor expansion of re in re 1.210 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.210 * [taylor]: Taking taylor expansion of im in re 1.211 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.211 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.211 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.211 * [taylor]: Taking taylor expansion of re in re 1.211 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.211 * [taylor]: Taking taylor expansion of im in re 1.212 * [taylor]: Taking taylor expansion of im in im 1.212 * [taylor]: Taking taylor expansion of 0 in im 1.213 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.213 * [taylor]: Taking taylor expansion of 1/2 in im 1.213 * [taylor]: Taking taylor expansion of im in im 1.215 * [taylor]: Taking taylor expansion of 0 in im 1.216 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.216 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.216 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.216 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.216 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.216 * [taylor]: Taking taylor expansion of im in im 1.216 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.216 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.216 * [taylor]: Taking taylor expansion of re in im 1.218 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.218 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.218 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.218 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.218 * [taylor]: Taking taylor expansion of im in re 1.218 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.218 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.218 * [taylor]: Taking taylor expansion of re in re 1.221 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.221 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.221 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.221 * [taylor]: Taking taylor expansion of im in re 1.221 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.221 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.221 * [taylor]: Taking taylor expansion of re in re 1.223 * [taylor]: Taking taylor expansion of 1 in im 1.223 * [taylor]: Taking taylor expansion of 0 in im 1.225 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.225 * [taylor]: Taking taylor expansion of 1/2 in im 1.225 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.225 * [taylor]: Taking taylor expansion of im in im 1.228 * [taylor]: Taking taylor expansion of 0 in im 1.230 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.230 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.230 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.230 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.230 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.230 * [taylor]: Taking taylor expansion of im in im 1.230 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.230 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.230 * [taylor]: Taking taylor expansion of re in im 1.232 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.232 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.232 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.232 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.232 * [taylor]: Taking taylor expansion of im in re 1.232 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.233 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.233 * [taylor]: Taking taylor expansion of re in re 1.235 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.235 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.235 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.235 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.235 * [taylor]: Taking taylor expansion of im in re 1.235 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.235 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.235 * [taylor]: Taking taylor expansion of re in re 1.237 * [taylor]: Taking taylor expansion of 1 in im 1.237 * [taylor]: Taking taylor expansion of 0 in im 1.239 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.239 * [taylor]: Taking taylor expansion of 1/2 in im 1.239 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.239 * [taylor]: Taking taylor expansion of im in im 1.242 * [taylor]: Taking taylor expansion of 0 in im 1.244 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2 1 1 1) 1.244 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.244 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.244 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.244 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.244 * [taylor]: Taking taylor expansion of re in im 1.244 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.244 * [taylor]: Taking taylor expansion of im in im 1.244 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.244 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.244 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.244 * [taylor]: Taking taylor expansion of re in re 1.244 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.244 * [taylor]: Taking taylor expansion of im in re 1.245 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.245 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.245 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.245 * [taylor]: Taking taylor expansion of re in re 1.245 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.245 * [taylor]: Taking taylor expansion of im in re 1.246 * [taylor]: Taking taylor expansion of im in im 1.246 * [taylor]: Taking taylor expansion of 0 in im 1.247 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.247 * [taylor]: Taking taylor expansion of 1/2 in im 1.247 * [taylor]: Taking taylor expansion of im in im 1.249 * [taylor]: Taking taylor expansion of 0 in im 1.250 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.250 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.250 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.250 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.250 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.250 * [taylor]: Taking taylor expansion of im in im 1.250 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.250 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.250 * [taylor]: Taking taylor expansion of re in im 1.252 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.252 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.253 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.253 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.253 * [taylor]: Taking taylor expansion of im in re 1.253 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.253 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.253 * [taylor]: Taking taylor expansion of re in re 1.255 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.255 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.255 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.255 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.255 * [taylor]: Taking taylor expansion of im in re 1.255 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.255 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.255 * [taylor]: Taking taylor expansion of re in re 1.258 * [taylor]: Taking taylor expansion of 1 in im 1.258 * [taylor]: Taking taylor expansion of 0 in im 1.260 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.260 * [taylor]: Taking taylor expansion of 1/2 in im 1.260 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.260 * [taylor]: Taking taylor expansion of im in im 1.263 * [taylor]: Taking taylor expansion of 0 in im 1.264 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.264 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.264 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.264 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.264 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.264 * [taylor]: Taking taylor expansion of im in im 1.265 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.265 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.265 * [taylor]: Taking taylor expansion of re in im 1.267 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.267 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.267 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.267 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.267 * [taylor]: Taking taylor expansion of im in re 1.267 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.267 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.267 * [taylor]: Taking taylor expansion of re in re 1.269 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.269 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.269 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.269 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.269 * [taylor]: Taking taylor expansion of im in re 1.269 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.269 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.269 * [taylor]: Taking taylor expansion of re in re 1.272 * [taylor]: Taking taylor expansion of 1 in im 1.272 * [taylor]: Taking taylor expansion of 0 in im 1.274 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.274 * [taylor]: Taking taylor expansion of 1/2 in im 1.274 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.274 * [taylor]: Taking taylor expansion of im in im 1.277 * [taylor]: Taking taylor expansion of 0 in im 1.278 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 2 1 2 1) 1.278 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.278 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.278 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.278 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.278 * [taylor]: Taking taylor expansion of re in im 1.278 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.278 * [taylor]: Taking taylor expansion of im in im 1.279 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.279 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.279 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.279 * [taylor]: Taking taylor expansion of re in re 1.279 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.279 * [taylor]: Taking taylor expansion of im in re 1.280 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.280 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.280 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.280 * [taylor]: Taking taylor expansion of re in re 1.280 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.280 * [taylor]: Taking taylor expansion of im in re 1.280 * [taylor]: Taking taylor expansion of im in im 1.280 * [taylor]: Taking taylor expansion of 0 in im 1.282 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.282 * [taylor]: Taking taylor expansion of 1/2 in im 1.282 * [taylor]: Taking taylor expansion of im in im 1.284 * [taylor]: Taking taylor expansion of 0 in im 1.284 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.284 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.284 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.284 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.284 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.284 * [taylor]: Taking taylor expansion of im in im 1.285 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.285 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.285 * [taylor]: Taking taylor expansion of re in im 1.291 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.291 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.292 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.292 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.292 * [taylor]: Taking taylor expansion of im in re 1.292 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.292 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.292 * [taylor]: Taking taylor expansion of re in re 1.294 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.294 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.294 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.294 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.294 * [taylor]: Taking taylor expansion of im in re 1.294 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.294 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.294 * [taylor]: Taking taylor expansion of re in re 1.297 * [taylor]: Taking taylor expansion of 1 in im 1.297 * [taylor]: Taking taylor expansion of 0 in im 1.298 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.299 * [taylor]: Taking taylor expansion of 1/2 in im 1.299 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.299 * [taylor]: Taking taylor expansion of im in im 1.302 * [taylor]: Taking taylor expansion of 0 in im 1.303 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.303 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.303 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.303 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.303 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.303 * [taylor]: Taking taylor expansion of im in im 1.304 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.304 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.304 * [taylor]: Taking taylor expansion of re in im 1.306 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.306 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.306 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.306 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.306 * [taylor]: Taking taylor expansion of im in re 1.306 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.306 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.306 * [taylor]: Taking taylor expansion of re in re 1.308 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.308 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.308 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.308 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.309 * [taylor]: Taking taylor expansion of im in re 1.309 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.309 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.309 * [taylor]: Taking taylor expansion of re in re 1.311 * [taylor]: Taking taylor expansion of 1 in im 1.311 * [taylor]: Taking taylor expansion of 0 in im 1.313 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.313 * [taylor]: Taking taylor expansion of 1/2 in im 1.313 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.313 * [taylor]: Taking taylor expansion of im in im 1.316 * [taylor]: Taking taylor expansion of 0 in im 1.317 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 2 1 1 1) 1.317 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.317 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.317 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.317 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.317 * [taylor]: Taking taylor expansion of re in im 1.317 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.317 * [taylor]: Taking taylor expansion of im in im 1.318 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.318 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.318 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.318 * [taylor]: Taking taylor expansion of re in re 1.318 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.318 * [taylor]: Taking taylor expansion of im in re 1.319 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.319 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.319 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.319 * [taylor]: Taking taylor expansion of re in re 1.319 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.319 * [taylor]: Taking taylor expansion of im in re 1.319 * [taylor]: Taking taylor expansion of im in im 1.319 * [taylor]: Taking taylor expansion of 0 in im 1.320 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.320 * [taylor]: Taking taylor expansion of 1/2 in im 1.321 * [taylor]: Taking taylor expansion of im in im 1.322 * [taylor]: Taking taylor expansion of 0 in im 1.323 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.323 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.323 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.323 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.323 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.323 * [taylor]: Taking taylor expansion of im in im 1.324 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.324 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.324 * [taylor]: Taking taylor expansion of re in im 1.326 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.326 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.326 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.326 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.326 * [taylor]: Taking taylor expansion of im in re 1.326 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.326 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.326 * [taylor]: Taking taylor expansion of re in re 1.328 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.328 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.328 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.328 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.328 * [taylor]: Taking taylor expansion of im in re 1.328 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.328 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.328 * [taylor]: Taking taylor expansion of re in re 1.331 * [taylor]: Taking taylor expansion of 1 in im 1.331 * [taylor]: Taking taylor expansion of 0 in im 1.333 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.333 * [taylor]: Taking taylor expansion of 1/2 in im 1.333 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.333 * [taylor]: Taking taylor expansion of im in im 1.336 * [taylor]: Taking taylor expansion of 0 in im 1.337 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.337 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.337 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.337 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.337 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.337 * [taylor]: Taking taylor expansion of im in im 1.338 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.338 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.338 * [taylor]: Taking taylor expansion of re in im 1.340 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.340 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.340 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.340 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.340 * [taylor]: Taking taylor expansion of im in re 1.340 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.340 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.340 * [taylor]: Taking taylor expansion of re in re 1.342 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.342 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.342 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.342 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.342 * [taylor]: Taking taylor expansion of im in re 1.342 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.342 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.342 * [taylor]: Taking taylor expansion of re in re 1.345 * [taylor]: Taking taylor expansion of 1 in im 1.345 * [taylor]: Taking taylor expansion of 0 in im 1.347 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.347 * [taylor]: Taking taylor expansion of 1/2 in im 1.347 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.347 * [taylor]: Taking taylor expansion of im in im 1.350 * [taylor]: Taking taylor expansion of 0 in im 1.351 * * * [progress]: simplifying candidates 1.352 * [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)))) (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)))) (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)))) (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)))) im re (* -1 re) im re (* -1 re) im re (* -1 re) im re (* -1 re) 1.356 * * [simplify]: iteration 0 : 98 enodes (cost 412 ) 1.358 * * [simplify]: iteration 1 : 254 enodes (cost 392 ) 1.363 * * [simplify]: iteration 2 : 619 enodes (cost 392 ) 1.373 * * [simplify]: iteration 3 : 1573 enodes (cost 392 ) 1.405 * * [simplify]: iteration 4 : 5001 enodes (cost 392 ) 1.407 * [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)))) (sqrt 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)))) (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)))) (sqrt 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)))) (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)))) (sqrt 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)))) (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)))) (sqrt 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)))) im re (* -1 re) im re (* -1 re) im re (* -1 re) im re (* -1 re) 1.408 * * * [progress]: adding candidates to table 1.824 * [progress]: [Phase 3 of 3] Extracting. 1.824 * * [regime]: Finding splitpoints for: (# # #) 1.826 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re) 1.827 * * * * [regimes]: Trying to branch on (* im im) from (# # #) 1.853 * * * * [regimes]: Trying to branch on im from (# # #) 1.878 * * * * [regimes]: Trying to branch on re from (# # #) 1.901 * * * [regime]: Found split indices: #