2.471 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.028 * * * [progress]: [2/2] Setting up program. 0.030 * [progress]: [Phase 2 of 3] Improving. 0.030 * [simplify]: Simplifying using # : (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.030 * [simplify]: Sending expressions to egg_math: (* h0 (sqrt (* h1 (- (sqrt (+ (* h2 h2) (* h3 h3))) h2)))) 0.033 * * [simplify]: iteration 0 : 19 enodes (cost 8 ) 0.034 * * [simplify]: iteration 1 : 28 enodes (cost 8 ) 0.035 * * [simplify]: iteration 2 : 36 enodes (cost 8 ) 0.036 * * [simplify]: iteration 3 : 44 enodes (cost 8 ) 0.038 * * [simplify]: iteration 4 : 46 enodes (cost 8 ) 0.039 * * [simplify]: iteration 5 : 46 enodes (cost 8 ) 0.039 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.040 * * [progress]: iteration 1 / 4 0.040 * * * [progress]: picking best candidate 0.042 * * * * [pick]: Picked # 0.042 * * * [progress]: localizing error 0.052 * * * [progress]: generating rewritten candidates 0.052 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.060 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.112 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 2 1 1) 0.123 * * * [progress]: generating series expansions 0.123 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.124 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.124 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.124 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.124 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.124 * [taylor]: Taking taylor expansion of re in im 0.124 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.124 * [taylor]: Taking taylor expansion of im in im 0.125 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.125 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.125 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.125 * [taylor]: Taking taylor expansion of re in re 0.125 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.125 * [taylor]: Taking taylor expansion of im in re 0.126 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.126 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.126 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.126 * [taylor]: Taking taylor expansion of re in re 0.126 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.126 * [taylor]: Taking taylor expansion of im in re 0.126 * [taylor]: Taking taylor expansion of im in im 0.126 * [taylor]: Taking taylor expansion of 0 in im 0.128 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.128 * [taylor]: Taking taylor expansion of 1/2 in im 0.128 * [taylor]: Taking taylor expansion of im in im 0.130 * [taylor]: Taking taylor expansion of 0 in im 0.130 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.130 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.130 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.131 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.131 * [taylor]: Taking taylor expansion of im in im 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.131 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.131 * [taylor]: Taking taylor expansion of re in im 0.133 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.133 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.133 * [taylor]: Taking taylor expansion of im in re 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.133 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.133 * [taylor]: Taking taylor expansion of re in re 0.135 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.135 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.135 * [taylor]: Taking taylor expansion of im in re 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.135 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.136 * [taylor]: Taking taylor expansion of re in re 0.138 * [taylor]: Taking taylor expansion of 1 in im 0.138 * [taylor]: Taking taylor expansion of 0 in im 0.139 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.139 * [taylor]: Taking taylor expansion of 1/2 in im 0.139 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.139 * [taylor]: Taking taylor expansion of im in im 0.142 * [taylor]: Taking taylor expansion of 0 in im 0.144 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.144 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.144 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.144 * [taylor]: Taking taylor expansion of im in im 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.144 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.144 * [taylor]: Taking taylor expansion of re in im 0.146 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.146 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.146 * [taylor]: Taking taylor expansion of im in re 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.146 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.146 * [taylor]: Taking taylor expansion of re in re 0.148 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.149 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.149 * [taylor]: Taking taylor expansion of im in re 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.149 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.149 * [taylor]: Taking taylor expansion of re in re 0.151 * [taylor]: Taking taylor expansion of 1 in im 0.151 * [taylor]: Taking taylor expansion of 0 in im 0.153 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.153 * [taylor]: Taking taylor expansion of 1/2 in im 0.153 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.153 * [taylor]: Taking taylor expansion of im in im 0.156 * [taylor]: Taking taylor expansion of 0 in im 0.157 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 0.157 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 0.157 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.157 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.157 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.157 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.157 * [taylor]: Taking taylor expansion of re in im 0.157 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.157 * [taylor]: Taking taylor expansion of im in im 0.157 * [taylor]: Taking taylor expansion of re in im 0.157 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.157 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.157 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.158 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.158 * [taylor]: Taking taylor expansion of re in re 0.158 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.158 * [taylor]: Taking taylor expansion of im in re 0.158 * [taylor]: Taking taylor expansion of re in re 0.158 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.158 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.158 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.158 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.158 * [taylor]: Taking taylor expansion of re in re 0.158 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.158 * [taylor]: Taking taylor expansion of im in re 0.159 * [taylor]: Taking taylor expansion of re in re 0.159 * [taylor]: Taking taylor expansion of im in im 0.159 * [taylor]: Taking taylor expansion of -1 in im 0.161 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.161 * [taylor]: Taking taylor expansion of 1/2 in im 0.161 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.161 * [taylor]: Taking taylor expansion of im in im 0.163 * [taylor]: Taking taylor expansion of 0 in im 0.167 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.167 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 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 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.168 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.168 * [taylor]: Taking taylor expansion of re in im 0.170 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.170 * [taylor]: Taking taylor expansion of re in im 0.170 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 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) 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)))) (/ 1 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 0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.172 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.173 * [taylor]: Taking taylor expansion of re in re 0.174 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.175 * [taylor]: Taking taylor expansion of re in re 0.175 * [taylor]: Taking taylor expansion of 0 in im 0.176 * [taylor]: Taking taylor expansion of 0 in im 0.178 * [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 0.184 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.184 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.184 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.184 * [taylor]: Taking taylor expansion of re in im 0.184 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.184 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.184 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.184 * [taylor]: Taking taylor expansion of im in im 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow re 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 0.187 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.187 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.187 * [taylor]: Taking taylor expansion of re in re 0.187 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.187 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.187 * [taylor]: Taking taylor expansion of im in re 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.187 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.187 * [taylor]: Taking taylor expansion of re in re 0.189 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.189 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.189 * [taylor]: Taking taylor expansion of re in re 0.189 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.189 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.189 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.189 * [taylor]: Taking taylor expansion of im in re 0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.190 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.190 * [taylor]: Taking taylor expansion of re in re 0.192 * [taylor]: Taking taylor expansion of 2 in im 0.192 * [taylor]: Taking taylor expansion of 0 in im 0.195 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.195 * [taylor]: Taking taylor expansion of 1/2 in im 0.195 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.195 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.195 * [taylor]: Taking taylor expansion of im in im 0.199 * [taylor]: Taking taylor expansion of 0 in im 0.200 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 2 1 1) 0.200 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.200 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.200 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.200 * [taylor]: Taking taylor expansion of re in im 0.200 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.200 * [taylor]: Taking taylor expansion of im in im 0.200 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.201 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.201 * [taylor]: Taking taylor expansion of re in re 0.201 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.201 * [taylor]: Taking taylor expansion of im in re 0.201 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.201 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.201 * [taylor]: Taking taylor expansion of re in re 0.201 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.201 * [taylor]: Taking taylor expansion of im in re 0.201 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.201 * [taylor]: Taking taylor expansion of im in im 0.201 * [taylor]: Taking taylor expansion of 0 in im 0.202 * [taylor]: Taking taylor expansion of 1 in im 0.203 * [taylor]: Taking taylor expansion of 0 in im 0.205 * [taylor]: Taking taylor expansion of 0 in im 0.205 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.205 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.205 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.205 * [taylor]: Taking taylor expansion of im in im 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.206 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.206 * [taylor]: Taking taylor expansion of re in im 0.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.206 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.206 * [taylor]: Taking taylor expansion of im in re 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.206 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.206 * [taylor]: Taking taylor expansion of re in re 0.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.206 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.206 * [taylor]: Taking taylor expansion of im in re 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.207 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.207 * [taylor]: Taking taylor expansion of re in re 0.207 * [taylor]: Taking taylor expansion of 1 in im 0.208 * [taylor]: Taking taylor expansion of 0 in im 0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.209 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.209 * [taylor]: Taking taylor expansion of im in im 0.211 * [taylor]: Taking taylor expansion of 0 in im 0.214 * [taylor]: Taking taylor expansion of 0 in im 0.215 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.215 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.215 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.215 * [taylor]: Taking taylor expansion of im in im 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.215 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.215 * [taylor]: Taking taylor expansion of re in im 0.216 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.216 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.216 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.216 * [taylor]: Taking taylor expansion of im in re 0.216 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.216 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.216 * [taylor]: Taking taylor expansion of re in re 0.216 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.216 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.216 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.216 * [taylor]: Taking taylor expansion of im in re 0.216 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.216 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.216 * [taylor]: Taking taylor expansion of re in re 0.217 * [taylor]: Taking taylor expansion of 1 in im 0.218 * [taylor]: Taking taylor expansion of 0 in im 0.219 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.219 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.219 * [taylor]: Taking taylor expansion of im in im 0.221 * [taylor]: Taking taylor expansion of 0 in im 0.223 * [taylor]: Taking taylor expansion of 0 in im 0.225 * * * [progress]: simplifying candidates 0.226 * [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)) 0.226 * [simplify]: Sending expressions to egg_math: (expm1 (sqrt (+ (* h0 h0) (* h1 h1)))) (log1p (sqrt (+ (* h0 h0) (* h1 h1)))) (log (sqrt (+ (* h0 h0) (* h1 h1)))) (exp (sqrt (+ (* h0 h0) (* h1 h1)))) (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt 1) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (sqrt (- (* h0 h0) (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (fma (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (- (* (cbrt h0) (* (cbrt h0) (cbrt h0))))) (fma (- (cbrt h0)) (* (cbrt h0) (cbrt h0)) (* (cbrt h0) (* (cbrt h0) (cbrt h0)))) (fma (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (- (* (sqrt h0) (sqrt h0)))) (fma (- (sqrt h0)) (sqrt h0) (* (sqrt h0) (sqrt h0))) (fma (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (- (* h0 1))) (fma (- h0) 1 (* h0 1)) (fma (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (- (* (cbrt h0) (* (cbrt h0) (cbrt h0))))) (fma (- (cbrt h0)) (* (cbrt h0) (cbrt h0)) (* (cbrt h0) (* (cbrt h0) (cbrt h0)))) (fma (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (- (* (sqrt h0) (sqrt h0)))) (fma (- (sqrt h0)) (sqrt h0) (* (sqrt h0) (sqrt h0))) (fma (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (- (* h0 1))) (fma (- h0) 1 (* h0 1)) (fma (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (- (* (cbrt h0) (* (cbrt h0) (cbrt h0))))) (fma (- (cbrt h0)) (* (cbrt h0) (cbrt h0)) (* (cbrt h0) (* (cbrt h0) (cbrt h0)))) (fma (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (- (* (sqrt h0) (sqrt h0)))) (fma (- (sqrt h0)) (sqrt h0) (* (sqrt h0) (sqrt h0))) (fma (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 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(- (cbrt h0)) (* (cbrt h0) (cbrt h0)) (* (cbrt h0) (* (cbrt h0) (cbrt h0)))) (fma 1 (sqrt (+ (* h0 h0) (* h1 h1))) (- (* (sqrt h0) (sqrt h0)))) (fma (- (sqrt h0)) (sqrt h0) (* (sqrt h0) (sqrt h0))) (fma 1 (sqrt (+ (* h0 h0) (* h1 h1))) (- (* h0 1))) (fma (- h0) 1 (* h0 1)) (expm1 (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (log1p (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (- h0) (- h0) (- h0) (- h0) (- h0) (- h0) (/ (exp (sqrt (+ (* h0 h0) (* h1 h1)))) (exp h0)) (log (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (exp (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (* (cbrt (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (cbrt (- (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (cbrt (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (* (* (- (sqrt (+ (* h0 h0) (* h1 h1))) h0) (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (sqrt (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (sqrt (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (- (pow (sqrt (+ (* h0 h0) (* h1 h1))) 3) (pow h0 3)) (+ (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (+ (* h0 h0) (* (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (- h0) (- (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (* h0 h0)) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0) (+ (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt h0)) (- (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt h0)) (+ (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt h0)) (- (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt h0)) (- (sqrt (+ (* h0 h0) (* h1 h1))) h0) (- h0) (expm1 (+ (* h0 h0) (* h1 h1))) (log1p (+ (* h0 h0) (* h1 h1))) (* (exp (* h0 h0)) (exp (* h1 h1))) (log (+ (* h0 h0) (* h1 h1))) (exp (+ (* h0 h0) (* h1 h1))) (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1))) (* (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1))) (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3)) (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))) (- (* h0 h0) (* h1 h1)) h1 h0 (* -1 h0) (- h1 h0) 0 (* -2 h0) (+ (pow h0 2) (pow h1 2)) (+ (pow h0 2) (pow h1 2)) (+ (pow h0 2) (pow h1 2)) 0.231 * * [simplify]: iteration 0 : 250 enodes (cost 664 ) 0.236 * * [simplify]: iteration 1 : 1037 enodes (cost 430 ) 0.258 * * [simplify]: iteration 2 : 5002 enodes (cost 381 ) 0.261 * [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)) 0.261 * * * [progress]: adding candidates to table 0.433 * * [progress]: iteration 2 / 4 0.433 * * * [progress]: picking best candidate 0.444 * * * * [pick]: Picked # 0.444 * * * [progress]: localizing error 0.451 * * * [progress]: generating rewritten candidates 0.451 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 2) 0.458 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1 2 1) 0.459 * * * [progress]: generating series expansions 0.459 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 2) 0.459 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 0.459 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 0.459 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.461 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.461 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.461 * [taylor]: Taking taylor expansion of (* re re) in im 0.461 * [taylor]: Taking taylor expansion of re in im 0.461 * [taylor]: Taking taylor expansion of re in im 0.461 * [taylor]: Taking taylor expansion of (* im im) in im 0.461 * [taylor]: Taking taylor expansion of im in im 0.461 * [taylor]: Taking taylor expansion of im in im 0.462 * [taylor]: Taking taylor expansion of re in im 0.462 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.462 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.462 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.462 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.462 * [taylor]: Taking taylor expansion of (* re re) in re 0.462 * [taylor]: Taking taylor expansion of re in re 0.462 * [taylor]: Taking taylor expansion of re in re 0.462 * [taylor]: Taking taylor expansion of (* im im) in re 0.462 * [taylor]: Taking taylor expansion of im in re 0.462 * [taylor]: Taking taylor expansion of im in re 0.463 * [taylor]: Taking taylor expansion of re in re 0.463 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.463 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.463 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.463 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.463 * [taylor]: Taking taylor expansion of (* re re) in re 0.463 * [taylor]: Taking taylor expansion of re in re 0.464 * [taylor]: Taking taylor expansion of re in re 0.464 * [taylor]: Taking taylor expansion of (* im im) in re 0.464 * [taylor]: Taking taylor expansion of im in re 0.464 * [taylor]: Taking taylor expansion of im in re 0.465 * [taylor]: Taking taylor expansion of re in re 0.465 * [taylor]: Taking taylor expansion of im in im 0.465 * [taylor]: Taking taylor expansion of -1 in im 0.467 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.467 * [taylor]: Taking taylor expansion of 1/2 in im 0.467 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.467 * [taylor]: Taking taylor expansion of im in im 0.470 * [taylor]: Taking taylor expansion of 0 in im 0.471 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 0.471 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.471 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.471 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.471 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.471 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.471 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.471 * [taylor]: Taking taylor expansion of re in im 0.471 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.471 * [taylor]: Taking taylor expansion of re in im 0.471 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.471 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.471 * [taylor]: Taking taylor expansion of im in im 0.471 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.471 * [taylor]: Taking taylor expansion of im in im 0.474 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.474 * [taylor]: Taking taylor expansion of re in im 0.474 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.474 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.474 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.474 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.474 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.474 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.474 * [taylor]: Taking taylor expansion of re in re 0.474 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.474 * [taylor]: Taking taylor expansion of re in re 0.474 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.474 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.474 * [taylor]: Taking taylor expansion of im in re 0.475 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.475 * [taylor]: Taking taylor expansion of im in re 0.477 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.477 * [taylor]: Taking taylor expansion of re in re 0.477 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.477 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.477 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.477 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.477 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.477 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.477 * [taylor]: Taking taylor expansion of re in re 0.477 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.477 * [taylor]: Taking taylor expansion of re in re 0.478 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.478 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.478 * [taylor]: Taking taylor expansion of im in re 0.478 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.478 * [taylor]: Taking taylor expansion of im in re 0.480 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.480 * [taylor]: Taking taylor expansion of re in re 0.481 * [taylor]: Taking taylor expansion of 0 in im 0.481 * [taylor]: Taking taylor expansion of 0 in im 0.484 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.485 * [taylor]: Taking taylor expansion of 1/2 in im 0.485 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.485 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.485 * [taylor]: Taking taylor expansion of im in im 0.489 * [taylor]: Taking taylor expansion of 0 in im 0.490 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 0.491 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 0.491 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.491 * [taylor]: Taking taylor expansion of re in im 0.491 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.491 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.491 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.491 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.491 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.491 * [taylor]: Taking taylor expansion of -1 in im 0.491 * [taylor]: Taking taylor expansion of re in im 0.491 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.491 * [taylor]: Taking taylor expansion of -1 in im 0.491 * [taylor]: Taking taylor expansion of re in im 0.491 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.491 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.491 * [taylor]: Taking taylor expansion of -1 in im 0.491 * [taylor]: Taking taylor expansion of im in im 0.491 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.491 * [taylor]: Taking taylor expansion of -1 in im 0.491 * [taylor]: Taking taylor expansion of im in im 0.494 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.494 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.494 * [taylor]: Taking taylor expansion of re in re 0.494 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.494 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.494 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.494 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.494 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.494 * [taylor]: Taking taylor expansion of -1 in re 0.494 * [taylor]: Taking taylor expansion of re in re 0.494 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.495 * [taylor]: Taking taylor expansion of -1 in re 0.495 * [taylor]: Taking taylor expansion of re in re 0.495 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.495 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.495 * [taylor]: Taking taylor expansion of -1 in re 0.495 * [taylor]: Taking taylor expansion of im in re 0.495 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.495 * [taylor]: Taking taylor expansion of -1 in re 0.495 * [taylor]: Taking taylor expansion of im in re 0.497 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.497 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.497 * [taylor]: Taking taylor expansion of re in re 0.497 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.498 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.498 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.498 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.498 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.498 * [taylor]: Taking taylor expansion of -1 in re 0.498 * [taylor]: Taking taylor expansion of re in re 0.498 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.498 * [taylor]: Taking taylor expansion of -1 in re 0.498 * [taylor]: Taking taylor expansion of re in re 0.498 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.498 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.498 * [taylor]: Taking taylor expansion of -1 in re 0.498 * [taylor]: Taking taylor expansion of im in re 0.498 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.498 * [taylor]: Taking taylor expansion of -1 in re 0.498 * [taylor]: Taking taylor expansion of im in re 0.501 * [taylor]: Taking taylor expansion of 2 in im 0.501 * [taylor]: Taking taylor expansion of 0 in im 0.504 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.504 * [taylor]: Taking taylor expansion of 1/2 in im 0.504 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.504 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.504 * [taylor]: Taking taylor expansion of im in im 0.509 * [taylor]: Taking taylor expansion of 0 in im 0.510 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1 2 1) 0.510 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.510 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.510 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.510 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.510 * [taylor]: Taking taylor expansion of (* re re) in im 0.510 * [taylor]: Taking taylor expansion of re in im 0.510 * [taylor]: Taking taylor expansion of re in im 0.510 * [taylor]: Taking taylor expansion of (* im im) in im 0.510 * [taylor]: Taking taylor expansion of im in im 0.510 * [taylor]: Taking taylor expansion of im in im 0.511 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.512 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.512 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.512 * [taylor]: Taking taylor expansion of (* re re) in re 0.512 * [taylor]: Taking taylor expansion of re in re 0.512 * [taylor]: Taking taylor expansion of re in re 0.512 * [taylor]: Taking taylor expansion of (* im im) in re 0.512 * [taylor]: Taking taylor expansion of im in re 0.512 * [taylor]: Taking taylor expansion of im in re 0.513 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.513 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.513 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.513 * [taylor]: Taking taylor expansion of (* re re) in re 0.513 * [taylor]: Taking taylor expansion of re in re 0.513 * [taylor]: Taking taylor expansion of re in re 0.513 * [taylor]: Taking taylor expansion of (* im im) in re 0.513 * [taylor]: Taking taylor expansion of im in re 0.513 * [taylor]: Taking taylor expansion of im in re 0.514 * [taylor]: Taking taylor expansion of im in im 0.514 * [taylor]: Taking taylor expansion of 0 in im 0.515 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.515 * [taylor]: Taking taylor expansion of 1/2 in im 0.515 * [taylor]: Taking taylor expansion of im in im 0.517 * [taylor]: Taking taylor expansion of 0 in im 0.518 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.518 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.518 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.518 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.518 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.518 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.518 * [taylor]: Taking taylor expansion of re in im 0.518 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.518 * [taylor]: Taking taylor expansion of re in im 0.518 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.518 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.518 * [taylor]: Taking taylor expansion of im in im 0.518 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.518 * [taylor]: Taking taylor expansion of im in im 0.521 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.521 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.521 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.521 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.521 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.521 * [taylor]: Taking taylor expansion of re in re 0.521 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.521 * [taylor]: Taking taylor expansion of re in re 0.522 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.522 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.522 * [taylor]: Taking taylor expansion of im in re 0.522 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.522 * [taylor]: Taking taylor expansion of im in re 0.524 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.524 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.524 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.524 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.524 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.524 * [taylor]: Taking taylor expansion of re in re 0.524 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.524 * [taylor]: Taking taylor expansion of re in re 0.525 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.525 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.525 * [taylor]: Taking taylor expansion of im in re 0.525 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.525 * [taylor]: Taking taylor expansion of im in re 0.530 * [taylor]: Taking taylor expansion of 1 in im 0.530 * [taylor]: Taking taylor expansion of 0 in im 0.532 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.532 * [taylor]: Taking taylor expansion of 1/2 in im 0.532 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.532 * [taylor]: Taking taylor expansion of im in im 0.535 * [taylor]: Taking taylor expansion of 0 in im 0.536 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.536 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.537 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.537 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.537 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.537 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.537 * [taylor]: Taking taylor expansion of -1 in im 0.537 * [taylor]: Taking taylor expansion of re in im 0.537 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.537 * [taylor]: Taking taylor expansion of -1 in im 0.537 * [taylor]: Taking taylor expansion of re in im 0.537 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.537 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.537 * [taylor]: Taking taylor expansion of -1 in im 0.537 * [taylor]: Taking taylor expansion of im in im 0.537 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.537 * [taylor]: Taking taylor expansion of -1 in im 0.537 * [taylor]: Taking taylor expansion of im in im 0.540 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.540 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.540 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.540 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.540 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.540 * [taylor]: Taking taylor expansion of -1 in re 0.540 * [taylor]: Taking taylor expansion of re in re 0.540 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.540 * [taylor]: Taking taylor expansion of -1 in re 0.540 * [taylor]: Taking taylor expansion of re in re 0.540 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.540 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.540 * [taylor]: Taking taylor expansion of -1 in re 0.540 * [taylor]: Taking taylor expansion of im in re 0.541 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.541 * [taylor]: Taking taylor expansion of -1 in re 0.541 * [taylor]: Taking taylor expansion of im in re 0.543 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.543 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.543 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.543 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.543 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.543 * [taylor]: Taking taylor expansion of -1 in re 0.543 * [taylor]: Taking taylor expansion of re in re 0.543 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.543 * [taylor]: Taking taylor expansion of -1 in re 0.543 * [taylor]: Taking taylor expansion of re in re 0.544 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.544 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.544 * [taylor]: Taking taylor expansion of -1 in re 0.544 * [taylor]: Taking taylor expansion of im in re 0.544 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.544 * [taylor]: Taking taylor expansion of -1 in re 0.544 * [taylor]: Taking taylor expansion of im in re 0.546 * [taylor]: Taking taylor expansion of 1 in im 0.546 * [taylor]: Taking taylor expansion of 0 in im 0.548 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.548 * [taylor]: Taking taylor expansion of 1/2 in im 0.548 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.548 * [taylor]: Taking taylor expansion of im in im 0.552 * [taylor]: Taking taylor expansion of 0 in im 0.553 * * * [progress]: simplifying candidates 0.554 * [simplify]: Simplifying using # : (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma 1 (hypot re im) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma 1 (hypot re im) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma 1 (hypot re im) (- (* re 1))) (fma (- re) 1 (* re 1)) (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (- re) (- re) (/ (exp (hypot re im)) (exp re)) (log (- (hypot re im) re)) (exp (- (hypot re im) re)) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (- (pow (hypot re im) 3) (pow re 3)) (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re))) (- re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- (hypot re im) re) (- re) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (- im re) 0 (* -2 re) im re (* -1 re) 0.554 * [simplify]: Sending expressions to egg_math: (fma (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1)) (- (* (cbrt h0) (* (cbrt h0) (cbrt h0))))) (fma (- (cbrt h0)) (* (cbrt h0) (cbrt h0)) (* (cbrt h0) (* (cbrt h0) (cbrt h0)))) (fma (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1)) (- (* (sqrt h0) (sqrt h0)))) (fma (- (sqrt h0)) (sqrt h0) (* (sqrt h0) (sqrt h0))) (fma (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1)) (- (* h0 1))) (fma (- h0) 1 (* h0 1)) (fma (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)) (- (* (cbrt h0) (* (cbrt h0) (cbrt h0))))) (fma (- (cbrt h0)) (* (cbrt h0) (cbrt h0)) (* (cbrt h0) (* (cbrt h0) (cbrt h0)))) (fma (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)) (- (* (sqrt h0) (sqrt h0)))) (fma (- (sqrt h0)) (sqrt h0) (* (sqrt h0) (sqrt h0))) (fma (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)) (- (* h0 1))) (fma (- h0) 1 (* h0 1)) (fma 1 (hypot h0 h1) (- (* (cbrt h0) (* (cbrt h0) (cbrt h0))))) (fma (- (cbrt h0)) (* (cbrt h0) (cbrt h0)) (* (cbrt h0) (* (cbrt h0) (cbrt h0)))) (fma 1 (hypot h0 h1) (- (* (sqrt h0) (sqrt h0)))) (fma (- (sqrt h0)) (sqrt h0) (* (sqrt h0) (sqrt h0))) (fma 1 (hypot h0 h1) (- (* h0 1))) (fma (- h0) 1 (* h0 1)) (expm1 (- (hypot h0 h1) h0)) (log1p (- (hypot h0 h1) h0)) (- h0) (- h0) (- h0) (/ (exp (hypot h0 h1)) (exp h0)) (log (- (hypot h0 h1) h0)) (exp (- (hypot h0 h1) h0)) (* (cbrt (- (hypot h0 h1) h0)) (cbrt (- (hypot h0 h1) h0))) (cbrt (- (hypot h0 h1) h0)) (* (* (- (hypot h0 h1) h0) (- (hypot h0 h1) h0)) (- (hypot h0 h1) h0)) (sqrt (- (hypot h0 h1) h0)) (sqrt (- (hypot h0 h1) h0)) (- (pow (hypot h0 h1) 3) (pow h0 3)) (+ (* (hypot h0 h1) (hypot h0 h1)) (+ (* h0 h0) (* (hypot h0 h1) h0))) (- h0) (- (* (hypot h0 h1) (hypot h0 h1)) (* h0 h0)) (+ (hypot h0 h1) h0) (+ (sqrt (hypot h0 h1)) (sqrt h0)) (- (sqrt (hypot h0 h1)) (sqrt h0)) (- (hypot h0 h1) h0) (- h0) (expm1 (hypot h0 h1)) (log1p (hypot h0 h1)) (+ (* h0 h0) (* h1 h1)) (log (hypot h0 h1)) (exp (hypot h0 h1)) (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1)) (* (* (hypot h0 h1) (hypot h0 h1)) (hypot h0 h1)) (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)) (- h1 h0) 0 (* -2 h0) h1 h0 (* -1 h0) 0.557 * * [simplify]: iteration 0 : 130 enodes (cost 223 ) 0.559 * * [simplify]: iteration 1 : 366 enodes (cost 140 ) 0.568 * * [simplify]: iteration 2 : 1695 enodes (cost 131 ) 0.601 * * [simplify]: iteration 3 : 5001 enodes (cost 109 ) 0.602 * [simplify]: Simplified to: (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (* -1 re) (* -1 re) (* -1 re) (exp (- (hypot re im) re)) (log (- (hypot re im) re)) (exp (- (hypot re im) re)) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (pow (- (hypot re im) re) 3) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (- (pow (hypot re im) 3) (pow re 3)) (fma (hypot re im) (+ (hypot re im) re) (* re re)) (* -1 re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- (hypot re im) re) (* -1 re) (expm1 (hypot re im)) (log1p (hypot re im)) (fma re re (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (sqrt (hypot re im)) (sqrt (hypot re im)) (- im re) 0 (* -2 re) im re (* -1 re) 0.603 * * * [progress]: adding candidates to table 0.690 * * [progress]: iteration 3 / 4 0.690 * * * [progress]: picking best candidate 0.701 * * * * [pick]: Picked # 0.701 * * * [progress]: localizing error 0.711 * * * [progress]: generating rewritten candidates 0.711 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2) 0.725 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1) 0.738 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 2 1) 0.739 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1 1) 0.741 * * * [progress]: generating series expansions 0.741 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2) 0.742 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 0.742 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 0.742 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.742 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.742 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.742 * [taylor]: Taking taylor expansion of (* re re) in im 0.742 * [taylor]: Taking taylor expansion of re in im 0.742 * [taylor]: Taking taylor expansion of re in im 0.742 * [taylor]: Taking taylor expansion of (* im im) in im 0.742 * [taylor]: Taking taylor expansion of im in im 0.742 * [taylor]: Taking taylor expansion of im in im 0.743 * [taylor]: Taking taylor expansion of re in im 0.743 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.743 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.743 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.743 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.743 * [taylor]: Taking taylor expansion of (* re re) in re 0.743 * [taylor]: Taking taylor expansion of re in re 0.743 * [taylor]: Taking taylor expansion of re in re 0.743 * [taylor]: Taking taylor expansion of (* im im) in re 0.743 * [taylor]: Taking taylor expansion of im in re 0.743 * [taylor]: Taking taylor expansion of im in re 0.744 * [taylor]: Taking taylor expansion of re in re 0.744 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.744 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.744 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.744 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.744 * [taylor]: Taking taylor expansion of (* re re) in re 0.744 * [taylor]: Taking taylor expansion of re in re 0.745 * [taylor]: Taking taylor expansion of re in re 0.745 * [taylor]: Taking taylor expansion of (* im im) in re 0.745 * [taylor]: Taking taylor expansion of im in re 0.745 * [taylor]: Taking taylor expansion of im in re 0.746 * [taylor]: Taking taylor expansion of re in re 0.746 * [taylor]: Taking taylor expansion of im in im 0.746 * [taylor]: Taking taylor expansion of -1 in im 0.748 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.748 * [taylor]: Taking taylor expansion of 1/2 in im 0.748 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.748 * [taylor]: Taking taylor expansion of im in im 0.750 * [taylor]: Taking taylor expansion of 0 in im 0.752 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 0.752 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.752 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.752 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.752 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.752 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.752 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.752 * [taylor]: Taking taylor expansion of re in im 0.752 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.752 * [taylor]: Taking taylor expansion of re in im 0.752 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.752 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.752 * [taylor]: Taking taylor expansion of im in im 0.752 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.752 * [taylor]: Taking taylor expansion of im in im 0.755 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.755 * [taylor]: Taking taylor expansion of re in im 0.755 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.755 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.755 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.755 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.755 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.755 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.755 * [taylor]: Taking taylor expansion of re in re 0.755 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.755 * [taylor]: Taking taylor expansion of re in re 0.756 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.756 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.756 * [taylor]: Taking taylor expansion of im in re 0.756 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.756 * [taylor]: Taking taylor expansion of im in re 0.761 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.761 * [taylor]: Taking taylor expansion of re in re 0.761 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.761 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.761 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.761 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.761 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.761 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.761 * [taylor]: Taking taylor expansion of re in re 0.762 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.762 * [taylor]: Taking taylor expansion of re in re 0.762 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.762 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.762 * [taylor]: Taking taylor expansion of im in re 0.762 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.762 * [taylor]: Taking taylor expansion of im in re 0.764 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.764 * [taylor]: Taking taylor expansion of re in re 0.765 * [taylor]: Taking taylor expansion of 0 in im 0.766 * [taylor]: Taking taylor expansion of 0 in im 0.769 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.769 * [taylor]: Taking taylor expansion of 1/2 in im 0.769 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.769 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.769 * [taylor]: Taking taylor expansion of im in im 0.773 * [taylor]: Taking taylor expansion of 0 in im 0.775 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 0.775 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 0.775 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.775 * [taylor]: Taking taylor expansion of re in im 0.775 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.775 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.775 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.775 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.775 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.775 * [taylor]: Taking taylor expansion of -1 in im 0.775 * [taylor]: Taking taylor expansion of re in im 0.775 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.775 * [taylor]: Taking taylor expansion of -1 in im 0.775 * [taylor]: Taking taylor expansion of re in im 0.775 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.775 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.775 * [taylor]: Taking taylor expansion of -1 in im 0.775 * [taylor]: Taking taylor expansion of im in im 0.775 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.776 * [taylor]: Taking taylor expansion of -1 in im 0.776 * [taylor]: Taking taylor expansion of im in im 0.778 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.778 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.778 * [taylor]: Taking taylor expansion of re in re 0.778 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.778 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.778 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.778 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.779 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.779 * [taylor]: Taking taylor expansion of -1 in re 0.779 * [taylor]: Taking taylor expansion of re in re 0.779 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.779 * [taylor]: Taking taylor expansion of -1 in re 0.779 * [taylor]: Taking taylor expansion of re in re 0.779 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.779 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.779 * [taylor]: Taking taylor expansion of -1 in re 0.779 * [taylor]: Taking taylor expansion of im in re 0.779 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.779 * [taylor]: Taking taylor expansion of -1 in re 0.779 * [taylor]: Taking taylor expansion of im in re 0.782 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.782 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.782 * [taylor]: Taking taylor expansion of re in re 0.782 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.782 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.782 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.782 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.782 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.782 * [taylor]: Taking taylor expansion of -1 in re 0.782 * [taylor]: Taking taylor expansion of re in re 0.782 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.782 * [taylor]: Taking taylor expansion of -1 in re 0.782 * [taylor]: Taking taylor expansion of re in re 0.783 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.783 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.783 * [taylor]: Taking taylor expansion of -1 in re 0.783 * [taylor]: Taking taylor expansion of im in re 0.783 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.783 * [taylor]: Taking taylor expansion of -1 in re 0.783 * [taylor]: Taking taylor expansion of im in re 0.785 * [taylor]: Taking taylor expansion of 2 in im 0.786 * [taylor]: Taking taylor expansion of 0 in im 0.789 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.789 * [taylor]: Taking taylor expansion of 1/2 in im 0.789 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.789 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.789 * [taylor]: Taking taylor expansion of im in im 0.793 * [taylor]: Taking taylor expansion of 0 in im 0.795 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1) 0.795 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.795 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.795 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.795 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.795 * [taylor]: Taking taylor expansion of (* re re) in im 0.795 * [taylor]: Taking taylor expansion of re in im 0.795 * [taylor]: Taking taylor expansion of re in im 0.795 * [taylor]: Taking taylor expansion of (* im im) in im 0.795 * [taylor]: Taking taylor expansion of im in im 0.795 * [taylor]: Taking taylor expansion of im in im 0.796 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.796 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.796 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.796 * [taylor]: Taking taylor expansion of (* re re) in re 0.796 * [taylor]: Taking taylor expansion of re in re 0.796 * [taylor]: Taking taylor expansion of re in re 0.796 * [taylor]: Taking taylor expansion of (* im im) in re 0.796 * [taylor]: Taking taylor expansion of im in re 0.796 * [taylor]: Taking taylor expansion of im in re 0.797 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.798 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.798 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.798 * [taylor]: Taking taylor expansion of (* re re) in re 0.798 * [taylor]: Taking taylor expansion of re in re 0.798 * [taylor]: Taking taylor expansion of re in re 0.798 * [taylor]: Taking taylor expansion of (* im im) in re 0.798 * [taylor]: Taking taylor expansion of im in re 0.798 * [taylor]: Taking taylor expansion of im in re 0.799 * [taylor]: Taking taylor expansion of im in im 0.799 * [taylor]: Taking taylor expansion of 0 in im 0.800 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.800 * [taylor]: Taking taylor expansion of 1/2 in im 0.800 * [taylor]: Taking taylor expansion of im in im 0.802 * [taylor]: Taking taylor expansion of 0 in im 0.803 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.803 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.803 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.803 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.803 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.803 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.803 * [taylor]: Taking taylor expansion of re in im 0.803 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.803 * [taylor]: Taking taylor expansion of re in im 0.803 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.803 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.803 * [taylor]: Taking taylor expansion of im in im 0.804 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.804 * [taylor]: Taking taylor expansion of im in im 0.806 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.806 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.806 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.806 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.806 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.806 * [taylor]: Taking taylor expansion of re in re 0.806 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.806 * [taylor]: Taking taylor expansion of re in re 0.807 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.807 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.807 * [taylor]: Taking taylor expansion of im in re 0.807 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.807 * [taylor]: Taking taylor expansion of im in re 0.809 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.809 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.809 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.809 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.809 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.809 * [taylor]: Taking taylor expansion of re in re 0.809 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.809 * [taylor]: Taking taylor expansion of re in re 0.810 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.810 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.810 * [taylor]: Taking taylor expansion of im in re 0.810 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.810 * [taylor]: Taking taylor expansion of im in re 0.812 * [taylor]: Taking taylor expansion of 1 in im 0.812 * [taylor]: Taking taylor expansion of 0 in im 0.814 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.814 * [taylor]: Taking taylor expansion of 1/2 in im 0.814 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.814 * [taylor]: Taking taylor expansion of im in im 0.818 * [taylor]: Taking taylor expansion of 0 in im 0.819 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.819 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.819 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.819 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.819 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.819 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.819 * [taylor]: Taking taylor expansion of -1 in im 0.819 * [taylor]: Taking taylor expansion of re in im 0.819 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.819 * [taylor]: Taking taylor expansion of -1 in im 0.819 * [taylor]: Taking taylor expansion of re in im 0.819 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.819 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.819 * [taylor]: Taking taylor expansion of -1 in im 0.819 * [taylor]: Taking taylor expansion of im in im 0.819 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.819 * [taylor]: Taking taylor expansion of -1 in im 0.819 * [taylor]: Taking taylor expansion of im in im 0.822 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.822 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.822 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.822 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.822 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.822 * [taylor]: Taking taylor expansion of -1 in re 0.822 * [taylor]: Taking taylor expansion of re in re 0.823 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.823 * [taylor]: Taking taylor expansion of -1 in re 0.823 * [taylor]: Taking taylor expansion of re in re 0.823 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.823 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.823 * [taylor]: Taking taylor expansion of -1 in re 0.823 * [taylor]: Taking taylor expansion of im in re 0.823 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.823 * [taylor]: Taking taylor expansion of -1 in re 0.823 * [taylor]: Taking taylor expansion of im in re 0.825 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.825 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.825 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.825 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.825 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.825 * [taylor]: Taking taylor expansion of -1 in re 0.825 * [taylor]: Taking taylor expansion of re in re 0.826 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.826 * [taylor]: Taking taylor expansion of -1 in re 0.826 * [taylor]: Taking taylor expansion of re in re 0.826 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.826 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.826 * [taylor]: Taking taylor expansion of -1 in re 0.826 * [taylor]: Taking taylor expansion of im in re 0.826 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.826 * [taylor]: Taking taylor expansion of -1 in re 0.826 * [taylor]: Taking taylor expansion of im in re 0.829 * [taylor]: Taking taylor expansion of 1 in im 0.829 * [taylor]: Taking taylor expansion of 0 in im 0.831 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.831 * [taylor]: Taking taylor expansion of 1/2 in im 0.831 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.831 * [taylor]: Taking taylor expansion of im in im 0.834 * [taylor]: Taking taylor expansion of 0 in im 0.835 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 2 1) 0.836 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.836 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.836 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.836 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.836 * [taylor]: Taking taylor expansion of (* re re) in im 0.836 * [taylor]: Taking taylor expansion of re in im 0.836 * [taylor]: Taking taylor expansion of re in im 0.836 * [taylor]: Taking taylor expansion of (* im im) in im 0.836 * [taylor]: Taking taylor expansion of im in im 0.836 * [taylor]: Taking taylor expansion of im in im 0.837 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.837 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.837 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.837 * [taylor]: Taking taylor expansion of (* re re) in re 0.837 * [taylor]: Taking taylor expansion of re in re 0.837 * [taylor]: Taking taylor expansion of re in re 0.837 * [taylor]: Taking taylor expansion of (* im im) in re 0.837 * [taylor]: Taking taylor expansion of im in re 0.837 * [taylor]: Taking taylor expansion of im in re 0.838 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.838 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.838 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.838 * [taylor]: Taking taylor expansion of (* re re) in re 0.838 * [taylor]: Taking taylor expansion of re in re 0.838 * [taylor]: Taking taylor expansion of re in re 0.838 * [taylor]: Taking taylor expansion of (* im im) in re 0.838 * [taylor]: Taking taylor expansion of im in re 0.838 * [taylor]: Taking taylor expansion of im in re 0.839 * [taylor]: Taking taylor expansion of im in im 0.839 * [taylor]: Taking taylor expansion of 0 in im 0.841 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.841 * [taylor]: Taking taylor expansion of 1/2 in im 0.841 * [taylor]: Taking taylor expansion of im in im 0.843 * [taylor]: Taking taylor expansion of 0 in im 0.843 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.843 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.843 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.843 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.843 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.843 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.843 * [taylor]: Taking taylor expansion of re in im 0.843 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.843 * [taylor]: Taking taylor expansion of re in im 0.843 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.844 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.844 * [taylor]: Taking taylor expansion of im in im 0.844 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.844 * [taylor]: Taking taylor expansion of im in im 0.849 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.849 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.849 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.849 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.849 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.849 * [taylor]: Taking taylor expansion of re in re 0.849 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.849 * [taylor]: Taking taylor expansion of re in re 0.850 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.850 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.850 * [taylor]: Taking taylor expansion of im in re 0.850 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.850 * [taylor]: Taking taylor expansion of im in re 0.852 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.852 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.852 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.852 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.852 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.852 * [taylor]: Taking taylor expansion of re in re 0.852 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.852 * [taylor]: Taking taylor expansion of re in re 0.853 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.853 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.853 * [taylor]: Taking taylor expansion of im in re 0.853 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.853 * [taylor]: Taking taylor expansion of im in re 0.855 * [taylor]: Taking taylor expansion of 1 in im 0.855 * [taylor]: Taking taylor expansion of 0 in im 0.858 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.858 * [taylor]: Taking taylor expansion of 1/2 in im 0.858 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.858 * [taylor]: Taking taylor expansion of im in im 0.861 * [taylor]: Taking taylor expansion of 0 in im 0.862 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.862 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.862 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.862 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.862 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.862 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.862 * [taylor]: Taking taylor expansion of -1 in im 0.862 * [taylor]: Taking taylor expansion of re in im 0.862 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.862 * [taylor]: Taking taylor expansion of -1 in im 0.862 * [taylor]: Taking taylor expansion of re in im 0.863 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.863 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.863 * [taylor]: Taking taylor expansion of -1 in im 0.863 * [taylor]: Taking taylor expansion of im in im 0.863 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.863 * [taylor]: Taking taylor expansion of -1 in im 0.863 * [taylor]: Taking taylor expansion of im in im 0.865 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.865 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.866 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.866 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.866 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.866 * [taylor]: Taking taylor expansion of -1 in re 0.866 * [taylor]: Taking taylor expansion of re in re 0.866 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.866 * [taylor]: Taking taylor expansion of -1 in re 0.866 * [taylor]: Taking taylor expansion of re in re 0.866 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.866 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.866 * [taylor]: Taking taylor expansion of -1 in re 0.866 * [taylor]: Taking taylor expansion of im in re 0.866 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.866 * [taylor]: Taking taylor expansion of -1 in re 0.866 * [taylor]: Taking taylor expansion of im in re 0.869 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.869 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.869 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.869 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.869 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.869 * [taylor]: Taking taylor expansion of -1 in re 0.869 * [taylor]: Taking taylor expansion of re in re 0.869 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.869 * [taylor]: Taking taylor expansion of -1 in re 0.869 * [taylor]: Taking taylor expansion of re in re 0.869 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.869 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.869 * [taylor]: Taking taylor expansion of -1 in re 0.869 * [taylor]: Taking taylor expansion of im in re 0.869 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.869 * [taylor]: Taking taylor expansion of -1 in re 0.869 * [taylor]: Taking taylor expansion of im in re 0.872 * [taylor]: Taking taylor expansion of 1 in im 0.872 * [taylor]: Taking taylor expansion of 0 in im 0.874 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.874 * [taylor]: Taking taylor expansion of 1/2 in im 0.874 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.874 * [taylor]: Taking taylor expansion of im in im 0.878 * [taylor]: Taking taylor expansion of 0 in im 0.879 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1 1) 0.879 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.879 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.879 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.879 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.879 * [taylor]: Taking taylor expansion of (* re re) in im 0.879 * [taylor]: Taking taylor expansion of re in im 0.879 * [taylor]: Taking taylor expansion of re in im 0.879 * [taylor]: Taking taylor expansion of (* im im) in im 0.879 * [taylor]: Taking taylor expansion of im in im 0.879 * [taylor]: Taking taylor expansion of im in im 0.880 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.880 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.880 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.880 * [taylor]: Taking taylor expansion of (* re re) in re 0.880 * [taylor]: Taking taylor expansion of re in re 0.880 * [taylor]: Taking taylor expansion of re in re 0.880 * [taylor]: Taking taylor expansion of (* im im) in re 0.880 * [taylor]: Taking taylor expansion of im in re 0.880 * [taylor]: Taking taylor expansion of im in re 0.881 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.881 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.881 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.881 * [taylor]: Taking taylor expansion of (* re re) in re 0.881 * [taylor]: Taking taylor expansion of re in re 0.881 * [taylor]: Taking taylor expansion of re in re 0.881 * [taylor]: Taking taylor expansion of (* im im) in re 0.881 * [taylor]: Taking taylor expansion of im in re 0.881 * [taylor]: Taking taylor expansion of im in re 0.883 * [taylor]: Taking taylor expansion of im in im 0.883 * [taylor]: Taking taylor expansion of 0 in im 0.884 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.884 * [taylor]: Taking taylor expansion of 1/2 in im 0.884 * [taylor]: Taking taylor expansion of im in im 0.886 * [taylor]: Taking taylor expansion of 0 in im 0.887 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.887 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.887 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.887 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.887 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.887 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.887 * [taylor]: Taking taylor expansion of re in im 0.887 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.887 * [taylor]: Taking taylor expansion of re in im 0.887 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.887 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.887 * [taylor]: Taking taylor expansion of im in im 0.887 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.887 * [taylor]: Taking taylor expansion of im in im 0.890 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.890 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.890 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.890 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.890 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.890 * [taylor]: Taking taylor expansion of re in re 0.890 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.890 * [taylor]: Taking taylor expansion of re in re 0.890 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.890 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.890 * [taylor]: Taking taylor expansion of im in re 0.890 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.890 * [taylor]: Taking taylor expansion of im in re 0.892 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.893 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.893 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.893 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.893 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.893 * [taylor]: Taking taylor expansion of re in re 0.893 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.893 * [taylor]: Taking taylor expansion of re in re 0.893 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.893 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.893 * [taylor]: Taking taylor expansion of im in re 0.893 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.893 * [taylor]: Taking taylor expansion of im in re 0.895 * [taylor]: Taking taylor expansion of 1 in im 0.896 * [taylor]: Taking taylor expansion of 0 in im 0.898 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.898 * [taylor]: Taking taylor expansion of 1/2 in im 0.898 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.898 * [taylor]: Taking taylor expansion of im in im 0.901 * [taylor]: Taking taylor expansion of 0 in im 0.902 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.902 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.902 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.902 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.902 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.902 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.902 * [taylor]: Taking taylor expansion of -1 in im 0.902 * [taylor]: Taking taylor expansion of re in im 0.902 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.902 * [taylor]: Taking taylor expansion of -1 in im 0.903 * [taylor]: Taking taylor expansion of re in im 0.903 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.903 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.903 * [taylor]: Taking taylor expansion of -1 in im 0.903 * [taylor]: Taking taylor expansion of im in im 0.903 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.903 * [taylor]: Taking taylor expansion of -1 in im 0.903 * [taylor]: Taking taylor expansion of im in im 0.906 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.906 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.906 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.906 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.906 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.906 * [taylor]: Taking taylor expansion of -1 in re 0.906 * [taylor]: Taking taylor expansion of re in re 0.906 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.906 * [taylor]: Taking taylor expansion of -1 in re 0.906 * [taylor]: Taking taylor expansion of re in re 0.906 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.906 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.906 * [taylor]: Taking taylor expansion of -1 in re 0.906 * [taylor]: Taking taylor expansion of im in re 0.906 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.906 * [taylor]: Taking taylor expansion of -1 in re 0.906 * [taylor]: Taking taylor expansion of im in re 0.909 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.909 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.909 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.909 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.909 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.909 * [taylor]: Taking taylor expansion of -1 in re 0.909 * [taylor]: Taking taylor expansion of re in re 0.909 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.909 * [taylor]: Taking taylor expansion of -1 in re 0.909 * [taylor]: Taking taylor expansion of re in re 0.910 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.910 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.910 * [taylor]: Taking taylor expansion of -1 in re 0.910 * [taylor]: Taking taylor expansion of im in re 0.910 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.910 * [taylor]: Taking taylor expansion of -1 in re 0.910 * [taylor]: Taking taylor expansion of im in re 0.912 * [taylor]: Taking taylor expansion of 1 in im 0.912 * [taylor]: Taking taylor expansion of 0 in im 0.914 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.914 * [taylor]: Taking taylor expansion of 1/2 in im 0.915 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.915 * [taylor]: Taking taylor expansion of im in im 0.918 * [taylor]: Taking taylor expansion of 0 in im 0.919 * * * [progress]: simplifying candidates 0.920 * [simplify]: Simplifying using # : (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (expm1 (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (log1p (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (- re) (/ (exp (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (exp re)) (log (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (exp (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (* (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))) (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (* (* (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (sqrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (sqrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (- (pow (* (sqrt (hypot re im)) (sqrt (hypot re im))) 3) (pow re 3)) (+ (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (+ (* re re) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))) (- re) (- (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* re re)) (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- re) (expm1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log1p (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (hypot re im) (hypot re im)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (hypot re im) (hypot re im)) (+ 1 1) (+ (log (sqrt (hypot re im))) (log (sqrt (hypot re im)))) (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (exp (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im)))) (* (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (hypot re im) (hypot re im)) (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* 1 1) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (hypot re im)) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt 1)) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) 1) (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (- im re) 0 (* -2 re) im re (* -1 re) im re (* -1 re) im re (* -1 re) 0.921 * [simplify]: Sending expressions to egg_math: (fma (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)) (- (* (cbrt h0) (* (cbrt h0) (cbrt h0))))) (fma (- (cbrt h0)) (* (cbrt h0) (cbrt h0)) (* (cbrt h0) (* (cbrt h0) (cbrt h0)))) (fma (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)) (- (* (sqrt h0) (sqrt h0)))) (fma (- (sqrt h0)) (sqrt h0) (* (sqrt h0) (sqrt h0))) (fma (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)) (- (* h0 1))) (fma (- h0) 1 (* h0 1)) (expm1 (- (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) h0)) (log1p (- (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) h0)) (- h0) (/ (exp (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (exp h0)) (log (- (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) h0)) (exp (- (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) h0)) (* (cbrt (- (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) h0)) (cbrt (- (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) h0))) (cbrt (- (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) h0)) (* (* (- (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) h0) (- (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) h0)) (- (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) h0)) (sqrt (- (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) h0)) (sqrt (- (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) h0)) (- (pow (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) 3) (pow h0 3)) (+ (* (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (+ (* h0 h0) (* (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) h0))) (- h0) (- (* (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (* h0 h0)) (+ (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) h0) (+ (sqrt (hypot h0 h1)) (sqrt h0)) (- (sqrt (hypot h0 h1)) (sqrt h0)) (- h0) (expm1 (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (log1p (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (hypot h0 h1) (hypot h0 h1)) (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (* (hypot h0 h1) (hypot h0 h1)) (+ 1 1) (+ (log (sqrt (hypot h0 h1))) (log (sqrt (hypot h0 h1)))) (log (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (exp (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (* (* (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (sqrt (hypot h0 h1))) (* (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (sqrt (hypot h0 h1)))) (* (cbrt (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (cbrt (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))))) (cbrt (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (* (* (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (* (hypot h0 h1) (hypot h0 h1)) (sqrt (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (sqrt (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)))) (* (* (cbrt (sqrt (hypot h0 h1))) (cbrt (sqrt (hypot h0 h1)))) (* (cbrt (sqrt (hypot h0 h1))) (cbrt (sqrt (hypot h0 h1))))) (* (cbrt (sqrt (hypot h0 h1))) (cbrt (sqrt (hypot h0 h1)))) (* (sqrt (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1)))) (sqrt (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))))) (* (sqrt (cbrt (hypot h0 h1))) (sqrt (cbrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* 1 1) (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (sqrt (hypot h0 h1)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (hypot h0 h1)) (* (cbrt (sqrt (hypot h0 h1))) (cbrt (sqrt (hypot h0 h1))))) (* (sqrt (hypot h0 h1)) (sqrt (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))))) (* (sqrt (hypot h0 h1)) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (hypot h0 h1)) (sqrt 1)) (* (sqrt (hypot h0 h1)) (sqrt (sqrt (hypot h0 h1)))) (* (sqrt (hypot h0 h1)) 1) (* (cbrt (sqrt (hypot h0 h1))) (sqrt (hypot h0 h1))) (* (sqrt (cbrt (hypot h0 h1))) (sqrt (hypot h0 h1))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (hypot h0 h1))) (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (* (sqrt (sqrt (hypot h0 h1))) (sqrt (hypot h0 h1))) (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (expm1 (hypot h0 h1)) (log1p (hypot h0 h1)) (+ (* h0 h0) (* h1 h1)) (log (hypot h0 h1)) (exp (hypot h0 h1)) (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1)) (* (* (hypot h0 h1) (hypot h0 h1)) (hypot h0 h1)) (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)) (expm1 (hypot h0 h1)) (log1p (hypot h0 h1)) (+ (* h0 h0) (* h1 h1)) (log (hypot h0 h1)) (exp (hypot h0 h1)) (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1)) (* (* (hypot h0 h1) (hypot h0 h1)) (hypot h0 h1)) (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1)) (- h1 h0) 0 (* -2 h0) h1 h0 (* -1 h0) h1 h0 (* -1 h0) h1 h0 (* -1 h0) 0.925 * * [simplify]: iteration 0 : 198 enodes (cost 388 ) 0.929 * * [simplify]: iteration 1 : 788 enodes (cost 297 ) 0.955 * * [simplify]: iteration 2 : 5002 enodes (cost 285 ) 0.957 * [simplify]: Simplified to: (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (expm1 (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (log1p (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (* -1 re) (exp (- (hypot re im) re)) (log (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (exp (- (hypot re im) re)) (* (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))) (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (pow (- (hypot re im) re) 3) (sqrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (sqrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (+ (- (pow re 3)) (pow (hypot re im) 3)) (fma re (+ re (hypot re im)) (* (hypot re im) (hypot re im))) (* -1 re) (* (+ (hypot re im) re) (- (hypot re im) re)) (+ re (hypot re im)) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (* -1 re) (expm1 (hypot re im)) (log1p (hypot re im)) 1 1 2 1 1 (* (hypot re im) (hypot re im)) (hypot re im) (* (hypot re im) (hypot re im)) 2 (log (hypot re im)) (log (hypot re im)) (exp (hypot re im)) (pow (hypot re im) 3) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (* (hypot re im) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (pow (cbrt (sqrt (hypot re im))) 4) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 (hypot re im) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 (hypot re im) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 2 1 (* (pow (cbrt (sqrt (hypot re im))) 4) (cbrt (sqrt (hypot re im)))) (* (fabs (cbrt (hypot re im))) (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (hypot re im)) (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (hypot re im)) (pow (cbrt (sqrt (hypot re im))) 4) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3) (hypot re im) (pow (sqrt (sqrt (hypot re im))) 3) (hypot re im) (expm1 (hypot re im)) (log1p (hypot re im)) (fma re re (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (sqrt (hypot re im)) (sqrt (hypot re im)) (expm1 (hypot re im)) (log1p (hypot re im)) (fma re re (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (sqrt (hypot re im)) (sqrt (hypot re im)) (- im re) 0 (* -2 re) im re (* -1 re) im re (* -1 re) im re (* -1 re) 0.958 * * * [progress]: adding candidates to table 1.165 * * [progress]: iteration 4 / 4 1.165 * * * [progress]: picking best candidate 1.181 * * * * [pick]: Picked # 1.181 * * * [progress]: localizing error 1.199 * * * [progress]: generating rewritten candidates 1.199 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2) 1.288 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 2 1 2) 1.289 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 2 1 1 2) 1.290 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 2 1 1 1) 1.292 * * * [progress]: generating series expansions 1.292 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2) 1.292 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 1.292 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 1.292 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.292 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.292 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.292 * [taylor]: Taking taylor expansion of (* re re) in im 1.292 * [taylor]: Taking taylor expansion of re in im 1.292 * [taylor]: Taking taylor expansion of re in im 1.292 * [taylor]: Taking taylor expansion of (* im im) in im 1.292 * [taylor]: Taking taylor expansion of im in im 1.292 * [taylor]: Taking taylor expansion of im in im 1.294 * [taylor]: Taking taylor expansion of re in im 1.294 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.294 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.294 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.294 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.294 * [taylor]: Taking taylor expansion of (* re re) in re 1.294 * [taylor]: Taking taylor expansion of re in re 1.294 * [taylor]: Taking taylor expansion of re in re 1.294 * [taylor]: Taking taylor expansion of (* im im) in re 1.294 * [taylor]: Taking taylor expansion of im in re 1.294 * [taylor]: Taking taylor expansion of im in re 1.295 * [taylor]: Taking taylor expansion of re in re 1.295 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.295 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.295 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.295 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.295 * [taylor]: Taking taylor expansion of (* re re) in re 1.295 * [taylor]: Taking taylor expansion of re in re 1.295 * [taylor]: Taking taylor expansion of re in re 1.295 * [taylor]: Taking taylor expansion of (* im im) in re 1.295 * [taylor]: Taking taylor expansion of im in re 1.295 * [taylor]: Taking taylor expansion of im in re 1.296 * [taylor]: Taking taylor expansion of re in re 1.297 * [taylor]: Taking taylor expansion of im in im 1.297 * [taylor]: Taking taylor expansion of -1 in im 1.299 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.299 * [taylor]: Taking taylor expansion of 1/2 in im 1.299 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.299 * [taylor]: Taking taylor expansion of im in im 1.301 * [taylor]: Taking taylor expansion of 0 in im 1.303 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 1.303 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.303 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.303 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.303 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.303 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.303 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.303 * [taylor]: Taking taylor expansion of re in im 1.303 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.303 * [taylor]: Taking taylor expansion of re in im 1.303 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.303 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.303 * [taylor]: Taking taylor expansion of im in im 1.303 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.303 * [taylor]: Taking taylor expansion of im in im 1.306 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.306 * [taylor]: Taking taylor expansion of re in im 1.306 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.306 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.306 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.306 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.306 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.306 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.306 * [taylor]: Taking taylor expansion of re in re 1.306 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.306 * [taylor]: Taking taylor expansion of re in re 1.307 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.307 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.307 * [taylor]: Taking taylor expansion of im in re 1.307 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.307 * [taylor]: Taking taylor expansion of im in re 1.309 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.309 * [taylor]: Taking taylor expansion of re in re 1.309 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.309 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.309 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.309 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.309 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.309 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.310 * [taylor]: Taking taylor expansion of re in re 1.310 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.310 * [taylor]: Taking taylor expansion of re in re 1.310 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.310 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.310 * [taylor]: Taking taylor expansion of im in re 1.310 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.310 * [taylor]: Taking taylor expansion of im in re 1.312 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.312 * [taylor]: Taking taylor expansion of re in re 1.313 * [taylor]: Taking taylor expansion of 0 in im 1.314 * [taylor]: Taking taylor expansion of 0 in im 1.317 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.317 * [taylor]: Taking taylor expansion of 1/2 in im 1.317 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.317 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.317 * [taylor]: Taking taylor expansion of im in im 1.321 * [taylor]: Taking taylor expansion of 0 in im 1.323 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 1.323 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 1.323 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.323 * [taylor]: Taking taylor expansion of re in im 1.323 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.323 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.323 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.323 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.323 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.323 * [taylor]: Taking taylor expansion of -1 in im 1.323 * [taylor]: Taking taylor expansion of re in im 1.323 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.323 * [taylor]: Taking taylor expansion of -1 in im 1.323 * [taylor]: Taking taylor expansion of re in im 1.323 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.323 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.323 * [taylor]: Taking taylor expansion of -1 in im 1.323 * [taylor]: Taking taylor expansion of im in im 1.324 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.324 * [taylor]: Taking taylor expansion of -1 in im 1.324 * [taylor]: Taking taylor expansion of im in im 1.326 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.326 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.326 * [taylor]: Taking taylor expansion of re in re 1.327 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.327 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.327 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.327 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.327 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.327 * [taylor]: Taking taylor expansion of -1 in re 1.327 * [taylor]: Taking taylor expansion of re in re 1.327 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.327 * [taylor]: Taking taylor expansion of -1 in re 1.327 * [taylor]: Taking taylor expansion of re in re 1.327 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.327 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.327 * [taylor]: Taking taylor expansion of -1 in re 1.327 * [taylor]: Taking taylor expansion of im in re 1.327 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.327 * [taylor]: Taking taylor expansion of -1 in re 1.328 * [taylor]: Taking taylor expansion of im in re 1.332 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.333 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.333 * [taylor]: Taking taylor expansion of re in re 1.333 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.333 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.333 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.333 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.333 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.333 * [taylor]: Taking taylor expansion of -1 in re 1.333 * [taylor]: Taking taylor expansion of re in re 1.333 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.333 * [taylor]: Taking taylor expansion of -1 in re 1.333 * [taylor]: Taking taylor expansion of re in re 1.334 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.334 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.334 * [taylor]: Taking taylor expansion of -1 in re 1.334 * [taylor]: Taking taylor expansion of im in re 1.334 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.334 * [taylor]: Taking taylor expansion of -1 in re 1.334 * [taylor]: Taking taylor expansion of im in re 1.336 * [taylor]: Taking taylor expansion of 2 in im 1.337 * [taylor]: Taking taylor expansion of 0 in im 1.340 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.340 * [taylor]: Taking taylor expansion of 1/2 in im 1.340 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.340 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.340 * [taylor]: Taking taylor expansion of im in im 1.344 * [taylor]: Taking taylor expansion of 0 in im 1.346 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 2 1 2) 1.346 * [approximate]: Taking taylor expansion of (pow (hypot re im) 1/3) in (re im) around 0 1.346 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in im 1.346 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in im 1.346 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in im 1.346 * [taylor]: Taking taylor expansion of 1/3 in im 1.346 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im 1.346 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.346 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.346 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.346 * [taylor]: Taking taylor expansion of (* re re) in im 1.346 * [taylor]: Taking taylor expansion of re in im 1.346 * [taylor]: Taking taylor expansion of re in im 1.346 * [taylor]: Taking taylor expansion of (* im im) in im 1.346 * [taylor]: Taking taylor expansion of im in im 1.346 * [taylor]: Taking taylor expansion of im in im 1.348 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 1.348 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 1.348 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 1.348 * [taylor]: Taking taylor expansion of 1/3 in re 1.348 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 1.348 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.348 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.348 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.348 * [taylor]: Taking taylor expansion of (* re re) in re 1.348 * [taylor]: Taking taylor expansion of re in re 1.348 * [taylor]: Taking taylor expansion of re in re 1.348 * [taylor]: Taking taylor expansion of (* im im) in re 1.348 * [taylor]: Taking taylor expansion of im in re 1.348 * [taylor]: Taking taylor expansion of im in re 1.349 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 1.349 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 1.349 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 1.349 * [taylor]: Taking taylor expansion of 1/3 in re 1.349 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 1.349 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.349 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.349 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.349 * [taylor]: Taking taylor expansion of (* re re) in re 1.349 * [taylor]: Taking taylor expansion of re in re 1.349 * [taylor]: Taking taylor expansion of re in re 1.349 * [taylor]: Taking taylor expansion of (* im im) in re 1.349 * [taylor]: Taking taylor expansion of im in re 1.349 * [taylor]: Taking taylor expansion of im in re 1.351 * [taylor]: Taking taylor expansion of (pow im 1/3) in im 1.351 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log im))) in im 1.351 * [taylor]: Taking taylor expansion of (* 1/3 (log im)) in im 1.351 * [taylor]: Taking taylor expansion of 1/3 in im 1.351 * [taylor]: Taking taylor expansion of (log im) in im 1.351 * [taylor]: Taking taylor expansion of im in im 1.353 * [taylor]: Taking taylor expansion of 0 in im 1.359 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) in im 1.359 * [taylor]: Taking taylor expansion of 1/6 in im 1.359 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im 1.359 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im 1.359 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im 1.359 * [taylor]: Taking taylor expansion of 1/3 in im 1.359 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 1.359 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 1.359 * [taylor]: Taking taylor expansion of (pow im 5) in im 1.359 * [taylor]: Taking taylor expansion of im in im 1.368 * [taylor]: Taking taylor expansion of 0 in im 1.376 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in (re im) around 0 1.376 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in im 1.376 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in im 1.376 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in im 1.376 * [taylor]: Taking taylor expansion of 1/3 in im 1.376 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im 1.376 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.376 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.376 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.376 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.376 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.376 * [taylor]: Taking taylor expansion of re in im 1.376 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.377 * [taylor]: Taking taylor expansion of re in im 1.377 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.377 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.377 * [taylor]: Taking taylor expansion of im in im 1.377 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.377 * [taylor]: Taking taylor expansion of im in im 1.380 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 1.380 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 1.380 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 1.380 * [taylor]: Taking taylor expansion of 1/3 in re 1.380 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 1.380 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.380 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.380 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.380 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.380 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.380 * [taylor]: Taking taylor expansion of re in re 1.380 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.380 * [taylor]: Taking taylor expansion of re in re 1.381 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.381 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.381 * [taylor]: Taking taylor expansion of im in re 1.381 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.381 * [taylor]: Taking taylor expansion of im in re 1.383 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 1.383 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 1.383 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 1.383 * [taylor]: Taking taylor expansion of 1/3 in re 1.383 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 1.383 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.384 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.384 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.384 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.384 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.384 * [taylor]: Taking taylor expansion of re in re 1.384 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.384 * [taylor]: Taking taylor expansion of re in re 1.384 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.384 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.384 * [taylor]: Taking taylor expansion of im in re 1.384 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.384 * [taylor]: Taking taylor expansion of im in re 1.387 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 1.387 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 1.387 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 1.387 * [taylor]: Taking taylor expansion of -1/3 in im 1.387 * [taylor]: Taking taylor expansion of (log re) in im 1.387 * [taylor]: Taking taylor expansion of re in im 1.389 * [taylor]: Taking taylor expansion of 0 in im 1.395 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 1.395 * [taylor]: Taking taylor expansion of 1/6 in im 1.395 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 1.395 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 1.395 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 1.395 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 1.395 * [taylor]: Taking taylor expansion of 1/3 in im 1.395 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 1.395 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.395 * [taylor]: Taking taylor expansion of re in im 1.395 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.395 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.395 * [taylor]: Taking taylor expansion of im in im 1.410 * [taylor]: Taking taylor expansion of 0 in im 1.410 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in (re im) around 0 1.410 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in im 1.410 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in im 1.410 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in im 1.410 * [taylor]: Taking taylor expansion of 1/3 in im 1.410 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im 1.411 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.411 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.411 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.411 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.411 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.411 * [taylor]: Taking taylor expansion of -1 in im 1.411 * [taylor]: Taking taylor expansion of re in im 1.411 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.411 * [taylor]: Taking taylor expansion of -1 in im 1.411 * [taylor]: Taking taylor expansion of re in im 1.411 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.411 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.411 * [taylor]: Taking taylor expansion of -1 in im 1.411 * [taylor]: Taking taylor expansion of im in im 1.411 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.411 * [taylor]: Taking taylor expansion of -1 in im 1.411 * [taylor]: Taking taylor expansion of im in im 1.414 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 1.414 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 1.414 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 1.414 * [taylor]: Taking taylor expansion of 1/3 in re 1.414 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 1.414 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.414 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.415 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.415 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.415 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.415 * [taylor]: Taking taylor expansion of -1 in re 1.415 * [taylor]: Taking taylor expansion of re in re 1.415 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.415 * [taylor]: Taking taylor expansion of -1 in re 1.415 * [taylor]: Taking taylor expansion of re in re 1.415 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.415 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.415 * [taylor]: Taking taylor expansion of -1 in re 1.415 * [taylor]: Taking taylor expansion of im in re 1.415 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.415 * [taylor]: Taking taylor expansion of -1 in re 1.415 * [taylor]: Taking taylor expansion of im in re 1.421 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 1.421 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 1.421 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 1.421 * [taylor]: Taking taylor expansion of 1/3 in re 1.421 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 1.421 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.422 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.422 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.422 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.422 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.422 * [taylor]: Taking taylor expansion of -1 in re 1.422 * [taylor]: Taking taylor expansion of re in re 1.422 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.422 * [taylor]: Taking taylor expansion of -1 in re 1.422 * [taylor]: Taking taylor expansion of re in re 1.422 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.422 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.422 * [taylor]: Taking taylor expansion of -1 in re 1.422 * [taylor]: Taking taylor expansion of im in re 1.422 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.422 * [taylor]: Taking taylor expansion of -1 in re 1.422 * [taylor]: Taking taylor expansion of im in re 1.425 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 1.425 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 1.425 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 1.425 * [taylor]: Taking taylor expansion of -1/3 in im 1.425 * [taylor]: Taking taylor expansion of (log re) in im 1.425 * [taylor]: Taking taylor expansion of re in im 1.427 * [taylor]: Taking taylor expansion of 0 in im 1.433 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 1.433 * [taylor]: Taking taylor expansion of 1/6 in im 1.433 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 1.433 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 1.433 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 1.433 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 1.433 * [taylor]: Taking taylor expansion of 1/3 in im 1.433 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 1.433 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.433 * [taylor]: Taking taylor expansion of re in im 1.434 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.434 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.434 * [taylor]: Taking taylor expansion of im in im 1.449 * [taylor]: Taking taylor expansion of 0 in im 1.449 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 2 1 1 2) 1.449 * [approximate]: Taking taylor expansion of (pow (hypot re im) 1/3) in (re im) around 0 1.449 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in im 1.449 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in im 1.449 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in im 1.449 * [taylor]: Taking taylor expansion of 1/3 in im 1.449 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im 1.449 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.449 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.449 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.449 * [taylor]: Taking taylor expansion of (* re re) in im 1.449 * [taylor]: Taking taylor expansion of re in im 1.449 * [taylor]: Taking taylor expansion of re in im 1.449 * [taylor]: Taking taylor expansion of (* im im) in im 1.449 * [taylor]: Taking taylor expansion of im in im 1.449 * [taylor]: Taking taylor expansion of im in im 1.451 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 1.451 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 1.451 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 1.451 * [taylor]: Taking taylor expansion of 1/3 in re 1.451 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 1.451 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.451 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.451 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.451 * [taylor]: Taking taylor expansion of (* re re) in re 1.451 * [taylor]: Taking taylor expansion of re in re 1.451 * [taylor]: Taking taylor expansion of re in re 1.451 * [taylor]: Taking taylor expansion of (* im im) in re 1.451 * [taylor]: Taking taylor expansion of im in re 1.451 * [taylor]: Taking taylor expansion of im in re 1.452 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 1.452 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 1.452 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 1.452 * [taylor]: Taking taylor expansion of 1/3 in re 1.452 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 1.452 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.452 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.452 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.452 * [taylor]: Taking taylor expansion of (* re re) in re 1.452 * [taylor]: Taking taylor expansion of re in re 1.452 * [taylor]: Taking taylor expansion of re in re 1.452 * [taylor]: Taking taylor expansion of (* im im) in re 1.452 * [taylor]: Taking taylor expansion of im in re 1.452 * [taylor]: Taking taylor expansion of im in re 1.453 * [taylor]: Taking taylor expansion of (pow im 1/3) in im 1.453 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log im))) in im 1.453 * [taylor]: Taking taylor expansion of (* 1/3 (log im)) in im 1.453 * [taylor]: Taking taylor expansion of 1/3 in im 1.453 * [taylor]: Taking taylor expansion of (log im) in im 1.453 * [taylor]: Taking taylor expansion of im in im 1.455 * [taylor]: Taking taylor expansion of 0 in im 1.460 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) in im 1.460 * [taylor]: Taking taylor expansion of 1/6 in im 1.460 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im 1.460 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im 1.460 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im 1.460 * [taylor]: Taking taylor expansion of 1/3 in im 1.460 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 1.460 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 1.460 * [taylor]: Taking taylor expansion of (pow im 5) in im 1.460 * [taylor]: Taking taylor expansion of im in im 1.469 * [taylor]: Taking taylor expansion of 0 in im 1.477 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in (re im) around 0 1.477 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in im 1.477 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in im 1.477 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in im 1.477 * [taylor]: Taking taylor expansion of 1/3 in im 1.477 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im 1.477 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.477 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.477 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.477 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.477 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.477 * [taylor]: Taking taylor expansion of re in im 1.478 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.478 * [taylor]: Taking taylor expansion of re in im 1.478 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.478 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.478 * [taylor]: Taking taylor expansion of im in im 1.478 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.478 * [taylor]: Taking taylor expansion of im in im 1.481 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 1.481 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 1.481 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 1.481 * [taylor]: Taking taylor expansion of 1/3 in re 1.481 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 1.481 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.481 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.481 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.481 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.481 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.481 * [taylor]: Taking taylor expansion of re in re 1.481 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.481 * [taylor]: Taking taylor expansion of re in re 1.482 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.482 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.482 * [taylor]: Taking taylor expansion of im in re 1.482 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.482 * [taylor]: Taking taylor expansion of im in re 1.484 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 1.484 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 1.484 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 1.484 * [taylor]: Taking taylor expansion of 1/3 in re 1.484 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 1.485 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.485 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.485 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.485 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.485 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.485 * [taylor]: Taking taylor expansion of re in re 1.485 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.485 * [taylor]: Taking taylor expansion of re in re 1.485 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.485 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.485 * [taylor]: Taking taylor expansion of im in re 1.485 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.485 * [taylor]: Taking taylor expansion of im in re 1.488 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 1.488 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 1.488 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 1.488 * [taylor]: Taking taylor expansion of -1/3 in im 1.488 * [taylor]: Taking taylor expansion of (log re) in im 1.488 * [taylor]: Taking taylor expansion of re in im 1.490 * [taylor]: Taking taylor expansion of 0 in im 1.496 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 1.496 * [taylor]: Taking taylor expansion of 1/6 in im 1.496 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 1.496 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 1.496 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 1.496 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 1.496 * [taylor]: Taking taylor expansion of 1/3 in im 1.496 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 1.496 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.496 * [taylor]: Taking taylor expansion of re in im 1.496 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.496 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.496 * [taylor]: Taking taylor expansion of im in im 1.514 * [taylor]: Taking taylor expansion of 0 in im 1.514 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in (re im) around 0 1.514 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in im 1.514 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in im 1.514 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in im 1.514 * [taylor]: Taking taylor expansion of 1/3 in im 1.514 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im 1.514 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.515 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.515 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.515 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.515 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.515 * [taylor]: Taking taylor expansion of -1 in im 1.515 * [taylor]: Taking taylor expansion of re in im 1.515 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.515 * [taylor]: Taking taylor expansion of -1 in im 1.515 * [taylor]: Taking taylor expansion of re in im 1.515 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.515 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.515 * [taylor]: Taking taylor expansion of -1 in im 1.515 * [taylor]: Taking taylor expansion of im in im 1.515 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.515 * [taylor]: Taking taylor expansion of -1 in im 1.515 * [taylor]: Taking taylor expansion of im in im 1.518 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 1.518 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 1.518 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 1.518 * [taylor]: Taking taylor expansion of 1/3 in re 1.518 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 1.518 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.518 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.518 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.518 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.518 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.518 * [taylor]: Taking taylor expansion of -1 in re 1.519 * [taylor]: Taking taylor expansion of re in re 1.519 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.519 * [taylor]: Taking taylor expansion of -1 in re 1.519 * [taylor]: Taking taylor expansion of re in re 1.519 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.519 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.519 * [taylor]: Taking taylor expansion of -1 in re 1.519 * [taylor]: Taking taylor expansion of im in re 1.519 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.519 * [taylor]: Taking taylor expansion of -1 in re 1.519 * [taylor]: Taking taylor expansion of im in re 1.522 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 1.522 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 1.522 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 1.522 * [taylor]: Taking taylor expansion of 1/3 in re 1.522 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 1.522 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.522 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.522 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.522 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.522 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.522 * [taylor]: Taking taylor expansion of -1 in re 1.522 * [taylor]: Taking taylor expansion of re in re 1.523 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.523 * [taylor]: Taking taylor expansion of -1 in re 1.523 * [taylor]: Taking taylor expansion of re in re 1.523 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.523 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.523 * [taylor]: Taking taylor expansion of -1 in re 1.523 * [taylor]: Taking taylor expansion of im in re 1.523 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.523 * [taylor]: Taking taylor expansion of -1 in re 1.523 * [taylor]: Taking taylor expansion of im in re 1.526 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 1.526 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 1.526 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 1.526 * [taylor]: Taking taylor expansion of -1/3 in im 1.526 * [taylor]: Taking taylor expansion of (log re) in im 1.526 * [taylor]: Taking taylor expansion of re in im 1.528 * [taylor]: Taking taylor expansion of 0 in im 1.534 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 1.534 * [taylor]: Taking taylor expansion of 1/6 in im 1.534 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 1.534 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 1.534 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 1.534 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 1.534 * [taylor]: Taking taylor expansion of 1/3 in im 1.534 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 1.534 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.534 * [taylor]: Taking taylor expansion of re in im 1.534 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.534 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.534 * [taylor]: Taking taylor expansion of im in im 1.549 * [taylor]: Taking taylor expansion of 0 in im 1.549 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 2 1 1 1) 1.549 * [approximate]: Taking taylor expansion of (pow (hypot re im) 1/3) in (re im) around 0 1.549 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in im 1.549 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in im 1.549 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in im 1.549 * [taylor]: Taking taylor expansion of 1/3 in im 1.549 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im 1.549 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.550 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.550 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.550 * [taylor]: Taking taylor expansion of (* re re) in im 1.550 * [taylor]: Taking taylor expansion of re in im 1.550 * [taylor]: Taking taylor expansion of re in im 1.550 * [taylor]: Taking taylor expansion of (* im im) in im 1.550 * [taylor]: Taking taylor expansion of im in im 1.550 * [taylor]: Taking taylor expansion of im in im 1.551 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 1.551 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 1.551 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 1.551 * [taylor]: Taking taylor expansion of 1/3 in re 1.551 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 1.551 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.551 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.551 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.551 * [taylor]: Taking taylor expansion of (* re re) in re 1.551 * [taylor]: Taking taylor expansion of re in re 1.551 * [taylor]: Taking taylor expansion of re in re 1.551 * [taylor]: Taking taylor expansion of (* im im) in re 1.551 * [taylor]: Taking taylor expansion of im in re 1.551 * [taylor]: Taking taylor expansion of im in re 1.552 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 1.552 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 1.552 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 1.552 * [taylor]: Taking taylor expansion of 1/3 in re 1.552 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 1.552 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.552 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.552 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.552 * [taylor]: Taking taylor expansion of (* re re) in re 1.552 * [taylor]: Taking taylor expansion of re in re 1.552 * [taylor]: Taking taylor expansion of re in re 1.552 * [taylor]: Taking taylor expansion of (* im im) in re 1.552 * [taylor]: Taking taylor expansion of im in re 1.552 * [taylor]: Taking taylor expansion of im in re 1.554 * [taylor]: Taking taylor expansion of (pow im 1/3) in im 1.554 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log im))) in im 1.554 * [taylor]: Taking taylor expansion of (* 1/3 (log im)) in im 1.554 * [taylor]: Taking taylor expansion of 1/3 in im 1.554 * [taylor]: Taking taylor expansion of (log im) in im 1.554 * [taylor]: Taking taylor expansion of im in im 1.555 * [taylor]: Taking taylor expansion of 0 in im 1.560 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) in im 1.560 * [taylor]: Taking taylor expansion of 1/6 in im 1.560 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im 1.560 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im 1.560 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im 1.560 * [taylor]: Taking taylor expansion of 1/3 in im 1.560 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 1.560 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 1.560 * [taylor]: Taking taylor expansion of (pow im 5) in im 1.560 * [taylor]: Taking taylor expansion of im in im 1.569 * [taylor]: Taking taylor expansion of 0 in im 1.577 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in (re im) around 0 1.578 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in im 1.578 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in im 1.578 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in im 1.578 * [taylor]: Taking taylor expansion of 1/3 in im 1.578 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im 1.578 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.578 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.578 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.578 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.578 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.578 * [taylor]: Taking taylor expansion of re in im 1.578 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.578 * [taylor]: Taking taylor expansion of re in im 1.578 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.578 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.578 * [taylor]: Taking taylor expansion of im in im 1.578 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.578 * [taylor]: Taking taylor expansion of im in im 1.581 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 1.581 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 1.581 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 1.581 * [taylor]: Taking taylor expansion of 1/3 in re 1.581 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 1.581 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.581 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.581 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.581 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.581 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.582 * [taylor]: Taking taylor expansion of re in re 1.582 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.582 * [taylor]: Taking taylor expansion of re in re 1.582 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.582 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.582 * [taylor]: Taking taylor expansion of im in re 1.582 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.582 * [taylor]: Taking taylor expansion of im in re 1.585 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 1.585 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 1.585 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 1.585 * [taylor]: Taking taylor expansion of 1/3 in re 1.585 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 1.585 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.585 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.585 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.585 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.585 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.585 * [taylor]: Taking taylor expansion of re in re 1.585 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.585 * [taylor]: Taking taylor expansion of re in re 1.586 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.586 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.586 * [taylor]: Taking taylor expansion of im in re 1.586 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.586 * [taylor]: Taking taylor expansion of im in re 1.588 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 1.589 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 1.589 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 1.589 * [taylor]: Taking taylor expansion of -1/3 in im 1.589 * [taylor]: Taking taylor expansion of (log re) in im 1.589 * [taylor]: Taking taylor expansion of re in im 1.590 * [taylor]: Taking taylor expansion of 0 in im 1.596 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 1.596 * [taylor]: Taking taylor expansion of 1/6 in im 1.596 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 1.596 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 1.596 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 1.596 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 1.599 * [taylor]: Taking taylor expansion of 1/3 in im 1.599 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 1.599 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.599 * [taylor]: Taking taylor expansion of re in im 1.599 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.599 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.599 * [taylor]: Taking taylor expansion of im in im 1.615 * [taylor]: Taking taylor expansion of 0 in im 1.615 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in (re im) around 0 1.615 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in im 1.615 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in im 1.615 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in im 1.615 * [taylor]: Taking taylor expansion of 1/3 in im 1.615 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im 1.615 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.615 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.615 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.615 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.615 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.615 * [taylor]: Taking taylor expansion of -1 in im 1.615 * [taylor]: Taking taylor expansion of re in im 1.615 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.615 * [taylor]: Taking taylor expansion of -1 in im 1.615 * [taylor]: Taking taylor expansion of re in im 1.616 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.616 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.616 * [taylor]: Taking taylor expansion of -1 in im 1.616 * [taylor]: Taking taylor expansion of im in im 1.616 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.616 * [taylor]: Taking taylor expansion of -1 in im 1.616 * [taylor]: Taking taylor expansion of im in im 1.619 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 1.619 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 1.619 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 1.619 * [taylor]: Taking taylor expansion of 1/3 in re 1.619 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 1.619 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.619 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.619 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.619 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.619 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.619 * [taylor]: Taking taylor expansion of -1 in re 1.619 * [taylor]: Taking taylor expansion of re in re 1.620 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.620 * [taylor]: Taking taylor expansion of -1 in re 1.620 * [taylor]: Taking taylor expansion of re in re 1.620 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.620 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.620 * [taylor]: Taking taylor expansion of -1 in re 1.620 * [taylor]: Taking taylor expansion of im in re 1.620 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.620 * [taylor]: Taking taylor expansion of -1 in re 1.620 * [taylor]: Taking taylor expansion of im in re 1.623 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 1.623 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 1.623 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 1.623 * [taylor]: Taking taylor expansion of 1/3 in re 1.623 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 1.623 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.623 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.623 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.623 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.623 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.623 * [taylor]: Taking taylor expansion of -1 in re 1.623 * [taylor]: Taking taylor expansion of re in re 1.624 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.624 * [taylor]: Taking taylor expansion of -1 in re 1.624 * [taylor]: Taking taylor expansion of re in re 1.624 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.624 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.624 * [taylor]: Taking taylor expansion of -1 in re 1.624 * [taylor]: Taking taylor expansion of im in re 1.624 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.624 * [taylor]: Taking taylor expansion of -1 in re 1.624 * [taylor]: Taking taylor expansion of im in re 1.627 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 1.627 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 1.627 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 1.627 * [taylor]: Taking taylor expansion of -1/3 in im 1.627 * [taylor]: Taking taylor expansion of (log re) in im 1.627 * [taylor]: Taking taylor expansion of re in im 1.629 * [taylor]: Taking taylor expansion of 0 in im 1.635 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 1.635 * [taylor]: Taking taylor expansion of 1/6 in im 1.635 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 1.635 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 1.635 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 1.635 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 1.635 * [taylor]: Taking taylor expansion of 1/3 in im 1.635 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 1.635 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.635 * [taylor]: Taking taylor expansion of re in im 1.635 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.635 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.635 * [taylor]: Taking taylor expansion of im in im 1.650 * [taylor]: Taking taylor expansion of 0 in im 1.650 * * * [progress]: simplifying candidates 1.651 * [simplify]: Simplifying using # : (fma (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (- (* re 1))) (fma (- re) 1 (* re 1)) (expm1 (- (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) re)) (log1p (- (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) re)) (- re) (/ (exp (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))))) (exp re)) (log (- (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) re)) (exp (- (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) re)) (* (cbrt (- (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) re)) (cbrt (- (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) re))) (cbrt (- (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) re)) (* (* (- (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) re) (- (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) re)) (- (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) re)) (sqrt (- (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) re)) (sqrt (- (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) re)) (- (pow (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) 3) (pow re 3)) (+ (* (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))))) (+ (* re re) (* (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) re))) (- re) (- (* (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))))) (* re re)) (+ (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) re) (- re) (expm1 (cbrt (hypot re im))) (log1p (cbrt (hypot re im))) (log (cbrt (hypot re im))) (exp (cbrt (hypot re im))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt 1) (cbrt (hypot re im)) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (expm1 (cbrt (hypot re im))) (log1p (cbrt (hypot re im))) (log (cbrt (hypot re im))) (exp (cbrt (hypot re im))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt 1) (cbrt (hypot re im)) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (expm1 (cbrt (hypot re im))) (log1p (cbrt (hypot re im))) (log (cbrt (hypot re im))) (exp (cbrt (hypot re im))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt 1) (cbrt (hypot re im)) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (- im re) 0 (* -2 re) (+ (pow im 1/3) (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3)))) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) (+ (pow im 1/3) (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3)))) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) (+ (pow im 1/3) (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3)))) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) 1.652 * [simplify]: Sending expressions to egg_math: (fma (sqrt (hypot h0 h1)) (sqrt (* (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1)))) (- (* (cbrt h0) (* (cbrt h0) (cbrt h0))))) (fma (- (cbrt h0)) (* (cbrt h0) (cbrt h0)) (* (cbrt h0) (* (cbrt h0) (cbrt h0)))) (fma (sqrt (hypot h0 h1)) (sqrt (* (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1)))) (- (* (sqrt h0) (sqrt h0)))) (fma (- (sqrt h0)) (sqrt h0) (* (sqrt h0) (sqrt h0))) (fma (sqrt (hypot h0 h1)) (sqrt (* (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1)))) (- (* h0 1))) (fma (- h0) 1 (* h0 1)) (expm1 (- (* (sqrt (hypot h0 h1)) (sqrt (* (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1))))) h0)) (log1p (- (* (sqrt (hypot h0 h1)) (sqrt (* (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1))))) h0)) (- h0) (/ (exp (* (sqrt (hypot h0 h1)) (sqrt (* (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1)))))) (exp h0)) (log (- (* (sqrt (hypot h0 h1)) (sqrt (* (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1))))) h0)) (exp (- (* (sqrt (hypot h0 h1)) (sqrt (* (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1))))) h0)) (* (cbrt (- (* (sqrt (hypot h0 h1)) (sqrt (* (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1))))) h0)) (cbrt (- (* (sqrt (hypot h0 h1)) (sqrt (* (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1))))) h0))) (cbrt (- (* (sqrt (hypot h0 h1)) (sqrt (* (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1))))) h0)) (* (* (- (* (sqrt (hypot h0 h1)) (sqrt (* (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1))))) h0) (- (* (sqrt (hypot h0 h1)) (sqrt (* (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1))))) h0)) (- (* (sqrt (hypot h0 h1)) (sqrt (* (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1))))) h0)) (sqrt (- (* (sqrt (hypot h0 h1)) (sqrt (* (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1))))) h0)) (sqrt (- (* (sqrt (hypot h0 h1)) (sqrt (* (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1))))) h0)) (- (pow (* (sqrt (hypot h0 h1)) (sqrt (* (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1))))) 3) (pow h0 3)) (+ (* (* (sqrt (hypot h0 h1)) (sqrt (* (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1))))) (* (sqrt (hypot h0 h1)) (sqrt (* (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1)))))) (+ (* h0 h0) (* (* (sqrt (hypot h0 h1)) (sqrt (* (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1))))) h0))) (- h0) (- (* (* (sqrt (hypot h0 h1)) (sqrt (* (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1))))) (* (sqrt (hypot h0 h1)) (sqrt (* (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1)))))) (* h0 h0)) (+ (* (sqrt (hypot h0 h1)) (sqrt (* (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1))))) h0) (- h0) (expm1 (cbrt (hypot h0 h1))) (log1p (cbrt (hypot h0 h1))) (log (cbrt (hypot h0 h1))) (exp (cbrt (hypot h0 h1))) (cbrt (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1)))) (cbrt (cbrt (hypot h0 h1))) (cbrt (sqrt (hypot h0 h1))) (cbrt (sqrt (hypot h0 h1))) (cbrt 1) (cbrt (hypot h0 h1)) (* (cbrt (cbrt (hypot h0 h1))) (cbrt (cbrt (hypot h0 h1)))) (cbrt (cbrt (hypot h0 h1))) (* (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1))) (sqrt (cbrt (hypot h0 h1))) (sqrt (cbrt (hypot h0 h1))) (expm1 (cbrt (hypot h0 h1))) (log1p (cbrt (hypot h0 h1))) (log (cbrt (hypot h0 h1))) (exp (cbrt (hypot h0 h1))) (cbrt (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1)))) (cbrt (cbrt (hypot h0 h1))) (cbrt (sqrt (hypot h0 h1))) (cbrt (sqrt (hypot h0 h1))) (cbrt 1) (cbrt (hypot h0 h1)) (* (cbrt (cbrt (hypot h0 h1))) (cbrt (cbrt (hypot h0 h1)))) (cbrt (cbrt (hypot h0 h1))) (* (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1))) (sqrt (cbrt (hypot h0 h1))) (sqrt (cbrt (hypot h0 h1))) (expm1 (cbrt (hypot h0 h1))) (log1p (cbrt (hypot h0 h1))) (log (cbrt (hypot h0 h1))) (exp (cbrt (hypot h0 h1))) (cbrt (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1)))) (cbrt (cbrt (hypot h0 h1))) (cbrt (sqrt (hypot h0 h1))) (cbrt (sqrt (hypot h0 h1))) (cbrt 1) (cbrt (hypot h0 h1)) (* (cbrt (cbrt (hypot h0 h1))) (cbrt (cbrt (hypot h0 h1)))) (cbrt (cbrt (hypot h0 h1))) (* (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (cbrt (hypot h0 h1))) (sqrt (cbrt (hypot h0 h1))) (sqrt (cbrt (hypot h0 h1))) (- h1 h0) 0 (* -2 h0) (+ (pow h1 1/3) (* 1/6 (* (pow h0 2) (pow (/ 1 (pow h1 5)) 1/3)))) (pow (/ 1 h0) -1/3) (pow (/ -1 h0) -1/3) (+ (pow h1 1/3) (* 1/6 (* (pow h0 2) (pow (/ 1 (pow h1 5)) 1/3)))) (pow (/ 1 h0) -1/3) (pow (/ -1 h0) -1/3) (+ (pow h1 1/3) (* 1/6 (* (pow h0 2) (pow (/ 1 (pow h1 5)) 1/3)))) (pow (/ 1 h0) -1/3) (pow (/ -1 h0) -1/3) 1.656 * * [simplify]: iteration 0 : 171 enodes (cost 538 ) 1.659 * * [simplify]: iteration 1 : 580 enodes (cost 440 ) 1.673 * * [simplify]: iteration 2 : 2985 enodes (cost 425 ) 1.733 * * [simplify]: iteration 3 : 5002 enodes (cost 371 ) 1.736 * [simplify]: Simplified to: (fma 1 (hypot re im) (- re)) (- re re) (fma 1 (hypot re im) (- re)) (- re re) (fma 1 (hypot re im) (- re)) (- re re) (expm1 (- (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) re)) (log1p (- (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) re)) (- re) (exp (- (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) re)) (log (- (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) re)) (exp (- (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) re)) (* (cbrt (- (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) re)) (cbrt (- (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) re))) (cbrt (- (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) re)) (pow (- (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) re) 3) (sqrt (- (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) re)) (sqrt (- (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) re)) (fma (pow (sqrt (hypot re im)) 3) (pow (sqrt (hypot re im)) 3) (- (pow re 3))) (fma (fma (sqrt (hypot re im)) (* re (sqrt (hypot re im))) (pow re 2)) 1 (* (hypot re im) (hypot re im))) (- re) (fma (- (* re re)) 1 (* (hypot re im) (hypot re im))) (fma 1 (hypot re im) re) (- re) (expm1 (cbrt (hypot re im))) (log1p (cbrt (hypot re im))) (log (cbrt (hypot re im))) (exp (cbrt (hypot re im))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))) 1 (cbrt (hypot re im)) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (hypot re im) (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (expm1 (cbrt (hypot re im))) (log1p (cbrt (hypot re im))) (log (cbrt (hypot re im))) (exp (cbrt (hypot re im))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))) 1 (cbrt (hypot re im)) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (hypot re im) (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (expm1 (cbrt (hypot re im))) (log1p (cbrt (hypot re im))) (log (cbrt (hypot re im))) (exp (cbrt (hypot re im))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))) 1 (cbrt (hypot re im)) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (hypot re im) (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (- im re) 0 (* -2 re) (fma (* 1/6 (pow re 2)) (pow (/ 1 (pow im 5)) 1/3) (pow im 1/3)) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) (fma (* 1/6 (pow re 2)) (pow (/ 1 (pow im 5)) 1/3) (pow im 1/3)) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) (fma (* 1/6 (pow re 2)) (pow (/ 1 (pow im 5)) 1/3) (pow im 1/3)) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) 1.736 * * * [progress]: adding candidates to table 1.972 * [progress]: [Phase 3 of 3] Extracting. 1.973 * * [regime]: Finding splitpoints for: (# # # # # # #) 1.975 * * * [regime-changes]: Trying 2 branch expressions: (im re) 1.976 * * * * [regimes]: Trying to branch on im from (# # # # # # #) 2.031 * * * * [regimes]: Trying to branch on re from (# # # # # # #) 2.074 * * * [regime]: Found split indices: #