2.507 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.025 * * * [progress]: [2/2] Setting up program. 0.027 * [progress]: [Phase 2 of 3] Improving. 0.027 * [simplify]: Simplifying using # : (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.030 * * [simplify]: iteration 0 : 19 enodes (cost 8 ) 0.031 * * [simplify]: iteration 1 : 28 enodes (cost 8 ) 0.032 * * [simplify]: iteration 2 : 36 enodes (cost 8 ) 0.034 * * [simplify]: iteration 3 : 44 enodes (cost 8 ) 0.035 * * [simplify]: iteration 4 : 46 enodes (cost 8 ) 0.036 * * [simplify]: iteration 5 : 46 enodes (cost 8 ) 0.036 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.037 * * [progress]: iteration 1 / 4 0.037 * * * [progress]: picking best candidate 0.039 * * * * [pick]: Picked # 0.039 * * * [progress]: localizing error 0.050 * * * [progress]: generating rewritten candidates 0.050 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.054 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.080 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.112 * * * [progress]: generating series expansions 0.112 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.113 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.113 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.113 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.113 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.113 * [taylor]: Taking taylor expansion of re in im 0.113 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.113 * [taylor]: Taking taylor expansion of im in im 0.114 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.114 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.114 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.114 * [taylor]: Taking taylor expansion of re in re 0.114 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.114 * [taylor]: Taking taylor expansion of im in re 0.114 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.114 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.114 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.115 * [taylor]: Taking taylor expansion of re in re 0.115 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.115 * [taylor]: Taking taylor expansion of im in re 0.115 * [taylor]: Taking taylor expansion of im in im 0.115 * [taylor]: Taking taylor expansion of 0 in im 0.117 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.117 * [taylor]: Taking taylor expansion of 1/2 in im 0.117 * [taylor]: Taking taylor expansion of im in im 0.119 * [taylor]: Taking taylor expansion of 0 in im 0.120 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.120 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.120 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.120 * [taylor]: Taking taylor expansion of im in im 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.120 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.120 * [taylor]: Taking taylor expansion of re in im 0.122 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.122 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.122 * [taylor]: Taking taylor expansion of im in re 0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.123 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.123 * [taylor]: Taking taylor expansion of re in re 0.125 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.125 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.125 * [taylor]: Taking taylor expansion of im in re 0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.125 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.125 * [taylor]: Taking taylor expansion of re in re 0.128 * [taylor]: Taking taylor expansion of 1 in im 0.128 * [taylor]: Taking taylor expansion of 0 in im 0.130 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.130 * [taylor]: Taking taylor expansion of 1/2 in im 0.130 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.130 * [taylor]: Taking taylor expansion of im in im 0.133 * [taylor]: Taking taylor expansion of 0 in im 0.134 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.134 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.134 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.134 * [taylor]: Taking taylor expansion of im in im 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.135 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.135 * [taylor]: Taking taylor expansion of re in im 0.137 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.137 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.137 * [taylor]: Taking taylor expansion of im in re 0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.137 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.137 * [taylor]: Taking taylor expansion of re in re 0.140 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.140 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.140 * [taylor]: Taking taylor expansion of im in re 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.140 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.140 * [taylor]: Taking taylor expansion of re in re 0.142 * [taylor]: Taking taylor expansion of 1 in im 0.142 * [taylor]: Taking taylor expansion of 0 in im 0.144 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.144 * [taylor]: Taking taylor expansion of 1/2 in im 0.144 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.144 * [taylor]: Taking taylor expansion of im in im 0.147 * [taylor]: Taking taylor expansion of 0 in im 0.148 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 0.149 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 0.149 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.149 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.149 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.149 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.149 * [taylor]: Taking taylor expansion of re in im 0.149 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.149 * [taylor]: Taking taylor expansion of im in im 0.149 * [taylor]: Taking taylor expansion of re in im 0.149 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.149 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.149 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 0.149 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.149 * [taylor]: Taking taylor expansion of im in re 0.150 * [taylor]: Taking taylor expansion of re in re 0.150 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.150 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.150 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.150 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.150 * [taylor]: Taking taylor expansion of re in re 0.150 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.150 * [taylor]: Taking taylor expansion of im in re 0.151 * [taylor]: Taking taylor expansion of re in re 0.151 * [taylor]: Taking taylor expansion of im in im 0.152 * [taylor]: Taking taylor expansion of -1 in im 0.153 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.153 * [taylor]: Taking taylor expansion of 1/2 in im 0.153 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.153 * [taylor]: Taking taylor expansion of im in im 0.156 * [taylor]: Taking taylor expansion of 0 in im 0.157 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.157 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.157 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.157 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.157 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.157 * [taylor]: Taking taylor expansion of im in im 0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.158 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.158 * [taylor]: Taking taylor expansion of re in im 0.163 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.163 * [taylor]: Taking taylor expansion of re in im 0.163 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.163 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.163 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.163 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.163 * [taylor]: Taking taylor expansion of im in re 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.163 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.163 * [taylor]: Taking taylor expansion of re in re 0.165 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.165 * [taylor]: Taking taylor expansion of re in re 0.166 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.166 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.166 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.166 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.166 * [taylor]: Taking taylor expansion of im in re 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.166 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.166 * [taylor]: Taking taylor expansion of re in re 0.168 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.168 * [taylor]: Taking taylor expansion of re in re 0.169 * [taylor]: Taking taylor expansion of 0 in im 0.170 * [taylor]: Taking taylor expansion of 0 in im 0.173 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.173 * [taylor]: Taking taylor expansion of 1/2 in im 0.173 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.173 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.173 * [taylor]: Taking taylor expansion of im in im 0.177 * [taylor]: Taking taylor expansion of 0 in im 0.179 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.179 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.179 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.179 * [taylor]: Taking taylor expansion of re in im 0.179 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.179 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 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 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.180 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.180 * [taylor]: Taking taylor expansion of re in im 0.182 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.182 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.182 * [taylor]: Taking taylor expansion of re in re 0.182 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.182 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.182 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.182 * [taylor]: Taking taylor expansion of im in re 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.182 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.182 * [taylor]: Taking taylor expansion of re in re 0.184 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.184 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.184 * [taylor]: Taking taylor expansion of re in re 0.185 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.185 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.185 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.185 * [taylor]: Taking taylor expansion of im in re 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.185 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.185 * [taylor]: Taking taylor expansion of re in re 0.188 * [taylor]: Taking taylor expansion of 2 in im 0.188 * [taylor]: Taking taylor expansion of 0 in im 0.191 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.191 * [taylor]: Taking taylor expansion of 1/2 in im 0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.191 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.191 * [taylor]: Taking taylor expansion of im in im 0.195 * [taylor]: Taking taylor expansion of 0 in im 0.197 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.197 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in (re im) around 0 0.197 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im 0.197 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.197 * [taylor]: Taking taylor expansion of 2.0 in im 0.198 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 0.198 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.198 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.198 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.198 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.198 * [taylor]: Taking taylor expansion of re in im 0.198 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.198 * [taylor]: Taking taylor expansion of im in im 0.198 * [taylor]: Taking taylor expansion of re in im 0.202 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.202 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.202 * [taylor]: Taking taylor expansion of 2.0 in re 0.203 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.203 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.203 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.203 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.203 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.203 * [taylor]: Taking taylor expansion of re in re 0.203 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.203 * [taylor]: Taking taylor expansion of im in re 0.203 * [taylor]: Taking taylor expansion of re in re 0.204 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.204 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.204 * [taylor]: Taking taylor expansion of 2.0 in re 0.205 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.205 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.205 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.205 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.205 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.205 * [taylor]: Taking taylor expansion of re in re 0.205 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.205 * [taylor]: Taking taylor expansion of im in re 0.206 * [taylor]: Taking taylor expansion of re in re 0.207 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.207 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.207 * [taylor]: Taking taylor expansion of 2.0 in im 0.207 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.207 * [taylor]: Taking taylor expansion of im in im 0.211 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 0.211 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.211 * [taylor]: Taking taylor expansion of 1/2 in im 0.211 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.211 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.211 * [taylor]: Taking taylor expansion of 2.0 in im 0.212 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.212 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.212 * [taylor]: Taking taylor expansion of im in im 0.233 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in (re im) around 0 0.233 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.233 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.233 * [taylor]: Taking taylor expansion of 2.0 in im 0.234 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.234 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.234 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.234 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.234 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.234 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.234 * [taylor]: Taking taylor expansion of im in im 0.234 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.234 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.234 * [taylor]: Taking taylor expansion of re in im 0.236 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.236 * [taylor]: Taking taylor expansion of re in im 0.237 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.238 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.238 * [taylor]: Taking taylor expansion of 2.0 in re 0.238 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.238 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.238 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.238 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.238 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.238 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.238 * [taylor]: Taking taylor expansion of im in re 0.238 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.238 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.238 * [taylor]: Taking taylor expansion of re in re 0.241 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.241 * [taylor]: Taking taylor expansion of re in re 0.248 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.248 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.248 * [taylor]: Taking taylor expansion of 2.0 in re 0.249 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.249 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.249 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.249 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.249 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.249 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.249 * [taylor]: Taking taylor expansion of im in re 0.249 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.249 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.249 * [taylor]: Taking taylor expansion of re in re 0.252 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.252 * [taylor]: Taking taylor expansion of re in re 0.257 * [taylor]: Taking taylor expansion of 0 in im 0.257 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.257 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.258 * [taylor]: Taking taylor expansion of +nan.0 in im 0.258 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.258 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.258 * [taylor]: Taking taylor expansion of 2.0 in im 0.258 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.258 * [taylor]: Taking taylor expansion of im in im 0.265 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.266 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.266 * [taylor]: Taking taylor expansion of +nan.0 in im 0.266 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.266 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.266 * [taylor]: Taking taylor expansion of 2.0 in im 0.266 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.266 * [taylor]: Taking taylor expansion of im in im 0.282 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.283 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.283 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.283 * [taylor]: Taking taylor expansion of +nan.0 in im 0.283 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.283 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.283 * [taylor]: Taking taylor expansion of 2.0 in im 0.283 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.283 * [taylor]: Taking taylor expansion of im in im 0.285 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.285 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.285 * [taylor]: Taking taylor expansion of +nan.0 in im 0.285 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.285 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.285 * [taylor]: Taking taylor expansion of 2.0 in im 0.285 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.286 * [taylor]: Taking taylor expansion of im in im 0.308 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in (re im) around 0 0.308 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.308 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.308 * [taylor]: Taking taylor expansion of 2.0 in im 0.309 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.309 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.309 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.309 * [taylor]: Taking taylor expansion of re in im 0.309 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.309 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.309 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.309 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.309 * [taylor]: Taking taylor expansion of im in im 0.310 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.310 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.310 * [taylor]: Taking taylor expansion of re in im 0.313 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.313 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.313 * [taylor]: Taking taylor expansion of 2.0 in re 0.314 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.314 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.314 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.314 * [taylor]: Taking taylor expansion of re in re 0.314 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.314 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.314 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.314 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.314 * [taylor]: Taking taylor expansion of im in re 0.315 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.315 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.315 * [taylor]: Taking taylor expansion of re in re 0.318 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.318 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.318 * [taylor]: Taking taylor expansion of 2.0 in re 0.319 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.319 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.319 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.319 * [taylor]: Taking taylor expansion of re in re 0.319 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.319 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.319 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.319 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.319 * [taylor]: Taking taylor expansion of im in re 0.319 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.319 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.319 * [taylor]: Taking taylor expansion of re in re 0.323 * [taylor]: Taking taylor expansion of 0 in im 0.324 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.324 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.324 * [taylor]: Taking taylor expansion of +nan.0 in im 0.324 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.325 * [taylor]: Taking taylor expansion of 2.0 in im 0.332 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.332 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.332 * [taylor]: Taking taylor expansion of +nan.0 in im 0.332 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.332 * [taylor]: Taking taylor expansion of 2.0 in im 0.340 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.341 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.341 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.341 * [taylor]: Taking taylor expansion of +nan.0 in im 0.341 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.341 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.341 * [taylor]: Taking taylor expansion of 2.0 in im 0.341 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.341 * [taylor]: Taking taylor expansion of im in im 0.342 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.342 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.342 * [taylor]: Taking taylor expansion of +nan.0 in im 0.342 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.342 * [taylor]: Taking taylor expansion of 2.0 in im 0.353 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.353 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.353 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.353 * [taylor]: Taking taylor expansion of +nan.0 in im 0.353 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.353 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.353 * [taylor]: Taking taylor expansion of 2.0 in im 0.354 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.354 * [taylor]: Taking taylor expansion of im in im 0.355 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.355 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.355 * [taylor]: Taking taylor expansion of +nan.0 in im 0.355 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.355 * [taylor]: Taking taylor expansion of 2.0 in im 0.368 * * * [progress]: simplifying candidates 0.369 * [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 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (log1p (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (log (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (* (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) im re (* -1 re) (- im re) 0 (* -2 re) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) (* im re)))))))) 0 (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0.375 * * [simplify]: iteration 0 : 314 enodes (cost 760 ) 0.380 * * [simplify]: iteration 1 : 1192 enodes (cost 522 ) 0.408 * * [simplify]: iteration 2 : 5001 enodes (cost 473 ) 0.411 * [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 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (log1p (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (log (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3) (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) im re (* -1 re) (- im re) 0 (* -2 re) (* (* +nan.0 (sqrt 2.0)) (+ (- (* im im)) (- im (* im re)))) 0 (fma (- (sqrt 2.0)) +nan.0 (* +nan.0 (- (/ (sqrt 2.0) (pow re 2)) (/ (sqrt 2.0) re)))) 0.411 * * * [progress]: adding candidates to table 0.595 * * [progress]: iteration 2 / 4 0.595 * * * [progress]: picking best candidate 0.604 * * * * [pick]: Picked # 0.604 * * * [progress]: localizing error 0.616 * * * [progress]: generating rewritten candidates 0.616 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 2 1) 0.619 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.631 * * * [progress]: generating series expansions 0.631 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 2 1) 0.631 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 0.631 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 0.631 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.633 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.633 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.633 * [taylor]: Taking taylor expansion of (* re re) in im 0.633 * [taylor]: Taking taylor expansion of re in im 0.633 * [taylor]: Taking taylor expansion of re in im 0.633 * [taylor]: Taking taylor expansion of (* im im) in im 0.633 * [taylor]: Taking taylor expansion of im in im 0.633 * [taylor]: Taking taylor expansion of im in im 0.634 * [taylor]: Taking taylor expansion of re in im 0.634 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.634 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.634 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.634 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.634 * [taylor]: Taking taylor expansion of (* re re) in re 0.634 * [taylor]: Taking taylor expansion of re in re 0.634 * [taylor]: Taking taylor expansion of re in re 0.634 * [taylor]: Taking taylor expansion of (* im im) in re 0.634 * [taylor]: Taking taylor expansion of im in re 0.634 * [taylor]: Taking taylor expansion of im in re 0.635 * [taylor]: Taking taylor expansion of re in re 0.635 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.636 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.636 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.636 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.636 * [taylor]: Taking taylor expansion of (* re re) in re 0.636 * [taylor]: Taking taylor expansion of re in re 0.636 * [taylor]: Taking taylor expansion of re in re 0.636 * [taylor]: Taking taylor expansion of (* im im) in re 0.636 * [taylor]: Taking taylor expansion of im in re 0.636 * [taylor]: Taking taylor expansion of im in re 0.637 * [taylor]: Taking taylor expansion of re in re 0.637 * [taylor]: Taking taylor expansion of im in im 0.638 * [taylor]: Taking taylor expansion of -1 in im 0.639 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.639 * [taylor]: Taking taylor expansion of 1/2 in im 0.639 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.639 * [taylor]: Taking taylor expansion of im in im 0.642 * [taylor]: Taking taylor expansion of 0 in im 0.643 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 0.643 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.643 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.644 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.644 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.644 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.644 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.644 * [taylor]: Taking taylor expansion of re in im 0.644 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.644 * [taylor]: Taking taylor expansion of re in im 0.644 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.644 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.644 * [taylor]: Taking taylor expansion of im in im 0.644 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.644 * [taylor]: Taking taylor expansion of im in im 0.647 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.647 * [taylor]: Taking taylor expansion of re in im 0.647 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.647 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.647 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.647 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.647 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.647 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.647 * [taylor]: Taking taylor expansion of re in re 0.647 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.647 * [taylor]: Taking taylor expansion of re in re 0.648 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.648 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.648 * [taylor]: Taking taylor expansion of im in re 0.648 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.648 * [taylor]: Taking taylor expansion of im in re 0.650 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.650 * [taylor]: Taking taylor expansion of re in re 0.650 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.650 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.651 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.651 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.651 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.651 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.651 * [taylor]: Taking taylor expansion of re in re 0.651 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.651 * [taylor]: Taking taylor expansion of re in re 0.651 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.651 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.651 * [taylor]: Taking taylor expansion of im in re 0.651 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.651 * [taylor]: Taking taylor expansion of im in re 0.654 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.654 * [taylor]: Taking taylor expansion of re in re 0.654 * [taylor]: Taking taylor expansion of 0 in im 0.655 * [taylor]: Taking taylor expansion of 0 in im 0.659 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.659 * [taylor]: Taking taylor expansion of 1/2 in im 0.659 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.659 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.659 * [taylor]: Taking taylor expansion of im in im 0.663 * [taylor]: Taking taylor expansion of 0 in im 0.665 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 0.665 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 0.665 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.665 * [taylor]: Taking taylor expansion of re in im 0.665 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.665 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.665 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.665 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.665 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.665 * [taylor]: Taking taylor expansion of -1 in im 0.665 * [taylor]: Taking taylor expansion of re in im 0.665 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.665 * [taylor]: Taking taylor expansion of -1 in im 0.665 * [taylor]: Taking taylor expansion of re in im 0.665 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.666 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.666 * [taylor]: Taking taylor expansion of -1 in im 0.666 * [taylor]: Taking taylor expansion of im in im 0.666 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.666 * [taylor]: Taking taylor expansion of -1 in im 0.666 * [taylor]: Taking taylor expansion of im in im 0.669 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.669 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.669 * [taylor]: Taking taylor expansion of re in re 0.669 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.669 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.669 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.669 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.669 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.669 * [taylor]: Taking taylor expansion of -1 in re 0.669 * [taylor]: Taking taylor expansion of re in re 0.670 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.670 * [taylor]: Taking taylor expansion of -1 in re 0.670 * [taylor]: Taking taylor expansion of re in re 0.670 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.670 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.670 * [taylor]: Taking taylor expansion of -1 in re 0.670 * [taylor]: Taking taylor expansion of im in re 0.670 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.670 * [taylor]: Taking taylor expansion of -1 in re 0.670 * [taylor]: Taking taylor expansion of im in re 0.673 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.673 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.673 * [taylor]: Taking taylor expansion of re in re 0.673 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.673 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.673 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.673 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.673 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.673 * [taylor]: Taking taylor expansion of -1 in re 0.673 * [taylor]: Taking taylor expansion of re in re 0.674 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.674 * [taylor]: Taking taylor expansion of -1 in re 0.674 * [taylor]: Taking taylor expansion of re in re 0.674 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.674 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.674 * [taylor]: Taking taylor expansion of -1 in re 0.674 * [taylor]: Taking taylor expansion of im in re 0.674 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.674 * [taylor]: Taking taylor expansion of -1 in re 0.674 * [taylor]: Taking taylor expansion of im in re 0.677 * [taylor]: Taking taylor expansion of 2 in im 0.678 * [taylor]: Taking taylor expansion of 0 in im 0.681 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.681 * [taylor]: Taking taylor expansion of 1/2 in im 0.681 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.681 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.681 * [taylor]: Taking taylor expansion of im in im 0.686 * [taylor]: Taking taylor expansion of 0 in im 0.687 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.687 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in (re im) around 0 0.687 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in im 0.687 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.687 * [taylor]: Taking taylor expansion of 2.0 in im 0.688 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in im 0.688 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 0.688 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.688 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.688 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.688 * [taylor]: Taking taylor expansion of (* re re) in im 0.688 * [taylor]: Taking taylor expansion of re in im 0.688 * [taylor]: Taking taylor expansion of re in im 0.688 * [taylor]: Taking taylor expansion of (* im im) in im 0.688 * [taylor]: Taking taylor expansion of im in im 0.688 * [taylor]: Taking taylor expansion of im in im 0.689 * [taylor]: Taking taylor expansion of re in im 0.697 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 0.697 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.697 * [taylor]: Taking taylor expansion of 2.0 in re 0.698 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 0.698 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.698 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.698 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.698 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.698 * [taylor]: Taking taylor expansion of (* re re) in re 0.698 * [taylor]: Taking taylor expansion of re in re 0.698 * [taylor]: Taking taylor expansion of re in re 0.698 * [taylor]: Taking taylor expansion of (* im im) in re 0.698 * [taylor]: Taking taylor expansion of im in re 0.698 * [taylor]: Taking taylor expansion of im in re 0.699 * [taylor]: Taking taylor expansion of re in re 0.700 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 0.700 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.700 * [taylor]: Taking taylor expansion of 2.0 in re 0.701 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 0.701 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.701 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.701 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.701 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.701 * [taylor]: Taking taylor expansion of (* re re) in re 0.701 * [taylor]: Taking taylor expansion of re in re 0.701 * [taylor]: Taking taylor expansion of re in re 0.701 * [taylor]: Taking taylor expansion of (* im im) in re 0.701 * [taylor]: Taking taylor expansion of im in re 0.701 * [taylor]: Taking taylor expansion of im in re 0.702 * [taylor]: Taking taylor expansion of re in re 0.703 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.703 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.703 * [taylor]: Taking taylor expansion of 2.0 in im 0.704 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.704 * [taylor]: Taking taylor expansion of im in im 0.708 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 0.708 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.708 * [taylor]: Taking taylor expansion of 1/2 in im 0.708 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.708 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.708 * [taylor]: Taking taylor expansion of 2.0 in im 0.708 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.708 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.708 * [taylor]: Taking taylor expansion of im in im 0.729 * [approximate]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 0.729 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im 0.729 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 0.729 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.729 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.729 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.729 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.729 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.729 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.729 * [taylor]: Taking taylor expansion of re in im 0.729 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.729 * [taylor]: Taking taylor expansion of re in im 0.729 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.729 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.729 * [taylor]: Taking taylor expansion of im in im 0.729 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.729 * [taylor]: Taking taylor expansion of im in im 0.732 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.732 * [taylor]: Taking taylor expansion of re in im 0.734 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.734 * [taylor]: Taking taylor expansion of 2.0 in im 0.734 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 0.734 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 0.734 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.734 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.734 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.734 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.734 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.734 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.734 * [taylor]: Taking taylor expansion of re in re 0.735 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.735 * [taylor]: Taking taylor expansion of re in re 0.735 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.735 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.735 * [taylor]: Taking taylor expansion of im in re 0.735 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.735 * [taylor]: Taking taylor expansion of im in re 0.738 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.738 * [taylor]: Taking taylor expansion of re in re 0.743 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.743 * [taylor]: Taking taylor expansion of 2.0 in re 0.744 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 0.744 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 0.744 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.744 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.744 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.744 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.744 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.744 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.744 * [taylor]: Taking taylor expansion of re in re 0.744 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.744 * [taylor]: Taking taylor expansion of re in re 0.744 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.745 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.745 * [taylor]: Taking taylor expansion of im in re 0.745 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.745 * [taylor]: Taking taylor expansion of im in re 0.747 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.747 * [taylor]: Taking taylor expansion of re in re 0.753 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.753 * [taylor]: Taking taylor expansion of 2.0 in re 0.754 * [taylor]: Taking taylor expansion of 0 in im 0.754 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.754 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.754 * [taylor]: Taking taylor expansion of +nan.0 in im 0.754 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.754 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.754 * [taylor]: Taking taylor expansion of 2.0 in im 0.755 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.755 * [taylor]: Taking taylor expansion of im in im 0.763 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.763 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.763 * [taylor]: Taking taylor expansion of +nan.0 in im 0.763 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.763 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.763 * [taylor]: Taking taylor expansion of 2.0 in im 0.764 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.764 * [taylor]: Taking taylor expansion of im in im 0.783 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.783 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.783 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.783 * [taylor]: Taking taylor expansion of +nan.0 in im 0.783 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.783 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.783 * [taylor]: Taking taylor expansion of 2.0 in im 0.784 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.784 * [taylor]: Taking taylor expansion of im in im 0.785 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.785 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.785 * [taylor]: Taking taylor expansion of +nan.0 in im 0.785 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.785 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.785 * [taylor]: Taking taylor expansion of 2.0 in im 0.786 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.786 * [taylor]: Taking taylor expansion of im in im 0.808 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in (re im) around 0 0.808 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in im 0.808 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.808 * [taylor]: Taking taylor expansion of 2.0 in im 0.809 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in im 0.809 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 0.809 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.809 * [taylor]: Taking taylor expansion of re in im 0.809 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 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 im 0.809 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.809 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.809 * [taylor]: Taking taylor expansion of -1 in im 0.809 * [taylor]: Taking taylor expansion of re in im 0.809 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.809 * [taylor]: Taking taylor expansion of -1 in im 0.809 * [taylor]: Taking taylor expansion of re in im 0.809 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.809 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.809 * [taylor]: Taking taylor expansion of -1 in im 0.809 * [taylor]: Taking taylor expansion of im in im 0.810 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.810 * [taylor]: Taking taylor expansion of -1 in im 0.810 * [taylor]: Taking taylor expansion of im in im 0.814 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 0.814 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.814 * [taylor]: Taking taylor expansion of 2.0 in re 0.815 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 0.815 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.815 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.815 * [taylor]: Taking taylor expansion of re in re 0.815 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.815 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.815 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.815 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.815 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.815 * [taylor]: Taking taylor expansion of -1 in re 0.815 * [taylor]: Taking taylor expansion of re in re 0.815 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.815 * [taylor]: Taking taylor expansion of -1 in re 0.815 * [taylor]: Taking taylor expansion of re in re 0.816 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.816 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.816 * [taylor]: Taking taylor expansion of -1 in re 0.816 * [taylor]: Taking taylor expansion of im in re 0.816 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.816 * [taylor]: Taking taylor expansion of -1 in re 0.816 * [taylor]: Taking taylor expansion of im in re 0.820 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 0.820 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.820 * [taylor]: Taking taylor expansion of 2.0 in re 0.820 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 0.820 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.820 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.821 * [taylor]: Taking taylor expansion of re in re 0.821 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.821 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.821 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.821 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.821 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.821 * [taylor]: Taking taylor expansion of -1 in re 0.821 * [taylor]: Taking taylor expansion of re in re 0.821 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.821 * [taylor]: Taking taylor expansion of -1 in re 0.821 * [taylor]: Taking taylor expansion of re in re 0.822 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.822 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.822 * [taylor]: Taking taylor expansion of -1 in re 0.822 * [taylor]: Taking taylor expansion of im in re 0.822 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.822 * [taylor]: Taking taylor expansion of -1 in re 0.822 * [taylor]: Taking taylor expansion of im in re 0.826 * [taylor]: Taking taylor expansion of 0 in im 0.827 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.827 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.827 * [taylor]: Taking taylor expansion of +nan.0 in im 0.827 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.827 * [taylor]: Taking taylor expansion of 2.0 in im 0.832 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.832 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.832 * [taylor]: Taking taylor expansion of +nan.0 in im 0.832 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.832 * [taylor]: Taking taylor expansion of 2.0 in im 0.841 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.841 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.841 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.841 * [taylor]: Taking taylor expansion of +nan.0 in im 0.841 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.841 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.841 * [taylor]: Taking taylor expansion of 2.0 in im 0.842 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.842 * [taylor]: Taking taylor expansion of im in im 0.843 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.843 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.843 * [taylor]: Taking taylor expansion of +nan.0 in im 0.843 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.843 * [taylor]: Taking taylor expansion of 2.0 in im 0.855 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.855 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.855 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.855 * [taylor]: Taking taylor expansion of +nan.0 in im 0.855 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.855 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.855 * [taylor]: Taking taylor expansion of 2.0 in im 0.855 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.855 * [taylor]: Taking taylor expansion of im in im 0.856 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.856 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.856 * [taylor]: Taking taylor expansion of +nan.0 in im 0.856 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.856 * [taylor]: Taking taylor expansion of 2.0 in im 0.872 * * * [progress]: simplifying candidates 0.873 * [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 (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (log1p (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (log (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (exp (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (* (cbrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (cbrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0))))) (cbrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (* (* (sqrt (* 2.0 (+ (- (hypot re im) re) 0))) (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (sqrt 2.0) (sqrt (+ (- (hypot re im) re) 0)) (sqrt (* 2.0 (+ (pow (- (hypot re im) re) 3) (pow 0 3)))) (sqrt (+ (* (- (hypot re im) re) (- (hypot re im) re)) (- (* 0 0) (* (- (hypot re im) re) 0)))) (sqrt (* 2.0 (- (* (- (hypot re im) re) (- (hypot re im) re)) (* 0 0)))) (sqrt (- (- (hypot re im) re) 0)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (- im re) 0 (* -2 re) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) (* im re)))))))) 0 (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0.877 * * [simplify]: iteration 0 : 273 enodes (cost 321 ) 0.882 * * [simplify]: iteration 1 : 1082 enodes (cost 232 ) 0.915 * * [simplify]: iteration 2 : 5001 enodes (cost 228 ) 0.917 * [simplify]: Simplified to: (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (fma (- re) 1 re) (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (fma (- re) 1 re) (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (- re) (- re) (exp (- (hypot re im) re)) (log (- (hypot re im) re)) (exp (- (hypot re im) re)) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (pow (- (hypot re im) re) 3) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (- (pow (hypot re im) 3) (pow re 3)) (fma (hypot re im) (hypot re im) (fma re re (* (hypot re im) re))) (- re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- (hypot re im) re) (- re) (expm1 (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (log1p (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (log (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (exp (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (* (cbrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (cbrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0))))) (cbrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (pow (sqrt (* 2.0 (+ (- (hypot re im) re) 0))) 3) (sqrt 2.0) (sqrt (- (hypot re im) re)) (sqrt (* 2.0 (+ (pow (- (hypot re im) re) 3) 0))) (fabs (- (hypot re im) re)) (sqrt (* 2.0 (- (* (- (hypot re im) re) (- (hypot re im) re)) 0))) (sqrt (- (hypot re im) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (- im re) 0 (* -2 re) (* (* +nan.0 (sqrt 2.0)) (+ (- (pow im 2)) (- im (* im re)))) 0 (fma (- (sqrt 2.0)) +nan.0 (* +nan.0 (- (/ (sqrt 2.0) (pow re 2)) (/ (sqrt 2.0) re)))) 0.917 * * * [progress]: adding candidates to table 1.025 * * [progress]: iteration 3 / 4 1.025 * * * [progress]: picking best candidate 1.037 * * * * [pick]: Picked # 1.038 * * * [progress]: localizing error 1.049 * * * [progress]: generating rewritten candidates 1.049 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1) 1.052 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1) 1.056 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1) 1.078 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 2) 1.090 * * * [progress]: generating series expansions 1.091 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1) 1.091 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 1.091 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 1.091 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.091 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.091 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.091 * [taylor]: Taking taylor expansion of (* re re) in im 1.091 * [taylor]: Taking taylor expansion of re in im 1.091 * [taylor]: Taking taylor expansion of re in im 1.091 * [taylor]: Taking taylor expansion of (* im im) in im 1.091 * [taylor]: Taking taylor expansion of im in im 1.091 * [taylor]: Taking taylor expansion of im in im 1.092 * [taylor]: Taking taylor expansion of re in im 1.092 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.092 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.093 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.093 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.093 * [taylor]: Taking taylor expansion of (* re re) in re 1.093 * [taylor]: Taking taylor expansion of re in re 1.093 * [taylor]: Taking taylor expansion of re in re 1.093 * [taylor]: Taking taylor expansion of (* im im) in re 1.093 * [taylor]: Taking taylor expansion of im in re 1.093 * [taylor]: Taking taylor expansion of im in re 1.094 * [taylor]: Taking taylor expansion of re in re 1.094 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.094 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.094 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.094 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.094 * [taylor]: Taking taylor expansion of (* re re) in re 1.094 * [taylor]: Taking taylor expansion of re in re 1.094 * [taylor]: Taking taylor expansion of re in re 1.094 * [taylor]: Taking taylor expansion of (* im im) in re 1.094 * [taylor]: Taking taylor expansion of im in re 1.094 * [taylor]: Taking taylor expansion of im in re 1.095 * [taylor]: Taking taylor expansion of re in re 1.096 * [taylor]: Taking taylor expansion of im in im 1.096 * [taylor]: Taking taylor expansion of -1 in im 1.098 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.098 * [taylor]: Taking taylor expansion of 1/2 in im 1.098 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.098 * [taylor]: Taking taylor expansion of im in im 1.101 * [taylor]: Taking taylor expansion of 0 in im 1.102 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 1.102 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.102 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.102 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.102 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.102 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.102 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.102 * [taylor]: Taking taylor expansion of re in im 1.102 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.102 * [taylor]: Taking taylor expansion of re in im 1.102 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.102 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.102 * [taylor]: Taking taylor expansion of im in im 1.102 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.102 * [taylor]: Taking taylor expansion of im in im 1.105 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.105 * [taylor]: Taking taylor expansion of re in im 1.105 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.105 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.105 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.105 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.105 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.105 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.105 * [taylor]: Taking taylor expansion of re in re 1.106 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.106 * [taylor]: Taking taylor expansion of re in re 1.106 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.106 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.106 * [taylor]: Taking taylor expansion of im in re 1.106 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.106 * [taylor]: Taking taylor expansion of im in re 1.109 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.109 * [taylor]: Taking taylor expansion of re in re 1.109 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.109 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.109 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.109 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.109 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.109 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.109 * [taylor]: Taking taylor expansion of re in re 1.109 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.109 * [taylor]: Taking taylor expansion of re in re 1.110 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.110 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.110 * [taylor]: Taking taylor expansion of im in re 1.110 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.110 * [taylor]: Taking taylor expansion of im in re 1.112 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.112 * [taylor]: Taking taylor expansion of re in re 1.113 * [taylor]: Taking taylor expansion of 0 in im 1.114 * [taylor]: Taking taylor expansion of 0 in im 1.117 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.117 * [taylor]: Taking taylor expansion of 1/2 in im 1.117 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.117 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.117 * [taylor]: Taking taylor expansion of im in im 1.122 * [taylor]: Taking taylor expansion of 0 in im 1.124 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 1.124 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 1.124 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.124 * [taylor]: Taking taylor expansion of re in im 1.124 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.124 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.124 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.124 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.124 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.124 * [taylor]: Taking taylor expansion of -1 in im 1.124 * [taylor]: Taking taylor expansion of re in im 1.124 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.124 * [taylor]: Taking taylor expansion of -1 in im 1.124 * [taylor]: Taking taylor expansion of re in im 1.124 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.124 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.124 * [taylor]: Taking taylor expansion of -1 in im 1.124 * [taylor]: Taking taylor expansion of im in im 1.124 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.124 * [taylor]: Taking taylor expansion of -1 in im 1.124 * [taylor]: Taking taylor expansion of im in im 1.127 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.127 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.127 * [taylor]: Taking taylor expansion of re in re 1.128 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.128 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.128 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.128 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.128 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.128 * [taylor]: Taking taylor expansion of -1 in re 1.128 * [taylor]: Taking taylor expansion of re in re 1.128 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.128 * [taylor]: Taking taylor expansion of -1 in re 1.128 * [taylor]: Taking taylor expansion of re in re 1.129 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.129 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.129 * [taylor]: Taking taylor expansion of -1 in re 1.129 * [taylor]: Taking taylor expansion of im in re 1.129 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.129 * [taylor]: Taking taylor expansion of -1 in re 1.129 * [taylor]: Taking taylor expansion of im in re 1.131 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.131 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.131 * [taylor]: Taking taylor expansion of re in re 1.132 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.132 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.132 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.132 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.132 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.132 * [taylor]: Taking taylor expansion of -1 in re 1.132 * [taylor]: Taking taylor expansion of re in re 1.132 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.132 * [taylor]: Taking taylor expansion of -1 in re 1.132 * [taylor]: Taking taylor expansion of re in re 1.132 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.132 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.132 * [taylor]: Taking taylor expansion of -1 in re 1.132 * [taylor]: Taking taylor expansion of im in re 1.133 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.133 * [taylor]: Taking taylor expansion of -1 in re 1.133 * [taylor]: Taking taylor expansion of im in re 1.135 * [taylor]: Taking taylor expansion of 2 in im 1.136 * [taylor]: Taking taylor expansion of 0 in im 1.139 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.139 * [taylor]: Taking taylor expansion of 1/2 in im 1.139 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.139 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.139 * [taylor]: Taking taylor expansion of im in im 1.144 * [taylor]: Taking taylor expansion of 0 in im 1.146 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1) 1.146 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 1.146 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 1.146 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.146 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.146 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.146 * [taylor]: Taking taylor expansion of (* re re) in im 1.146 * [taylor]: Taking taylor expansion of re in im 1.146 * [taylor]: Taking taylor expansion of re in im 1.146 * [taylor]: Taking taylor expansion of (* im im) in im 1.146 * [taylor]: Taking taylor expansion of im in im 1.146 * [taylor]: Taking taylor expansion of im in im 1.147 * [taylor]: Taking taylor expansion of re in im 1.147 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.147 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.147 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.147 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.147 * [taylor]: Taking taylor expansion of (* re re) in re 1.147 * [taylor]: Taking taylor expansion of re in re 1.147 * [taylor]: Taking taylor expansion of re in re 1.147 * [taylor]: Taking taylor expansion of (* im im) in re 1.147 * [taylor]: Taking taylor expansion of im in re 1.147 * [taylor]: Taking taylor expansion of im in re 1.148 * [taylor]: Taking taylor expansion of re in re 1.148 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.148 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.149 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.149 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.149 * [taylor]: Taking taylor expansion of (* re re) in re 1.149 * [taylor]: Taking taylor expansion of re in re 1.149 * [taylor]: Taking taylor expansion of re in re 1.149 * [taylor]: Taking taylor expansion of (* im im) in re 1.149 * [taylor]: Taking taylor expansion of im in re 1.149 * [taylor]: Taking taylor expansion of im in re 1.150 * [taylor]: Taking taylor expansion of re in re 1.150 * [taylor]: Taking taylor expansion of im in im 1.151 * [taylor]: Taking taylor expansion of -1 in im 1.152 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.152 * [taylor]: Taking taylor expansion of 1/2 in im 1.152 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.152 * [taylor]: Taking taylor expansion of im in im 1.155 * [taylor]: Taking taylor expansion of 0 in im 1.157 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 1.157 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.157 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.157 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.157 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.157 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.157 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.157 * [taylor]: Taking taylor expansion of re in im 1.157 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.157 * [taylor]: Taking taylor expansion of re in im 1.157 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.157 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.157 * [taylor]: Taking taylor expansion of im in im 1.157 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.157 * [taylor]: Taking taylor expansion of im in im 1.160 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.160 * [taylor]: Taking taylor expansion of re in im 1.160 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.160 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.160 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.160 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.160 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.160 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.160 * [taylor]: Taking taylor expansion of re in re 1.161 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.161 * [taylor]: Taking taylor expansion of re in re 1.161 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.161 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.161 * [taylor]: Taking taylor expansion of im in re 1.161 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.161 * [taylor]: Taking taylor expansion of im in re 1.166 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.166 * [taylor]: Taking taylor expansion of re in re 1.167 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.167 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.167 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.167 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.167 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.167 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.167 * [taylor]: Taking taylor expansion of re in re 1.167 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.167 * [taylor]: Taking taylor expansion of re in re 1.168 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.168 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.168 * [taylor]: Taking taylor expansion of im in re 1.168 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.168 * [taylor]: Taking taylor expansion of im in re 1.170 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.170 * [taylor]: Taking taylor expansion of re in re 1.171 * [taylor]: Taking taylor expansion of 0 in im 1.172 * [taylor]: Taking taylor expansion of 0 in im 1.175 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.175 * [taylor]: Taking taylor expansion of 1/2 in im 1.175 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.175 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.175 * [taylor]: Taking taylor expansion of im in im 1.180 * [taylor]: Taking taylor expansion of 0 in im 1.182 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 1.182 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 1.182 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.182 * [taylor]: Taking taylor expansion of re in im 1.182 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.182 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.182 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.182 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.182 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.182 * [taylor]: Taking taylor expansion of -1 in im 1.182 * [taylor]: Taking taylor expansion of re in im 1.182 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.182 * [taylor]: Taking taylor expansion of -1 in im 1.182 * [taylor]: Taking taylor expansion of re in im 1.182 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.182 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.182 * [taylor]: Taking taylor expansion of -1 in im 1.182 * [taylor]: Taking taylor expansion of im in im 1.182 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.182 * [taylor]: Taking taylor expansion of -1 in im 1.183 * [taylor]: Taking taylor expansion of im in im 1.185 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.185 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.185 * [taylor]: Taking taylor expansion of re in re 1.186 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.186 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.186 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.186 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.186 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.186 * [taylor]: Taking taylor expansion of -1 in re 1.186 * [taylor]: Taking taylor expansion of re in re 1.186 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.186 * [taylor]: Taking taylor expansion of -1 in re 1.186 * [taylor]: Taking taylor expansion of re in re 1.186 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.186 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.186 * [taylor]: Taking taylor expansion of -1 in re 1.186 * [taylor]: Taking taylor expansion of im in re 1.187 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.187 * [taylor]: Taking taylor expansion of -1 in re 1.187 * [taylor]: Taking taylor expansion of im in re 1.189 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.189 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.189 * [taylor]: Taking taylor expansion of re in re 1.189 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.190 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.190 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.190 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.190 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.190 * [taylor]: Taking taylor expansion of -1 in re 1.190 * [taylor]: Taking taylor expansion of re in re 1.190 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.190 * [taylor]: Taking taylor expansion of -1 in re 1.190 * [taylor]: Taking taylor expansion of re in re 1.190 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.190 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.190 * [taylor]: Taking taylor expansion of -1 in re 1.190 * [taylor]: Taking taylor expansion of im in re 1.190 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.190 * [taylor]: Taking taylor expansion of -1 in re 1.190 * [taylor]: Taking taylor expansion of im in re 1.193 * [taylor]: Taking taylor expansion of 2 in im 1.194 * [taylor]: Taking taylor expansion of 0 in im 1.197 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.197 * [taylor]: Taking taylor expansion of 1/2 in im 1.197 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.197 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.197 * [taylor]: Taking taylor expansion of im in im 1.202 * [taylor]: Taking taylor expansion of 0 in im 1.203 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1) 1.204 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 1.204 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 1.204 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.204 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.204 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.204 * [taylor]: Taking taylor expansion of (* re re) in im 1.204 * [taylor]: Taking taylor expansion of re in im 1.204 * [taylor]: Taking taylor expansion of re in im 1.204 * [taylor]: Taking taylor expansion of (* im im) in im 1.204 * [taylor]: Taking taylor expansion of im in im 1.204 * [taylor]: Taking taylor expansion of im in im 1.205 * [taylor]: Taking taylor expansion of re in im 1.205 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.205 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.205 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.205 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.205 * [taylor]: Taking taylor expansion of (* re re) in re 1.205 * [taylor]: Taking taylor expansion of re in re 1.205 * [taylor]: Taking taylor expansion of re in re 1.205 * [taylor]: Taking taylor expansion of (* im im) in re 1.205 * [taylor]: Taking taylor expansion of im in re 1.205 * [taylor]: Taking taylor expansion of im in re 1.206 * [taylor]: Taking taylor expansion of re in re 1.206 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.206 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.207 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.207 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.207 * [taylor]: Taking taylor expansion of (* re re) in re 1.207 * [taylor]: Taking taylor expansion of re in re 1.207 * [taylor]: Taking taylor expansion of re in re 1.207 * [taylor]: Taking taylor expansion of (* im im) in re 1.207 * [taylor]: Taking taylor expansion of im in re 1.207 * [taylor]: Taking taylor expansion of im in re 1.208 * [taylor]: Taking taylor expansion of re in re 1.208 * [taylor]: Taking taylor expansion of im in im 1.209 * [taylor]: Taking taylor expansion of -1 in im 1.210 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.210 * [taylor]: Taking taylor expansion of 1/2 in im 1.210 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.210 * [taylor]: Taking taylor expansion of im in im 1.213 * [taylor]: Taking taylor expansion of 0 in im 1.214 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 1.214 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.214 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.215 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.215 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.215 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.215 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.215 * [taylor]: Taking taylor expansion of re in im 1.215 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.215 * [taylor]: Taking taylor expansion of re in im 1.215 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.215 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.215 * [taylor]: Taking taylor expansion of im in im 1.215 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.215 * [taylor]: Taking taylor expansion of im in im 1.218 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.218 * [taylor]: Taking taylor expansion of re in im 1.218 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.218 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.218 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.218 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.218 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.218 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.218 * [taylor]: Taking taylor expansion of re in re 1.218 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.218 * [taylor]: Taking taylor expansion of re in re 1.218 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.219 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.219 * [taylor]: Taking taylor expansion of im in re 1.219 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.219 * [taylor]: Taking taylor expansion of im in re 1.221 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.221 * [taylor]: Taking taylor expansion of re in re 1.221 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.221 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.221 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.222 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.222 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.222 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.222 * [taylor]: Taking taylor expansion of re in re 1.222 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.222 * [taylor]: Taking taylor expansion of re in re 1.222 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.222 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.222 * [taylor]: Taking taylor expansion of im in re 1.222 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.222 * [taylor]: Taking taylor expansion of im in re 1.225 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.225 * [taylor]: Taking taylor expansion of re in re 1.225 * [taylor]: Taking taylor expansion of 0 in im 1.226 * [taylor]: Taking taylor expansion of 0 in im 1.230 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.230 * [taylor]: Taking taylor expansion of 1/2 in im 1.230 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.230 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.230 * [taylor]: Taking taylor expansion of im in im 1.235 * [taylor]: Taking taylor expansion of 0 in im 1.236 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 1.237 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 1.237 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.237 * [taylor]: Taking taylor expansion of re in im 1.237 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.237 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.237 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.237 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.237 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.237 * [taylor]: Taking taylor expansion of -1 in im 1.237 * [taylor]: Taking taylor expansion of re in im 1.237 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.237 * [taylor]: Taking taylor expansion of -1 in im 1.237 * [taylor]: Taking taylor expansion of re in im 1.237 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.237 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.237 * [taylor]: Taking taylor expansion of -1 in im 1.237 * [taylor]: Taking taylor expansion of im in im 1.237 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.237 * [taylor]: Taking taylor expansion of -1 in im 1.237 * [taylor]: Taking taylor expansion of im in im 1.240 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.240 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.240 * [taylor]: Taking taylor expansion of re in re 1.241 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.241 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.241 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.241 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.241 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.241 * [taylor]: Taking taylor expansion of -1 in re 1.241 * [taylor]: Taking taylor expansion of re in re 1.241 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.241 * [taylor]: Taking taylor expansion of -1 in re 1.241 * [taylor]: Taking taylor expansion of re in re 1.241 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.241 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.241 * [taylor]: Taking taylor expansion of -1 in re 1.241 * [taylor]: Taking taylor expansion of im in re 1.241 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.242 * [taylor]: Taking taylor expansion of -1 in re 1.242 * [taylor]: Taking taylor expansion of im in re 1.244 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.244 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.244 * [taylor]: Taking taylor expansion of re in re 1.244 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.244 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.245 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.245 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.245 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.245 * [taylor]: Taking taylor expansion of -1 in re 1.245 * [taylor]: Taking taylor expansion of re in re 1.245 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.245 * [taylor]: Taking taylor expansion of -1 in re 1.245 * [taylor]: Taking taylor expansion of re in re 1.245 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.245 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.245 * [taylor]: Taking taylor expansion of -1 in re 1.245 * [taylor]: Taking taylor expansion of im in re 1.245 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.245 * [taylor]: Taking taylor expansion of -1 in re 1.245 * [taylor]: Taking taylor expansion of im in re 1.248 * [taylor]: Taking taylor expansion of 2 in im 1.252 * [taylor]: Taking taylor expansion of 0 in im 1.255 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.255 * [taylor]: Taking taylor expansion of 1/2 in im 1.255 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.255 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.255 * [taylor]: Taking taylor expansion of im in im 1.260 * [taylor]: Taking taylor expansion of 0 in im 1.261 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 2) 1.261 * [approximate]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in (re im) around 0 1.261 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in im 1.261 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 1.261 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.262 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.262 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.262 * [taylor]: Taking taylor expansion of (* re re) in im 1.262 * [taylor]: Taking taylor expansion of re in im 1.262 * [taylor]: Taking taylor expansion of re in im 1.262 * [taylor]: Taking taylor expansion of (* im im) in im 1.262 * [taylor]: Taking taylor expansion of im in im 1.262 * [taylor]: Taking taylor expansion of im in im 1.263 * [taylor]: Taking taylor expansion of re in im 1.267 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 1.267 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.267 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.267 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.267 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.267 * [taylor]: Taking taylor expansion of (* re re) in re 1.267 * [taylor]: Taking taylor expansion of re in re 1.267 * [taylor]: Taking taylor expansion of re in re 1.267 * [taylor]: Taking taylor expansion of (* im im) in re 1.267 * [taylor]: Taking taylor expansion of im in re 1.267 * [taylor]: Taking taylor expansion of im in re 1.268 * [taylor]: Taking taylor expansion of re in re 1.269 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 1.269 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.269 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.269 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.269 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.269 * [taylor]: Taking taylor expansion of (* re re) in re 1.269 * [taylor]: Taking taylor expansion of re in re 1.269 * [taylor]: Taking taylor expansion of re in re 1.269 * [taylor]: Taking taylor expansion of (* im im) in re 1.269 * [taylor]: Taking taylor expansion of im in re 1.269 * [taylor]: Taking taylor expansion of im in re 1.270 * [taylor]: Taking taylor expansion of re in re 1.271 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.271 * [taylor]: Taking taylor expansion of im in im 1.272 * [taylor]: Taking taylor expansion of (* -1/2 (sqrt (/ 1 im))) in im 1.272 * [taylor]: Taking taylor expansion of -1/2 in im 1.272 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.272 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.272 * [taylor]: Taking taylor expansion of im in im 1.280 * [approximate]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in (re im) around 0 1.280 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 1.280 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.280 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.280 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.280 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.280 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.280 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.280 * [taylor]: Taking taylor expansion of re in im 1.280 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.280 * [taylor]: Taking taylor expansion of re in im 1.280 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.280 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.280 * [taylor]: Taking taylor expansion of im in im 1.280 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.280 * [taylor]: Taking taylor expansion of im in im 1.283 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.283 * [taylor]: Taking taylor expansion of re in im 1.284 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.284 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.284 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.285 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.285 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.285 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.285 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.285 * [taylor]: Taking taylor expansion of re in re 1.285 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.285 * [taylor]: Taking taylor expansion of re in re 1.285 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.285 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.285 * [taylor]: Taking taylor expansion of im in re 1.285 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.285 * [taylor]: Taking taylor expansion of im in re 1.288 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.288 * [taylor]: Taking taylor expansion of re in re 1.293 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.293 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.293 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.293 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.293 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.293 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.293 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.293 * [taylor]: Taking taylor expansion of re in re 1.294 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.294 * [taylor]: Taking taylor expansion of re in re 1.294 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.294 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.294 * [taylor]: Taking taylor expansion of im in re 1.294 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.294 * [taylor]: Taking taylor expansion of im in re 1.296 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.296 * [taylor]: Taking taylor expansion of re in re 1.302 * [taylor]: Taking taylor expansion of 0 in im 1.302 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 2)) in im 1.302 * [taylor]: Taking taylor expansion of +nan.0 in im 1.302 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.302 * [taylor]: Taking taylor expansion of im in im 1.307 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 4)) in im 1.307 * [taylor]: Taking taylor expansion of +nan.0 in im 1.307 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.307 * [taylor]: Taking taylor expansion of im in im 1.317 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6)))))) in im 1.318 * [taylor]: Taking taylor expansion of +nan.0 in im 1.318 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))) in im 1.318 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow im 4))) in im 1.318 * [taylor]: Taking taylor expansion of 1/8 in im 1.318 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 1.318 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.318 * [taylor]: Taking taylor expansion of im in im 1.318 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow im 6)))) in im 1.318 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 6))) in im 1.318 * [taylor]: Taking taylor expansion of +nan.0 in im 1.318 * [taylor]: Taking taylor expansion of (/ 1 (pow im 6)) in im 1.318 * [taylor]: Taking taylor expansion of (pow im 6) in im 1.318 * [taylor]: Taking taylor expansion of im in im 1.345 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in (re im) around 0 1.345 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in im 1.345 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 1.345 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.345 * [taylor]: Taking taylor expansion of re in im 1.345 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.346 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.346 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.346 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.346 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.346 * [taylor]: Taking taylor expansion of -1 in im 1.346 * [taylor]: Taking taylor expansion of re in im 1.346 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.346 * [taylor]: Taking taylor expansion of -1 in im 1.346 * [taylor]: Taking taylor expansion of re in im 1.346 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.346 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.346 * [taylor]: Taking taylor expansion of -1 in im 1.346 * [taylor]: Taking taylor expansion of im in im 1.346 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.346 * [taylor]: Taking taylor expansion of -1 in im 1.346 * [taylor]: Taking taylor expansion of im in im 1.350 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 1.350 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.350 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.350 * [taylor]: Taking taylor expansion of re in re 1.351 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.351 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.351 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.351 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.351 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.351 * [taylor]: Taking taylor expansion of -1 in re 1.351 * [taylor]: Taking taylor expansion of re in re 1.351 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.351 * [taylor]: Taking taylor expansion of -1 in re 1.351 * [taylor]: Taking taylor expansion of re in re 1.351 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.351 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.351 * [taylor]: Taking taylor expansion of -1 in re 1.352 * [taylor]: Taking taylor expansion of im in re 1.352 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.352 * [taylor]: Taking taylor expansion of -1 in re 1.352 * [taylor]: Taking taylor expansion of im in re 1.355 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 1.355 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.355 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.355 * [taylor]: Taking taylor expansion of re in re 1.356 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.356 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.356 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.356 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.356 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.356 * [taylor]: Taking taylor expansion of -1 in re 1.356 * [taylor]: Taking taylor expansion of re in re 1.356 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.356 * [taylor]: Taking taylor expansion of -1 in re 1.356 * [taylor]: Taking taylor expansion of re in re 1.356 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.356 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.356 * [taylor]: Taking taylor expansion of -1 in re 1.356 * [taylor]: Taking taylor expansion of im in re 1.357 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.357 * [taylor]: Taking taylor expansion of -1 in re 1.357 * [taylor]: Taking taylor expansion of im in re 1.360 * [taylor]: Taking taylor expansion of 0 in im 1.360 * [taylor]: Taking taylor expansion of +nan.0 in im 1.363 * [taylor]: Taking taylor expansion of +nan.0 in im 1.367 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 1.367 * [taylor]: Taking taylor expansion of +nan.0 in im 1.367 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 1.367 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.367 * [taylor]: Taking taylor expansion of 1/2 in im 1.367 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.367 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.367 * [taylor]: Taking taylor expansion of im in im 1.368 * [taylor]: Taking taylor expansion of +nan.0 in im 1.374 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 1.374 * [taylor]: Taking taylor expansion of +nan.0 in im 1.374 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 1.374 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 1.374 * [taylor]: Taking taylor expansion of +nan.0 in im 1.374 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.374 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.374 * [taylor]: Taking taylor expansion of im in im 1.375 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.375 * [taylor]: Taking taylor expansion of +nan.0 in im 1.381 * * * [progress]: simplifying candidates 1.383 * [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) (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 (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))) (log1p (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (- (hypot re im) re) (- (hypot re im) re)) (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (* (- (hypot re im) re) (- (hypot re im) re)) (+ 1 1) (+ (log (sqrt (- (hypot re im) re))) (log (sqrt (- (hypot re im) re)))) (log (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))) (exp (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))) (* (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re))) (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re)))) (* (cbrt (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))) (cbrt (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))))) (cbrt (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))) (* (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))) (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))) (* (- (hypot re im) re) (- (hypot re im) re)) (sqrt (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))) (sqrt (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))) (* (sqrt (- (pow (hypot re im) 3) (pow re 3))) (sqrt (- (pow (hypot re im) 3) (pow re 3)))) (* (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))) (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re))))) (* (sqrt (- (pow (hypot re im) 3) (pow re 3))) (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (* (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))) (sqrt (+ (hypot re im) re))) (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (- (pow (hypot re im) 3) (pow re 3)))) (* (sqrt (+ (hypot re im) re)) (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re))))) (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re))) (* (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re)))) (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re))))) (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re)))) (* (sqrt (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))) (sqrt (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))))) (* (sqrt (cbrt (- (hypot re im) re))) (sqrt (cbrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (* (sqrt 1) (sqrt 1)) (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (* (sqrt (+ (sqrt (hypot re im)) (sqrt re))) (sqrt (+ (sqrt (hypot re im)) (sqrt re)))) (* (sqrt (- (sqrt (hypot re im)) (sqrt re))) (sqrt (- (sqrt (hypot re im)) (sqrt re)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (* (sqrt 1) (sqrt 1)) (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* 1 1) (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (- (hypot re im) re)) (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re))))) (* (sqrt (- (hypot re im) re)) (sqrt (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))))) (* (sqrt (- (hypot re im) re)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (- (hypot re im) re)) (sqrt 1)) (* (sqrt (- (hypot re im) re)) (sqrt (+ (sqrt (hypot re im)) (sqrt re)))) (* (sqrt (- (hypot re im) re)) (sqrt 1)) (* (sqrt (- (hypot re im) re)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (- (hypot re im) re)) 1) (* (cbrt (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re))) (* (sqrt (cbrt (- (hypot re im) re))) (sqrt (- (hypot re im) re))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re))) (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (* (sqrt (- (sqrt (hypot re im)) (sqrt re))) (sqrt (- (hypot re im) re))) (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re))) (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (* (sqrt (- (hypot re im) re)) (sqrt (- (pow (hypot re im) 3) (pow re 3)))) (* (sqrt (- (hypot re im) re)) (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (* (sqrt (- (pow (hypot re im) 3) (pow re 3))) (sqrt (- (hypot re im) re))) (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (- (hypot re im) re))) (expm1 (sqrt (- (hypot re im) re))) (log1p (sqrt (- (hypot re im) re))) (log (sqrt (- (hypot re im) re))) (exp (sqrt (- (hypot re im) re))) (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re)))) (cbrt (sqrt (- (hypot re im) re))) (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re))) (sqrt (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))) (sqrt (cbrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))) (sqrt 1) (sqrt (- (hypot re im) re)) (sqrt (+ (sqrt (hypot re im)) (sqrt re))) (sqrt (- (sqrt (hypot re im)) (sqrt re))) (sqrt 1) (sqrt (- (hypot re im) re)) (sqrt (- (pow (hypot re im) 3) (pow re 3))) (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))) (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (+ (hypot re im) re)) (/ 1 2) (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))) (- im re) 0 (* -2 re) (- im re) 0 (* -2 re) (- im re) 0 (* -2 re) (- (+ (* +nan.0 im) (- (+ (* +nan.0 (* re im)) (- (* +nan.0 (pow im 2))))))) 0 (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) 1.390 * * [simplify]: iteration 0 : 286 enodes (cost 899 ) 1.395 * * [simplify]: iteration 1 : 1123 enodes (cost 706 ) 1.425 * * [simplify]: iteration 2 : 5001 enodes (cost 691 ) 1.429 * [simplify]: Simplified to: (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (fma (- re) 1 re) (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (fma (- re) 1 re) (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (- re) (- re) (exp (- (hypot re im) re)) (log (- (hypot re im) re)) (exp (- (hypot re im) re)) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (pow (- (hypot re im) re) 3) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (- (pow (hypot re im) 3) (pow re 3)) (fma (hypot re im) (hypot re im) (fma re re (* (hypot re im) re))) (- re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- (hypot re im) re) (- re) (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (fma (- re) 1 re) (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (fma (- re) 1 re) (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (- re) (- re) (exp (- (hypot re im) re)) (log (- (hypot re im) re)) (exp (- (hypot re im) re)) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (pow (- (hypot re im) re) 3) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (- (pow (hypot re im) 3) (pow re 3)) (fma (hypot re im) (hypot re im) (fma re re (* (hypot re im) re))) (- re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- (hypot re im) re) (- re) (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) 1 1 2 1 1 (pow (sqrt (- (hypot re im) re)) 4) (- (hypot re im) re) (pow (sqrt (- (hypot re im) re)) 4) 2 (log (- (hypot re im) re)) (log (- (hypot re im) re)) (exp (- (hypot re im) re)) (pow (- (hypot re im) re) 3) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (pow (- (hypot re im) re) 3) (pow (sqrt (- (hypot re im) re)) 4) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (- (pow (hypot re im) 3) (pow re 3)) (fma (hypot re im) (hypot re im) (fma re re (* (hypot re im) re))) (* (sqrt (- (pow (hypot re im) 3) (pow re 3))) (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (* (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))) (sqrt (+ (hypot re im) re))) (* (sqrt (- (pow (hypot re im) 3) (pow re 3))) (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (* (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))) (sqrt (+ (hypot re im) re))) (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re) (pow (cbrt (sqrt (- (hypot re im) re))) 4) (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re)))) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) 1 (- (hypot re im) re) 1 (- (hypot re im) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) 1 (- (hypot re im) re) 1 (- (hypot re im) re) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) 1 (- (hypot re im) re) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) 1 2 1 (* (sqrt (- (hypot re im) re)) (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re))))) (* (fabs (cbrt (- (hypot re im) re))) (sqrt (- (hypot re im) re))) (pow (sqrt (sqrt (- (hypot re im) re))) 3) (sqrt (- (hypot re im) re)) (* (sqrt (- (hypot re im) re)) (sqrt (+ (sqrt (hypot re im)) (sqrt re)))) (sqrt (- (hypot re im) re)) (pow (sqrt (sqrt (- (hypot re im) re))) 3) (sqrt (- (hypot re im) re)) (pow (cbrt (sqrt (- (hypot re im) re))) 4) (* (sqrt (cbrt (- (hypot re im) re))) (sqrt (- (hypot re im) re))) (pow (sqrt (sqrt (- (hypot re im) re))) 3) (- (hypot re im) re) (* (sqrt (- (sqrt (hypot re im)) (sqrt re))) (sqrt (- (hypot re im) re))) (- (hypot re im) re) (pow (sqrt (sqrt (- (hypot re im) re))) 3) (- (hypot re im) re) (* (sqrt (- (hypot re im) re)) (sqrt (- (pow (hypot re im) 3) (pow re 3)))) (* (sqrt (- (hypot re im) re)) (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (* (sqrt (- (hypot re im) re)) (sqrt (- (pow (hypot re im) 3) (pow re 3)))) (* (sqrt (- (hypot re im) re)) (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (expm1 (sqrt (- (hypot re im) re))) (log1p (sqrt (- (hypot re im) re))) (log (sqrt (- (hypot re im) re))) (exp (sqrt (- (hypot re im) re))) (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re)))) (cbrt (sqrt (- (hypot re im) re))) (pow (sqrt (- (hypot re im) re)) 3) (fabs (cbrt (- (hypot re im) re))) (sqrt (cbrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))) 1 (sqrt (- (hypot re im) re)) (sqrt (+ (sqrt (hypot re im)) (sqrt re))) (sqrt (- (sqrt (hypot re im)) (sqrt re))) 1 (sqrt (- (hypot re im) re)) (sqrt (- (pow (hypot re im) 3) (pow re 3))) (hypot (hypot re im) (* (sqrt re) (sqrt (+ (hypot re im) re)))) (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (+ (hypot re im) re)) 1/2 (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))) (- im re) 0 (* -2 re) (- im re) 0 (* -2 re) (- im re) 0 (* -2 re) (fma (- im) +nan.0 (* +nan.0 (- (* re im) (pow im 2)))) 0 (+ (/ +nan.0 re) (- (fma +nan.0 1 (/ +nan.0 (pow re 2))))) 1.430 * * * [progress]: adding candidates to table 1.772 * * [progress]: iteration 4 / 4 1.772 * * * [progress]: picking best candidate 1.788 * * * * [pick]: Picked # 1.788 * * * [progress]: localizing error 1.805 * * * [progress]: generating rewritten candidates 1.805 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2) 1.811 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 2 1 1 1) 1.815 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 2 1 1) 1.818 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1 1 1 1) 1.824 * * * [progress]: generating series expansions 1.824 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2) 1.825 * [approximate]: Taking taylor expansion of (pow (pow (- (hypot re im) re) 1/6) 4) in (re im) around 0 1.825 * [taylor]: Taking taylor expansion of (pow (pow (- (hypot re im) re) 1/6) 4) in im 1.825 * [taylor]: Taking taylor expansion of (pow (- (hypot re im) re) 1/6) in im 1.825 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- (hypot re im) re)))) in im 1.825 * [taylor]: Taking taylor expansion of (* 1/6 (log (- (hypot re im) re))) in im 1.825 * [taylor]: Taking taylor expansion of 1/6 in im 1.825 * [taylor]: Taking taylor expansion of (log (- (hypot re im) re)) in im 1.825 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 1.825 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.825 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.825 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.825 * [taylor]: Taking taylor expansion of (* re re) in im 1.825 * [taylor]: Taking taylor expansion of re in im 1.825 * [taylor]: Taking taylor expansion of re in im 1.825 * [taylor]: Taking taylor expansion of (* im im) in im 1.825 * [taylor]: Taking taylor expansion of im in im 1.825 * [taylor]: Taking taylor expansion of im in im 1.826 * [taylor]: Taking taylor expansion of re in im 1.829 * [taylor]: Taking taylor expansion of (pow (pow (- (hypot re im) re) 1/6) 4) in re 1.829 * [taylor]: Taking taylor expansion of (pow (- (hypot re im) re) 1/6) in re 1.829 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- (hypot re im) re)))) in re 1.829 * [taylor]: Taking taylor expansion of (* 1/6 (log (- (hypot re im) re))) in re 1.829 * [taylor]: Taking taylor expansion of 1/6 in re 1.829 * [taylor]: Taking taylor expansion of (log (- (hypot re im) re)) in re 1.829 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.829 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.830 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.830 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.830 * [taylor]: Taking taylor expansion of (* re re) in re 1.830 * [taylor]: Taking taylor expansion of re in re 1.830 * [taylor]: Taking taylor expansion of re in re 1.830 * [taylor]: Taking taylor expansion of (* im im) in re 1.830 * [taylor]: Taking taylor expansion of im in re 1.830 * [taylor]: Taking taylor expansion of im in re 1.831 * [taylor]: Taking taylor expansion of re in re 1.831 * [taylor]: Taking taylor expansion of (pow (pow (- (hypot re im) re) 1/6) 4) in re 1.831 * [taylor]: Taking taylor expansion of (pow (- (hypot re im) re) 1/6) in re 1.831 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- (hypot re im) re)))) in re 1.831 * [taylor]: Taking taylor expansion of (* 1/6 (log (- (hypot re im) re))) in re 1.831 * [taylor]: Taking taylor expansion of 1/6 in re 1.831 * [taylor]: Taking taylor expansion of (log (- (hypot re im) re)) in re 1.831 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.831 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.831 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.831 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.831 * [taylor]: Taking taylor expansion of (* re re) in re 1.831 * [taylor]: Taking taylor expansion of re in re 1.831 * [taylor]: Taking taylor expansion of re in re 1.831 * [taylor]: Taking taylor expansion of (* im im) in re 1.831 * [taylor]: Taking taylor expansion of im in re 1.831 * [taylor]: Taking taylor expansion of im in re 1.833 * [taylor]: Taking taylor expansion of re in re 1.833 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/3) in im 1.833 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow im 2)))) in im 1.833 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow im 2))) in im 1.833 * [taylor]: Taking taylor expansion of 1/3 in im 1.833 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 1.833 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.833 * [taylor]: Taking taylor expansion of im in im 1.837 * [taylor]: Taking taylor expansion of (- (* 2/3 (pow (/ 1 im) 1/3))) in im 1.837 * [taylor]: Taking taylor expansion of (* 2/3 (pow (/ 1 im) 1/3)) in im 1.837 * [taylor]: Taking taylor expansion of 2/3 in im 1.837 * [taylor]: Taking taylor expansion of (pow (/ 1 im) 1/3) in im 1.837 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 im)))) in im 1.837 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 im))) in im 1.837 * [taylor]: Taking taylor expansion of 1/3 in im 1.837 * [taylor]: Taking taylor expansion of (log (/ 1 im)) in im 1.837 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.837 * [taylor]: Taking taylor expansion of im in im 1.846 * [taylor]: Taking taylor expansion of (* 2/9 (pow (/ 1 (pow im 4)) 1/3)) in im 1.846 * [taylor]: Taking taylor expansion of 2/9 in im 1.846 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 4)) 1/3) in im 1.846 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 4))))) in im 1.846 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 4)))) in im 1.846 * [taylor]: Taking taylor expansion of 1/3 in im 1.846 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 4))) in im 1.846 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 1.846 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.846 * [taylor]: Taking taylor expansion of im in im 1.848 * [approximate]: Taking taylor expansion of (pow (pow (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/6) 4) in (re im) around 0 1.848 * [taylor]: Taking taylor expansion of (pow (pow (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/6) 4) in im 1.848 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/6) in im 1.848 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))))) in im 1.848 * [taylor]: Taking taylor expansion of (* 1/6 (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in im 1.848 * [taylor]: Taking taylor expansion of 1/6 in im 1.848 * [taylor]: Taking taylor expansion of (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 1.848 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.848 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.848 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.848 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.848 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.848 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.848 * [taylor]: Taking taylor expansion of re in im 1.848 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.848 * [taylor]: Taking taylor expansion of re in im 1.848 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.848 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.848 * [taylor]: Taking taylor expansion of im in im 1.849 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.849 * [taylor]: Taking taylor expansion of im in im 1.851 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.852 * [taylor]: Taking taylor expansion of re in im 1.852 * [taylor]: Taking taylor expansion of (pow (pow (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/6) 4) in re 1.852 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/6) in re 1.852 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))))) in re 1.852 * [taylor]: Taking taylor expansion of (* 1/6 (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in re 1.852 * [taylor]: Taking taylor expansion of 1/6 in re 1.852 * [taylor]: Taking taylor expansion of (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.853 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.853 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.853 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.853 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.853 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.853 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.853 * [taylor]: Taking taylor expansion of re in re 1.853 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.853 * [taylor]: Taking taylor expansion of re in re 1.853 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.853 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.853 * [taylor]: Taking taylor expansion of im in re 1.853 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.853 * [taylor]: Taking taylor expansion of im in re 1.856 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.856 * [taylor]: Taking taylor expansion of re in re 1.861 * [taylor]: Taking taylor expansion of (pow (pow (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/6) 4) in re 1.861 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/6) in re 1.861 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))))) in re 1.861 * [taylor]: Taking taylor expansion of (* 1/6 (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in re 1.861 * [taylor]: Taking taylor expansion of 1/6 in re 1.861 * [taylor]: Taking taylor expansion of (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.861 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.861 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.861 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.861 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.862 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.862 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.862 * [taylor]: Taking taylor expansion of re in re 1.862 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.862 * [taylor]: Taking taylor expansion of re in re 1.862 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.862 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.862 * [taylor]: Taking taylor expansion of im in re 1.862 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.862 * [taylor]: Taking taylor expansion of im in re 1.868 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.868 * [taylor]: Taking taylor expansion of re in re 1.875 * [taylor]: Taking taylor expansion of (pow (exp (* 1/6 (+ (log (/ 1/2 (pow im 2))) (log re)))) 4) in im 1.875 * [taylor]: Taking taylor expansion of (exp (* 1/6 (+ (log (/ 1/2 (pow im 2))) (log re)))) in im 1.875 * [taylor]: Taking taylor expansion of (* 1/6 (+ (log (/ 1/2 (pow im 2))) (log re))) in im 1.875 * [taylor]: Taking taylor expansion of 1/6 in im 1.875 * [taylor]: Taking taylor expansion of (+ (log (/ 1/2 (pow im 2))) (log re)) in im 1.875 * [taylor]: Taking taylor expansion of (log (/ 1/2 (pow im 2))) in im 1.875 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.875 * [taylor]: Taking taylor expansion of 1/2 in im 1.875 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.875 * [taylor]: Taking taylor expansion of im in im 1.876 * [taylor]: Taking taylor expansion of (log re) in im 1.876 * [taylor]: Taking taylor expansion of re in im 1.885 * [taylor]: Taking taylor expansion of 0 in im 1.899 * [taylor]: Taking taylor expansion of (- (* 1/6 (/ (pow (exp (* 1/6 (+ (log (/ 1/2 (pow im 2))) (log re)))) 4) (pow im 2)))) in im 1.899 * [taylor]: Taking taylor expansion of (* 1/6 (/ (pow (exp (* 1/6 (+ (log (/ 1/2 (pow im 2))) (log re)))) 4) (pow im 2))) in im 1.900 * [taylor]: Taking taylor expansion of 1/6 in im 1.900 * [taylor]: Taking taylor expansion of (/ (pow (exp (* 1/6 (+ (log (/ 1/2 (pow im 2))) (log re)))) 4) (pow im 2)) in im 1.900 * [taylor]: Taking taylor expansion of (pow (exp (* 1/6 (+ (log (/ 1/2 (pow im 2))) (log re)))) 4) in im 1.900 * [taylor]: Taking taylor expansion of (exp (* 1/6 (+ (log (/ 1/2 (pow im 2))) (log re)))) in im 1.900 * [taylor]: Taking taylor expansion of (* 1/6 (+ (log (/ 1/2 (pow im 2))) (log re))) in im 1.900 * [taylor]: Taking taylor expansion of 1/6 in im 1.900 * [taylor]: Taking taylor expansion of (+ (log (/ 1/2 (pow im 2))) (log re)) in im 1.900 * [taylor]: Taking taylor expansion of (log (/ 1/2 (pow im 2))) in im 1.900 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.900 * [taylor]: Taking taylor expansion of 1/2 in im 1.900 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.900 * [taylor]: Taking taylor expansion of im in im 1.900 * [taylor]: Taking taylor expansion of (log re) in im 1.901 * [taylor]: Taking taylor expansion of re in im 1.902 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.902 * [taylor]: Taking taylor expansion of im in im 1.939 * [taylor]: Taking taylor expansion of 0 in im 1.940 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 1/6) 4) in (re im) around 0 1.940 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 1/6) 4) in im 1.940 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 1/6) in im 1.940 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))))) in im 1.940 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in im 1.940 * [taylor]: Taking taylor expansion of 1/6 in im 1.940 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in im 1.940 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 1.940 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.940 * [taylor]: Taking taylor expansion of re in im 1.940 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.940 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.940 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.940 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.940 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.940 * [taylor]: Taking taylor expansion of -1 in im 1.940 * [taylor]: Taking taylor expansion of re in im 1.940 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.940 * [taylor]: Taking taylor expansion of -1 in im 1.941 * [taylor]: Taking taylor expansion of re in im 1.941 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.941 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.941 * [taylor]: Taking taylor expansion of -1 in im 1.941 * [taylor]: Taking taylor expansion of im in im 1.941 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.941 * [taylor]: Taking taylor expansion of -1 in im 1.941 * [taylor]: Taking taylor expansion of im in im 1.945 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 1/6) 4) in re 1.945 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 1/6) in re 1.945 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))))) in re 1.945 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 1.945 * [taylor]: Taking taylor expansion of 1/6 in re 1.945 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 1.945 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.945 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.945 * [taylor]: Taking taylor expansion of re in re 1.945 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.945 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.945 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.945 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.945 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.945 * [taylor]: Taking taylor expansion of -1 in re 1.945 * [taylor]: Taking taylor expansion of re in re 1.946 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.946 * [taylor]: Taking taylor expansion of -1 in re 1.946 * [taylor]: Taking taylor expansion of re in re 1.946 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.946 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.946 * [taylor]: Taking taylor expansion of -1 in re 1.946 * [taylor]: Taking taylor expansion of im in re 1.946 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.946 * [taylor]: Taking taylor expansion of -1 in re 1.946 * [taylor]: Taking taylor expansion of im in re 1.950 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 1/6) 4) in re 1.950 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 1/6) in re 1.950 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))))) in re 1.950 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 1.950 * [taylor]: Taking taylor expansion of 1/6 in re 1.950 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 1.950 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.950 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.950 * [taylor]: Taking taylor expansion of re in re 1.951 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.951 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.951 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.951 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.951 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.951 * [taylor]: Taking taylor expansion of -1 in re 1.951 * [taylor]: Taking taylor expansion of re in re 1.951 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.951 * [taylor]: Taking taylor expansion of -1 in re 1.951 * [taylor]: Taking taylor expansion of re in re 1.952 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.952 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.952 * [taylor]: Taking taylor expansion of -1 in re 1.952 * [taylor]: Taking taylor expansion of im in re 1.952 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.952 * [taylor]: Taking taylor expansion of -1 in re 1.952 * [taylor]: Taking taylor expansion of im in re 1.960 * [taylor]: Taking taylor expansion of (pow (exp (* 1/6 (- (log 2) (log re)))) 4) in im 1.960 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log 2) (log re)))) in im 1.960 * [taylor]: Taking taylor expansion of (* 1/6 (- (log 2) (log re))) in im 1.960 * [taylor]: Taking taylor expansion of 1/6 in im 1.960 * [taylor]: Taking taylor expansion of (- (log 2) (log re)) in im 1.960 * [taylor]: Taking taylor expansion of (log 2) in im 1.960 * [taylor]: Taking taylor expansion of 2 in im 1.961 * [taylor]: Taking taylor expansion of (log re) in im 1.961 * [taylor]: Taking taylor expansion of re in im 1.968 * [taylor]: Taking taylor expansion of 0 in im 1.982 * [taylor]: Taking taylor expansion of (* 1/6 (/ (pow (exp (* 1/6 (- (log 2) (log re)))) 4) (pow im 2))) in im 1.982 * [taylor]: Taking taylor expansion of 1/6 in im 1.982 * [taylor]: Taking taylor expansion of (/ (pow (exp (* 1/6 (- (log 2) (log re)))) 4) (pow im 2)) in im 1.982 * [taylor]: Taking taylor expansion of (pow (exp (* 1/6 (- (log 2) (log re)))) 4) in im 1.982 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log 2) (log re)))) in im 1.982 * [taylor]: Taking taylor expansion of (* 1/6 (- (log 2) (log re))) in im 1.982 * [taylor]: Taking taylor expansion of 1/6 in im 1.982 * [taylor]: Taking taylor expansion of (- (log 2) (log re)) in im 1.982 * [taylor]: Taking taylor expansion of (log 2) in im 1.982 * [taylor]: Taking taylor expansion of 2 in im 1.982 * [taylor]: Taking taylor expansion of (log re) in im 1.982 * [taylor]: Taking taylor expansion of re in im 1.983 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.983 * [taylor]: Taking taylor expansion of im in im 2.018 * [taylor]: Taking taylor expansion of 0 in im 2.018 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 2 1 1 1) 2.018 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 2.018 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 2.018 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.018 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.018 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.018 * [taylor]: Taking taylor expansion of (* re re) in im 2.018 * [taylor]: Taking taylor expansion of re in im 2.018 * [taylor]: Taking taylor expansion of re in im 2.018 * [taylor]: Taking taylor expansion of (* im im) in im 2.018 * [taylor]: Taking taylor expansion of im in im 2.018 * [taylor]: Taking taylor expansion of im in im 2.020 * [taylor]: Taking taylor expansion of re in im 2.020 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 2.020 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.020 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.020 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.020 * [taylor]: Taking taylor expansion of (* re re) in re 2.020 * [taylor]: Taking taylor expansion of re in re 2.020 * [taylor]: Taking taylor expansion of re in re 2.020 * [taylor]: Taking taylor expansion of (* im im) in re 2.020 * [taylor]: Taking taylor expansion of im in re 2.020 * [taylor]: Taking taylor expansion of im in re 2.021 * [taylor]: Taking taylor expansion of re in re 2.021 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 2.021 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.021 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.021 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.021 * [taylor]: Taking taylor expansion of (* re re) in re 2.021 * [taylor]: Taking taylor expansion of re in re 2.021 * [taylor]: Taking taylor expansion of re in re 2.021 * [taylor]: Taking taylor expansion of (* im im) in re 2.021 * [taylor]: Taking taylor expansion of im in re 2.021 * [taylor]: Taking taylor expansion of im in re 2.022 * [taylor]: Taking taylor expansion of re in re 2.023 * [taylor]: Taking taylor expansion of im in im 2.023 * [taylor]: Taking taylor expansion of -1 in im 2.025 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.025 * [taylor]: Taking taylor expansion of 1/2 in im 2.025 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.025 * [taylor]: Taking taylor expansion of im in im 2.028 * [taylor]: Taking taylor expansion of 0 in im 2.029 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 2.029 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 2.029 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.029 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.029 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.029 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.029 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.029 * [taylor]: Taking taylor expansion of re in im 2.029 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.029 * [taylor]: Taking taylor expansion of re in im 2.029 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.029 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.029 * [taylor]: Taking taylor expansion of im in im 2.030 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.030 * [taylor]: Taking taylor expansion of im in im 2.032 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.033 * [taylor]: Taking taylor expansion of re in im 2.033 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.033 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.033 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.033 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.033 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.033 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.033 * [taylor]: Taking taylor expansion of re in re 2.033 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.033 * [taylor]: Taking taylor expansion of re in re 2.034 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.034 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.034 * [taylor]: Taking taylor expansion of im in re 2.034 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.034 * [taylor]: Taking taylor expansion of im in re 2.036 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.036 * [taylor]: Taking taylor expansion of re in re 2.036 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.037 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.037 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.037 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.037 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.037 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.037 * [taylor]: Taking taylor expansion of re in re 2.037 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.037 * [taylor]: Taking taylor expansion of re in re 2.037 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.037 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.037 * [taylor]: Taking taylor expansion of im in re 2.037 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.037 * [taylor]: Taking taylor expansion of im in re 2.040 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.040 * [taylor]: Taking taylor expansion of re in re 2.041 * [taylor]: Taking taylor expansion of 0 in im 2.042 * [taylor]: Taking taylor expansion of 0 in im 2.048 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.048 * [taylor]: Taking taylor expansion of 1/2 in im 2.048 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.048 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.048 * [taylor]: Taking taylor expansion of im in im 2.053 * [taylor]: Taking taylor expansion of 0 in im 2.054 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 2.054 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 2.054 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.055 * [taylor]: Taking taylor expansion of re in im 2.055 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.055 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.055 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.055 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.055 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.055 * [taylor]: Taking taylor expansion of -1 in im 2.055 * [taylor]: Taking taylor expansion of re in im 2.055 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.055 * [taylor]: Taking taylor expansion of -1 in im 2.055 * [taylor]: Taking taylor expansion of re in im 2.055 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.055 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.055 * [taylor]: Taking taylor expansion of -1 in im 2.055 * [taylor]: Taking taylor expansion of im in im 2.055 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.055 * [taylor]: Taking taylor expansion of -1 in im 2.055 * [taylor]: Taking taylor expansion of im in im 2.058 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 2.058 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.058 * [taylor]: Taking taylor expansion of re in re 2.059 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.059 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.059 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.059 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.059 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.059 * [taylor]: Taking taylor expansion of -1 in re 2.059 * [taylor]: Taking taylor expansion of re in re 2.059 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.059 * [taylor]: Taking taylor expansion of -1 in re 2.059 * [taylor]: Taking taylor expansion of re in re 2.060 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.060 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.060 * [taylor]: Taking taylor expansion of -1 in re 2.060 * [taylor]: Taking taylor expansion of im in re 2.060 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.060 * [taylor]: Taking taylor expansion of -1 in re 2.060 * [taylor]: Taking taylor expansion of im in re 2.062 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 2.062 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.062 * [taylor]: Taking taylor expansion of re in re 2.063 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.063 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.063 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.063 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.063 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.063 * [taylor]: Taking taylor expansion of -1 in re 2.063 * [taylor]: Taking taylor expansion of re in re 2.063 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.063 * [taylor]: Taking taylor expansion of -1 in re 2.063 * [taylor]: Taking taylor expansion of re in re 2.063 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.063 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.063 * [taylor]: Taking taylor expansion of -1 in re 2.063 * [taylor]: Taking taylor expansion of im in re 2.064 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.064 * [taylor]: Taking taylor expansion of -1 in re 2.064 * [taylor]: Taking taylor expansion of im in re 2.066 * [taylor]: Taking taylor expansion of 2 in im 2.067 * [taylor]: Taking taylor expansion of 0 in im 2.070 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.070 * [taylor]: Taking taylor expansion of 1/2 in im 2.070 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.070 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.070 * [taylor]: Taking taylor expansion of im in im 2.075 * [taylor]: Taking taylor expansion of 0 in im 2.077 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 2 1 1) 2.077 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 2.077 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 2.077 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.077 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.077 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.077 * [taylor]: Taking taylor expansion of (* re re) in im 2.077 * [taylor]: Taking taylor expansion of re in im 2.077 * [taylor]: Taking taylor expansion of re in im 2.077 * [taylor]: Taking taylor expansion of (* im im) in im 2.077 * [taylor]: Taking taylor expansion of im in im 2.077 * [taylor]: Taking taylor expansion of im in im 2.078 * [taylor]: Taking taylor expansion of re in im 2.078 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 2.078 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.078 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.078 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.078 * [taylor]: Taking taylor expansion of (* re re) in re 2.078 * [taylor]: Taking taylor expansion of re in re 2.078 * [taylor]: Taking taylor expansion of re in re 2.078 * [taylor]: Taking taylor expansion of (* im im) in re 2.078 * [taylor]: Taking taylor expansion of im in re 2.078 * [taylor]: Taking taylor expansion of im in re 2.080 * [taylor]: Taking taylor expansion of re in re 2.080 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 2.080 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.080 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.080 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.080 * [taylor]: Taking taylor expansion of (* re re) in re 2.080 * [taylor]: Taking taylor expansion of re in re 2.080 * [taylor]: Taking taylor expansion of re in re 2.080 * [taylor]: Taking taylor expansion of (* im im) in re 2.080 * [taylor]: Taking taylor expansion of im in re 2.080 * [taylor]: Taking taylor expansion of im in re 2.081 * [taylor]: Taking taylor expansion of re in re 2.081 * [taylor]: Taking taylor expansion of im in im 2.082 * [taylor]: Taking taylor expansion of -1 in im 2.083 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.084 * [taylor]: Taking taylor expansion of 1/2 in im 2.084 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.084 * [taylor]: Taking taylor expansion of im in im 2.086 * [taylor]: Taking taylor expansion of 0 in im 2.088 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 2.088 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 2.088 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.088 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.088 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.088 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.088 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.088 * [taylor]: Taking taylor expansion of re in im 2.088 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.088 * [taylor]: Taking taylor expansion of re in im 2.088 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.088 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.088 * [taylor]: Taking taylor expansion of im in im 2.088 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.088 * [taylor]: Taking taylor expansion of im in im 2.091 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.091 * [taylor]: Taking taylor expansion of re in im 2.091 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.091 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.091 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.091 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.091 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.091 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.091 * [taylor]: Taking taylor expansion of re in re 2.092 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.092 * [taylor]: Taking taylor expansion of re in re 2.092 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.092 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.092 * [taylor]: Taking taylor expansion of im in re 2.092 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.092 * [taylor]: Taking taylor expansion of im in re 2.095 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.095 * [taylor]: Taking taylor expansion of re in re 2.095 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.095 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.095 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.095 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.095 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.095 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.095 * [taylor]: Taking taylor expansion of re in re 2.095 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.095 * [taylor]: Taking taylor expansion of re in re 2.096 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.096 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.096 * [taylor]: Taking taylor expansion of im in re 2.096 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.096 * [taylor]: Taking taylor expansion of im in re 2.098 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.098 * [taylor]: Taking taylor expansion of re in re 2.099 * [taylor]: Taking taylor expansion of 0 in im 2.100 * [taylor]: Taking taylor expansion of 0 in im 2.103 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.103 * [taylor]: Taking taylor expansion of 1/2 in im 2.103 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.103 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.103 * [taylor]: Taking taylor expansion of im in im 2.108 * [taylor]: Taking taylor expansion of 0 in im 2.110 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 2.110 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 2.110 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.110 * [taylor]: Taking taylor expansion of re in im 2.110 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.110 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.110 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.110 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.110 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.110 * [taylor]: Taking taylor expansion of -1 in im 2.110 * [taylor]: Taking taylor expansion of re in im 2.110 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.110 * [taylor]: Taking taylor expansion of -1 in im 2.110 * [taylor]: Taking taylor expansion of re in im 2.110 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.110 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.110 * [taylor]: Taking taylor expansion of -1 in im 2.110 * [taylor]: Taking taylor expansion of im in im 2.111 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.111 * [taylor]: Taking taylor expansion of -1 in im 2.111 * [taylor]: Taking taylor expansion of im in im 2.114 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 2.114 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.114 * [taylor]: Taking taylor expansion of re in re 2.114 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.114 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.114 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.114 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.114 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.114 * [taylor]: Taking taylor expansion of -1 in re 2.114 * [taylor]: Taking taylor expansion of re in re 2.114 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.114 * [taylor]: Taking taylor expansion of -1 in re 2.114 * [taylor]: Taking taylor expansion of re in re 2.115 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.115 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.115 * [taylor]: Taking taylor expansion of -1 in re 2.115 * [taylor]: Taking taylor expansion of im in re 2.115 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.115 * [taylor]: Taking taylor expansion of -1 in re 2.115 * [taylor]: Taking taylor expansion of im in re 2.118 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 2.118 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.118 * [taylor]: Taking taylor expansion of re in re 2.118 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.118 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.118 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.118 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.118 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.118 * [taylor]: Taking taylor expansion of -1 in re 2.118 * [taylor]: Taking taylor expansion of re in re 2.118 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.118 * [taylor]: Taking taylor expansion of -1 in re 2.118 * [taylor]: Taking taylor expansion of re in re 2.119 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.119 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.119 * [taylor]: Taking taylor expansion of -1 in re 2.119 * [taylor]: Taking taylor expansion of im in re 2.119 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.119 * [taylor]: Taking taylor expansion of -1 in re 2.119 * [taylor]: Taking taylor expansion of im in re 2.122 * [taylor]: Taking taylor expansion of 2 in im 2.123 * [taylor]: Taking taylor expansion of 0 in im 2.126 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.126 * [taylor]: Taking taylor expansion of 1/2 in im 2.126 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.126 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.126 * [taylor]: Taking taylor expansion of im in im 2.134 * [taylor]: Taking taylor expansion of 0 in im 2.135 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1 1 1 1) 2.135 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 2.135 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 2.135 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.136 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.136 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.136 * [taylor]: Taking taylor expansion of (* re re) in im 2.136 * [taylor]: Taking taylor expansion of re in im 2.136 * [taylor]: Taking taylor expansion of re in im 2.136 * [taylor]: Taking taylor expansion of (* im im) in im 2.136 * [taylor]: Taking taylor expansion of im in im 2.136 * [taylor]: Taking taylor expansion of im in im 2.137 * [taylor]: Taking taylor expansion of re in im 2.137 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 2.137 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.137 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.137 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.137 * [taylor]: Taking taylor expansion of (* re re) in re 2.137 * [taylor]: Taking taylor expansion of re in re 2.137 * [taylor]: Taking taylor expansion of re in re 2.137 * [taylor]: Taking taylor expansion of (* im im) in re 2.137 * [taylor]: Taking taylor expansion of im in re 2.137 * [taylor]: Taking taylor expansion of im in re 2.138 * [taylor]: Taking taylor expansion of re in re 2.138 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 2.138 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.138 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.138 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.138 * [taylor]: Taking taylor expansion of (* re re) in re 2.138 * [taylor]: Taking taylor expansion of re in re 2.138 * [taylor]: Taking taylor expansion of re in re 2.138 * [taylor]: Taking taylor expansion of (* im im) in re 2.138 * [taylor]: Taking taylor expansion of im in re 2.138 * [taylor]: Taking taylor expansion of im in re 2.140 * [taylor]: Taking taylor expansion of re in re 2.140 * [taylor]: Taking taylor expansion of im in im 2.141 * [taylor]: Taking taylor expansion of -1 in im 2.142 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.142 * [taylor]: Taking taylor expansion of 1/2 in im 2.142 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.142 * [taylor]: Taking taylor expansion of im in im 2.145 * [taylor]: Taking taylor expansion of 0 in im 2.146 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 2.146 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 2.146 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.147 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.147 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.147 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.147 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.147 * [taylor]: Taking taylor expansion of re in im 2.147 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.147 * [taylor]: Taking taylor expansion of re in im 2.147 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.147 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.147 * [taylor]: Taking taylor expansion of im in im 2.147 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.147 * [taylor]: Taking taylor expansion of im in im 2.150 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.150 * [taylor]: Taking taylor expansion of re in im 2.150 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.150 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.150 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.150 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.150 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.150 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.150 * [taylor]: Taking taylor expansion of re in re 2.150 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.150 * [taylor]: Taking taylor expansion of re in re 2.151 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.151 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.151 * [taylor]: Taking taylor expansion of im in re 2.151 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.151 * [taylor]: Taking taylor expansion of im in re 2.153 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.153 * [taylor]: Taking taylor expansion of re in re 2.154 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.154 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.154 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.154 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.154 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.154 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.154 * [taylor]: Taking taylor expansion of re in re 2.154 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.154 * [taylor]: Taking taylor expansion of re in re 2.154 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.154 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.154 * [taylor]: Taking taylor expansion of im in re 2.154 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.154 * [taylor]: Taking taylor expansion of im in re 2.157 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.157 * [taylor]: Taking taylor expansion of re in re 2.158 * [taylor]: Taking taylor expansion of 0 in im 2.159 * [taylor]: Taking taylor expansion of 0 in im 2.162 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.162 * [taylor]: Taking taylor expansion of 1/2 in im 2.162 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.162 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.162 * [taylor]: Taking taylor expansion of im in im 2.167 * [taylor]: Taking taylor expansion of 0 in im 2.168 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 2.168 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 2.168 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.168 * [taylor]: Taking taylor expansion of re in im 2.168 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.169 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.169 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.169 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.169 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.169 * [taylor]: Taking taylor expansion of -1 in im 2.169 * [taylor]: Taking taylor expansion of re in im 2.169 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.169 * [taylor]: Taking taylor expansion of -1 in im 2.169 * [taylor]: Taking taylor expansion of re in im 2.169 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.169 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.169 * [taylor]: Taking taylor expansion of -1 in im 2.169 * [taylor]: Taking taylor expansion of im in im 2.169 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.169 * [taylor]: Taking taylor expansion of -1 in im 2.169 * [taylor]: Taking taylor expansion of im in im 2.172 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 2.172 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.172 * [taylor]: Taking taylor expansion of re in re 2.172 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.172 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.172 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.173 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.173 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.173 * [taylor]: Taking taylor expansion of -1 in re 2.173 * [taylor]: Taking taylor expansion of re in re 2.173 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.173 * [taylor]: Taking taylor expansion of -1 in re 2.173 * [taylor]: Taking taylor expansion of re in re 2.173 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.173 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.173 * [taylor]: Taking taylor expansion of -1 in re 2.173 * [taylor]: Taking taylor expansion of im in re 2.173 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.173 * [taylor]: Taking taylor expansion of -1 in re 2.173 * [taylor]: Taking taylor expansion of im in re 2.176 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 2.176 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.176 * [taylor]: Taking taylor expansion of re in re 2.176 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.176 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.176 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.176 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.176 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.176 * [taylor]: Taking taylor expansion of -1 in re 2.176 * [taylor]: Taking taylor expansion of re in re 2.177 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.177 * [taylor]: Taking taylor expansion of -1 in re 2.177 * [taylor]: Taking taylor expansion of re in re 2.177 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.177 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.177 * [taylor]: Taking taylor expansion of -1 in re 2.177 * [taylor]: Taking taylor expansion of im in re 2.177 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.177 * [taylor]: Taking taylor expansion of -1 in re 2.177 * [taylor]: Taking taylor expansion of im in re 2.180 * [taylor]: Taking taylor expansion of 2 in im 2.181 * [taylor]: Taking taylor expansion of 0 in im 2.184 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.184 * [taylor]: Taking taylor expansion of 1/2 in im 2.184 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.184 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.184 * [taylor]: Taking taylor expansion of im in im 2.189 * [taylor]: Taking taylor expansion of 0 in im 2.191 * * * [progress]: simplifying candidates 2.192 * [simplify]: Simplifying using # : (expm1 (pow (cbrt (sqrt (- (hypot re im) re))) 4)) (log1p (pow (cbrt (sqrt (- (hypot re im) re))) 4)) (* (log (cbrt (sqrt (- (hypot re im) re)))) 4) (* (log (cbrt (sqrt (- (hypot re im) re)))) 4) (* 1/3 4) (* 1 4) (pow (cbrt (sqrt (- (hypot re im) re))) (* (cbrt 4) (cbrt 4))) (pow (cbrt (sqrt (- (hypot re im) re))) (sqrt 4)) (pow (cbrt (sqrt (- (hypot re im) re))) 1) (pow (cbrt (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re))))) 4) (pow (cbrt (cbrt (sqrt (- (hypot re im) re)))) 4) (pow (cbrt (sqrt (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))))) 4) (pow (cbrt (sqrt (cbrt (- (hypot re im) re)))) 4) (pow (cbrt (sqrt (sqrt (- (hypot re im) re)))) 4) (pow (cbrt (sqrt (sqrt (- (hypot re im) re)))) 4) (pow (cbrt (sqrt 1)) 4) (pow (cbrt (sqrt (- (hypot re im) re))) 4) (pow (cbrt (sqrt (+ (sqrt (hypot re im)) (sqrt re)))) 4) (pow (cbrt (sqrt (- (sqrt (hypot re im)) (sqrt re)))) 4) (pow (cbrt (sqrt 1)) 4) (pow (cbrt (sqrt (- (hypot re im) re))) 4) (pow (cbrt (sqrt (sqrt (- (hypot re im) re)))) 4) (pow (cbrt (sqrt (sqrt (- (hypot re im) re)))) 4) (pow (cbrt 1) 4) (pow (cbrt (sqrt (- (hypot re im) re))) 4) (pow (* (cbrt (cbrt (sqrt (- (hypot re im) re)))) (cbrt (cbrt (sqrt (- (hypot re im) re))))) 4) (pow (cbrt (cbrt (sqrt (- (hypot 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(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) (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 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(- (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) (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) (- (+ (* 2/9 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3))) (pow im 2/3)) (* 2/3 (* re (pow (/ 1 im) 1/3)))) (pow (exp (* 1/6 (- (+ (log (/ 1 re)) (log 1/2)) (* 2 (log (/ 1 im)))))) 4) (pow (exp (* 1/6 (- (log 2) (log (/ -1 re))))) 4) (- im re) 0 (* -2 re) (- im re) 0 (* -2 re) (- im re) 0 (* -2 re) 2.198 * * [simplify]: iteration 0 : 308 enodes (cost 863 ) 2.204 * * [simplify]: iteration 1 : 1038 enodes (cost 626 ) 2.229 * * [simplify]: iteration 2 : 5002 enodes (cost 618 ) 2.233 * [simplify]: Simplified to: (expm1 (pow (cbrt (sqrt (- (hypot re im) re))) 4)) (log1p (pow (cbrt (sqrt (- (hypot re im) re))) 4)) (log (pow (cbrt (sqrt (- (hypot re im) re))) 4)) (log (pow (cbrt (sqrt (- (hypot re im) re))) 4)) 4/3 4 (pow (cbrt (sqrt (- (hypot re im) re))) (* (cbrt 4) (cbrt 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re (pow (/ 1 im) 1/3))))) (pow (exp (* 1/6 (- (+ (log (/ 1 re)) (log 1/2)) (* 2 (log (/ 1 im)))))) 4) (pow (exp (* 1/6 (- (log 2) (log (/ -1 re))))) 4) (- im re) 0 (* -2 re) (- im re) 0 (* -2 re) (- im re) 0 (* -2 re) 2.234 * * * [progress]: adding candidates to table 2.657 * [progress]: [Phase 3 of 3] Extracting. 2.657 * * [regime]: Finding splitpoints for: (# # # # # # #) 2.659 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re) 2.660 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # #) 2.690 * * * * [regimes]: Trying to branch on im from (# # # # # # #) 2.731 * * * * [regimes]: Trying to branch on re from (# # # # # # #) 2.772 * * * [regime]: Found split indices: #