12.851 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.023 * * * [progress]: [2/2] Setting up program. 0.026 * [progress]: [Phase 2 of 3] Improving. 0.026 * [simplify]: Simplifying using # : (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.028 * * [simplify]: iteration 0 : 24 enodes (cost 8 ) 0.030 * * [simplify]: iteration 1 : 30 enodes (cost 8 ) 0.031 * * [simplify]: iteration 2 : 33 enodes (cost 8 ) 0.032 * * [simplify]: iteration 3 : 33 enodes (cost 8 ) 0.033 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.033 * * [progress]: iteration 1 / 4 0.033 * * * [progress]: picking best candidate 0.037 * * * * [pick]: Picked # 0.038 * * * [progress]: localizing error 0.047 * * * [progress]: generating rewritten candidates 0.047 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1) 0.064 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.083 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.108 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1) 0.129 * * * [progress]: generating series expansions 0.129 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 0.129 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.129 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.129 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.129 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.129 * [taylor]: Taking taylor expansion of re in im 0.129 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.129 * [taylor]: Taking taylor expansion of im in im 0.130 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.130 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.130 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.130 * [taylor]: Taking taylor expansion of re in re 0.130 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.130 * [taylor]: Taking taylor expansion of im in re 0.130 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.130 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.130 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.130 * [taylor]: Taking taylor expansion of re in re 0.130 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.130 * [taylor]: Taking taylor expansion of im in re 0.131 * [taylor]: Taking taylor expansion of im in im 0.131 * [taylor]: Taking taylor expansion of 0 in im 0.132 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.132 * [taylor]: Taking taylor expansion of 1/2 in im 0.132 * [taylor]: Taking taylor expansion of im in im 0.135 * [taylor]: Taking taylor expansion of 0 in im 0.135 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.135 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.135 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.135 * [taylor]: Taking taylor expansion of im in im 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.136 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.136 * [taylor]: Taking taylor expansion of re in im 0.138 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.138 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.138 * [taylor]: Taking taylor expansion of im in re 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.138 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.138 * [taylor]: Taking taylor expansion of re in re 0.141 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.141 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.141 * [taylor]: Taking taylor expansion of im in re 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.141 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.141 * [taylor]: Taking taylor expansion of re in re 0.144 * [taylor]: Taking taylor expansion of 1 in im 0.144 * [taylor]: Taking taylor expansion of 0 in im 0.146 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.146 * [taylor]: Taking taylor expansion of 1/2 in im 0.146 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.146 * [taylor]: Taking taylor expansion of im in im 0.149 * [taylor]: Taking taylor expansion of 0 in im 0.150 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.150 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.150 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.150 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.150 * [taylor]: Taking taylor expansion of im in im 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.151 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.151 * [taylor]: Taking taylor expansion of re in im 0.153 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.153 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.153 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.153 * [taylor]: Taking taylor expansion of im in re 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.153 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.153 * [taylor]: Taking taylor expansion of re in re 0.156 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.156 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.156 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.156 * [taylor]: Taking taylor expansion of im in re 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.156 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.156 * [taylor]: Taking taylor expansion of re in re 0.159 * [taylor]: Taking taylor expansion of 1 in im 0.159 * [taylor]: Taking taylor expansion of 0 in im 0.161 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.161 * [taylor]: Taking taylor expansion of 1/2 in im 0.161 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.161 * [taylor]: Taking taylor expansion of im in im 0.164 * [taylor]: Taking taylor expansion of 0 in im 0.165 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.166 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 0.166 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.166 * [taylor]: Taking taylor expansion of re in im 0.166 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.166 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.166 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.166 * [taylor]: Taking taylor expansion of re in im 0.166 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.166 * [taylor]: Taking taylor expansion of im in im 0.166 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.166 * [taylor]: Taking taylor expansion of re in re 0.166 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.166 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.166 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.166 * [taylor]: Taking taylor expansion of re in re 0.167 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.167 * [taylor]: Taking taylor expansion of im in re 0.167 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.167 * [taylor]: Taking taylor expansion of re in re 0.167 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.167 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.167 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.167 * [taylor]: Taking taylor expansion of re in re 0.167 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.167 * [taylor]: Taking taylor expansion of im in re 0.168 * [taylor]: Taking taylor expansion of im in im 0.168 * [taylor]: Taking taylor expansion of 1 in im 0.170 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.170 * [taylor]: Taking taylor expansion of 1/2 in im 0.170 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.170 * [taylor]: Taking taylor expansion of im in im 0.176 * [taylor]: Taking taylor expansion of 0 in im 0.178 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.178 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.178 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.178 * [taylor]: Taking taylor expansion of re in im 0.178 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.178 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.178 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.178 * [taylor]: Taking taylor expansion of im in im 0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.178 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.178 * [taylor]: Taking taylor expansion of re in im 0.181 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.181 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.181 * [taylor]: Taking taylor expansion of re in re 0.181 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.181 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.181 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.181 * [taylor]: Taking taylor expansion of im in re 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.181 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.181 * [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 0.184 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.184 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.184 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.184 * [taylor]: Taking taylor expansion of im in re 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.184 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.184 * [taylor]: Taking taylor expansion of re in re 0.187 * [taylor]: Taking taylor expansion of 2 in im 0.188 * [taylor]: Taking taylor expansion of 0 in im 0.190 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.190 * [taylor]: Taking taylor expansion of 1/2 in im 0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.190 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.190 * [taylor]: Taking taylor expansion of im in im 0.195 * [taylor]: Taking taylor expansion of 0 in im 0.196 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.196 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.197 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.197 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.197 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.197 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.197 * [taylor]: Taking taylor expansion of im in im 0.197 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.197 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.197 * [taylor]: Taking taylor expansion of re in im 0.199 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.199 * [taylor]: Taking taylor expansion of re in im 0.199 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.199 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.199 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.199 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.199 * [taylor]: Taking taylor expansion of im in re 0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.200 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.200 * [taylor]: Taking taylor expansion of re in re 0.202 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.202 * [taylor]: Taking taylor expansion of re in re 0.202 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.202 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.202 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.202 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.202 * [taylor]: Taking taylor expansion of im in re 0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow re 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 0.205 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.205 * [taylor]: Taking taylor expansion of re in re 0.206 * [taylor]: Taking taylor expansion of 0 in im 0.207 * [taylor]: Taking taylor expansion of 0 in im 0.210 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.210 * [taylor]: Taking taylor expansion of 1/2 in im 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.210 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.210 * [taylor]: Taking taylor expansion of im in im 0.214 * [taylor]: Taking taylor expansion of 0 in im 0.216 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.216 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in (re im) around 0 0.216 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 0.216 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.216 * [taylor]: Taking taylor expansion of 2.0 in im 0.217 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 0.217 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.217 * [taylor]: Taking taylor expansion of re in im 0.217 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.217 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.217 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.217 * [taylor]: Taking taylor expansion of re in im 0.217 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.217 * [taylor]: Taking taylor expansion of im in im 0.218 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.218 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.218 * [taylor]: Taking taylor expansion of 2.0 in re 0.219 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.219 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.219 * [taylor]: Taking taylor expansion of re in re 0.219 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.219 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.219 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.219 * [taylor]: Taking taylor expansion of re in re 0.219 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.219 * [taylor]: Taking taylor expansion of im in re 0.220 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.220 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.220 * [taylor]: Taking taylor expansion of 2.0 in re 0.220 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.220 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.221 * [taylor]: Taking taylor expansion of re in re 0.221 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.221 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.221 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.221 * [taylor]: Taking taylor expansion of re in re 0.221 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.221 * [taylor]: Taking taylor expansion of im in re 0.222 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.222 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.222 * [taylor]: Taking taylor expansion of 2.0 in im 0.223 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.223 * [taylor]: Taking taylor expansion of im in im 0.225 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.225 * [taylor]: Taking taylor expansion of 1/2 in im 0.225 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.225 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.225 * [taylor]: Taking taylor expansion of 2.0 in im 0.225 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.225 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.225 * [taylor]: Taking taylor expansion of im in im 0.237 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.237 * [taylor]: Taking taylor expansion of 1/8 in im 0.237 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.237 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.237 * [taylor]: Taking taylor expansion of 2.0 in im 0.238 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.238 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.238 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.238 * [taylor]: Taking taylor expansion of im in im 0.257 * [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 0.257 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.257 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.257 * [taylor]: Taking taylor expansion of 2.0 in im 0.258 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.258 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.258 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.258 * [taylor]: Taking taylor expansion of re in im 0.258 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.258 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.258 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.258 * [taylor]: Taking taylor expansion of im in im 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.258 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.258 * [taylor]: Taking taylor expansion of re in im 0.262 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.262 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.262 * [taylor]: Taking taylor expansion of 2.0 in re 0.263 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.263 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.263 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.263 * [taylor]: Taking taylor expansion of re in re 0.263 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.263 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.263 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.263 * [taylor]: Taking taylor expansion of im in re 0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.263 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.263 * [taylor]: Taking taylor expansion of re in re 0.267 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.267 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.267 * [taylor]: Taking taylor expansion of 2.0 in re 0.268 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.268 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.268 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.268 * [taylor]: Taking taylor expansion of re in re 0.268 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.268 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.268 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.268 * [taylor]: Taking taylor expansion of im in re 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.268 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.268 * [taylor]: Taking taylor expansion of re in re 0.272 * [taylor]: Taking taylor expansion of 0 in im 0.274 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.274 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.274 * [taylor]: Taking taylor expansion of +nan.0 in im 0.274 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.274 * [taylor]: Taking taylor expansion of 2.0 in im 0.279 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.279 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.279 * [taylor]: Taking taylor expansion of +nan.0 in im 0.279 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.279 * [taylor]: Taking taylor expansion of 2.0 in im 0.288 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.288 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.288 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.288 * [taylor]: Taking taylor expansion of +nan.0 in im 0.288 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.288 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.288 * [taylor]: Taking taylor expansion of 2.0 in im 0.289 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.289 * [taylor]: Taking taylor expansion of im in im 0.290 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.290 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.290 * [taylor]: Taking taylor expansion of +nan.0 in im 0.290 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.290 * [taylor]: Taking taylor expansion of 2.0 in im 0.301 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.301 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.301 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.301 * [taylor]: Taking taylor expansion of +nan.0 in im 0.302 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.302 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.302 * [taylor]: Taking taylor expansion of 2.0 in im 0.302 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.302 * [taylor]: Taking taylor expansion of im in im 0.303 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.303 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.303 * [taylor]: Taking taylor expansion of +nan.0 in im 0.303 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.303 * [taylor]: Taking taylor expansion of 2.0 in im 0.317 * [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 0.317 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.317 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.317 * [taylor]: Taking taylor expansion of 2.0 in im 0.318 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.318 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.318 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.318 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.318 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.318 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.318 * [taylor]: Taking taylor expansion of im in im 0.318 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.318 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.318 * [taylor]: Taking taylor expansion of re in im 0.320 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.320 * [taylor]: Taking taylor expansion of re in im 0.322 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.322 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.322 * [taylor]: Taking taylor expansion of 2.0 in re 0.323 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.323 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.323 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.323 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.323 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.323 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.323 * [taylor]: Taking taylor expansion of im in re 0.323 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.323 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.323 * [taylor]: Taking taylor expansion of re in re 0.326 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.326 * [taylor]: Taking taylor expansion of re in re 0.334 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.334 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.334 * [taylor]: Taking taylor expansion of 2.0 in re 0.335 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.335 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.335 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.335 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.335 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.335 * [taylor]: Taking taylor expansion of im in re 0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.335 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.335 * [taylor]: Taking taylor expansion of re in re 0.338 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.338 * [taylor]: Taking taylor expansion of re in re 0.343 * [taylor]: Taking taylor expansion of 0 in im 0.344 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.344 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.344 * [taylor]: Taking taylor expansion of +nan.0 in im 0.344 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.344 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.344 * [taylor]: Taking taylor expansion of 2.0 in im 0.345 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.345 * [taylor]: Taking taylor expansion of im in im 0.352 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.352 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.352 * [taylor]: Taking taylor expansion of +nan.0 in im 0.352 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.352 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.352 * [taylor]: Taking taylor expansion of 2.0 in im 0.353 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.353 * [taylor]: Taking taylor expansion of im in im 0.369 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.369 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.369 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.369 * [taylor]: Taking taylor expansion of +nan.0 in im 0.369 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.369 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.369 * [taylor]: Taking taylor expansion of 2.0 in im 0.370 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.370 * [taylor]: Taking taylor expansion of im in im 0.371 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.371 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.371 * [taylor]: Taking taylor expansion of +nan.0 in im 0.371 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.371 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.371 * [taylor]: Taking taylor expansion of 2.0 in im 0.372 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.372 * [taylor]: Taking taylor expansion of im in im 0.395 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1) 0.395 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.395 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.395 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.395 * [taylor]: Taking taylor expansion of re in im 0.395 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.395 * [taylor]: Taking taylor expansion of im in im 0.395 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.395 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.395 * [taylor]: Taking taylor expansion of re in re 0.395 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.396 * [taylor]: Taking taylor expansion of im in re 0.396 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.396 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.396 * [taylor]: Taking taylor expansion of re in re 0.396 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.396 * [taylor]: Taking taylor expansion of im in re 0.396 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.396 * [taylor]: Taking taylor expansion of im in im 0.396 * [taylor]: Taking taylor expansion of 0 in im 0.397 * [taylor]: Taking taylor expansion of 1 in im 0.399 * [taylor]: Taking taylor expansion of 0 in im 0.401 * [taylor]: Taking taylor expansion of 0 in im 0.401 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.401 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.401 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.401 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.401 * [taylor]: Taking taylor expansion of im in im 0.402 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.402 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.402 * [taylor]: Taking taylor expansion of re in im 0.402 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.402 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.402 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.402 * [taylor]: Taking taylor expansion of im in re 0.402 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.402 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.402 * [taylor]: Taking taylor expansion of re in re 0.402 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.402 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.402 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.402 * [taylor]: Taking taylor expansion of im in re 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.403 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.403 * [taylor]: Taking taylor expansion of re in re 0.403 * [taylor]: Taking taylor expansion of 1 in im 0.405 * [taylor]: Taking taylor expansion of 0 in im 0.406 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.406 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.406 * [taylor]: Taking taylor expansion of im in im 0.411 * [taylor]: Taking taylor expansion of 0 in im 0.414 * [taylor]: Taking taylor expansion of 0 in im 0.415 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.415 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.415 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.415 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.415 * [taylor]: Taking taylor expansion of im in im 0.416 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.416 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.416 * [taylor]: Taking taylor expansion of re in im 0.416 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.416 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.416 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.416 * [taylor]: Taking taylor expansion of im in re 0.416 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.416 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.416 * [taylor]: Taking taylor expansion of re in re 0.416 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.416 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.417 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.417 * [taylor]: Taking taylor expansion of im in re 0.417 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.417 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.417 * [taylor]: Taking taylor expansion of re in re 0.417 * [taylor]: Taking taylor expansion of 1 in im 0.419 * [taylor]: Taking taylor expansion of 0 in im 0.420 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.420 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.420 * [taylor]: Taking taylor expansion of im in im 0.422 * [taylor]: Taking taylor expansion of 0 in im 0.424 * [taylor]: Taking taylor expansion of 0 in im 0.426 * * * [progress]: simplifying candidates 0.427 * [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 1) (sqrt (+ (* re re) (* im im))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (* 1 1)) (sqrt (+ (* re re) (* im im))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (expm1 (+ (sqrt (+ (* re re) (* im im))) re)) (log1p (+ (sqrt (+ (* re re) (* im im))) re)) (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) (expm1 (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 (* (cbrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (cbrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt 1) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 1)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 1)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (* (cbrt 2.0) (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt 2.0)) (sqrt (* (sqrt 2.0) (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt 1) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt 2.0) (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)))) (expm1 (+ (* re re) (* im im))) (log1p (+ (* re re) (* im im))) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) (+ (* re re) (* im im)) (+ (* re re) (* im im)) (+ (* re re) (* im im)) (+ (* re re) (* im im)) (+ (* re re) (* im im)) im re (* -1 re) (+ re im) (* 2 re) 0 (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0 (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 0.433 * * [simplify]: iteration 0 : 335 enodes (cost 602 ) 0.440 * * [simplify]: iteration 1 : 1228 enodes (cost 559 ) 0.461 * * [simplify]: iteration 2 : 4368 enodes (cost 539 ) 0.539 * * [simplify]: iteration 3 : 5001 enodes (cost 537 ) 0.543 * [simplify]: Simplified to: (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (hypot re im) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (hypot re im) 1 (hypot re im) 1 (hypot re im) 1 (hypot re im) 1 (hypot re im) 1 (hypot re im) (hypot (pow im 3) (pow re 3)) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (expm1 (+ (sqrt (+ (* re re) (* im im))) re)) (log1p (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ re (hypot re im))) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ re (hypot re im))) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (pow (+ re (hypot re im)) 3) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (fma (pow re 2) re (pow (hypot re im) 3)) (fma re (- re (hypot re im)) (fma re re (* im im))) (+ 0 (pow im 2)) (- (hypot re im) re) (+ re (hypot re im)) (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)) (fabs (cbrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (cbrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 1 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (fabs (cbrt 2.0)) (sqrt (* (cbrt 2.0) (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt 2.0)) (sqrt (* (sqrt 2.0) (+ (sqrt (+ (* re re) (* im im))) re))) 1 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt 2.0) (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)))) (expm1 (+ (* re re) (* im im))) (log1p (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (pow (hypot re im) 6) (hypot re im) (hypot re im) (fma im (pow im 5) (pow re 6)) (fma im (- (pow im 3) (* (pow re 2) im)) (pow re 4)) (fma (- (pow im 3)) im (pow re 4)) (- (* re re) (* im im)) (fma re re (* im im)) (fma re re (* im im)) (fma re re (* im im)) (fma re re (* im im)) (fma re re (* im im)) im re (* -1 re) (+ re im) (* 2 re) 0 (* (* +nan.0 (sqrt 2.0)) (+ (- (* re re)) (- im re))) (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) 0 (fma re re (* im im)) (fma re re (* im im)) (fma re re (* im im)) 0.543 * * * [progress]: adding candidates to table 0.781 * * [progress]: iteration 2 / 4 0.781 * * * [progress]: picking best candidate 0.793 * * * * [pick]: Picked # 0.793 * * * [progress]: localizing error 0.800 * * * [progress]: generating rewritten candidates 0.800 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2) 0.803 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2 1) 0.804 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.812 * * * [progress]: generating series expansions 0.812 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2) 0.812 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 0.812 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.812 * [taylor]: Taking taylor expansion of re in im 0.812 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.812 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.812 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.812 * [taylor]: Taking taylor expansion of (* re re) in im 0.812 * [taylor]: Taking taylor expansion of re in im 0.812 * [taylor]: Taking taylor expansion of re in im 0.812 * [taylor]: Taking taylor expansion of (* im im) in im 0.812 * [taylor]: Taking taylor expansion of im in im 0.812 * [taylor]: Taking taylor expansion of im in im 0.814 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.814 * [taylor]: Taking taylor expansion of re in re 0.814 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.814 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.814 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.814 * [taylor]: Taking taylor expansion of (* re re) in re 0.814 * [taylor]: Taking taylor expansion of re in re 0.814 * [taylor]: Taking taylor expansion of re in re 0.814 * [taylor]: Taking taylor expansion of (* im im) in re 0.814 * [taylor]: Taking taylor expansion of im in re 0.814 * [taylor]: Taking taylor expansion of im in re 0.815 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.815 * [taylor]: Taking taylor expansion of re in re 0.815 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.815 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.815 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.815 * [taylor]: Taking taylor expansion of (* re re) in re 0.815 * [taylor]: Taking taylor expansion of re in re 0.815 * [taylor]: Taking taylor expansion of re in re 0.815 * [taylor]: Taking taylor expansion of (* im im) in re 0.815 * [taylor]: Taking taylor expansion of im in re 0.815 * [taylor]: Taking taylor expansion of im in re 0.816 * [taylor]: Taking taylor expansion of im in im 0.817 * [taylor]: Taking taylor expansion of 1 in im 0.819 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.819 * [taylor]: Taking taylor expansion of 1/2 in im 0.819 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.819 * [taylor]: Taking taylor expansion of im in im 0.821 * [taylor]: Taking taylor expansion of 0 in im 0.823 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 0.823 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 0.823 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.823 * [taylor]: Taking taylor expansion of re in im 0.823 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.823 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.823 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.823 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.823 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.823 * [taylor]: Taking taylor expansion of re in im 0.823 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.823 * [taylor]: Taking taylor expansion of re in im 0.823 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.823 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.823 * [taylor]: Taking taylor expansion of im in im 0.823 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.823 * [taylor]: Taking taylor expansion of im in im 0.826 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.826 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.826 * [taylor]: Taking taylor expansion of re in re 0.827 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.827 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.827 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.827 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.827 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.827 * [taylor]: Taking taylor expansion of re in re 0.827 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.827 * [taylor]: Taking taylor expansion of re in re 0.827 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.827 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.827 * [taylor]: Taking taylor expansion of im in re 0.828 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.828 * [taylor]: Taking taylor expansion of im in re 0.830 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.830 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.830 * [taylor]: Taking taylor expansion of re in re 0.830 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.831 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.831 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.831 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.831 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.831 * [taylor]: Taking taylor expansion of re in re 0.831 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.831 * [taylor]: Taking taylor expansion of re in re 0.831 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.831 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.831 * [taylor]: Taking taylor expansion of im in re 0.831 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.831 * [taylor]: Taking taylor expansion of im in re 0.834 * [taylor]: Taking taylor expansion of 2 in im 0.835 * [taylor]: Taking taylor expansion of 0 in im 0.838 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.838 * [taylor]: Taking taylor expansion of 1/2 in im 0.838 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.838 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.838 * [taylor]: Taking taylor expansion of im in im 0.843 * [taylor]: Taking taylor expansion of 0 in im 0.845 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 0.845 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.845 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.845 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.845 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.845 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.845 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.845 * [taylor]: Taking taylor expansion of -1 in im 0.845 * [taylor]: Taking taylor expansion of re in im 0.845 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.845 * [taylor]: Taking taylor expansion of -1 in im 0.845 * [taylor]: Taking taylor expansion of re in im 0.845 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.845 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.845 * [taylor]: Taking taylor expansion of -1 in im 0.845 * [taylor]: Taking taylor expansion of im in im 0.846 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.846 * [taylor]: Taking taylor expansion of -1 in im 0.846 * [taylor]: Taking taylor expansion of im in im 0.849 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.849 * [taylor]: Taking taylor expansion of re in im 0.849 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.849 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.849 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.849 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.849 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.849 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.849 * [taylor]: Taking taylor expansion of -1 in re 0.849 * [taylor]: Taking taylor expansion of re in re 0.852 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.852 * [taylor]: Taking taylor expansion of -1 in re 0.852 * [taylor]: Taking taylor expansion of re in re 0.852 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.853 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.853 * [taylor]: Taking taylor expansion of -1 in re 0.853 * [taylor]: Taking taylor expansion of im in re 0.853 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.853 * [taylor]: Taking taylor expansion of -1 in re 0.853 * [taylor]: Taking taylor expansion of im in re 0.855 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.855 * [taylor]: Taking taylor expansion of re in re 0.856 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.856 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.856 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.856 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.856 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.856 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.856 * [taylor]: Taking taylor expansion of -1 in re 0.856 * [taylor]: Taking taylor expansion of re in re 0.856 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.856 * [taylor]: Taking taylor expansion of -1 in re 0.856 * [taylor]: Taking taylor expansion of re in re 0.857 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.857 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.857 * [taylor]: Taking taylor expansion of -1 in re 0.857 * [taylor]: Taking taylor expansion of im in re 0.857 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.857 * [taylor]: Taking taylor expansion of -1 in re 0.857 * [taylor]: Taking taylor expansion of im in re 0.860 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.860 * [taylor]: Taking taylor expansion of re in re 0.860 * [taylor]: Taking taylor expansion of 0 in im 0.861 * [taylor]: Taking taylor expansion of 0 in im 0.865 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.865 * [taylor]: Taking taylor expansion of 1/2 in im 0.865 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.865 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.865 * [taylor]: Taking taylor expansion of im in im 0.870 * [taylor]: Taking taylor expansion of 0 in im 0.872 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2 1) 0.872 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.872 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.872 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.872 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.872 * [taylor]: Taking taylor expansion of (* re re) in im 0.872 * [taylor]: Taking taylor expansion of re in im 0.872 * [taylor]: Taking taylor expansion of re in im 0.872 * [taylor]: Taking taylor expansion of (* im im) in im 0.872 * [taylor]: Taking taylor expansion of im in im 0.872 * [taylor]: Taking taylor expansion of im in im 0.873 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.873 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.873 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.873 * [taylor]: Taking taylor expansion of (* re re) in re 0.873 * [taylor]: Taking taylor expansion of re in re 0.873 * [taylor]: Taking taylor expansion of re in re 0.873 * [taylor]: Taking taylor expansion of (* im im) in re 0.873 * [taylor]: Taking taylor expansion of im in re 0.873 * [taylor]: Taking taylor expansion of im in re 0.874 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.874 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.875 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.875 * [taylor]: Taking taylor expansion of (* re re) in re 0.875 * [taylor]: Taking taylor expansion of re in re 0.875 * [taylor]: Taking taylor expansion of re in re 0.875 * [taylor]: Taking taylor expansion of (* im im) in re 0.875 * [taylor]: Taking taylor expansion of im in re 0.875 * [taylor]: Taking taylor expansion of im in re 0.876 * [taylor]: Taking taylor expansion of im in im 0.876 * [taylor]: Taking taylor expansion of 0 in im 0.877 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.877 * [taylor]: Taking taylor expansion of 1/2 in im 0.877 * [taylor]: Taking taylor expansion of im in im 0.880 * [taylor]: Taking taylor expansion of 0 in im 0.880 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.880 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.880 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.881 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.881 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.881 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.881 * [taylor]: Taking taylor expansion of re in im 0.881 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.881 * [taylor]: Taking taylor expansion of re in im 0.881 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.881 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.881 * [taylor]: Taking taylor expansion of im in im 0.881 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.881 * [taylor]: Taking taylor expansion of im in im 0.884 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.884 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.884 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.884 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.884 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.884 * [taylor]: Taking taylor expansion of re in re 0.884 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.884 * [taylor]: Taking taylor expansion of re in re 0.885 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.885 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.885 * [taylor]: Taking taylor expansion of im in re 0.885 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.885 * [taylor]: Taking taylor expansion of im in re 0.888 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.888 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.888 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.888 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.888 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.888 * [taylor]: Taking taylor expansion of re in re 0.888 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.888 * [taylor]: Taking taylor expansion of re in re 0.888 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.888 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.888 * [taylor]: Taking taylor expansion of im in re 0.888 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.888 * [taylor]: Taking taylor expansion of im in re 0.891 * [taylor]: Taking taylor expansion of 1 in im 0.891 * [taylor]: Taking taylor expansion of 0 in im 0.894 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.894 * [taylor]: Taking taylor expansion of 1/2 in im 0.894 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.894 * [taylor]: Taking taylor expansion of im in im 0.898 * [taylor]: Taking taylor expansion of 0 in im 0.899 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.899 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.899 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.899 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.899 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.899 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.899 * [taylor]: Taking taylor expansion of -1 in im 0.899 * [taylor]: Taking taylor expansion of re in im 0.899 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.899 * [taylor]: Taking taylor expansion of -1 in im 0.899 * [taylor]: Taking taylor expansion of re in im 0.899 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.899 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.899 * [taylor]: Taking taylor expansion of -1 in im 0.899 * [taylor]: Taking taylor expansion of im in im 0.900 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.900 * [taylor]: Taking taylor expansion of -1 in im 0.900 * [taylor]: Taking taylor expansion of im in im 0.903 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.903 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.903 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.903 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.903 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.903 * [taylor]: Taking taylor expansion of -1 in re 0.903 * [taylor]: Taking taylor expansion of re in re 0.903 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.903 * [taylor]: Taking taylor expansion of -1 in re 0.903 * [taylor]: Taking taylor expansion of re in re 0.904 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.904 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.904 * [taylor]: Taking taylor expansion of -1 in re 0.904 * [taylor]: Taking taylor expansion of im in re 0.904 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.904 * [taylor]: Taking taylor expansion of -1 in re 0.904 * [taylor]: Taking taylor expansion of im in re 0.906 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.907 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.907 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.907 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.907 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.907 * [taylor]: Taking taylor expansion of -1 in re 0.907 * [taylor]: Taking taylor expansion of re in re 0.907 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.907 * [taylor]: Taking taylor expansion of -1 in re 0.907 * [taylor]: Taking taylor expansion of re in re 0.907 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.907 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.907 * [taylor]: Taking taylor expansion of -1 in re 0.907 * [taylor]: Taking taylor expansion of im in re 0.907 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.907 * [taylor]: Taking taylor expansion of -1 in re 0.907 * [taylor]: Taking taylor expansion of im in re 0.910 * [taylor]: Taking taylor expansion of 1 in im 0.910 * [taylor]: Taking taylor expansion of 0 in im 0.913 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.913 * [taylor]: Taking taylor expansion of 1/2 in im 0.913 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.913 * [taylor]: Taking taylor expansion of im in im 0.917 * [taylor]: Taking taylor expansion of 0 in im 0.918 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.918 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0 0.918 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im 0.918 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 0.918 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.918 * [taylor]: Taking taylor expansion of re in im 0.918 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.918 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.918 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.918 * [taylor]: Taking taylor expansion of (* re re) in im 0.918 * [taylor]: Taking taylor expansion of re in im 0.918 * [taylor]: Taking taylor expansion of re in im 0.918 * [taylor]: Taking taylor expansion of (* im im) in im 0.918 * [taylor]: Taking taylor expansion of im in im 0.918 * [taylor]: Taking taylor expansion of im in im 0.920 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.920 * [taylor]: Taking taylor expansion of 2.0 in im 0.921 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 0.921 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 0.921 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.921 * [taylor]: Taking taylor expansion of re in re 0.921 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.921 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.921 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.921 * [taylor]: Taking taylor expansion of (* re re) in re 0.921 * [taylor]: Taking taylor expansion of re in re 0.921 * [taylor]: Taking taylor expansion of re in re 0.921 * [taylor]: Taking taylor expansion of (* im im) in re 0.921 * [taylor]: Taking taylor expansion of im in re 0.921 * [taylor]: Taking taylor expansion of im in re 0.923 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.923 * [taylor]: Taking taylor expansion of 2.0 in re 0.923 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 0.923 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 0.923 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.923 * [taylor]: Taking taylor expansion of re in re 0.923 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.923 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.923 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.923 * [taylor]: Taking taylor expansion of (* re re) in re 0.923 * [taylor]: Taking taylor expansion of re in re 0.923 * [taylor]: Taking taylor expansion of re in re 0.923 * [taylor]: Taking taylor expansion of (* im im) in re 0.924 * [taylor]: Taking taylor expansion of im in re 0.924 * [taylor]: Taking taylor expansion of im in re 0.925 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.925 * [taylor]: Taking taylor expansion of 2.0 in re 0.926 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.926 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.926 * [taylor]: Taking taylor expansion of 2.0 in im 0.927 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.927 * [taylor]: Taking taylor expansion of im in im 0.932 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.932 * [taylor]: Taking taylor expansion of 1/2 in im 0.932 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.932 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.932 * [taylor]: Taking taylor expansion of 2.0 in im 0.932 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.932 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.932 * [taylor]: Taking taylor expansion of im in im 0.944 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.944 * [taylor]: Taking taylor expansion of 1/8 in im 0.944 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.944 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.944 * [taylor]: Taking taylor expansion of 2.0 in im 0.945 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.945 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.945 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.945 * [taylor]: Taking taylor expansion of im in im 0.961 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in (re im) around 0 0.961 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in im 0.961 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 0.961 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 0.961 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.961 * [taylor]: Taking taylor expansion of re in im 0.961 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.961 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.961 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.961 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.961 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.961 * [taylor]: Taking taylor expansion of re in im 0.961 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.961 * [taylor]: Taking taylor expansion of re in im 0.961 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.962 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.962 * [taylor]: Taking taylor expansion of im in im 0.962 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.962 * [taylor]: Taking taylor expansion of im in im 0.966 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.966 * [taylor]: Taking taylor expansion of 2.0 in im 0.967 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 0.967 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 0.967 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.967 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.967 * [taylor]: Taking taylor expansion of re in re 0.967 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.967 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.967 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.967 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.967 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.967 * [taylor]: Taking taylor expansion of re in re 0.968 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.968 * [taylor]: Taking taylor expansion of re in re 0.968 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.968 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.968 * [taylor]: Taking taylor expansion of im in re 0.968 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.968 * [taylor]: Taking taylor expansion of im in re 0.972 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.972 * [taylor]: Taking taylor expansion of 2.0 in re 0.973 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 0.973 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 0.973 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.973 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.973 * [taylor]: Taking taylor expansion of re in re 0.973 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.973 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.973 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.973 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.973 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.973 * [taylor]: Taking taylor expansion of re in re 0.973 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.973 * [taylor]: Taking taylor expansion of re in re 0.974 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.974 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.974 * [taylor]: Taking taylor expansion of im in re 0.974 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.974 * [taylor]: Taking taylor expansion of im in re 0.978 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.978 * [taylor]: Taking taylor expansion of 2.0 in re 0.979 * [taylor]: Taking taylor expansion of 0 in im 0.980 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.980 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.980 * [taylor]: Taking taylor expansion of +nan.0 in im 0.980 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.980 * [taylor]: Taking taylor expansion of 2.0 in im 0.986 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.986 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.986 * [taylor]: Taking taylor expansion of +nan.0 in im 0.986 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.986 * [taylor]: Taking taylor expansion of 2.0 in im 0.996 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.996 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.996 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.996 * [taylor]: Taking taylor expansion of +nan.0 in im 0.996 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.996 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.996 * [taylor]: Taking taylor expansion of 2.0 in im 0.997 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.997 * [taylor]: Taking taylor expansion of im in im 0.998 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.998 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.998 * [taylor]: Taking taylor expansion of +nan.0 in im 0.998 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.998 * [taylor]: Taking taylor expansion of 2.0 in im 1.013 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 1.014 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 1.014 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.014 * [taylor]: Taking taylor expansion of +nan.0 in im 1.014 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.014 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.014 * [taylor]: Taking taylor expansion of 2.0 in im 1.014 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.014 * [taylor]: Taking taylor expansion of im in im 1.015 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.015 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.015 * [taylor]: Taking taylor expansion of +nan.0 in im 1.015 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.015 * [taylor]: Taking taylor expansion of 2.0 in im 1.029 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 1.029 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 1.029 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.029 * [taylor]: Taking taylor expansion of 2.0 in im 1.030 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 1.030 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.030 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.030 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.030 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.030 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.030 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.030 * [taylor]: Taking taylor expansion of -1 in im 1.030 * [taylor]: Taking taylor expansion of re in im 1.030 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.030 * [taylor]: Taking taylor expansion of -1 in im 1.030 * [taylor]: Taking taylor expansion of re in im 1.030 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.030 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.030 * [taylor]: Taking taylor expansion of -1 in im 1.030 * [taylor]: Taking taylor expansion of im in im 1.030 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.030 * [taylor]: Taking taylor expansion of -1 in im 1.030 * [taylor]: Taking taylor expansion of im in im 1.034 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.034 * [taylor]: Taking taylor expansion of re in im 1.035 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 1.035 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.035 * [taylor]: Taking taylor expansion of 2.0 in re 1.036 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.036 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.036 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.036 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.036 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.036 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.036 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.036 * [taylor]: Taking taylor expansion of -1 in re 1.036 * [taylor]: Taking taylor expansion of re in re 1.036 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.036 * [taylor]: Taking taylor expansion of -1 in re 1.036 * [taylor]: Taking taylor expansion of re in re 1.037 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.037 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.037 * [taylor]: Taking taylor expansion of -1 in re 1.037 * [taylor]: Taking taylor expansion of im in re 1.037 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.037 * [taylor]: Taking taylor expansion of -1 in re 1.037 * [taylor]: Taking taylor expansion of im in re 1.040 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.040 * [taylor]: Taking taylor expansion of re in re 1.046 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 1.046 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.046 * [taylor]: Taking taylor expansion of 2.0 in re 1.046 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.046 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.046 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.046 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.046 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.046 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.046 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.046 * [taylor]: Taking taylor expansion of -1 in re 1.047 * [taylor]: Taking taylor expansion of re in re 1.047 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.047 * [taylor]: Taking taylor expansion of -1 in re 1.047 * [taylor]: Taking taylor expansion of re in re 1.047 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.047 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.047 * [taylor]: Taking taylor expansion of -1 in re 1.047 * [taylor]: Taking taylor expansion of im in re 1.047 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.047 * [taylor]: Taking taylor expansion of -1 in re 1.047 * [taylor]: Taking taylor expansion of im in re 1.050 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.050 * [taylor]: Taking taylor expansion of re in re 1.056 * [taylor]: Taking taylor expansion of 0 in im 1.057 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 1.057 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.057 * [taylor]: Taking taylor expansion of +nan.0 in im 1.057 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.057 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.057 * [taylor]: Taking taylor expansion of 2.0 in im 1.058 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.058 * [taylor]: Taking taylor expansion of im in im 1.066 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 1.066 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.066 * [taylor]: Taking taylor expansion of +nan.0 in im 1.066 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.066 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.066 * [taylor]: Taking taylor expansion of 2.0 in im 1.066 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.066 * [taylor]: Taking taylor expansion of im in im 1.083 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 1.083 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 1.083 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.083 * [taylor]: Taking taylor expansion of +nan.0 in im 1.083 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.083 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.083 * [taylor]: Taking taylor expansion of 2.0 in im 1.087 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.087 * [taylor]: Taking taylor expansion of im in im 1.089 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 1.089 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 1.089 * [taylor]: Taking taylor expansion of +nan.0 in im 1.089 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 1.089 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.089 * [taylor]: Taking taylor expansion of 2.0 in im 1.089 * [taylor]: Taking taylor expansion of (pow im 6) in im 1.089 * [taylor]: Taking taylor expansion of im in im 1.113 * * * [progress]: simplifying candidates 1.114 * [simplify]: Simplifying using # : (expm1 (+ (hypot re im) re)) (log1p (+ (hypot re im) re)) (* (exp (hypot re im)) (exp re)) (log (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))) (cbrt (+ (hypot re im) re)) (* (* (+ (hypot re im) re) (+ (hypot re im) re)) (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (+ (pow (hypot re im) 3) (pow re 3)) (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re))) (- (* (hypot re im) (hypot re im)) (* re re)) (- (hypot re im) re) (+ (hypot re im) re) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (expm1 (sqrt (* 2.0 (+ (hypot re im) re)))) (log1p (sqrt (* 2.0 (+ (hypot re im) re)))) (log (sqrt (* 2.0 (+ (hypot re im) re)))) (exp (sqrt (* 2.0 (+ (hypot re im) re)))) (* (cbrt (sqrt (* 2.0 (+ (hypot re im) re)))) (cbrt (sqrt (* 2.0 (+ (hypot re im) re))))) (cbrt (sqrt (* 2.0 (+ (hypot re im) re)))) (* (* (sqrt (* 2.0 (+ (hypot re im) re))) (sqrt (* 2.0 (+ (hypot re im) re)))) (sqrt (* 2.0 (+ (hypot re im) re)))) (sqrt 2.0) (sqrt (+ (hypot re im) re)) (sqrt (* (cbrt (* 2.0 (+ (hypot re im) re))) (cbrt (* 2.0 (+ (hypot re im) re))))) (sqrt (cbrt (* 2.0 (+ (hypot re im) re)))) (sqrt (sqrt (* 2.0 (+ (hypot re im) re)))) (sqrt (sqrt (* 2.0 (+ (hypot re im) re)))) (sqrt 1) (sqrt (* 2.0 (+ (hypot re im) re))) (sqrt (* (sqrt 2.0) (sqrt (+ (hypot re im) re)))) (sqrt (* (sqrt 2.0) (sqrt (+ (hypot re im) re)))) (sqrt (* 2.0 (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))))) (sqrt (cbrt (+ (hypot re im) re))) (sqrt (* 2.0 (sqrt (+ (hypot re im) re)))) (sqrt (sqrt (+ (hypot re im) re))) (sqrt (* 2.0 1)) (sqrt (+ (hypot re im) re)) (sqrt (* 2.0 1)) (sqrt (+ (hypot re im) re)) (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (* (cbrt 2.0) (+ (hypot re im) re))) (sqrt (sqrt 2.0)) (sqrt (* (sqrt 2.0) (+ (hypot re im) re))) (sqrt 1) (sqrt (* 2.0 (+ (hypot re im) re))) (sqrt (+ (hypot re im) re)) (sqrt 2.0) (sqrt (* 2.0 (+ (pow (hypot re im) 3) (pow re 3)))) (sqrt (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re)))) (sqrt (* 2.0 (- (* (hypot re im) (hypot re im)) (* re re)))) (sqrt (- (hypot re im) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (+ (hypot re im) re)))) (sqrt (sqrt (* 2.0 (+ (hypot re im) re)))) (+ re im) (* 2 re) 0 im re (* -1 re) (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0 1.118 * * [simplify]: iteration 0 : 238 enodes (cost 287 ) 1.123 * * [simplify]: iteration 1 : 714 enodes (cost 270 ) 1.136 * * [simplify]: iteration 2 : 2651 enodes (cost 262 ) 1.183 * * [simplify]: iteration 3 : 5002 enodes (cost 261 ) 1.186 * [simplify]: Simplified to: (expm1 (+ (hypot re im) re)) (log1p (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (log (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))) (cbrt (+ (hypot re im) re)) (pow (+ (hypot re im) re) 3) (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (+ (pow (hypot re im) 3) (pow re 3)) (fma (hypot re im) (- (hypot re im) re) (pow re 2)) (- (* (hypot re im) (hypot re im)) (* re re)) (- (hypot re im) re) (+ (hypot re im) re) (expm1 (hypot re im)) (log1p (hypot re im)) (fma re re (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (sqrt (hypot re im)) (sqrt (hypot re im)) (expm1 (sqrt (* 2.0 (+ (hypot re im) re)))) (log1p (sqrt (* 2.0 (+ (hypot re im) re)))) (log (sqrt (* 2.0 (+ (hypot re im) re)))) (exp (sqrt (* 2.0 (+ (hypot re im) re)))) (* (cbrt (sqrt (* 2.0 (+ (hypot re im) re)))) (cbrt (sqrt (* 2.0 (+ (hypot re im) re))))) (cbrt (sqrt (* 2.0 (+ (hypot re im) re)))) (pow (sqrt (* 2.0 (+ (hypot re im) re))) 3) (sqrt 2.0) (sqrt (+ (hypot re im) re)) (fabs (cbrt (* 2.0 (+ (hypot re im) re)))) (sqrt (cbrt (* 2.0 (+ (hypot re im) re)))) (sqrt (sqrt (* 2.0 (+ (hypot re im) re)))) (sqrt (sqrt (* 2.0 (+ (hypot re im) re)))) 1 (sqrt (* 2.0 (+ (hypot re im) re))) (sqrt (* (sqrt 2.0) (sqrt (+ (hypot re im) re)))) (sqrt (* (sqrt 2.0) (sqrt (+ (hypot re im) re)))) (sqrt (* 2.0 (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))))) (sqrt (cbrt (+ (hypot re im) re))) (sqrt (* 2.0 (sqrt (+ (hypot re im) re)))) (sqrt (sqrt (+ (hypot re im) re))) (sqrt 2.0) (sqrt (+ (hypot re im) re)) (sqrt 2.0) (sqrt (+ (hypot re im) re)) (fabs (cbrt 2.0)) (sqrt (* (cbrt 2.0) (+ (hypot re im) re))) (sqrt (sqrt 2.0)) (sqrt (* (sqrt 2.0) (+ (hypot re im) re))) 1 (sqrt (* 2.0 (+ (hypot re im) re))) (sqrt (+ (hypot re im) re)) (sqrt 2.0) (sqrt (* 2.0 (+ (pow (hypot re im) 3) (pow re 3)))) (sqrt (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re)))) (sqrt (* 2.0 (- (* (hypot re im) (hypot re im)) (* re re)))) (sqrt (- (hypot re im) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (+ (hypot re im) re)))) (sqrt (sqrt (* 2.0 (+ (hypot re im) re)))) (+ re im) (* 2 re) 0 im re (* -1 re) (* (* +nan.0 (sqrt 2.0)) (+ (- (* re re)) (- im re))) (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) 0 1.186 * * * [progress]: adding candidates to table 1.302 * * [progress]: iteration 3 / 4 1.302 * * * [progress]: picking best candidate 1.320 * * * * [pick]: Picked # 1.320 * * * [progress]: localizing error 1.330 * * * [progress]: generating rewritten candidates 1.330 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 2) 1.333 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 1.340 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.356 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 1.369 * * * [progress]: generating series expansions 1.369 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 2) 1.369 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 1.369 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.369 * [taylor]: Taking taylor expansion of re in im 1.369 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.369 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.369 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.369 * [taylor]: Taking taylor expansion of (* re re) in im 1.369 * [taylor]: Taking taylor expansion of re in im 1.369 * [taylor]: Taking taylor expansion of re in im 1.369 * [taylor]: Taking taylor expansion of (* im im) in im 1.369 * [taylor]: Taking taylor expansion of im in im 1.369 * [taylor]: Taking taylor expansion of im in im 1.371 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.371 * [taylor]: Taking taylor expansion of re in re 1.371 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.371 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.371 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.371 * [taylor]: Taking taylor expansion of (* re re) in re 1.371 * [taylor]: Taking taylor expansion of re in re 1.371 * [taylor]: Taking taylor expansion of re in re 1.371 * [taylor]: Taking taylor expansion of (* im im) in re 1.371 * [taylor]: Taking taylor expansion of im in re 1.371 * [taylor]: Taking taylor expansion of im in re 1.372 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.372 * [taylor]: Taking taylor expansion of re in re 1.372 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.372 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.372 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.372 * [taylor]: Taking taylor expansion of (* re re) in re 1.372 * [taylor]: Taking taylor expansion of re in re 1.372 * [taylor]: Taking taylor expansion of re in re 1.372 * [taylor]: Taking taylor expansion of (* im im) in re 1.372 * [taylor]: Taking taylor expansion of im in re 1.372 * [taylor]: Taking taylor expansion of im in re 1.373 * [taylor]: Taking taylor expansion of im in im 1.374 * [taylor]: Taking taylor expansion of 1 in im 1.375 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.375 * [taylor]: Taking taylor expansion of 1/2 in im 1.375 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.375 * [taylor]: Taking taylor expansion of im in im 1.379 * [taylor]: Taking taylor expansion of 0 in im 1.380 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 1.380 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 1.380 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.380 * [taylor]: Taking taylor expansion of re in im 1.380 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.380 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.380 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.380 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.380 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.380 * [taylor]: Taking taylor expansion of re in im 1.380 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.380 * [taylor]: Taking taylor expansion of re in im 1.380 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.380 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.380 * [taylor]: Taking taylor expansion of im in im 1.381 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.381 * [taylor]: Taking taylor expansion of im in im 1.387 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.387 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.387 * [taylor]: Taking taylor expansion of re in re 1.387 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.387 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.387 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.387 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.387 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.387 * [taylor]: Taking taylor expansion of re in re 1.388 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.388 * [taylor]: Taking taylor expansion of re in re 1.388 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.388 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.388 * [taylor]: Taking taylor expansion of im in re 1.388 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.388 * [taylor]: Taking taylor expansion of im in re 1.391 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.391 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.391 * [taylor]: Taking taylor expansion of re in re 1.391 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.391 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.391 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.391 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.391 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.391 * [taylor]: Taking taylor expansion of re in re 1.392 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.392 * [taylor]: Taking taylor expansion of re in re 1.392 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.392 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.392 * [taylor]: Taking taylor expansion of im in re 1.392 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.392 * [taylor]: Taking taylor expansion of im in re 1.395 * [taylor]: Taking taylor expansion of 2 in im 1.396 * [taylor]: Taking taylor expansion of 0 in im 1.399 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.399 * [taylor]: Taking taylor expansion of 1/2 in im 1.399 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.399 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.399 * [taylor]: Taking taylor expansion of im in im 1.404 * [taylor]: Taking taylor expansion of 0 in im 1.406 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 1.406 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.406 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.406 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.406 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.406 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.406 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.406 * [taylor]: Taking taylor expansion of -1 in im 1.406 * [taylor]: Taking taylor expansion of re in im 1.406 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.406 * [taylor]: Taking taylor expansion of -1 in im 1.406 * [taylor]: Taking taylor expansion of re in im 1.406 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.406 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.406 * [taylor]: Taking taylor expansion of -1 in im 1.406 * [taylor]: Taking taylor expansion of im in im 1.406 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.406 * [taylor]: Taking taylor expansion of -1 in im 1.406 * [taylor]: Taking taylor expansion of im in im 1.409 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.409 * [taylor]: Taking taylor expansion of re in im 1.409 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.409 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.410 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.410 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.410 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.410 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.410 * [taylor]: Taking taylor expansion of -1 in re 1.410 * [taylor]: Taking taylor expansion of re in re 1.410 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.410 * [taylor]: Taking taylor expansion of -1 in re 1.410 * [taylor]: Taking taylor expansion of re in re 1.410 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.410 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.410 * [taylor]: Taking taylor expansion of -1 in re 1.410 * [taylor]: Taking taylor expansion of im in re 1.410 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.410 * [taylor]: Taking taylor expansion of -1 in re 1.410 * [taylor]: Taking taylor expansion of im in re 1.413 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.413 * [taylor]: Taking taylor expansion of re in re 1.413 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.413 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.414 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.414 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.414 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.414 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.414 * [taylor]: Taking taylor expansion of -1 in re 1.414 * [taylor]: Taking taylor expansion of re in re 1.414 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.414 * [taylor]: Taking taylor expansion of -1 in re 1.414 * [taylor]: Taking taylor expansion of re in re 1.414 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.414 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.414 * [taylor]: Taking taylor expansion of -1 in re 1.414 * [taylor]: Taking taylor expansion of im in re 1.414 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.414 * [taylor]: Taking taylor expansion of -1 in re 1.414 * [taylor]: Taking taylor expansion of im in re 1.417 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.417 * [taylor]: Taking taylor expansion of re in re 1.418 * [taylor]: Taking taylor expansion of 0 in im 1.419 * [taylor]: Taking taylor expansion of 0 in im 1.422 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.422 * [taylor]: Taking taylor expansion of 1/2 in im 1.422 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.422 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.422 * [taylor]: Taking taylor expansion of im in im 1.428 * [taylor]: Taking taylor expansion of 0 in im 1.429 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 1.430 * [approximate]: Taking taylor expansion of (* (+ re (hypot re im)) (sqrt 2.0)) in (re im) around 0 1.430 * [taylor]: Taking taylor expansion of (* (+ re (hypot re im)) (sqrt 2.0)) in im 1.430 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.430 * [taylor]: Taking taylor expansion of re in im 1.430 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.430 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.430 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.430 * [taylor]: Taking taylor expansion of (* re re) in im 1.430 * [taylor]: Taking taylor expansion of re in im 1.430 * [taylor]: Taking taylor expansion of re in im 1.430 * [taylor]: Taking taylor expansion of (* im im) in im 1.430 * [taylor]: Taking taylor expansion of im in im 1.430 * [taylor]: Taking taylor expansion of im in im 1.431 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.431 * [taylor]: Taking taylor expansion of 2.0 in im 1.432 * [taylor]: Taking taylor expansion of (* (+ re (hypot re im)) (sqrt 2.0)) in re 1.432 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.432 * [taylor]: Taking taylor expansion of re in re 1.432 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.432 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.432 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.432 * [taylor]: Taking taylor expansion of (* re re) in re 1.432 * [taylor]: Taking taylor expansion of re in re 1.432 * [taylor]: Taking taylor expansion of re in re 1.432 * [taylor]: Taking taylor expansion of (* im im) in re 1.432 * [taylor]: Taking taylor expansion of im in re 1.432 * [taylor]: Taking taylor expansion of im in re 1.433 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.433 * [taylor]: Taking taylor expansion of 2.0 in re 1.434 * [taylor]: Taking taylor expansion of (* (+ re (hypot re im)) (sqrt 2.0)) in re 1.434 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.434 * [taylor]: Taking taylor expansion of re in re 1.434 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.434 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.434 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.434 * [taylor]: Taking taylor expansion of (* re re) in re 1.434 * [taylor]: Taking taylor expansion of re in re 1.434 * [taylor]: Taking taylor expansion of re in re 1.434 * [taylor]: Taking taylor expansion of (* im im) in re 1.434 * [taylor]: Taking taylor expansion of im in re 1.434 * [taylor]: Taking taylor expansion of im in re 1.435 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.435 * [taylor]: Taking taylor expansion of 2.0 in re 1.436 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 1.436 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.436 * [taylor]: Taking taylor expansion of 2.0 in im 1.437 * [taylor]: Taking taylor expansion of im in im 1.438 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.438 * [taylor]: Taking taylor expansion of 2.0 in im 1.444 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 2.0) im)) in im 1.444 * [taylor]: Taking taylor expansion of 1/2 in im 1.444 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 1.444 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.444 * [taylor]: Taking taylor expansion of 2.0 in im 1.444 * [taylor]: Taking taylor expansion of im in im 1.450 * [taylor]: Taking taylor expansion of 0 in im 1.454 * [approximate]: Taking taylor expansion of (* (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) (sqrt 2.0)) in (re im) around 0 1.454 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) (sqrt 2.0)) in im 1.454 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 1.454 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.454 * [taylor]: Taking taylor expansion of re in im 1.454 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.454 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.454 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.454 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.454 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.454 * [taylor]: Taking taylor expansion of re in im 1.454 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.454 * [taylor]: Taking taylor expansion of re in im 1.454 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.454 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.454 * [taylor]: Taking taylor expansion of im in im 1.455 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.455 * [taylor]: Taking taylor expansion of im in im 1.457 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.458 * [taylor]: Taking taylor expansion of 2.0 in im 1.458 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) (sqrt 2.0)) in re 1.458 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.458 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.458 * [taylor]: Taking taylor expansion of re in re 1.459 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.459 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.459 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.459 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.459 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.459 * [taylor]: Taking taylor expansion of re in re 1.459 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.459 * [taylor]: Taking taylor expansion of re in re 1.459 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.459 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.459 * [taylor]: Taking taylor expansion of im in re 1.459 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.459 * [taylor]: Taking taylor expansion of im in re 1.465 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.465 * [taylor]: Taking taylor expansion of 2.0 in re 1.466 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) (sqrt 2.0)) in re 1.466 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.466 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.466 * [taylor]: Taking taylor expansion of re in re 1.466 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.467 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.467 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.467 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.467 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.467 * [taylor]: Taking taylor expansion of re in re 1.467 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.467 * [taylor]: Taking taylor expansion of re in re 1.467 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.467 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.467 * [taylor]: Taking taylor expansion of im in re 1.467 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.467 * [taylor]: Taking taylor expansion of im in re 1.470 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.470 * [taylor]: Taking taylor expansion of 2.0 in re 1.472 * [taylor]: Taking taylor expansion of (* 2 (sqrt 2.0)) in im 1.472 * [taylor]: Taking taylor expansion of 2 in im 1.472 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.472 * [taylor]: Taking taylor expansion of 2.0 in im 1.474 * [taylor]: Taking taylor expansion of 0 in im 1.479 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 2.0) (pow im 2))) in im 1.479 * [taylor]: Taking taylor expansion of 1/2 in im 1.479 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.479 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.479 * [taylor]: Taking taylor expansion of 2.0 in im 1.480 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.480 * [taylor]: Taking taylor expansion of im in im 1.488 * [taylor]: Taking taylor expansion of 0 in im 1.492 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in (re im) around 0 1.492 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 1.492 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.492 * [taylor]: Taking taylor expansion of 2.0 in im 1.493 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.493 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.493 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.493 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.493 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.493 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.493 * [taylor]: Taking taylor expansion of -1 in im 1.493 * [taylor]: Taking taylor expansion of re in im 1.493 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.493 * [taylor]: Taking taylor expansion of -1 in im 1.493 * [taylor]: Taking taylor expansion of re in im 1.493 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.493 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.493 * [taylor]: Taking taylor expansion of -1 in im 1.493 * [taylor]: Taking taylor expansion of im in im 1.494 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.494 * [taylor]: Taking taylor expansion of -1 in im 1.494 * [taylor]: Taking taylor expansion of im in im 1.497 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.497 * [taylor]: Taking taylor expansion of re in im 1.497 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.497 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.497 * [taylor]: Taking taylor expansion of 2.0 in re 1.498 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.498 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.498 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.498 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.498 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.498 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.498 * [taylor]: Taking taylor expansion of -1 in re 1.498 * [taylor]: Taking taylor expansion of re in re 1.498 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.498 * [taylor]: Taking taylor expansion of -1 in re 1.498 * [taylor]: Taking taylor expansion of re in re 1.498 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.499 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.499 * [taylor]: Taking taylor expansion of -1 in re 1.499 * [taylor]: Taking taylor expansion of im in re 1.499 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.499 * [taylor]: Taking taylor expansion of -1 in re 1.499 * [taylor]: Taking taylor expansion of im in re 1.501 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.501 * [taylor]: Taking taylor expansion of re in re 1.502 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.502 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.502 * [taylor]: Taking taylor expansion of 2.0 in re 1.502 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.502 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.503 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.503 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.503 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.503 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.503 * [taylor]: Taking taylor expansion of -1 in re 1.503 * [taylor]: Taking taylor expansion of re in re 1.503 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.503 * [taylor]: Taking taylor expansion of -1 in re 1.503 * [taylor]: Taking taylor expansion of re in re 1.503 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.503 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.503 * [taylor]: Taking taylor expansion of -1 in re 1.503 * [taylor]: Taking taylor expansion of im in re 1.503 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.503 * [taylor]: Taking taylor expansion of -1 in re 1.503 * [taylor]: Taking taylor expansion of im in re 1.506 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.506 * [taylor]: Taking taylor expansion of re in re 1.507 * [taylor]: Taking taylor expansion of 0 in im 1.509 * [taylor]: Taking taylor expansion of 0 in im 1.513 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 2.0) (pow im 2))) in im 1.513 * [taylor]: Taking taylor expansion of 1/2 in im 1.513 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.513 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.513 * [taylor]: Taking taylor expansion of 2.0 in im 1.514 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.514 * [taylor]: Taking taylor expansion of im in im 1.521 * [taylor]: Taking taylor expansion of 0 in im 1.524 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.524 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0 1.524 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im 1.525 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 1.525 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.525 * [taylor]: Taking taylor expansion of re in im 1.525 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.525 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.525 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.525 * [taylor]: Taking taylor expansion of (* re re) in im 1.525 * [taylor]: Taking taylor expansion of re in im 1.525 * [taylor]: Taking taylor expansion of re in im 1.525 * [taylor]: Taking taylor expansion of (* im im) in im 1.525 * [taylor]: Taking taylor expansion of im in im 1.525 * [taylor]: Taking taylor expansion of im in im 1.526 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.526 * [taylor]: Taking taylor expansion of 2.0 in im 1.527 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 1.527 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 1.527 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.527 * [taylor]: Taking taylor expansion of re in re 1.527 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.527 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.527 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.527 * [taylor]: Taking taylor expansion of (* re re) in re 1.527 * [taylor]: Taking taylor expansion of re in re 1.527 * [taylor]: Taking taylor expansion of re in re 1.527 * [taylor]: Taking taylor expansion of (* im im) in re 1.527 * [taylor]: Taking taylor expansion of im in re 1.527 * [taylor]: Taking taylor expansion of im in re 1.529 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.529 * [taylor]: Taking taylor expansion of 2.0 in re 1.529 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 1.530 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 1.530 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.530 * [taylor]: Taking taylor expansion of re in re 1.530 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.530 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.530 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.530 * [taylor]: Taking taylor expansion of (* re re) in re 1.530 * [taylor]: Taking taylor expansion of re in re 1.530 * [taylor]: Taking taylor expansion of re in re 1.530 * [taylor]: Taking taylor expansion of (* im im) in re 1.530 * [taylor]: Taking taylor expansion of im in re 1.530 * [taylor]: Taking taylor expansion of im in re 1.531 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.531 * [taylor]: Taking taylor expansion of 2.0 in re 1.532 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 1.532 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.532 * [taylor]: Taking taylor expansion of 2.0 in im 1.533 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.533 * [taylor]: Taking taylor expansion of im in im 1.535 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 1.535 * [taylor]: Taking taylor expansion of 1/2 in im 1.535 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 1.535 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.535 * [taylor]: Taking taylor expansion of 2.0 in im 1.536 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.536 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.536 * [taylor]: Taking taylor expansion of im in im 1.551 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 1.551 * [taylor]: Taking taylor expansion of 1/8 in im 1.551 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 1.551 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.551 * [taylor]: Taking taylor expansion of 2.0 in im 1.552 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 1.552 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 1.552 * [taylor]: Taking taylor expansion of (pow im 3) in im 1.552 * [taylor]: Taking taylor expansion of im in im 1.568 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in (re im) around 0 1.568 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in im 1.568 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 1.568 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 1.568 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.568 * [taylor]: Taking taylor expansion of re in im 1.568 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.568 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.568 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.569 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.569 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.569 * [taylor]: Taking taylor expansion of re in im 1.569 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.569 * [taylor]: Taking taylor expansion of re in im 1.569 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.569 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.569 * [taylor]: Taking taylor expansion of im in im 1.569 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.569 * [taylor]: Taking taylor expansion of im in im 1.573 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.573 * [taylor]: Taking taylor expansion of 2.0 in im 1.574 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 1.574 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 1.574 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.574 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.574 * [taylor]: Taking taylor expansion of re in re 1.574 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.574 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.574 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.574 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.574 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.574 * [taylor]: Taking taylor expansion of re in re 1.575 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.575 * [taylor]: Taking taylor expansion of re in re 1.575 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.575 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.575 * [taylor]: Taking taylor expansion of im in re 1.575 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.575 * [taylor]: Taking taylor expansion of im in re 1.579 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.579 * [taylor]: Taking taylor expansion of 2.0 in re 1.580 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 1.580 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 1.580 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.580 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.580 * [taylor]: Taking taylor expansion of re in re 1.580 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.580 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.580 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.580 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.580 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.580 * [taylor]: Taking taylor expansion of re in re 1.580 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.580 * [taylor]: Taking taylor expansion of re in re 1.581 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.581 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.581 * [taylor]: Taking taylor expansion of im in re 1.581 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.581 * [taylor]: Taking taylor expansion of im in re 1.585 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.585 * [taylor]: Taking taylor expansion of 2.0 in re 1.586 * [taylor]: Taking taylor expansion of 0 in im 1.587 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.587 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.587 * [taylor]: Taking taylor expansion of +nan.0 in im 1.587 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.587 * [taylor]: Taking taylor expansion of 2.0 in im 1.593 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.593 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.593 * [taylor]: Taking taylor expansion of +nan.0 in im 1.593 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.593 * [taylor]: Taking taylor expansion of 2.0 in im 1.603 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 1.603 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 1.603 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.603 * [taylor]: Taking taylor expansion of +nan.0 in im 1.603 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.603 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.603 * [taylor]: Taking taylor expansion of 2.0 in im 1.604 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.604 * [taylor]: Taking taylor expansion of im in im 1.605 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.605 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.605 * [taylor]: Taking taylor expansion of +nan.0 in im 1.605 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.605 * [taylor]: Taking taylor expansion of 2.0 in im 1.620 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 1.621 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 1.621 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.621 * [taylor]: Taking taylor expansion of +nan.0 in im 1.621 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.621 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.621 * [taylor]: Taking taylor expansion of 2.0 in im 1.621 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.621 * [taylor]: Taking taylor expansion of im in im 1.622 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.622 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.622 * [taylor]: Taking taylor expansion of +nan.0 in im 1.622 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.622 * [taylor]: Taking taylor expansion of 2.0 in im 1.636 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 1.637 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 1.637 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.637 * [taylor]: Taking taylor expansion of 2.0 in im 1.637 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 1.637 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.637 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.637 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.637 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.638 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.638 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.638 * [taylor]: Taking taylor expansion of -1 in im 1.638 * [taylor]: Taking taylor expansion of re in im 1.638 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.638 * [taylor]: Taking taylor expansion of -1 in im 1.638 * [taylor]: Taking taylor expansion of re in im 1.638 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.638 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.638 * [taylor]: Taking taylor expansion of -1 in im 1.638 * [taylor]: Taking taylor expansion of im in im 1.638 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.638 * [taylor]: Taking taylor expansion of -1 in im 1.638 * [taylor]: Taking taylor expansion of im in im 1.641 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.641 * [taylor]: Taking taylor expansion of re in im 1.642 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 1.643 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.643 * [taylor]: Taking taylor expansion of 2.0 in re 1.643 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.643 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.643 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.643 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.643 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.643 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.643 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.643 * [taylor]: Taking taylor expansion of -1 in re 1.643 * [taylor]: Taking taylor expansion of re in re 1.644 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.644 * [taylor]: Taking taylor expansion of -1 in re 1.644 * [taylor]: Taking taylor expansion of re in re 1.644 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.644 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.644 * [taylor]: Taking taylor expansion of -1 in re 1.644 * [taylor]: Taking taylor expansion of im in re 1.644 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.644 * [taylor]: Taking taylor expansion of -1 in re 1.644 * [taylor]: Taking taylor expansion of im in re 1.647 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.647 * [taylor]: Taking taylor expansion of re in re 1.653 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 1.653 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.653 * [taylor]: Taking taylor expansion of 2.0 in re 1.654 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.654 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.654 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.654 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.654 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.654 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.654 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.654 * [taylor]: Taking taylor expansion of -1 in re 1.654 * [taylor]: Taking taylor expansion of re in re 1.654 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.654 * [taylor]: Taking taylor expansion of -1 in re 1.654 * [taylor]: Taking taylor expansion of re in re 1.655 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.655 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.655 * [taylor]: Taking taylor expansion of -1 in re 1.655 * [taylor]: Taking taylor expansion of im in re 1.655 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.655 * [taylor]: Taking taylor expansion of -1 in re 1.655 * [taylor]: Taking taylor expansion of im in re 1.657 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.657 * [taylor]: Taking taylor expansion of re in re 1.663 * [taylor]: Taking taylor expansion of 0 in im 1.664 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 1.664 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.664 * [taylor]: Taking taylor expansion of +nan.0 in im 1.664 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.664 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.664 * [taylor]: Taking taylor expansion of 2.0 in im 1.665 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.665 * [taylor]: Taking taylor expansion of im in im 1.673 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 1.673 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.673 * [taylor]: Taking taylor expansion of +nan.0 in im 1.673 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.673 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.673 * [taylor]: Taking taylor expansion of 2.0 in im 1.674 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.674 * [taylor]: Taking taylor expansion of im in im 1.690 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 1.690 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 1.690 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.690 * [taylor]: Taking taylor expansion of +nan.0 in im 1.690 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.690 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.690 * [taylor]: Taking taylor expansion of 2.0 in im 1.691 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.691 * [taylor]: Taking taylor expansion of im in im 1.696 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 1.696 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 1.696 * [taylor]: Taking taylor expansion of +nan.0 in im 1.696 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 1.696 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.696 * [taylor]: Taking taylor expansion of 2.0 in im 1.697 * [taylor]: Taking taylor expansion of (pow im 6) in im 1.697 * [taylor]: Taking taylor expansion of im in im 1.720 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 1.720 * [approximate]: Taking taylor expansion of (sqrt (* (+ re (hypot re im)) (sqrt 2.0))) in (re im) around 0 1.720 * [taylor]: Taking taylor expansion of (sqrt (* (+ re (hypot re im)) (sqrt 2.0))) in im 1.720 * [taylor]: Taking taylor expansion of (* (+ re (hypot re im)) (sqrt 2.0)) in im 1.720 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.720 * [taylor]: Taking taylor expansion of re in im 1.720 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.720 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.720 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.720 * [taylor]: Taking taylor expansion of (* re re) in im 1.720 * [taylor]: Taking taylor expansion of re in im 1.720 * [taylor]: Taking taylor expansion of re in im 1.720 * [taylor]: Taking taylor expansion of (* im im) in im 1.720 * [taylor]: Taking taylor expansion of im in im 1.720 * [taylor]: Taking taylor expansion of im in im 1.722 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.722 * [taylor]: Taking taylor expansion of 2.0 in im 1.724 * [taylor]: Taking taylor expansion of (sqrt (* (+ re (hypot re im)) (sqrt 2.0))) in re 1.724 * [taylor]: Taking taylor expansion of (* (+ re (hypot re im)) (sqrt 2.0)) in re 1.724 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.724 * [taylor]: Taking taylor expansion of re in re 1.724 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.724 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.724 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.724 * [taylor]: Taking taylor expansion of (* re re) in re 1.724 * [taylor]: Taking taylor expansion of re in re 1.724 * [taylor]: Taking taylor expansion of re in re 1.724 * [taylor]: Taking taylor expansion of (* im im) in re 1.724 * [taylor]: Taking taylor expansion of im in re 1.724 * [taylor]: Taking taylor expansion of im in re 1.725 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.725 * [taylor]: Taking taylor expansion of 2.0 in re 1.728 * [taylor]: Taking taylor expansion of (sqrt (* (+ re (hypot re im)) (sqrt 2.0))) in re 1.728 * [taylor]: Taking taylor expansion of (* (+ re (hypot re im)) (sqrt 2.0)) in re 1.728 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.728 * [taylor]: Taking taylor expansion of re in re 1.728 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.728 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.728 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.728 * [taylor]: Taking taylor expansion of (* re re) in re 1.728 * [taylor]: Taking taylor expansion of re in re 1.728 * [taylor]: Taking taylor expansion of re in re 1.728 * [taylor]: Taking taylor expansion of (* im im) in re 1.728 * [taylor]: Taking taylor expansion of im in re 1.728 * [taylor]: Taking taylor expansion of im in re 1.729 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.729 * [taylor]: Taking taylor expansion of 2.0 in re 1.732 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) im)) in im 1.732 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 1.732 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.732 * [taylor]: Taking taylor expansion of 2.0 in im 1.733 * [taylor]: Taking taylor expansion of im in im 1.736 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ (sqrt 2.0) im))) in im 1.736 * [taylor]: Taking taylor expansion of 1/2 in im 1.736 * [taylor]: Taking taylor expansion of (sqrt (/ (sqrt 2.0) im)) in im 1.736 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 1.736 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.736 * [taylor]: Taking taylor expansion of 2.0 in im 1.737 * [taylor]: Taking taylor expansion of im in im 1.746 * [taylor]: Taking taylor expansion of (* 1/8 (sqrt (/ (sqrt 2.0) (pow im 3)))) in im 1.746 * [taylor]: Taking taylor expansion of 1/8 in im 1.746 * [taylor]: Taking taylor expansion of (sqrt (/ (sqrt 2.0) (pow im 3))) in im 1.746 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 3)) in im 1.746 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.746 * [taylor]: Taking taylor expansion of 2.0 in im 1.747 * [taylor]: Taking taylor expansion of (pow im 3) in im 1.747 * [taylor]: Taking taylor expansion of im in im 1.762 * [approximate]: Taking taylor expansion of (sqrt (* (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) (sqrt 2.0))) in (re im) around 0 1.762 * [taylor]: Taking taylor expansion of (sqrt (* (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) (sqrt 2.0))) in im 1.762 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) (sqrt 2.0)) in im 1.762 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 1.762 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.762 * [taylor]: Taking taylor expansion of re in im 1.762 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.763 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.763 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.763 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.763 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.763 * [taylor]: Taking taylor expansion of re in im 1.763 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.763 * [taylor]: Taking taylor expansion of re in im 1.763 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.763 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.763 * [taylor]: Taking taylor expansion of im in im 1.763 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.763 * [taylor]: Taking taylor expansion of im in im 1.766 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.766 * [taylor]: Taking taylor expansion of 2.0 in im 1.769 * [taylor]: Taking taylor expansion of (sqrt (* (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) (sqrt 2.0))) in re 1.769 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) (sqrt 2.0)) in re 1.769 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.769 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.769 * [taylor]: Taking taylor expansion of re in re 1.769 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.769 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.769 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.769 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.769 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.769 * [taylor]: Taking taylor expansion of re in re 1.770 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.770 * [taylor]: Taking taylor expansion of re in re 1.770 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.770 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.770 * [taylor]: Taking taylor expansion of im in re 1.770 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.770 * [taylor]: Taking taylor expansion of im in re 1.776 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.776 * [taylor]: Taking taylor expansion of 2.0 in re 1.779 * [taylor]: Taking taylor expansion of (sqrt (* (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) (sqrt 2.0))) in re 1.779 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) (sqrt 2.0)) in re 1.779 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.779 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.779 * [taylor]: Taking taylor expansion of re in re 1.780 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.780 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.780 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.780 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.780 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.780 * [taylor]: Taking taylor expansion of re in re 1.780 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.780 * [taylor]: Taking taylor expansion of re in re 1.780 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.780 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.780 * [taylor]: Taking taylor expansion of im in re 1.781 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.781 * [taylor]: Taking taylor expansion of im in re 1.783 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.783 * [taylor]: Taking taylor expansion of 2.0 in re 1.786 * [taylor]: Taking taylor expansion of 0 in im 1.787 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.787 * [taylor]: Taking taylor expansion of +nan.0 in im 1.787 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.787 * [taylor]: Taking taylor expansion of 2.0 in im 1.791 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 2)) in im 1.791 * [taylor]: Taking taylor expansion of +nan.0 in im 1.791 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 1.792 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.792 * [taylor]: Taking taylor expansion of 2.0 in im 1.802 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ (sqrt 2.0) (pow im 2))) (* +nan.0 (pow (sqrt 2.0) 3)))) in im 1.802 * [taylor]: Taking taylor expansion of +nan.0 in im 1.803 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (sqrt 2.0) (pow im 2))) (* +nan.0 (pow (sqrt 2.0) 3))) in im 1.803 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 2.0) (pow im 2))) in im 1.803 * [taylor]: Taking taylor expansion of 1/2 in im 1.803 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.803 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.803 * [taylor]: Taking taylor expansion of 2.0 in im 1.803 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.803 * [taylor]: Taking taylor expansion of im in im 1.804 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 3)) in im 1.804 * [taylor]: Taking taylor expansion of +nan.0 in im 1.804 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 3) in im 1.804 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.804 * [taylor]: Taking taylor expansion of 2.0 in im 1.821 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 2))) (- (* +nan.0 (pow (sqrt 2.0) 4))))) in im 1.821 * [taylor]: Taking taylor expansion of +nan.0 in im 1.821 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 2))) (- (* +nan.0 (pow (sqrt 2.0) 4)))) in im 1.821 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 2))) in im 1.821 * [taylor]: Taking taylor expansion of +nan.0 in im 1.821 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (pow im 2)) in im 1.821 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 1.821 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.821 * [taylor]: Taking taylor expansion of 2.0 in im 1.822 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.822 * [taylor]: Taking taylor expansion of im in im 1.824 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (sqrt 2.0) 4))) in im 1.824 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 4)) in im 1.824 * [taylor]: Taking taylor expansion of +nan.0 in im 1.824 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 4) in im 1.824 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.824 * [taylor]: Taking taylor expansion of 2.0 in im 1.852 * [approximate]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 1.853 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 1.853 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 1.853 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.853 * [taylor]: Taking taylor expansion of 2.0 in im 1.853 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.853 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 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 im 1.853 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.853 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.854 * [taylor]: Taking taylor expansion of -1 in im 1.854 * [taylor]: Taking taylor expansion of re in im 1.854 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.854 * [taylor]: Taking taylor expansion of -1 in im 1.854 * [taylor]: Taking taylor expansion of re in im 1.854 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.854 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.854 * [taylor]: Taking taylor expansion of -1 in im 1.854 * [taylor]: Taking taylor expansion of im in im 1.854 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.854 * [taylor]: Taking taylor expansion of -1 in im 1.854 * [taylor]: Taking taylor expansion of im in im 1.857 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.857 * [taylor]: Taking taylor expansion of re in im 1.859 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 1.859 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.859 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.859 * [taylor]: Taking taylor expansion of 2.0 in re 1.860 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.860 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.860 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.860 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.860 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.860 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.860 * [taylor]: Taking taylor expansion of -1 in re 1.860 * [taylor]: Taking taylor expansion of re in re 1.861 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.861 * [taylor]: Taking taylor expansion of -1 in re 1.861 * [taylor]: Taking taylor expansion of re in re 1.861 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.861 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.861 * [taylor]: Taking taylor expansion of -1 in re 1.861 * [taylor]: Taking taylor expansion of im in re 1.861 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.861 * [taylor]: Taking taylor expansion of -1 in re 1.861 * [taylor]: Taking taylor expansion of im in re 1.864 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.864 * [taylor]: Taking taylor expansion of re in re 1.872 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 1.872 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.872 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.872 * [taylor]: Taking taylor expansion of 2.0 in re 1.873 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.873 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.873 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.873 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.873 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.873 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.873 * [taylor]: Taking taylor expansion of -1 in re 1.873 * [taylor]: Taking taylor expansion of re in re 1.873 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.873 * [taylor]: Taking taylor expansion of -1 in re 1.873 * [taylor]: Taking taylor expansion of re in re 1.873 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.873 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.873 * [taylor]: Taking taylor expansion of -1 in re 1.873 * [taylor]: Taking taylor expansion of im in re 1.874 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.874 * [taylor]: Taking taylor expansion of -1 in re 1.874 * [taylor]: Taking taylor expansion of im in re 1.876 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.876 * [taylor]: Taking taylor expansion of re in re 1.884 * [taylor]: Taking taylor expansion of 0 in im 1.884 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.884 * [taylor]: Taking taylor expansion of +nan.0 in im 1.884 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.884 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.884 * [taylor]: Taking taylor expansion of 2.0 in im 1.885 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.885 * [taylor]: Taking taylor expansion of im in im 1.894 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 4))) in im 1.894 * [taylor]: Taking taylor expansion of +nan.0 in im 1.894 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (pow im 4)) in im 1.894 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 1.894 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.894 * [taylor]: Taking taylor expansion of 2.0 in im 1.894 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.894 * [taylor]: Taking taylor expansion of im in im 1.916 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* 1/8 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 6)))))) in im 1.916 * [taylor]: Taking taylor expansion of +nan.0 in im 1.916 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 6))))) in im 1.916 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 2.0) (pow im 4))) in im 1.916 * [taylor]: Taking taylor expansion of 1/8 in im 1.916 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.916 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.916 * [taylor]: Taking taylor expansion of 2.0 in im 1.917 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.917 * [taylor]: Taking taylor expansion of im in im 1.918 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 6)))) in im 1.918 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 6))) in im 1.918 * [taylor]: Taking taylor expansion of +nan.0 in im 1.918 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 3) (pow im 6)) in im 1.918 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 3) in im 1.918 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.918 * [taylor]: Taking taylor expansion of 2.0 in im 1.918 * [taylor]: Taking taylor expansion of (pow im 6) in im 1.919 * [taylor]: Taking taylor expansion of im in im 1.968 * * * [progress]: simplifying candidates 1.970 * [simplify]: Simplifying using # : (expm1 (+ (hypot re im) re)) (log1p (+ (hypot re im) re)) (* (exp (hypot re im)) (exp re)) (log (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))) (cbrt (+ (hypot re im) re)) (* (* (+ (hypot re im) re) (+ (hypot re im) re)) (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (+ (pow (hypot re im) 3) (pow re 3)) (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re))) (- (* (hypot re im) (hypot re im)) (* re re)) (- (hypot re im) re) (+ (hypot re im) re) (expm1 (* (sqrt 2.0) (+ (hypot re im) re))) (log1p (* (sqrt 2.0) (+ (hypot re im) re))) (* (sqrt 2.0) (+ (hypot re im) re)) (+ (log (sqrt 2.0)) (log (+ (hypot re im) re))) (log (* (sqrt 2.0) (+ (hypot re im) re))) (exp (* (sqrt 2.0) (+ (hypot re im) re))) (* (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* (+ (hypot re im) re) (+ (hypot re im) re)) (+ (hypot re im) re))) (* (cbrt (* (sqrt 2.0) (+ (hypot re im) re))) (cbrt (* (sqrt 2.0) (+ (hypot re im) re)))) (cbrt (* (sqrt 2.0) (+ (hypot re im) re))) (* (* (* (sqrt 2.0) (+ (hypot re im) re)) (* (sqrt 2.0) (+ (hypot re im) re))) (* (sqrt 2.0) (+ (hypot re im) re))) (sqrt (* (sqrt 2.0) (+ (hypot re im) re))) (sqrt (* (sqrt 2.0) (+ (hypot re im) re))) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))) (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) re) (* (sqrt 2.0) re) (* (sqrt 2.0) (hypot re im)) (* (hypot re im) (sqrt 2.0)) (* re (sqrt 2.0)) (* re (sqrt 2.0)) (* (hypot re im) (sqrt 2.0)) (* (sqrt 2.0) (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re)))) (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) (* (sqrt 2.0) 1) (* (sqrt 2.0) 1) (* (cbrt (sqrt 2.0)) (+ (hypot re im) re)) (* (sqrt (cbrt 2.0)) (+ (hypot re im) re)) (* (sqrt (sqrt 2.0)) (+ (hypot re im) re)) (* (sqrt 2.0) (+ (hypot re im) re)) (* (sqrt (sqrt 2.0)) (+ (hypot re im) re)) (* (sqrt 2.0) (+ (hypot re im) re)) (* (sqrt 2.0) (+ (pow (hypot re im) 3) (pow re 3))) (* (sqrt 2.0) (- (* (hypot re im) (hypot re im)) (* re re))) (expm1 (* (sqrt (sqrt 2.0)) (sqrt (* (sqrt 2.0) (+ (hypot re im) re))))) (log1p (* (sqrt (sqrt 2.0)) (sqrt (* (sqrt 2.0) (+ (hypot re im) re))))) (* (sqrt 2.0) (* (sqrt 2.0) (+ (hypot re im) re))) (* (sqrt (sqrt 2.0)) (sqrt (* (sqrt 2.0) (+ (hypot re im) re)))) (* (sqrt 2.0) (* (sqrt 2.0) (+ (hypot re im) re))) (* (sqrt 2.0) (* (sqrt 2.0) (+ (hypot re im) re))) (+ (log (sqrt (sqrt 2.0))) (log (sqrt (* (sqrt 2.0) (+ (hypot re im) re))))) (log (* (sqrt (sqrt 2.0)) (sqrt (* (sqrt 2.0) (+ (hypot re im) re))))) (exp (* (sqrt (sqrt 2.0)) (sqrt (* (sqrt 2.0) (+ (hypot re im) re))))) (* (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (* (sqrt (* (sqrt 2.0) (+ (hypot re im) re))) (sqrt (* (sqrt 2.0) (+ (hypot re im) re)))) (sqrt (* (sqrt 2.0) (+ (hypot re im) re))))) (* (cbrt (* (sqrt (sqrt 2.0)) (sqrt (* (sqrt 2.0) (+ (hypot re im) re))))) (cbrt (* (sqrt (sqrt 2.0)) (sqrt (* (sqrt 2.0) (+ (hypot re im) re)))))) (cbrt (* (sqrt (sqrt 2.0)) (sqrt (* (sqrt 2.0) (+ (hypot re im) re))))) (* (* (* (sqrt (sqrt 2.0)) (sqrt (* (sqrt 2.0) (+ (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (* (sqrt 2.0) (+ (hypot re im) re))))) (* (sqrt (sqrt 2.0)) (sqrt (* (sqrt 2.0) (+ (hypot re im) re))))) (* (sqrt 2.0) (* (sqrt 2.0) (+ (hypot re im) re))) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (* (sqrt 2.0) (+ (hypot re im) re))))) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (* (sqrt 2.0) (+ (hypot re im) re))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (* (sqrt 2.0) (+ (hypot re im) re))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (* (sqrt 2.0) (+ (hypot re im) re))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (* (sqrt 2.0) (+ (hypot re im) re))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (* (sqrt 2.0) (+ (hypot re im) re))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (* (sqrt 2.0) (+ (hypot re im) re))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (* (sqrt 2.0) (+ (hypot re im) re))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (* (sqrt 2.0) (+ (hypot re im) re))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (* (sqrt 2.0) (+ (hypot re im) re))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (* (sqrt 2.0) (+ (hypot re im) re))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (* (sqrt 2.0) (+ (hypot re im) re))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (* (sqrt 2.0) (+ (hypot re im) re))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (* (sqrt 2.0) (+ (hypot re im) re))))) (* (sqrt (sqrt 2.0)) (* (cbrt (sqrt (* (sqrt 2.0) (+ (hypot re im) re)))) (cbrt (sqrt (* (sqrt 2.0) (+ (hypot re im) re)))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (* (cbrt (* (sqrt 2.0) (+ (hypot re im) re))) (cbrt (* (sqrt 2.0) (+ (hypot re im) re)))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (* (sqrt 2.0) (+ (hypot re im) re))))) (* (sqrt (sqrt 2.0)) (sqrt 1)) (* (sqrt (sqrt 2.0)) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))))) (* (sqrt (sqrt 2.0)) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))))) (* (sqrt (sqrt 2.0)) (sqrt (* (sqrt 2.0) (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re)))))) (* (sqrt (sqrt 2.0)) (sqrt (* (sqrt 2.0) (sqrt (+ (hypot re im) re))))) (* (sqrt (sqrt 2.0)) (sqrt (* (sqrt 2.0) 1))) (* (sqrt (sqrt 2.0)) (sqrt (* (sqrt 2.0) 1))) (* (sqrt (sqrt 2.0)) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt 1))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt 2.0)) (sqrt 1)) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (* (sqrt 2.0) (+ (hypot re im) re))))) (* (sqrt (sqrt 2.0)) 1) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (* (sqrt 2.0) (+ (hypot re im) re)))) (* (sqrt (cbrt (sqrt 2.0))) (sqrt (* (sqrt 2.0) (+ (hypot re im) re)))) (* (sqrt (sqrt (cbrt 2.0))) (sqrt (* (sqrt 2.0) (+ (hypot re im) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (* (sqrt 2.0) (+ (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (* (sqrt 2.0) (+ (hypot re im) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (* (sqrt 2.0) (+ (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (* (sqrt 2.0) (+ (hypot re im) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (* (sqrt 2.0) (+ (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (* (sqrt 2.0) (+ (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (* (sqrt 2.0) (+ (pow (hypot re im) 3) (pow re 3))))) (* (sqrt (sqrt 2.0)) (sqrt (* (sqrt 2.0) (- (* (hypot re im) (hypot re im)) (* re re))))) (expm1 (sqrt (* (sqrt 2.0) (+ (hypot re im) re)))) (log1p (sqrt (* (sqrt 2.0) (+ (hypot re im) re)))) (log (sqrt (* (sqrt 2.0) (+ (hypot re im) re)))) (exp (sqrt (* (sqrt 2.0) (+ (hypot re im) re)))) (* (cbrt (sqrt (* (sqrt 2.0) (+ (hypot re im) re)))) (cbrt (sqrt (* (sqrt 2.0) (+ (hypot re im) re))))) (cbrt (sqrt (* (sqrt 2.0) (+ (hypot re im) re)))) (* (* (sqrt (* (sqrt 2.0) (+ (hypot re im) re))) (sqrt (* (sqrt 2.0) (+ (hypot re im) re)))) (sqrt (* (sqrt 2.0) (+ (hypot re im) re)))) (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re)) (sqrt (* (cbrt (* (sqrt 2.0) (+ (hypot re im) re))) (cbrt (* (sqrt 2.0) (+ (hypot re im) re))))) (sqrt (cbrt (* (sqrt 2.0) (+ (hypot re im) re)))) (sqrt (sqrt (* (sqrt 2.0) (+ (hypot re im) re)))) (sqrt (sqrt (* (sqrt 2.0) (+ (hypot re im) re)))) (sqrt 1) (sqrt (* (sqrt 2.0) (+ (hypot re im) re))) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re)))) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re)))) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re)))) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re)))) (sqrt (* (sqrt 2.0) (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))))) (sqrt (cbrt (+ (hypot re im) re))) (sqrt (* (sqrt 2.0) (sqrt (+ (hypot re im) re)))) (sqrt (sqrt (+ (hypot re im) re))) (sqrt (* (sqrt 2.0) 1)) (sqrt (+ (hypot re im) re)) (sqrt (* (sqrt 2.0) 1)) (sqrt (+ (hypot re im) re)) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (sqrt (* (cbrt (sqrt 2.0)) (+ (hypot re im) re))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (sqrt (* (sqrt (cbrt 2.0)) (+ (hypot re im) re))) (sqrt (sqrt (sqrt 2.0))) (sqrt (* (sqrt (sqrt 2.0)) (+ (hypot re im) re))) (sqrt (sqrt 1)) (sqrt (* (sqrt 2.0) (+ (hypot re im) re))) (sqrt (sqrt (sqrt 2.0))) (sqrt (* (sqrt (sqrt 2.0)) (+ (hypot re im) re))) (sqrt 1) (sqrt (* (sqrt 2.0) (+ (hypot re im) re))) (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0)) (sqrt (* (sqrt 2.0) (+ (pow (hypot re im) 3) (pow re 3)))) (sqrt (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re)))) (sqrt (* (sqrt 2.0) (- (* (hypot re im) (hypot re im)) (* re re)))) (sqrt (- (hypot re im) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* (sqrt 2.0) (+ (hypot re im) re)))) (sqrt (sqrt (* (sqrt 2.0) (+ (hypot re im) re)))) (+ re im) (* 2 re) 0 (+ (* (sqrt 2.0) im) (* (sqrt 2.0) re)) (* 2 (* (sqrt 2.0) re)) 0 (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0 (- (+ (* +nan.0 (* (pow (sqrt 2.0) 2) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow re 2))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) re)) (- (* +nan.0 (sqrt 2.0))))))) 0 1.978 * * [simplify]: iteration 0 : 408 enodes (cost 1178 ) 1.986 * * [simplify]: iteration 1 : 1731 enodes (cost 1125 ) 2.020 * * [simplify]: iteration 2 : 5001 enodes (cost 1105 ) 2.027 * [simplify]: Simplified to: (expm1 (+ (hypot re im) re)) (log1p (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (log (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))) (cbrt (+ (hypot re im) re)) (pow (+ (hypot re im) re) 3) (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (+ (pow (hypot re im) 3) (pow re 3)) (fma re (- re (hypot re im)) (* (hypot re im) (hypot re im))) (- (* (hypot re im) (hypot re im)) (* re re)) (- (hypot re im) re) (+ (hypot re im) re) (expm1 (* (sqrt 2.0) (+ (hypot re im) re))) (log1p (* (sqrt 2.0) (+ (hypot re im) re))) (* (sqrt 2.0) (+ (hypot re im) re)) (log (* (sqrt 2.0) (+ (hypot re im) re))) (log (* (sqrt 2.0) (+ (hypot re im) re))) (exp (* (sqrt 2.0) (+ (hypot re im) re))) (pow (* (sqrt 2.0) (+ (hypot re im) re)) 3) (* (cbrt (* (sqrt 2.0) (+ (hypot re im) re))) (cbrt (* (sqrt 2.0) (+ (hypot re im) re)))) (cbrt (* (sqrt 2.0) (+ (hypot re im) re))) (pow (* (sqrt 2.0) (+ (hypot re im) re)) 3) (sqrt (* (sqrt 2.0) (+ (hypot re im) re))) (sqrt (* (sqrt 2.0) (+ (hypot re im) re))) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))) (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) re) (* (sqrt 2.0) re) (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) re) (* (sqrt 2.0) re) (* (sqrt 2.0) (hypot re im)) (* (sqrt 2.0) (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re)))) (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) (sqrt 2.0) (sqrt 2.0) (* (cbrt (sqrt 2.0)) (+ (hypot re im) re)) (* (sqrt (cbrt 2.0)) (+ (hypot re im) re)) (* (sqrt (sqrt 2.0)) (+ (hypot re im) re)) (* (sqrt 2.0) (+ (hypot re im) re)) (* (sqrt (sqrt 2.0)) (+ (hypot re im) re)) (* (sqrt 2.0) (+ (hypot re im) re)) (* (sqrt 2.0) (+ (pow (hypot re im) 3) (pow re 3))) (* (sqrt 2.0) (- (* (hypot re im) (hypot re im)) (* re re))) (expm1 (* (sqrt (sqrt 2.0)) (sqrt (* (sqrt 2.0) (+ (hypot re im) re))))) (log1p (* (sqrt (sqrt 2.0)) (sqrt (* (sqrt 2.0) (+ (hypot re im) re))))) (* 2.0 (+ (hypot re im) re)) (* (sqrt (sqrt 2.0)) (sqrt (* (sqrt 2.0) (+ (hypot re im) re)))) (* 2.0 (+ (hypot re im) re)) (* 2.0 (+ (hypot re im) re)) (log (* (sqrt (sqrt 2.0)) (sqrt (* (sqrt 2.0) (+ (hypot re im) re))))) (log (* (sqrt (sqrt 2.0)) (sqrt (* (sqrt 2.0) (+ (hypot re im) re))))) (exp (* (sqrt (sqrt 2.0)) (sqrt (* (sqrt 2.0) (+ (hypot re im) re))))) (pow (* (sqrt (sqrt 2.0)) (sqrt (* (sqrt 2.0) (+ (hypot re im) re)))) 3) (* (cbrt (* (sqrt (sqrt 2.0)) (sqrt (* (sqrt 2.0) (+ (hypot re im) re))))) (cbrt (* (sqrt (sqrt 2.0)) (sqrt (* (sqrt 2.0) (+ (hypot re im) re)))))) (cbrt (* (sqrt (sqrt 2.0)) (sqrt (* (sqrt 2.0) (+ (hypot re im) re))))) (pow (* (sqrt (sqrt 2.0)) (sqrt (* (sqrt 2.0) (+ (hypot re im) re)))) 3) (* 2.0 (+ (hypot re im) re)) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (* (sqrt 2.0) (+ (hypot re im) re))))) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (* (sqrt 2.0) (+ (hypot re im) re))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (* (sqrt 2.0) (+ (hypot re im) re))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (* (sqrt 2.0) (+ (hypot re im) re))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (* (sqrt 2.0) (+ (hypot re im) re))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (* (sqrt 2.0) (+ (hypot re im) re))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (* (sqrt 2.0) (+ (hypot re im) re))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (* (sqrt 2.0) (+ (hypot re im) re))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (* (sqrt 2.0) (+ (hypot re im) re))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (* (sqrt 2.0) (+ (hypot re im) re))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (* (sqrt 2.0) (+ (hypot re im) re))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (* (sqrt 2.0) (+ (hypot re im) re))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (* (sqrt 2.0) (+ (hypot re im) re))))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (* (sqrt 2.0) (+ (hypot re im) re))))) (* (sqrt (sqrt 2.0)) (* (cbrt (sqrt (* (sqrt 2.0) (+ (hypot re im) re)))) (cbrt (sqrt (* (sqrt 2.0) (+ (hypot re im) re)))))) (sqrt 2.0) (* (fabs (cbrt (* (sqrt 2.0) (+ (hypot re im) re)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (* (sqrt 2.0) (+ (hypot re im) re))))) (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))))) (* (sqrt (sqrt 2.0)) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))))) (* (sqrt (sqrt 2.0)) (sqrt (* (sqrt 2.0) (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re)))))) (* (sqrt (sqrt 2.0)) (sqrt (* (sqrt 2.0) (sqrt (+ (hypot re im) re))))) (sqrt 2.0) (sqrt 2.0) (* (fabs (cbrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (* (sqrt 2.0) (+ (hypot re im) re))))) (sqrt (sqrt 2.0)) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (* (sqrt 2.0) (+ (hypot re im) re)))) (* (sqrt (cbrt (sqrt 2.0))) (sqrt (* (sqrt 2.0) (+ (hypot re im) re)))) (* (sqrt (sqrt (cbrt 2.0))) (sqrt (* (sqrt 2.0) (+ (hypot re im) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (* (sqrt 2.0) (+ (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (* (sqrt 2.0) (+ (hypot re im) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (* (sqrt 2.0) (+ (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (* (sqrt 2.0) (+ (hypot re im) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (* (sqrt 2.0) (+ (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (* (sqrt 2.0) (+ (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (* (sqrt 2.0) (+ (pow (hypot re im) 3) (pow re 3))))) (* (sqrt (sqrt 2.0)) (sqrt (* (sqrt 2.0) (- (* (hypot re im) (hypot re im)) (* re re))))) (expm1 (sqrt (* (sqrt 2.0) (+ (hypot re im) re)))) (log1p (sqrt (* (sqrt 2.0) (+ (hypot re im) re)))) (log (sqrt (* (sqrt 2.0) (+ (hypot re im) re)))) (exp (sqrt (* (sqrt 2.0) (+ (hypot re im) re)))) (* (cbrt (sqrt (* (sqrt 2.0) (+ (hypot re im) re)))) (cbrt (sqrt (* (sqrt 2.0) (+ (hypot re im) re))))) (cbrt (sqrt (* (sqrt 2.0) (+ (hypot re im) re)))) (pow (sqrt (* (sqrt 2.0) (+ (hypot re im) re))) 3) (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re)) (fabs (cbrt (* (sqrt 2.0) (+ (hypot re im) re)))) (sqrt (cbrt (* (sqrt 2.0) (+ (hypot re im) re)))) (sqrt (sqrt (* (sqrt 2.0) (+ (hypot re im) re)))) (sqrt (sqrt (* (sqrt 2.0) (+ (hypot re im) re)))) 1 (sqrt (* (sqrt 2.0) (+ (hypot re im) re))) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re)))) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re)))) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re)))) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re)))) (fabs (* (sqrt (sqrt 2.0)) (cbrt (+ (hypot re im) re)))) (sqrt (cbrt (+ (hypot re im) re))) (sqrt (* (sqrt 2.0) (sqrt (+ (hypot re im) re)))) (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0)) (sqrt (+ (hypot re im) re)) (fabs (cbrt (sqrt 2.0))) (sqrt (* (cbrt (sqrt 2.0)) (+ (hypot re im) re))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (sqrt (* (sqrt (cbrt 2.0)) (+ (hypot re im) re))) (sqrt (sqrt (sqrt 2.0))) (sqrt (* (sqrt (sqrt 2.0)) (+ (hypot re im) re))) 1 (sqrt (* (sqrt 2.0) (+ (hypot re im) re))) (sqrt (sqrt (sqrt 2.0))) (sqrt (* (sqrt (sqrt 2.0)) (+ (hypot re im) re))) 1 (sqrt (* (sqrt 2.0) (+ (hypot re im) re))) (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0)) (sqrt (* (sqrt 2.0) (+ (pow (hypot re im) 3) (pow re 3)))) (sqrt (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re)))) (sqrt (* (sqrt 2.0) (- (* (hypot re im) (hypot re im)) (* re re)))) (sqrt (- (hypot re im) re)) 1/2 1/2 (sqrt (sqrt (* (sqrt 2.0) (+ (hypot re im) re)))) (sqrt (sqrt (* (sqrt 2.0) (+ (hypot re im) re)))) (+ re im) (* 2 re) 0 (* (sqrt 2.0) (+ im re)) (* 2 (* (sqrt 2.0) re)) 0 (* (* +nan.0 (sqrt 2.0)) (+ (- (* re re)) (- im re))) (fma (- +nan.0) (sqrt 2.0) (* +nan.0 (- (/ (sqrt 2.0) (pow re 2)) (/ (sqrt 2.0) re)))) 0 (fma (- (* +nan.0 2.0)) (pow re 2) (* (* +nan.0 (sqrt 2.0)) (- im re))) (fma (- +nan.0) (/ (pow (sqrt 2.0) 3) (pow re 2)) (- (/ (* +nan.0 2.0) re) (* +nan.0 (sqrt 2.0)))) 0 2.028 * * * [progress]: adding candidates to table 2.309 * * [progress]: iteration 4 / 4 2.309 * * * [progress]: picking best candidate 2.325 * * * * [pick]: Picked # 2.325 * * * [progress]: localizing error 2.336 * * * [progress]: generating rewritten candidates 2.336 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2) 2.368 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 2) 2.369 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 2) 2.370 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1 1) 2.376 * * * [progress]: generating series expansions 2.376 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2) 2.376 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 2.376 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 2.376 * [taylor]: Taking taylor expansion of re in im 2.376 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.376 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.376 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.376 * [taylor]: Taking taylor expansion of (* re re) in im 2.376 * [taylor]: Taking taylor expansion of re in im 2.376 * [taylor]: Taking taylor expansion of re in im 2.376 * [taylor]: Taking taylor expansion of (* im im) in im 2.376 * [taylor]: Taking taylor expansion of im in im 2.376 * [taylor]: Taking taylor expansion of im in im 2.378 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.378 * [taylor]: Taking taylor expansion of re in re 2.378 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.378 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.378 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.378 * [taylor]: Taking taylor expansion of (* re re) in re 2.378 * [taylor]: Taking taylor expansion of re in re 2.378 * [taylor]: Taking taylor expansion of re in re 2.378 * [taylor]: Taking taylor expansion of (* im im) in re 2.378 * [taylor]: Taking taylor expansion of im in re 2.378 * [taylor]: Taking taylor expansion of im in re 2.379 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.379 * [taylor]: Taking taylor expansion of re in re 2.379 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.379 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.379 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.379 * [taylor]: Taking taylor expansion of (* re re) in re 2.379 * [taylor]: Taking taylor expansion of re in re 2.379 * [taylor]: Taking taylor expansion of re in re 2.380 * [taylor]: Taking taylor expansion of (* im im) in re 2.380 * [taylor]: Taking taylor expansion of im in re 2.380 * [taylor]: Taking taylor expansion of im in re 2.381 * [taylor]: Taking taylor expansion of im in im 2.381 * [taylor]: Taking taylor expansion of 1 in im 2.383 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.383 * [taylor]: Taking taylor expansion of 1/2 in im 2.383 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.383 * [taylor]: Taking taylor expansion of im in im 2.386 * [taylor]: Taking taylor expansion of 0 in im 2.387 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 2.387 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 2.387 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.387 * [taylor]: Taking taylor expansion of re in im 2.387 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.387 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.387 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.387 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.388 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.388 * [taylor]: Taking taylor expansion of re in im 2.388 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.388 * [taylor]: Taking taylor expansion of re in im 2.388 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.388 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.388 * [taylor]: Taking taylor expansion of im in im 2.388 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.388 * [taylor]: Taking taylor expansion of im in im 2.391 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.391 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.391 * [taylor]: Taking taylor expansion of re in re 2.391 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.391 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.391 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.391 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.391 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.391 * [taylor]: Taking taylor expansion of re in re 2.392 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.392 * [taylor]: Taking taylor expansion of re in re 2.392 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.392 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.392 * [taylor]: Taking taylor expansion of im in re 2.392 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.392 * [taylor]: Taking taylor expansion of im in re 2.395 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.395 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.395 * [taylor]: Taking taylor expansion of re in re 2.395 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.395 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.395 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.395 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.395 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.395 * [taylor]: Taking taylor expansion of re in re 2.395 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.396 * [taylor]: Taking taylor expansion of re in re 2.396 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.396 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.396 * [taylor]: Taking taylor expansion of im in re 2.396 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.396 * [taylor]: Taking taylor expansion of im in re 2.399 * [taylor]: Taking taylor expansion of 2 in im 2.400 * [taylor]: Taking taylor expansion of 0 in im 2.403 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.403 * [taylor]: Taking taylor expansion of 1/2 in im 2.403 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.403 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.403 * [taylor]: Taking taylor expansion of im in im 2.408 * [taylor]: Taking taylor expansion of 0 in im 2.409 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 2.409 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 2.410 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.410 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.410 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.410 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.410 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.410 * [taylor]: Taking taylor expansion of -1 in im 2.410 * [taylor]: Taking taylor expansion of re in im 2.410 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.410 * [taylor]: Taking taylor expansion of -1 in im 2.410 * [taylor]: Taking taylor expansion of re in im 2.410 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.410 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.410 * [taylor]: Taking taylor expansion of -1 in im 2.410 * [taylor]: Taking taylor expansion of im in im 2.410 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.410 * [taylor]: Taking taylor expansion of -1 in im 2.410 * [taylor]: Taking taylor expansion of im in im 2.413 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.413 * [taylor]: Taking taylor expansion of re in im 2.413 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.413 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.413 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.413 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.413 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.413 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.414 * [taylor]: Taking taylor expansion of -1 in re 2.414 * [taylor]: Taking taylor expansion of re in re 2.414 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.414 * [taylor]: Taking taylor expansion of -1 in re 2.414 * [taylor]: Taking taylor expansion of re in re 2.414 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.414 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.414 * [taylor]: Taking taylor expansion of -1 in re 2.414 * [taylor]: Taking taylor expansion of im in re 2.414 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.414 * [taylor]: Taking taylor expansion of -1 in re 2.414 * [taylor]: Taking taylor expansion of im in re 2.417 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.417 * [taylor]: Taking taylor expansion of re in re 2.417 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.417 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.417 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.417 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.418 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.418 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.418 * [taylor]: Taking taylor expansion of -1 in re 2.418 * [taylor]: Taking taylor expansion of re in re 2.418 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.418 * [taylor]: Taking taylor expansion of -1 in re 2.418 * [taylor]: Taking taylor expansion of re in re 2.418 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.418 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.418 * [taylor]: Taking taylor expansion of -1 in re 2.418 * [taylor]: Taking taylor expansion of im in re 2.418 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.418 * [taylor]: Taking taylor expansion of -1 in re 2.418 * [taylor]: Taking taylor expansion of im in re 2.421 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.421 * [taylor]: Taking taylor expansion of re in re 2.422 * [taylor]: Taking taylor expansion of 0 in im 2.426 * [taylor]: Taking taylor expansion of 0 in im 2.430 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.430 * [taylor]: Taking taylor expansion of 1/2 in im 2.430 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.430 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.430 * [taylor]: Taking taylor expansion of im in im 2.436 * [taylor]: Taking taylor expansion of 0 in im 2.437 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 2) 2.437 * [approximate]: Taking taylor expansion of (pow (hypot re im) 1/3) in (re im) around 0 2.437 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in im 2.437 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in im 2.437 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in im 2.437 * [taylor]: Taking taylor expansion of 1/3 in im 2.437 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im 2.437 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.438 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.438 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.438 * [taylor]: Taking taylor expansion of (* re re) in im 2.438 * [taylor]: Taking taylor expansion of re in im 2.438 * [taylor]: Taking taylor expansion of re in im 2.438 * [taylor]: Taking taylor expansion of (* im im) in im 2.438 * [taylor]: Taking taylor expansion of im in im 2.438 * [taylor]: Taking taylor expansion of im in im 2.439 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 2.439 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 2.439 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 2.439 * [taylor]: Taking taylor expansion of 1/3 in re 2.439 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 2.439 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.439 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.439 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.439 * [taylor]: Taking taylor expansion of (* re re) in re 2.439 * [taylor]: Taking taylor expansion of re in re 2.439 * [taylor]: Taking taylor expansion of re in re 2.439 * [taylor]: Taking taylor expansion of (* im im) in re 2.439 * [taylor]: Taking taylor expansion of im in re 2.439 * [taylor]: Taking taylor expansion of im in re 2.440 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 2.440 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 2.440 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 2.440 * [taylor]: Taking taylor expansion of 1/3 in re 2.440 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 2.440 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.441 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.441 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.441 * [taylor]: Taking taylor expansion of (* re re) in re 2.441 * [taylor]: Taking taylor expansion of re in re 2.441 * [taylor]: Taking taylor expansion of re in re 2.441 * [taylor]: Taking taylor expansion of (* im im) in re 2.441 * [taylor]: Taking taylor expansion of im in re 2.441 * [taylor]: Taking taylor expansion of im in re 2.442 * [taylor]: Taking taylor expansion of (pow im 1/3) in im 2.442 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log im))) in im 2.442 * [taylor]: Taking taylor expansion of (* 1/3 (log im)) in im 2.442 * [taylor]: Taking taylor expansion of 1/3 in im 2.442 * [taylor]: Taking taylor expansion of (log im) in im 2.442 * [taylor]: Taking taylor expansion of im in im 2.444 * [taylor]: Taking taylor expansion of 0 in im 2.449 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) in im 2.449 * [taylor]: Taking taylor expansion of 1/6 in im 2.449 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im 2.449 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im 2.449 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im 2.449 * [taylor]: Taking taylor expansion of 1/3 in im 2.449 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 2.449 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 2.449 * [taylor]: Taking taylor expansion of (pow im 5) in im 2.449 * [taylor]: Taking taylor expansion of im in im 2.459 * [taylor]: Taking taylor expansion of 0 in im 2.468 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in (re im) around 0 2.468 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in im 2.468 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in im 2.468 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in im 2.468 * [taylor]: Taking taylor expansion of 1/3 in im 2.468 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im 2.468 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.468 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.468 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.468 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.468 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.468 * [taylor]: Taking taylor expansion of re in im 2.468 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.468 * [taylor]: Taking taylor expansion of re in im 2.468 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.468 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.468 * [taylor]: Taking taylor expansion of im in im 2.468 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.468 * [taylor]: Taking taylor expansion of im in im 2.472 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 2.472 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 2.472 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 2.472 * [taylor]: Taking taylor expansion of 1/3 in re 2.472 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 2.472 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.472 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.472 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.472 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.472 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.472 * [taylor]: Taking taylor expansion of re in re 2.472 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.472 * [taylor]: Taking taylor expansion of re in re 2.473 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.473 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.473 * [taylor]: Taking taylor expansion of im in re 2.473 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.473 * [taylor]: Taking taylor expansion of im in re 2.476 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 2.476 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 2.476 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 2.476 * [taylor]: Taking taylor expansion of 1/3 in re 2.476 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 2.476 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.476 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.476 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.476 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.476 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.476 * [taylor]: Taking taylor expansion of re in re 2.477 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.477 * [taylor]: Taking taylor expansion of re in re 2.477 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.477 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.477 * [taylor]: Taking taylor expansion of im in re 2.477 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.477 * [taylor]: Taking taylor expansion of im in re 2.480 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 2.480 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 2.480 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 2.480 * [taylor]: Taking taylor expansion of -1/3 in im 2.480 * [taylor]: Taking taylor expansion of (log re) in im 2.480 * [taylor]: Taking taylor expansion of re in im 2.482 * [taylor]: Taking taylor expansion of 0 in im 2.489 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 2.489 * [taylor]: Taking taylor expansion of 1/6 in im 2.489 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 2.489 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 2.489 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 2.489 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 2.489 * [taylor]: Taking taylor expansion of 1/3 in im 2.489 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 2.489 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.489 * [taylor]: Taking taylor expansion of re in im 2.489 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.489 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.489 * [taylor]: Taking taylor expansion of im in im 2.509 * [taylor]: Taking taylor expansion of 0 in im 2.509 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in (re im) around 0 2.509 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in im 2.509 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in im 2.509 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in im 2.509 * [taylor]: Taking taylor expansion of 1/3 in im 2.509 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im 2.509 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.509 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.509 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.509 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.509 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.509 * [taylor]: Taking taylor expansion of -1 in im 2.509 * [taylor]: Taking taylor expansion of re in im 2.510 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.510 * [taylor]: Taking taylor expansion of -1 in im 2.510 * [taylor]: Taking taylor expansion of re in im 2.510 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.510 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.510 * [taylor]: Taking taylor expansion of -1 in im 2.510 * [taylor]: Taking taylor expansion of im in im 2.510 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.510 * [taylor]: Taking taylor expansion of -1 in im 2.510 * [taylor]: Taking taylor expansion of im in im 2.514 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 2.514 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 2.514 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 2.514 * [taylor]: Taking taylor expansion of 1/3 in re 2.514 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 2.514 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.514 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.514 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.514 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.514 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.514 * [taylor]: Taking taylor expansion of -1 in re 2.514 * [taylor]: Taking taylor expansion of re in re 2.514 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.514 * [taylor]: Taking taylor expansion of -1 in re 2.514 * [taylor]: Taking taylor expansion of re in re 2.514 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.515 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.515 * [taylor]: Taking taylor expansion of -1 in re 2.515 * [taylor]: Taking taylor expansion of im in re 2.515 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.515 * [taylor]: Taking taylor expansion of -1 in re 2.515 * [taylor]: Taking taylor expansion of im in re 2.518 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 2.518 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 2.518 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 2.518 * [taylor]: Taking taylor expansion of 1/3 in re 2.518 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 2.518 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.518 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.518 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.518 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.518 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.518 * [taylor]: Taking taylor expansion of -1 in re 2.518 * [taylor]: Taking taylor expansion of re in re 2.519 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.519 * [taylor]: Taking taylor expansion of -1 in re 2.519 * [taylor]: Taking taylor expansion of re in re 2.519 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.519 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.519 * [taylor]: Taking taylor expansion of -1 in re 2.519 * [taylor]: Taking taylor expansion of im in re 2.519 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.519 * [taylor]: Taking taylor expansion of -1 in re 2.519 * [taylor]: Taking taylor expansion of im in re 2.522 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 2.522 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 2.522 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 2.522 * [taylor]: Taking taylor expansion of -1/3 in im 2.523 * [taylor]: Taking taylor expansion of (log re) in im 2.523 * [taylor]: Taking taylor expansion of re in im 2.525 * [taylor]: Taking taylor expansion of 0 in im 2.531 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 2.531 * [taylor]: Taking taylor expansion of 1/6 in im 2.531 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 2.531 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 2.531 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 2.531 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 2.531 * [taylor]: Taking taylor expansion of 1/3 in im 2.531 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 2.531 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.531 * [taylor]: Taking taylor expansion of re in im 2.531 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.531 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.531 * [taylor]: Taking taylor expansion of im in im 2.548 * [taylor]: Taking taylor expansion of 0 in im 2.548 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 2) 2.548 * [approximate]: Taking taylor expansion of (pow (hypot re im) 1/3) in (re im) around 0 2.548 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in im 2.548 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in im 2.548 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in im 2.549 * [taylor]: Taking taylor expansion of 1/3 in im 2.549 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im 2.549 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.549 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.549 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.549 * [taylor]: Taking taylor expansion of (* re re) in im 2.549 * [taylor]: Taking taylor expansion of re in im 2.549 * [taylor]: Taking taylor expansion of re in im 2.549 * [taylor]: Taking taylor expansion of (* im im) in im 2.549 * [taylor]: Taking taylor expansion of im in im 2.549 * [taylor]: Taking taylor expansion of im in im 2.550 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 2.550 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 2.550 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 2.550 * [taylor]: Taking taylor expansion of 1/3 in re 2.550 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 2.550 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.550 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.550 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.550 * [taylor]: Taking taylor expansion of (* re re) in re 2.550 * [taylor]: Taking taylor expansion of re in re 2.550 * [taylor]: Taking taylor expansion of re in re 2.550 * [taylor]: Taking taylor expansion of (* im im) in re 2.550 * [taylor]: Taking taylor expansion of im in re 2.550 * [taylor]: Taking taylor expansion of im in re 2.551 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 2.551 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 2.552 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 2.552 * [taylor]: Taking taylor expansion of 1/3 in re 2.552 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 2.552 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.552 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.552 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.552 * [taylor]: Taking taylor expansion of (* re re) in re 2.552 * [taylor]: Taking taylor expansion of re in re 2.552 * [taylor]: Taking taylor expansion of re in re 2.552 * [taylor]: Taking taylor expansion of (* im im) in re 2.552 * [taylor]: Taking taylor expansion of im in re 2.552 * [taylor]: Taking taylor expansion of im in re 2.553 * [taylor]: Taking taylor expansion of (pow im 1/3) in im 2.553 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log im))) in im 2.553 * [taylor]: Taking taylor expansion of (* 1/3 (log im)) in im 2.553 * [taylor]: Taking taylor expansion of 1/3 in im 2.553 * [taylor]: Taking taylor expansion of (log im) in im 2.553 * [taylor]: Taking taylor expansion of im in im 2.555 * [taylor]: Taking taylor expansion of 0 in im 2.560 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) in im 2.560 * [taylor]: Taking taylor expansion of 1/6 in im 2.560 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im 2.560 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im 2.560 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im 2.560 * [taylor]: Taking taylor expansion of 1/3 in im 2.560 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 2.560 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 2.560 * [taylor]: Taking taylor expansion of (pow im 5) in im 2.560 * [taylor]: Taking taylor expansion of im in im 2.570 * [taylor]: Taking taylor expansion of 0 in im 2.578 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in (re im) around 0 2.578 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in im 2.578 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in im 2.578 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in im 2.578 * [taylor]: Taking taylor expansion of 1/3 in im 2.578 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im 2.578 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.579 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.579 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.579 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.579 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.579 * [taylor]: Taking taylor expansion of re in im 2.579 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.579 * [taylor]: Taking taylor expansion of re in im 2.579 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.579 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.579 * [taylor]: Taking taylor expansion of im in im 2.579 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.579 * [taylor]: Taking taylor expansion of im in im 2.582 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 2.583 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 2.583 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 2.583 * [taylor]: Taking taylor expansion of 1/3 in re 2.583 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 2.583 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.583 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.583 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.583 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.583 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.583 * [taylor]: Taking taylor expansion of re in re 2.583 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.583 * [taylor]: Taking taylor expansion of re in re 2.584 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.584 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.584 * [taylor]: Taking taylor expansion of im in re 2.584 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.584 * [taylor]: Taking taylor expansion of im in re 2.590 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 2.590 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 2.590 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 2.590 * [taylor]: Taking taylor expansion of 1/3 in re 2.590 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 2.590 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.590 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.590 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.590 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.590 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.590 * [taylor]: Taking taylor expansion of re in re 2.591 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.591 * [taylor]: Taking taylor expansion of re in re 2.591 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.591 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.591 * [taylor]: Taking taylor expansion of im in re 2.591 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.591 * [taylor]: Taking taylor expansion of im in re 2.594 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 2.594 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 2.594 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 2.594 * [taylor]: Taking taylor expansion of -1/3 in im 2.594 * [taylor]: Taking taylor expansion of (log re) in im 2.594 * [taylor]: Taking taylor expansion of re in im 2.596 * [taylor]: Taking taylor expansion of 0 in im 2.603 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 2.603 * [taylor]: Taking taylor expansion of 1/6 in im 2.603 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 2.603 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 2.603 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 2.603 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 2.603 * [taylor]: Taking taylor expansion of 1/3 in im 2.603 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 2.603 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.603 * [taylor]: Taking taylor expansion of re in im 2.603 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.603 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.603 * [taylor]: Taking taylor expansion of im in im 2.619 * [taylor]: Taking taylor expansion of 0 in im 2.620 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in (re im) around 0 2.620 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in im 2.620 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in im 2.620 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in im 2.620 * [taylor]: Taking taylor expansion of 1/3 in im 2.620 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im 2.620 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.620 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.620 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.620 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.620 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.620 * [taylor]: Taking taylor expansion of -1 in im 2.620 * [taylor]: Taking taylor expansion of re in im 2.620 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.620 * [taylor]: Taking taylor expansion of -1 in im 2.620 * [taylor]: Taking taylor expansion of re in im 2.620 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.620 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.620 * [taylor]: Taking taylor expansion of -1 in im 2.620 * [taylor]: Taking taylor expansion of im in im 2.620 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.620 * [taylor]: Taking taylor expansion of -1 in im 2.620 * [taylor]: Taking taylor expansion of im in im 2.624 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 2.624 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 2.624 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 2.624 * [taylor]: Taking taylor expansion of 1/3 in re 2.624 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 2.624 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.624 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.624 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.624 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.624 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.624 * [taylor]: Taking taylor expansion of -1 in re 2.624 * [taylor]: Taking taylor expansion of re in re 2.625 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.625 * [taylor]: Taking taylor expansion of -1 in re 2.625 * [taylor]: Taking taylor expansion of re in re 2.625 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.625 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.625 * [taylor]: Taking taylor expansion of -1 in re 2.625 * [taylor]: Taking taylor expansion of im in re 2.625 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.625 * [taylor]: Taking taylor expansion of -1 in re 2.625 * [taylor]: Taking taylor expansion of im in re 2.628 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 2.628 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 2.628 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 2.628 * [taylor]: Taking taylor expansion of 1/3 in re 2.628 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 2.628 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.629 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.629 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.629 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.629 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.629 * [taylor]: Taking taylor expansion of -1 in re 2.629 * [taylor]: Taking taylor expansion of re in re 2.629 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.629 * [taylor]: Taking taylor expansion of -1 in re 2.629 * [taylor]: Taking taylor expansion of re in re 2.629 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.629 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.629 * [taylor]: Taking taylor expansion of -1 in re 2.629 * [taylor]: Taking taylor expansion of im in re 2.629 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.629 * [taylor]: Taking taylor expansion of -1 in re 2.629 * [taylor]: Taking taylor expansion of im in re 2.633 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 2.633 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 2.633 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 2.633 * [taylor]: Taking taylor expansion of -1/3 in im 2.633 * [taylor]: Taking taylor expansion of (log re) in im 2.633 * [taylor]: Taking taylor expansion of re in im 2.635 * [taylor]: Taking taylor expansion of 0 in im 2.641 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 2.641 * [taylor]: Taking taylor expansion of 1/6 in im 2.641 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 2.641 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 2.641 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 2.641 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 2.641 * [taylor]: Taking taylor expansion of 1/3 in im 2.641 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 2.641 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.642 * [taylor]: Taking taylor expansion of re in im 2.642 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.642 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.642 * [taylor]: Taking taylor expansion of im in im 2.660 * [taylor]: Taking taylor expansion of 0 in im 2.660 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1 1) 2.660 * [approximate]: Taking taylor expansion of (pow (hypot re im) 1/3) in (re im) around 0 2.660 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in im 2.660 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in im 2.660 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in im 2.660 * [taylor]: Taking taylor expansion of 1/3 in im 2.660 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im 2.660 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.660 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.660 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.660 * [taylor]: Taking taylor expansion of (* re re) in im 2.660 * [taylor]: Taking taylor expansion of re in im 2.660 * [taylor]: Taking taylor expansion of re in im 2.661 * [taylor]: Taking taylor expansion of (* im im) in im 2.661 * [taylor]: Taking taylor expansion of im in im 2.661 * [taylor]: Taking taylor expansion of im in im 2.662 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 2.662 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 2.662 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 2.662 * [taylor]: Taking taylor expansion of 1/3 in re 2.662 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 2.662 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.662 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.662 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.662 * [taylor]: Taking taylor expansion of (* re re) in re 2.662 * [taylor]: Taking taylor expansion of re in re 2.662 * [taylor]: Taking taylor expansion of re in re 2.662 * [taylor]: Taking taylor expansion of (* im im) in re 2.662 * [taylor]: Taking taylor expansion of im in re 2.662 * [taylor]: Taking taylor expansion of im in re 2.663 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 2.663 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 2.663 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 2.663 * [taylor]: Taking taylor expansion of 1/3 in re 2.663 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 2.663 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.663 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.663 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.664 * [taylor]: Taking taylor expansion of (* re re) in re 2.664 * [taylor]: Taking taylor expansion of re in re 2.664 * [taylor]: Taking taylor expansion of re in re 2.664 * [taylor]: Taking taylor expansion of (* im im) in re 2.664 * [taylor]: Taking taylor expansion of im in re 2.664 * [taylor]: Taking taylor expansion of im in re 2.665 * [taylor]: Taking taylor expansion of (pow im 1/3) in im 2.665 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log im))) in im 2.665 * [taylor]: Taking taylor expansion of (* 1/3 (log im)) in im 2.665 * [taylor]: Taking taylor expansion of 1/3 in im 2.665 * [taylor]: Taking taylor expansion of (log im) in im 2.665 * [taylor]: Taking taylor expansion of im in im 2.667 * [taylor]: Taking taylor expansion of 0 in im 2.675 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) in im 2.676 * [taylor]: Taking taylor expansion of 1/6 in im 2.676 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im 2.676 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im 2.676 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im 2.676 * [taylor]: Taking taylor expansion of 1/3 in im 2.676 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 2.676 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 2.676 * [taylor]: Taking taylor expansion of (pow im 5) in im 2.676 * [taylor]: Taking taylor expansion of im in im 2.686 * [taylor]: Taking taylor expansion of 0 in im 2.694 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in (re im) around 0 2.694 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in im 2.694 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in im 2.694 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in im 2.694 * [taylor]: Taking taylor expansion of 1/3 in im 2.694 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im 2.694 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.694 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.694 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.694 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.694 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.694 * [taylor]: Taking taylor expansion of re in im 2.695 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.695 * [taylor]: Taking taylor expansion of re in im 2.695 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.695 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.695 * [taylor]: Taking taylor expansion of im in im 2.695 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.695 * [taylor]: Taking taylor expansion of im in im 2.698 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 2.698 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 2.698 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 2.698 * [taylor]: Taking taylor expansion of 1/3 in re 2.698 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 2.698 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.699 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.699 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.699 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.699 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.699 * [taylor]: Taking taylor expansion of re in re 2.699 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.699 * [taylor]: Taking taylor expansion of re in re 2.699 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.699 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.699 * [taylor]: Taking taylor expansion of im in re 2.699 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.699 * [taylor]: Taking taylor expansion of im in re 2.703 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 2.703 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 2.703 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 2.703 * [taylor]: Taking taylor expansion of 1/3 in re 2.703 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 2.703 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.703 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.703 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.703 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.703 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.703 * [taylor]: Taking taylor expansion of re in re 2.703 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.703 * [taylor]: Taking taylor expansion of re in re 2.703 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.703 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.703 * [taylor]: Taking taylor expansion of im in re 2.704 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.704 * [taylor]: Taking taylor expansion of im in re 2.707 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 2.707 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 2.707 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 2.707 * [taylor]: Taking taylor expansion of -1/3 in im 2.707 * [taylor]: Taking taylor expansion of (log re) in im 2.707 * [taylor]: Taking taylor expansion of re in im 2.709 * [taylor]: Taking taylor expansion of 0 in im 2.715 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 2.715 * [taylor]: Taking taylor expansion of 1/6 in im 2.715 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 2.715 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 2.715 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 2.715 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 2.715 * [taylor]: Taking taylor expansion of 1/3 in im 2.715 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 2.715 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.715 * [taylor]: Taking taylor expansion of re in im 2.715 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.715 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.715 * [taylor]: Taking taylor expansion of im in im 2.732 * [taylor]: Taking taylor expansion of 0 in im 2.733 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in (re im) around 0 2.733 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in im 2.733 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in im 2.733 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in im 2.733 * [taylor]: Taking taylor expansion of 1/3 in im 2.733 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im 2.733 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.733 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.733 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.733 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.733 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.733 * [taylor]: Taking taylor expansion of -1 in im 2.733 * [taylor]: Taking taylor expansion of re in im 2.733 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.733 * [taylor]: Taking taylor expansion of -1 in im 2.733 * [taylor]: Taking taylor expansion of re in im 2.733 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.733 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.733 * [taylor]: Taking taylor expansion of -1 in im 2.733 * [taylor]: Taking taylor expansion of im in im 2.733 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.733 * [taylor]: Taking taylor expansion of -1 in im 2.733 * [taylor]: Taking taylor expansion of im in im 2.737 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 2.737 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 2.737 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 2.737 * [taylor]: Taking taylor expansion of 1/3 in re 2.738 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 2.738 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.738 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.738 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.738 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.738 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.738 * [taylor]: Taking taylor expansion of -1 in re 2.738 * [taylor]: Taking taylor expansion of re in re 2.738 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.738 * [taylor]: Taking taylor expansion of -1 in re 2.738 * [taylor]: Taking taylor expansion of re in re 2.738 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.738 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.738 * [taylor]: Taking taylor expansion of -1 in re 2.739 * [taylor]: Taking taylor expansion of im in re 2.739 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.739 * [taylor]: Taking taylor expansion of -1 in re 2.739 * [taylor]: Taking taylor expansion of im in re 2.742 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 2.742 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 2.742 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 2.742 * [taylor]: Taking taylor expansion of 1/3 in re 2.742 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 2.742 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.742 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.742 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.742 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.742 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.742 * [taylor]: Taking taylor expansion of -1 in re 2.743 * [taylor]: Taking taylor expansion of re in re 2.743 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.743 * [taylor]: Taking taylor expansion of -1 in re 2.743 * [taylor]: Taking taylor expansion of re in re 2.743 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.743 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.743 * [taylor]: Taking taylor expansion of -1 in re 2.743 * [taylor]: Taking taylor expansion of im in re 2.743 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.743 * [taylor]: Taking taylor expansion of -1 in re 2.743 * [taylor]: Taking taylor expansion of im in re 2.747 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 2.747 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 2.747 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 2.747 * [taylor]: Taking taylor expansion of -1/3 in im 2.747 * [taylor]: Taking taylor expansion of (log re) in im 2.747 * [taylor]: Taking taylor expansion of re in im 2.749 * [taylor]: Taking taylor expansion of 0 in im 2.759 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 2.759 * [taylor]: Taking taylor expansion of 1/6 in im 2.759 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 2.759 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 2.759 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 2.759 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 2.759 * [taylor]: Taking taylor expansion of 1/3 in im 2.759 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 2.759 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.759 * [taylor]: Taking taylor expansion of re in im 2.759 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.759 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.759 * [taylor]: Taking taylor expansion of im in im 2.777 * [taylor]: Taking taylor expansion of 0 in im 2.777 * * * [progress]: simplifying candidates 2.778 * [simplify]: Simplifying using # : (expm1 (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)) (log1p (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)) (* (exp (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (exp re)) (log (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)) (exp (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)) (* (cbrt (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)) (cbrt (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re))) (cbrt (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)) (* (* (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)) (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)) (sqrt (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)) (sqrt (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)) (+ (pow (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) 3) (pow re 3)) (+ (* (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (- (* re re) (* (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re))) (- (* (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (* re re)) (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (expm1 (cbrt (hypot re im))) (log1p (cbrt (hypot re im))) (log (cbrt (hypot re im))) (exp (cbrt (hypot re im))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt 1) (cbrt (hypot re im)) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (expm1 (cbrt (hypot re im))) (log1p (cbrt (hypot re im))) (log (cbrt (hypot re im))) (exp (cbrt (hypot re im))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt 1) (cbrt (hypot re im)) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (expm1 (cbrt (hypot re im))) (log1p (cbrt (hypot re im))) (log (cbrt (hypot re im))) (exp (cbrt (hypot re im))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt 1) (cbrt (hypot re im)) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (+ re im) (* 2 re) 0 (+ (pow im 1/3) (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3)))) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) (+ (pow im 1/3) (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3)))) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) (+ (pow im 1/3) (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3)))) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) 2.783 * * [simplify]: iteration 0 : 141 enodes (cost 419 ) 2.788 * * [simplify]: iteration 1 : 399 enodes (cost 352 ) 2.797 * * [simplify]: iteration 2 : 1356 enodes (cost 309 ) 2.828 * * [simplify]: iteration 3 : 5001 enodes (cost 297 ) 2.831 * [simplify]: Simplified to: (expm1 (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)) (log1p (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)) (exp (+ re (pow (cbrt (hypot re im)) 3))) (log (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)) (exp (+ re (pow (cbrt (hypot re im)) 3))) (* (cbrt (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)) (cbrt (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re))) (cbrt (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)) (pow (+ (pow (cbrt (hypot re im)) 3) re) 3) (hypot (pow (cbrt (hypot re im)) 3/2) (pow re 1/2)) (hypot (pow (cbrt (hypot re im)) 3/2) (pow re 1/2)) (fma (pow re 2) re (pow (pow (cbrt (hypot re im)) 3) 3)) (fma (hypot re im) (+ (- re) (hypot re im)) (pow re 2)) (fma (* (- re) (pow re 1/2)) (pow re 1/2) (pow (cbrt (hypot re im)) 6)) (+ (- re) (hypot re im)) (+ (pow (cbrt (hypot re im)) 3) re) (+ (pow (cbrt (hypot re im)) 3) re) (+ (pow (cbrt (hypot re im)) 3) re) (expm1 (cbrt (hypot re im))) (log1p (cbrt (hypot re im))) (log (cbrt (hypot re im))) (exp (cbrt (hypot re im))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt 1) (cbrt (hypot re im)) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (hypot re im) (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (expm1 (cbrt (hypot re im))) (log1p (cbrt (hypot re im))) (log (cbrt (hypot re im))) (exp (cbrt (hypot re im))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt 1) (cbrt (hypot re im)) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (hypot re im) (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (expm1 (cbrt (hypot re im))) (log1p (cbrt (hypot re im))) (log (cbrt (hypot re im))) (exp (cbrt (hypot re im))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt 1) (cbrt (hypot re im)) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (hypot re im) (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (+ re im) (* 2 re) 0 (fma (* 1/6 (pow re 2)) (pow (/ 1 (pow im 5)) 1/3) (pow im 1/3)) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) (fma (* 1/6 (pow re 2)) (pow (/ 1 (pow im 5)) 1/3) (pow im 1/3)) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) (fma (* 1/6 (pow re 2)) (pow (/ 1 (pow im 5)) 1/3) (pow im 1/3)) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) 2.832 * * * [progress]: adding candidates to table 3.118 * [progress]: [Phase 3 of 3] Extracting. 3.118 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # #) 3.121 * * * [regime-changes]: Trying 2 branch expressions: (im re) 3.122 * * * * [regimes]: Trying to branch on im from (# # # # # # # # # # # # #) 3.189 * * * * [regimes]: Trying to branch on re from (# # # # # # # # # # # # #) 3.254 * * * [regime]: Found split indices: #