13.369 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.025 * * * [progress]: [2/2] Setting up program. 0.028 * [progress]: [Phase 2 of 3] Improving. 0.028 * [simplify]: Simplifying using # : (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.028 * [simplify]: Sending expressions to egg_math: (* h0 (sqrt (* h1 (+ (sqrt (+ (* h2 h2) (* h3 h3))) h2)))) 0.031 * * [simplify]: iteration 0 : 24 enodes (cost 8 ) 0.032 * * [simplify]: iteration 1 : 30 enodes (cost 8 ) 0.034 * * [simplify]: iteration 2 : 33 enodes (cost 8 ) 0.035 * * [simplify]: iteration 3 : 33 enodes (cost 8 ) 0.035 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.035 * * [progress]: iteration 1 / 4 0.035 * * * [progress]: picking best candidate 0.038 * * * * [pick]: Picked # 0.038 * * * [progress]: localizing error 0.048 * * * [progress]: generating rewritten candidates 0.048 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.056 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.091 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.115 * * * [progress]: generating series expansions 0.116 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.116 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.116 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.116 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.116 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.116 * [taylor]: Taking taylor expansion of re in im 0.116 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.116 * [taylor]: Taking taylor expansion of im in im 0.117 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.117 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.117 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.117 * [taylor]: Taking taylor expansion of re in re 0.117 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.117 * [taylor]: Taking taylor expansion of im in re 0.117 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.117 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.117 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.117 * [taylor]: Taking taylor expansion of re in re 0.118 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.118 * [taylor]: Taking taylor expansion of im in re 0.118 * [taylor]: Taking taylor expansion of im in im 0.118 * [taylor]: Taking taylor expansion of 0 in im 0.119 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.119 * [taylor]: Taking taylor expansion of 1/2 in im 0.119 * [taylor]: Taking taylor expansion of im in im 0.121 * [taylor]: Taking taylor expansion of 0 in im 0.122 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.122 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.122 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.122 * [taylor]: Taking taylor expansion of im in im 0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.123 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.123 * [taylor]: Taking taylor expansion of re in im 0.125 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.125 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.125 * [taylor]: Taking taylor expansion of im in re 0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.125 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.125 * [taylor]: Taking taylor expansion of re in re 0.127 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.127 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.127 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.127 * [taylor]: Taking taylor expansion of im in re 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.127 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.127 * [taylor]: Taking taylor expansion of re in re 0.129 * [taylor]: Taking taylor expansion of 1 in im 0.129 * [taylor]: Taking taylor expansion of 0 in im 0.132 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.132 * [taylor]: Taking taylor expansion of 1/2 in im 0.132 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.132 * [taylor]: Taking taylor expansion of im in im 0.135 * [taylor]: Taking taylor expansion of 0 in im 0.136 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.136 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.136 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.136 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.136 * [taylor]: Taking taylor expansion of im in im 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.136 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.137 * [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 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.139 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.139 * [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 0.143 * [taylor]: Taking taylor expansion of 1 in im 0.143 * [taylor]: Taking taylor expansion of 0 in im 0.145 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.145 * [taylor]: Taking taylor expansion of 1/2 in im 0.145 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.145 * [taylor]: Taking taylor expansion of im in im 0.152 * [taylor]: Taking taylor expansion of 0 in im 0.154 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 0.154 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 0.154 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.154 * [taylor]: Taking taylor expansion of re in im 0.154 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.154 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.154 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.154 * [taylor]: Taking taylor expansion of re in im 0.154 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.154 * [taylor]: Taking taylor expansion of im in im 0.155 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.155 * [taylor]: Taking taylor expansion of re in re 0.155 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.155 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.155 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.155 * [taylor]: Taking taylor expansion of re in re 0.155 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.155 * [taylor]: Taking taylor expansion of im in re 0.155 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.155 * [taylor]: Taking taylor expansion of re in re 0.155 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.155 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.155 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.155 * [taylor]: Taking taylor expansion of re in re 0.155 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.155 * [taylor]: Taking taylor expansion of im in re 0.156 * [taylor]: Taking taylor expansion of im in im 0.156 * [taylor]: Taking taylor expansion of 1 in im 0.157 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.157 * [taylor]: Taking taylor expansion of 1/2 in im 0.157 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.157 * [taylor]: Taking taylor expansion of im in im 0.160 * [taylor]: Taking taylor expansion of 0 in im 0.161 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.161 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.161 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.161 * [taylor]: Taking taylor expansion of re in im 0.161 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.161 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.161 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.161 * [taylor]: Taking taylor expansion of im in im 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.162 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.162 * [taylor]: Taking taylor expansion of re in im 0.163 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.163 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.163 * [taylor]: Taking taylor expansion of re in re 0.164 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.164 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.164 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.164 * [taylor]: Taking taylor expansion of im in re 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.164 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.164 * [taylor]: Taking taylor expansion of re in re 0.166 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.166 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.166 * [taylor]: Taking taylor expansion of re in re 0.166 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.166 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.166 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.166 * [taylor]: Taking taylor expansion of im in re 0.167 * [taylor]: Taking taylor expansion of (/ 1 (pow re 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 0.169 * [taylor]: Taking taylor expansion of 2 in im 0.170 * [taylor]: Taking taylor expansion of 0 in im 0.172 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.172 * [taylor]: Taking taylor expansion of 1/2 in im 0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.172 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.172 * [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 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.178 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 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 0.180 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.180 * [taylor]: Taking taylor expansion of re in im 0.180 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.180 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.180 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.180 * [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 0.183 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.183 * [taylor]: Taking taylor expansion of re in re 0.183 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.183 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.183 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.183 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.183 * [taylor]: Taking taylor expansion of im in re 0.183 * [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 0.186 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.186 * [taylor]: Taking taylor expansion of re in re 0.186 * [taylor]: Taking taylor expansion of 0 in im 0.187 * [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 0.194 * [taylor]: Taking taylor expansion of 0 in im 0.196 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.196 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in (re im) around 0 0.196 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 0.196 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.196 * [taylor]: Taking taylor expansion of 2.0 in im 0.196 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 0.197 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.197 * [taylor]: Taking taylor expansion of re in im 0.197 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.197 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 0.197 * [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 (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.198 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.198 * [taylor]: Taking taylor expansion of 2.0 in re 0.198 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.198 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.198 * [taylor]: Taking taylor expansion of re in re 0.198 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.198 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.198 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.198 * [taylor]: Taking taylor expansion of re in re 0.198 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.198 * [taylor]: Taking taylor expansion of im in re 0.199 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.199 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.199 * [taylor]: Taking taylor expansion of 2.0 in re 0.200 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.200 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.200 * [taylor]: Taking taylor expansion of re in re 0.200 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.200 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 0.200 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.200 * [taylor]: Taking taylor expansion of im in re 0.201 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.201 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.201 * [taylor]: Taking taylor expansion of 2.0 in im 0.202 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.202 * [taylor]: Taking taylor expansion of im in im 0.203 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.204 * [taylor]: Taking taylor expansion of 1/2 in im 0.204 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.204 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.204 * [taylor]: Taking taylor expansion of 2.0 in im 0.204 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.204 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.204 * [taylor]: Taking taylor expansion of im in im 0.215 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.215 * [taylor]: Taking taylor expansion of 1/8 in im 0.215 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.215 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.215 * [taylor]: Taking taylor expansion of 2.0 in im 0.215 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.215 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.215 * [taylor]: Taking taylor expansion of im in im 0.230 * [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 0.230 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.230 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.230 * [taylor]: Taking taylor expansion of 2.0 in im 0.230 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.230 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.230 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.230 * [taylor]: Taking taylor expansion of re in im 0.231 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.231 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.231 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.231 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.231 * [taylor]: Taking taylor expansion of im in im 0.231 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.231 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.231 * [taylor]: Taking taylor expansion of re in im 0.234 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.234 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.234 * [taylor]: Taking taylor expansion of 2.0 in re 0.235 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.235 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.235 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.235 * [taylor]: Taking taylor expansion of re in re 0.235 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.235 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.235 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.235 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.235 * [taylor]: Taking taylor expansion of im in re 0.236 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.236 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.236 * [taylor]: Taking taylor expansion of re in re 0.239 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.239 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.239 * [taylor]: Taking taylor expansion of 2.0 in re 0.246 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.246 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.246 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.246 * [taylor]: Taking taylor expansion of re in re 0.246 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.246 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.246 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.246 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.246 * [taylor]: Taking taylor expansion of im in re 0.246 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.246 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.246 * [taylor]: Taking taylor expansion of re in re 0.250 * [taylor]: Taking taylor expansion of 0 in im 0.251 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.251 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.251 * [taylor]: Taking taylor expansion of +nan.0 in im 0.251 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.251 * [taylor]: Taking taylor expansion of 2.0 in im 0.256 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.256 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.256 * [taylor]: Taking taylor expansion of +nan.0 in im 0.256 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.256 * [taylor]: Taking taylor expansion of 2.0 in im 0.264 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.264 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.264 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.264 * [taylor]: Taking taylor expansion of +nan.0 in im 0.264 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.264 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.265 * [taylor]: Taking taylor expansion of 2.0 in im 0.265 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.265 * [taylor]: Taking taylor expansion of im in im 0.266 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.266 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.266 * [taylor]: Taking taylor expansion of +nan.0 in im 0.266 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.266 * [taylor]: Taking taylor expansion of 2.0 in im 0.276 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.277 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.277 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.277 * [taylor]: Taking taylor expansion of +nan.0 in im 0.277 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.277 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.277 * [taylor]: Taking taylor expansion of 2.0 in im 0.277 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.277 * [taylor]: Taking taylor expansion of im in im 0.278 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.278 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.278 * [taylor]: Taking taylor expansion of +nan.0 in im 0.278 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.278 * [taylor]: Taking taylor expansion of 2.0 in im 0.291 * [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 0.291 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.291 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.291 * [taylor]: Taking taylor expansion of 2.0 in im 0.292 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.292 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.292 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.292 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.292 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.292 * [taylor]: Taking taylor expansion of im in im 0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.292 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.292 * [taylor]: Taking taylor expansion of re in im 0.294 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.294 * [taylor]: Taking taylor expansion of re in im 0.295 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.295 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.295 * [taylor]: Taking taylor expansion of 2.0 in re 0.296 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.296 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.296 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.296 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.296 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.296 * [taylor]: Taking taylor expansion of im in re 0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.296 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.296 * [taylor]: Taking taylor expansion of re in re 0.299 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.299 * [taylor]: Taking taylor expansion of re in re 0.303 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.303 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.303 * [taylor]: Taking taylor expansion of 2.0 in re 0.304 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.304 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.304 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.304 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.304 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.304 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.304 * [taylor]: Taking taylor expansion of im in re 0.304 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.304 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.304 * [taylor]: Taking taylor expansion of re in re 0.306 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.306 * [taylor]: Taking taylor expansion of re in re 0.311 * [taylor]: Taking taylor expansion of 0 in im 0.312 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.312 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.312 * [taylor]: Taking taylor expansion of +nan.0 in im 0.312 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.312 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.312 * [taylor]: Taking taylor expansion of 2.0 in im 0.313 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.313 * [taylor]: Taking taylor expansion of im in im 0.319 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.319 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.319 * [taylor]: Taking taylor expansion of +nan.0 in im 0.319 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.319 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.319 * [taylor]: Taking taylor expansion of 2.0 in im 0.320 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.320 * [taylor]: Taking taylor expansion of im in im 0.342 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.342 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.342 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.342 * [taylor]: Taking taylor expansion of +nan.0 in im 0.342 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.342 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.342 * [taylor]: Taking taylor expansion of 2.0 in im 0.343 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.343 * [taylor]: Taking taylor expansion of im in im 0.344 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.344 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) 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 6)) 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 6) in im 0.345 * [taylor]: Taking taylor expansion of im in im 0.366 * * * [progress]: simplifying candidates 0.367 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (expm1 (+ (sqrt (+ (* re re) (* im im))) re)) (log1p (+ (sqrt (+ (* re re) (* im im))) re)) (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) (expm1 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (log1p (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (* (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) im re (* -1 re) (+ 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 0.368 * [simplify]: Sending expressions to egg_math: (expm1 (sqrt (+ (* h0 h0) (* h1 h1)))) (log1p (sqrt (+ (* h0 h0) (* h1 h1)))) (log (sqrt (+ (* h0 h0) (* h1 h1)))) (exp (sqrt (+ (* h0 h0) (* h1 h1)))) (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt 1) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (sqrt (- (* h0 h0) (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (expm1 (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (log1p (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (* (exp (sqrt (+ (* h0 h0) (* h1 h1)))) (exp h0)) (log (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (exp (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (* (cbrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (cbrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (cbrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (* (* (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (sqrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (sqrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (+ (pow (sqrt (+ (* h0 h0) (* h1 h1))) 3) (pow h0 3)) (+ (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (- (* h0 h0) (* (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (- (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (* h0 h0)) (- (sqrt (+ (* h0 h0) (* h1 h1))) h0) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0) (expm1 (sqrt (* h2 (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)))) (log1p (sqrt (* h2 (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)))) (log (sqrt (* h2 (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)))) (exp (sqrt (* h2 (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)))) (* (cbrt (sqrt (* h2 (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)))) (cbrt (sqrt (* h2 (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))))) (cbrt (sqrt (* h2 (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)))) (* (* (sqrt (* h2 (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (sqrt (* h2 (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)))) (sqrt (* h2 (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)))) (sqrt h2) (sqrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (sqrt (* h2 (+ (pow (sqrt (+ (* h0 h0) (* h1 h1))) 3) (pow h0 3)))) (sqrt (+ (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (- (* h0 h0) (* (sqrt (+ (* h0 h0) (* h1 h1))) h0)))) (sqrt (* h2 (- (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (* h0 h0)))) (sqrt (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* h2 (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)))) (sqrt (sqrt (* h2 (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)))) h1 h0 (* -1 h0) (+ h0 h1) (* 2 h0) 0 (- (+ (* h3 (* (sqrt h2) (pow h0 2))) (- (+ (* h3 (* (sqrt h2) h1)) (- (* h3 (* (sqrt h2) h0))))))) (- (+ (* h3 (sqrt h2)) (- (+ (* h3 (/ (sqrt h2) (pow h0 2))) (- (* h3 (/ (sqrt h2) h0))))))) 0 0.372 * * [simplify]: iteration 0 : 264 enodes (cost 372 ) 0.377 * * [simplify]: iteration 1 : 830 enodes (cost 337 ) 0.391 * * [simplify]: iteration 2 : 2660 enodes (cost 322 ) 0.438 * * [simplify]: iteration 3 : 5002 enodes (cost 320 ) 0.440 * [simplify]: Simplified to: (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (hypot re im) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (hypot re im) (hypot (pow im 3) (pow re 3)) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (expm1 (+ (sqrt (+ (* re re) (* im im))) re)) (log1p (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ re (hypot re im))) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ re (hypot re im))) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (pow (+ re (hypot re im)) 3) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (fma (pow re 2) re (pow (hypot re im) 3)) (fma re (- re (hypot re im)) (fma re re (* im im))) (* im im) (- (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)) (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) im re (* -1 re) (+ 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 0.441 * * * [progress]: adding candidates to table 0.609 * * [progress]: iteration 2 / 4 0.610 * * * [progress]: picking best candidate 0.622 * * * * [pick]: Picked # 0.622 * * * [progress]: localizing error 0.631 * * * [progress]: generating rewritten candidates 0.631 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 2 2) 0.637 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.663 * * * [progress]: generating series expansions 0.663 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 2 2) 0.663 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 0.663 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.663 * [taylor]: Taking taylor expansion of re in im 0.663 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.663 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.663 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.663 * [taylor]: Taking taylor expansion of (* re re) in im 0.663 * [taylor]: Taking taylor expansion of re in im 0.663 * [taylor]: Taking taylor expansion of re in im 0.663 * [taylor]: Taking taylor expansion of (* im im) in im 0.663 * [taylor]: Taking taylor expansion of im in im 0.664 * [taylor]: Taking taylor expansion of im in im 0.667 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.667 * [taylor]: Taking taylor expansion of re in re 0.667 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.667 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.667 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.667 * [taylor]: Taking taylor expansion of (* re re) in re 0.667 * [taylor]: Taking taylor expansion of re in re 0.667 * [taylor]: Taking taylor expansion of re in re 0.667 * [taylor]: Taking taylor expansion of (* im im) in re 0.667 * [taylor]: Taking taylor expansion of im in re 0.667 * [taylor]: Taking taylor expansion of im in re 0.668 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.668 * [taylor]: Taking taylor expansion of re in re 0.668 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.668 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.668 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.668 * [taylor]: Taking taylor expansion of (* re re) in re 0.668 * [taylor]: Taking taylor expansion of re in re 0.668 * [taylor]: Taking taylor expansion of re in re 0.668 * [taylor]: Taking taylor expansion of (* im im) in re 0.668 * [taylor]: Taking taylor expansion of im in re 0.668 * [taylor]: Taking taylor expansion of im in re 0.669 * [taylor]: Taking taylor expansion of im in im 0.670 * [taylor]: Taking taylor expansion of 1 in im 0.671 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.671 * [taylor]: Taking taylor expansion of 1/2 in im 0.671 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.671 * [taylor]: Taking taylor expansion of im in im 0.674 * [taylor]: Taking taylor expansion of 0 in im 0.675 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 0.675 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.675 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.675 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.675 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.675 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.675 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.675 * [taylor]: Taking taylor expansion of re in im 0.675 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.675 * [taylor]: Taking taylor expansion of re in im 0.675 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.675 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.675 * [taylor]: Taking taylor expansion of im in im 0.675 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.675 * [taylor]: Taking taylor expansion of im in im 0.678 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.678 * [taylor]: Taking taylor expansion of re in im 0.678 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.678 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.678 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.678 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.678 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.678 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.678 * [taylor]: Taking taylor expansion of re in re 0.678 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.679 * [taylor]: Taking taylor expansion of re in re 0.679 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.679 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.679 * [taylor]: Taking taylor expansion of im in re 0.679 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.679 * [taylor]: Taking taylor expansion of im in re 0.681 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.681 * [taylor]: Taking taylor expansion of re in re 0.681 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.681 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.682 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.682 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.682 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.682 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.682 * [taylor]: Taking taylor expansion of re in re 0.682 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.682 * [taylor]: Taking taylor expansion of re in re 0.682 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.682 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.682 * [taylor]: Taking taylor expansion of im in re 0.682 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.682 * [taylor]: Taking taylor expansion of im in re 0.685 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.685 * [taylor]: Taking taylor expansion of re in re 0.685 * [taylor]: Taking taylor expansion of 2 in im 0.686 * [taylor]: Taking taylor expansion of 0 in im 0.689 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.689 * [taylor]: Taking taylor expansion of 1/2 in im 0.689 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.689 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.689 * [taylor]: Taking taylor expansion of im in im 0.693 * [taylor]: Taking taylor expansion of 0 in im 0.695 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 0.695 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.695 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.695 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.695 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.695 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.695 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.695 * [taylor]: Taking taylor expansion of -1 in im 0.695 * [taylor]: Taking taylor expansion of re in im 0.695 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.695 * [taylor]: Taking taylor expansion of -1 in im 0.695 * [taylor]: Taking taylor expansion of re in im 0.695 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.695 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.695 * [taylor]: Taking taylor expansion of -1 in im 0.695 * [taylor]: Taking taylor expansion of im in im 0.695 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.695 * [taylor]: Taking taylor expansion of -1 in im 0.695 * [taylor]: Taking taylor expansion of im in im 0.698 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.698 * [taylor]: Taking taylor expansion of re in im 0.698 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.698 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.698 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.698 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.698 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.698 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.698 * [taylor]: Taking taylor expansion of -1 in re 0.698 * [taylor]: Taking taylor expansion of re in re 0.699 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.699 * [taylor]: Taking taylor expansion of -1 in re 0.699 * [taylor]: Taking taylor expansion of re in re 0.699 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.699 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.699 * [taylor]: Taking taylor expansion of -1 in re 0.699 * [taylor]: Taking taylor expansion of im in re 0.699 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.699 * [taylor]: Taking taylor expansion of -1 in re 0.699 * [taylor]: Taking taylor expansion of im in re 0.702 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.702 * [taylor]: Taking taylor expansion of re in re 0.702 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.702 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.702 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.702 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.702 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.702 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.702 * [taylor]: Taking taylor expansion of -1 in re 0.702 * [taylor]: Taking taylor expansion of re in re 0.703 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.703 * [taylor]: Taking taylor expansion of -1 in re 0.703 * [taylor]: Taking taylor expansion of re in re 0.703 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.703 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.703 * [taylor]: Taking taylor expansion of -1 in re 0.703 * [taylor]: Taking taylor expansion of im in re 0.703 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.703 * [taylor]: Taking taylor expansion of -1 in re 0.703 * [taylor]: Taking taylor expansion of im in re 0.705 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.705 * [taylor]: Taking taylor expansion of re in re 0.706 * [taylor]: Taking taylor expansion of 0 in im 0.707 * [taylor]: Taking taylor expansion of 0 in im 0.710 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.710 * [taylor]: Taking taylor expansion of 1/2 in im 0.710 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.710 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.710 * [taylor]: Taking taylor expansion of im in im 0.715 * [taylor]: Taking taylor expansion of 0 in im 0.716 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.717 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0 0.717 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im 0.717 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 0.717 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.717 * [taylor]: Taking taylor expansion of re in im 0.717 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.717 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.717 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.717 * [taylor]: Taking taylor expansion of (* re re) in im 0.717 * [taylor]: Taking taylor expansion of re in im 0.717 * [taylor]: Taking taylor expansion of re in im 0.717 * [taylor]: Taking taylor expansion of (* im im) in im 0.717 * [taylor]: Taking taylor expansion of im in im 0.717 * [taylor]: Taking taylor expansion of im in im 0.718 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.718 * [taylor]: Taking taylor expansion of 2.0 in im 0.719 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 0.719 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 0.719 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.719 * [taylor]: Taking taylor expansion of re in re 0.719 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.719 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.719 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.719 * [taylor]: Taking taylor expansion of (* re re) in re 0.719 * [taylor]: Taking taylor expansion of re in re 0.719 * [taylor]: Taking taylor expansion of re in re 0.719 * [taylor]: Taking taylor expansion of (* im im) in re 0.719 * [taylor]: Taking taylor expansion of im in re 0.719 * [taylor]: Taking taylor expansion of im in re 0.721 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.721 * [taylor]: Taking taylor expansion of 2.0 in re 0.721 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 0.721 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 0.721 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.721 * [taylor]: Taking taylor expansion of re in re 0.721 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.721 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.721 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.721 * [taylor]: Taking taylor expansion of (* re re) in re 0.721 * [taylor]: Taking taylor expansion of re in re 0.721 * [taylor]: Taking taylor expansion of re in re 0.721 * [taylor]: Taking taylor expansion of (* im im) in re 0.721 * [taylor]: Taking taylor expansion of im in re 0.722 * [taylor]: Taking taylor expansion of im in re 0.723 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.723 * [taylor]: Taking taylor expansion of 2.0 in re 0.724 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.724 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.724 * [taylor]: Taking taylor expansion of 2.0 in im 0.724 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.725 * [taylor]: Taking taylor expansion of im in im 0.727 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.727 * [taylor]: Taking taylor expansion of 1/2 in im 0.727 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.727 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.727 * [taylor]: Taking taylor expansion of 2.0 in im 0.728 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.728 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.728 * [taylor]: Taking taylor expansion of im in im 0.738 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.738 * [taylor]: Taking taylor expansion of 1/8 in im 0.738 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.738 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.738 * [taylor]: Taking taylor expansion of 2.0 in im 0.739 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.739 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.739 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.739 * [taylor]: Taking taylor expansion of im in im 0.760 * [approximate]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 0.760 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im 0.760 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 0.760 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.760 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.761 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.761 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.761 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.761 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.761 * [taylor]: Taking taylor expansion of re in im 0.761 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.761 * [taylor]: Taking taylor expansion of re in im 0.761 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.761 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.761 * [taylor]: Taking taylor expansion of im in im 0.761 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.761 * [taylor]: Taking taylor expansion of im in im 0.764 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.764 * [taylor]: Taking taylor expansion of re in im 0.765 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.765 * [taylor]: Taking taylor expansion of 2.0 in im 0.765 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 0.766 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 0.766 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.766 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.766 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.766 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.766 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.766 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.766 * [taylor]: Taking taylor expansion of re in re 0.766 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.766 * [taylor]: Taking taylor expansion of re in re 0.766 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.766 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.766 * [taylor]: Taking taylor expansion of im in re 0.766 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.766 * [taylor]: Taking taylor expansion of im in re 0.769 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.769 * [taylor]: Taking taylor expansion of re in re 0.770 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.770 * [taylor]: Taking taylor expansion of 2.0 in re 0.771 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 0.771 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 0.771 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.771 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.771 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.771 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.771 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.771 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.771 * [taylor]: Taking taylor expansion of re in re 0.771 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.771 * [taylor]: Taking taylor expansion of re in re 0.771 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.771 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.771 * [taylor]: Taking taylor expansion of im in re 0.771 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.771 * [taylor]: Taking taylor expansion of im in re 0.774 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.774 * [taylor]: Taking taylor expansion of re in re 0.775 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.775 * [taylor]: Taking taylor expansion of 2.0 in re 0.776 * [taylor]: Taking taylor expansion of 0 in im 0.777 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.777 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.777 * [taylor]: Taking taylor expansion of +nan.0 in im 0.777 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.777 * [taylor]: Taking taylor expansion of 2.0 in im 0.783 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.783 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.783 * [taylor]: Taking taylor expansion of +nan.0 in im 0.783 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.783 * [taylor]: Taking taylor expansion of 2.0 in im 0.791 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.791 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.791 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.792 * [taylor]: Taking taylor expansion of +nan.0 in im 0.792 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.792 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.792 * [taylor]: Taking taylor expansion of 2.0 in im 0.792 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.792 * [taylor]: Taking taylor expansion of im in im 0.793 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.793 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.793 * [taylor]: Taking taylor expansion of +nan.0 in im 0.793 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.793 * [taylor]: Taking taylor expansion of 2.0 in im 0.804 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.805 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.805 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.805 * [taylor]: Taking taylor expansion of +nan.0 in im 0.805 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.805 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.805 * [taylor]: Taking taylor expansion of 2.0 in im 0.805 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.805 * [taylor]: Taking taylor expansion of im in im 0.806 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.806 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.806 * [taylor]: Taking taylor expansion of +nan.0 in im 0.806 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.806 * [taylor]: Taking taylor expansion of 2.0 in im 0.818 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 0.819 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 0.819 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.819 * [taylor]: Taking taylor expansion of 2.0 in im 0.819 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 0.819 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.819 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.819 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.819 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.819 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.819 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.819 * [taylor]: Taking taylor expansion of -1 in im 0.819 * [taylor]: Taking taylor expansion of re in im 0.819 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.820 * [taylor]: Taking taylor expansion of -1 in im 0.820 * [taylor]: Taking taylor expansion of re in im 0.820 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.820 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.820 * [taylor]: Taking taylor expansion of -1 in im 0.820 * [taylor]: Taking taylor expansion of im in im 0.820 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.820 * [taylor]: Taking taylor expansion of -1 in im 0.820 * [taylor]: Taking taylor expansion of im in im 0.823 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.823 * [taylor]: Taking taylor expansion of re in im 0.824 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.824 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.824 * [taylor]: Taking taylor expansion of 2.0 in re 0.825 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.825 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.825 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.825 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.825 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.825 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.825 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.825 * [taylor]: Taking taylor expansion of -1 in re 0.825 * [taylor]: Taking taylor expansion of re in re 0.825 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.825 * [taylor]: Taking taylor expansion of -1 in re 0.825 * [taylor]: Taking taylor expansion of re in re 0.825 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.825 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.825 * [taylor]: Taking taylor expansion of -1 in re 0.825 * [taylor]: Taking taylor expansion of im in re 0.825 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.825 * [taylor]: Taking taylor expansion of -1 in re 0.825 * [taylor]: Taking taylor expansion of im in re 0.828 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.828 * [taylor]: Taking taylor expansion of re in re 0.833 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.833 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.833 * [taylor]: Taking taylor expansion of 2.0 in re 0.834 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.834 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.834 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.834 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.834 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.834 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.834 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.834 * [taylor]: Taking taylor expansion of -1 in re 0.834 * [taylor]: Taking taylor expansion of re in re 0.834 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.834 * [taylor]: Taking taylor expansion of -1 in re 0.834 * [taylor]: Taking taylor expansion of re in re 0.834 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.835 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.835 * [taylor]: Taking taylor expansion of -1 in re 0.835 * [taylor]: Taking taylor expansion of im in re 0.835 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.835 * [taylor]: Taking taylor expansion of -1 in re 0.835 * [taylor]: Taking taylor expansion of im in re 0.844 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.844 * [taylor]: Taking taylor expansion of re in re 0.849 * [taylor]: Taking taylor expansion of 0 in im 0.850 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.850 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.850 * [taylor]: Taking taylor expansion of +nan.0 in im 0.850 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.850 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.850 * [taylor]: Taking taylor expansion of 2.0 in im 0.851 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.851 * [taylor]: Taking taylor expansion of im in im 0.858 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.858 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.858 * [taylor]: Taking taylor expansion of +nan.0 in im 0.858 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.858 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.858 * [taylor]: Taking taylor expansion of 2.0 in im 0.859 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.859 * [taylor]: Taking taylor expansion of im in im 0.875 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.875 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.875 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.875 * [taylor]: Taking taylor expansion of +nan.0 in im 0.875 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.875 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.875 * [taylor]: Taking taylor expansion of 2.0 in im 0.876 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.876 * [taylor]: Taking taylor expansion of im in im 0.877 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.877 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.877 * [taylor]: Taking taylor expansion of +nan.0 in im 0.877 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.877 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.877 * [taylor]: Taking taylor expansion of 2.0 in im 0.877 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.877 * [taylor]: Taking taylor expansion of im in im 0.899 * * * [progress]: simplifying candidates 0.900 * [simplify]: Simplifying using # : (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (* (exp re) (exp (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (* (* (+ re (hypot re im)) (+ re (hypot re im))) (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im)))) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (expm1 (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (log1p (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (log (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (exp (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (* (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (* (* (sqrt (* 2.0 (* 1 (+ re (hypot re im))))) (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt 2.0) (sqrt (* 1 (+ re (hypot re im)))) (sqrt (* 2.0 (* 1 (+ (pow re 3) (pow (hypot re im) 3))))) (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))) (sqrt (* 2.0 (* 1 (- (* re re) (* (hypot re im) (hypot re im)))))) (sqrt (- re (hypot re im))) (/ 1 2) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (+ 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 0.900 * [simplify]: Sending expressions to egg_math: (expm1 (+ h0 (hypot h0 h1))) (log1p (+ h0 (hypot h0 h1))) (* (exp h0) (exp (hypot h0 h1))) (log (+ h0 (hypot h0 h1))) (exp (+ h0 (hypot h0 h1))) (* (cbrt (+ h0 (hypot h0 h1))) (cbrt (+ h0 (hypot h0 h1)))) (cbrt (+ h0 (hypot h0 h1))) (* (* (+ h0 (hypot h0 h1)) (+ h0 (hypot h0 h1))) (+ h0 (hypot h0 h1))) (sqrt (+ h0 (hypot h0 h1))) (sqrt (+ h0 (hypot h0 h1))) (+ (pow h0 3) (pow (hypot h0 h1) 3)) (+ (* h0 h0) (- (* (hypot h0 h1) (hypot h0 h1)) (* h0 (hypot h0 h1)))) (- (* h0 h0) (* (hypot h0 h1) (hypot h0 h1))) (- h0 (hypot h0 h1)) (+ h0 (hypot h0 h1)) (expm1 (sqrt (* h2 (* 1 (+ h0 (hypot h0 h1)))))) (log1p (sqrt (* h2 (* 1 (+ h0 (hypot h0 h1)))))) (log (sqrt (* h2 (* 1 (+ h0 (hypot h0 h1)))))) (exp (sqrt (* h2 (* 1 (+ h0 (hypot h0 h1)))))) (* (cbrt (sqrt (* h2 (* 1 (+ h0 (hypot h0 h1)))))) (cbrt (sqrt (* h2 (* 1 (+ h0 (hypot h0 h1))))))) (cbrt (sqrt (* h2 (* 1 (+ h0 (hypot h0 h1)))))) (* (* (sqrt (* h2 (* 1 (+ h0 (hypot h0 h1))))) (sqrt (* h2 (* 1 (+ h0 (hypot h0 h1)))))) (sqrt (* h2 (* 1 (+ h0 (hypot h0 h1)))))) (sqrt h2) (sqrt (* 1 (+ h0 (hypot h0 h1)))) (sqrt (* h2 (* 1 (+ (pow h0 3) (pow (hypot h0 h1) 3))))) (sqrt (+ (* h0 h0) (- (* (hypot h0 h1) (hypot h0 h1)) (* h0 (hypot h0 h1))))) (sqrt (* h2 (* 1 (- (* h0 h0) (* (hypot h0 h1) (hypot h0 h1)))))) (sqrt (- h0 (hypot h0 h1))) (/ 1 2) (/ 1 2) (/ 1 2) (sqrt (sqrt (* h2 (* 1 (+ h0 (hypot h0 h1)))))) (sqrt (sqrt (* h2 (* 1 (+ h0 (hypot h0 h1)))))) (+ h0 h1) (* 2 h0) 0 (- (+ (* h3 (* (sqrt h2) (pow h0 2))) (- (+ (* h3 (* (sqrt h2) h1)) (- (* h3 (* (sqrt h2) h0))))))) (- (+ (* h3 (sqrt h2)) (- (+ (* h3 (/ (sqrt h2) (pow h0 2))) (- (* h3 (/ (sqrt h2) h0))))))) 0 0.904 * * [simplify]: iteration 0 : 194 enodes (cost 185 ) 0.908 * * [simplify]: iteration 1 : 791 enodes (cost 167 ) 0.922 * * [simplify]: iteration 2 : 3233 enodes (cost 161 ) 0.979 * * [simplify]: iteration 3 : 5001 enodes (cost 161 ) 0.980 * [simplify]: Simplified to: (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (exp (+ re (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (pow (+ re (hypot re im)) 3) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (fma (hypot re im) (- (hypot re im) re) (pow re 2)) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (expm1 (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (log1p (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (log (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (exp (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (* (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (pow (sqrt (* 2.0 (* 1 (+ re (hypot re im))))) 3) (sqrt 2.0) (sqrt (+ re (hypot re im))) (sqrt (* 2.0 (* 1 (+ (pow re 3) (pow (hypot re im) 3))))) (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))) (sqrt (* 2.0 (* 1 (- (* re re) (* (hypot re im) (hypot re im)))))) (sqrt (- re (hypot re im))) 1/2 1/2 1/2 (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (+ re im) (* 2 re) 0 (* (* +nan.0 (sqrt 2.0)) (+ (- (pow re 2)) (- im re))) (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) 0 0.981 * * * [progress]: adding candidates to table 1.082 * * [progress]: iteration 3 / 4 1.082 * * * [progress]: picking best candidate 1.102 * * * * [pick]: Picked # 1.102 * * * [progress]: localizing error 1.118 * * * [progress]: generating rewritten candidates 1.118 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1 2 2) 1.123 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 2 2) 1.129 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.287 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 1.316 * * * [progress]: generating series expansions 1.316 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1 2 2) 1.316 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 1.316 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.316 * [taylor]: Taking taylor expansion of re in im 1.316 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.317 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.317 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.317 * [taylor]: Taking taylor expansion of (* re re) in im 1.317 * [taylor]: Taking taylor expansion of re in im 1.317 * [taylor]: Taking taylor expansion of re in im 1.317 * [taylor]: Taking taylor expansion of (* im im) in im 1.317 * [taylor]: Taking taylor expansion of im in im 1.317 * [taylor]: Taking taylor expansion of im in im 1.318 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.318 * [taylor]: Taking taylor expansion of re in re 1.318 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.318 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.318 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.318 * [taylor]: Taking taylor expansion of (* re re) in re 1.318 * [taylor]: Taking taylor expansion of re in re 1.318 * [taylor]: Taking taylor expansion of re in re 1.318 * [taylor]: Taking taylor expansion of (* im im) in re 1.318 * [taylor]: Taking taylor expansion of im in re 1.318 * [taylor]: Taking taylor expansion of im in re 1.319 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.320 * [taylor]: Taking taylor expansion of re in re 1.320 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.320 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.320 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.320 * [taylor]: Taking taylor expansion of (* re re) in re 1.320 * [taylor]: Taking taylor expansion of re in re 1.320 * [taylor]: Taking taylor expansion of re in re 1.320 * [taylor]: Taking taylor expansion of (* im im) in re 1.320 * [taylor]: Taking taylor expansion of im in re 1.320 * [taylor]: Taking taylor expansion of im in re 1.321 * [taylor]: Taking taylor expansion of im in im 1.321 * [taylor]: Taking taylor expansion of 1 in im 1.323 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.323 * [taylor]: Taking taylor expansion of 1/2 in im 1.323 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.323 * [taylor]: Taking taylor expansion of im in im 1.325 * [taylor]: Taking taylor expansion of 0 in im 1.326 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 1.326 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.326 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.326 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.326 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.326 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.326 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.326 * [taylor]: Taking taylor expansion of re in im 1.327 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.327 * [taylor]: Taking taylor expansion of re in im 1.327 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.327 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.327 * [taylor]: Taking taylor expansion of im in im 1.327 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.327 * [taylor]: Taking taylor expansion of im in im 1.329 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.329 * [taylor]: Taking taylor expansion of re in im 1.330 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.330 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.330 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.330 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.330 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.330 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.330 * [taylor]: Taking taylor expansion of re in re 1.330 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.330 * [taylor]: Taking taylor expansion of re in re 1.330 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.330 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.330 * [taylor]: Taking taylor expansion of im in re 1.330 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.330 * [taylor]: Taking taylor expansion of im in re 1.333 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.333 * [taylor]: Taking taylor expansion of re in re 1.333 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.333 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.333 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.333 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.333 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.333 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.333 * [taylor]: Taking taylor expansion of re in re 1.333 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.333 * [taylor]: Taking taylor expansion of re in re 1.334 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.334 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.334 * [taylor]: Taking taylor expansion of im in re 1.334 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.334 * [taylor]: Taking taylor expansion of im in re 1.336 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.336 * [taylor]: Taking taylor expansion of re in re 1.337 * [taylor]: Taking taylor expansion of 2 in im 1.337 * [taylor]: Taking taylor expansion of 0 in im 1.340 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.340 * [taylor]: Taking taylor expansion of 1/2 in im 1.340 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.340 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.340 * [taylor]: Taking taylor expansion of im in im 1.345 * [taylor]: Taking taylor expansion of 0 in im 1.347 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 1.347 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.347 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.347 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.347 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.347 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.347 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.347 * [taylor]: Taking taylor expansion of -1 in im 1.347 * [taylor]: Taking taylor expansion of re in im 1.347 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.347 * [taylor]: Taking taylor expansion of -1 in im 1.347 * [taylor]: Taking taylor expansion of re in im 1.347 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.347 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.347 * [taylor]: Taking taylor expansion of -1 in im 1.347 * [taylor]: Taking taylor expansion of im in im 1.347 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.347 * [taylor]: Taking taylor expansion of -1 in im 1.347 * [taylor]: Taking taylor expansion of im in im 1.350 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.350 * [taylor]: Taking taylor expansion of re in im 1.350 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.350 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.350 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.350 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.350 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.350 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.350 * [taylor]: Taking taylor expansion of -1 in re 1.350 * [taylor]: Taking taylor expansion of re in re 1.350 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.351 * [taylor]: Taking taylor expansion of -1 in re 1.351 * [taylor]: Taking taylor expansion of re in re 1.351 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.351 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.351 * [taylor]: Taking taylor expansion of -1 in re 1.351 * [taylor]: Taking taylor expansion of im in re 1.351 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.351 * [taylor]: Taking taylor expansion of -1 in re 1.351 * [taylor]: Taking taylor expansion of im in re 1.353 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.353 * [taylor]: Taking taylor expansion of re in re 1.354 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.354 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.354 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.354 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.354 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.354 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.354 * [taylor]: Taking taylor expansion of -1 in re 1.354 * [taylor]: Taking taylor expansion of re in re 1.354 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.354 * [taylor]: Taking taylor expansion of -1 in re 1.354 * [taylor]: Taking taylor expansion of re in re 1.354 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.354 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.354 * [taylor]: Taking taylor expansion of -1 in re 1.354 * [taylor]: Taking taylor expansion of im in re 1.355 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.355 * [taylor]: Taking taylor expansion of -1 in re 1.355 * [taylor]: Taking taylor expansion of im in re 1.357 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.357 * [taylor]: Taking taylor expansion of re in re 1.358 * [taylor]: Taking taylor expansion of 0 in im 1.359 * [taylor]: Taking taylor expansion of 0 in im 1.362 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.362 * [taylor]: Taking taylor expansion of 1/2 in im 1.362 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.362 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.362 * [taylor]: Taking taylor expansion of im in im 1.366 * [taylor]: Taking taylor expansion of 0 in im 1.368 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 2 2) 1.368 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 1.368 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.368 * [taylor]: Taking taylor expansion of re in im 1.368 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.368 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.368 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.368 * [taylor]: Taking taylor expansion of (* re re) in im 1.368 * [taylor]: Taking taylor expansion of re in im 1.368 * [taylor]: Taking taylor expansion of re in im 1.368 * [taylor]: Taking taylor expansion of (* im im) in im 1.368 * [taylor]: Taking taylor expansion of im in im 1.368 * [taylor]: Taking taylor expansion of im in im 1.369 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.369 * [taylor]: Taking taylor expansion of re in re 1.369 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.370 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.370 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.370 * [taylor]: Taking taylor expansion of (* re re) in re 1.370 * [taylor]: Taking taylor expansion of re in re 1.370 * [taylor]: Taking taylor expansion of re in re 1.370 * [taylor]: Taking taylor expansion of (* im im) in re 1.370 * [taylor]: Taking taylor expansion of im in re 1.370 * [taylor]: Taking taylor expansion of im in re 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 1.378 * [taylor]: Taking taylor expansion of im in im 1.378 * [taylor]: Taking taylor expansion of 1 in im 1.380 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.380 * [taylor]: Taking taylor expansion of 1/2 in im 1.380 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.380 * [taylor]: Taking taylor expansion of im in im 1.382 * [taylor]: Taking taylor expansion of 0 in im 1.384 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 1.384 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.384 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.384 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.384 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.384 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.384 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.384 * [taylor]: Taking taylor expansion of re in im 1.384 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.384 * [taylor]: Taking taylor expansion of re in im 1.384 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.384 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.384 * [taylor]: Taking taylor expansion of im in im 1.384 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.384 * [taylor]: Taking taylor expansion of im in im 1.387 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.387 * [taylor]: Taking taylor expansion of re in im 1.387 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 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 1.387 * [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 (* (/ 1 im) (/ 1 im)) in re 1.387 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.387 * [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 1.390 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.390 * [taylor]: Taking taylor expansion of re in re 1.390 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.390 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.390 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.390 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.390 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.390 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.390 * [taylor]: Taking taylor expansion of re in re 1.391 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.391 * [taylor]: Taking taylor expansion of re in re 1.391 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.391 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.391 * [taylor]: Taking taylor expansion of im in re 1.391 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.391 * [taylor]: Taking taylor expansion of im in re 1.394 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.394 * [taylor]: Taking taylor expansion of re in re 1.394 * [taylor]: Taking taylor expansion of 2 in im 1.395 * [taylor]: Taking taylor expansion of 0 in im 1.398 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.398 * [taylor]: Taking taylor expansion of 1/2 in im 1.398 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.398 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.398 * [taylor]: Taking taylor expansion of im in im 1.402 * [taylor]: Taking taylor expansion of 0 in im 1.404 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 1.404 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.404 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.404 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.404 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.404 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.404 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.404 * [taylor]: Taking taylor expansion of -1 in im 1.404 * [taylor]: Taking taylor expansion of re in im 1.404 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.404 * [taylor]: Taking taylor expansion of -1 in im 1.404 * [taylor]: Taking taylor expansion of re in im 1.404 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.404 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.404 * [taylor]: Taking taylor expansion of -1 in im 1.404 * [taylor]: Taking taylor expansion of im in im 1.404 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.404 * [taylor]: Taking taylor expansion of -1 in im 1.404 * [taylor]: Taking taylor expansion of im in im 1.407 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.407 * [taylor]: Taking taylor expansion of re in im 1.407 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.407 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.407 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.407 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.407 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.407 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.407 * [taylor]: Taking taylor expansion of -1 in re 1.407 * [taylor]: Taking taylor expansion of re in re 1.408 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.408 * [taylor]: Taking taylor expansion of -1 in re 1.408 * [taylor]: Taking taylor expansion of re in re 1.408 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.408 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.408 * [taylor]: Taking taylor expansion of -1 in re 1.408 * [taylor]: Taking taylor expansion of im in re 1.408 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.408 * [taylor]: Taking taylor expansion of -1 in re 1.408 * [taylor]: Taking taylor expansion of im in re 1.410 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.410 * [taylor]: Taking taylor expansion of re in re 1.411 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.411 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.411 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.411 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.411 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.411 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.411 * [taylor]: Taking taylor expansion of -1 in re 1.411 * [taylor]: Taking taylor expansion of re in re 1.411 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.411 * [taylor]: Taking taylor expansion of -1 in re 1.411 * [taylor]: Taking taylor expansion of re in re 1.411 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.411 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.412 * [taylor]: Taking taylor expansion of -1 in re 1.412 * [taylor]: Taking taylor expansion of im in re 1.412 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.412 * [taylor]: Taking taylor expansion of -1 in re 1.412 * [taylor]: Taking taylor expansion of im in re 1.414 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.414 * [taylor]: Taking taylor expansion of re in re 1.415 * [taylor]: Taking taylor expansion of 0 in im 1.416 * [taylor]: Taking taylor expansion of 0 in im 1.419 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.419 * [taylor]: Taking taylor expansion of 1/2 in im 1.419 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.419 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.419 * [taylor]: Taking taylor expansion of im in im 1.424 * [taylor]: Taking taylor expansion of 0 in im 1.425 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.425 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0 1.425 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im 1.425 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 1.425 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.425 * [taylor]: Taking taylor expansion of re in im 1.425 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.426 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.426 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.426 * [taylor]: Taking taylor expansion of (* re re) in im 1.426 * [taylor]: Taking taylor expansion of re in im 1.426 * [taylor]: Taking taylor expansion of re in im 1.426 * [taylor]: Taking taylor expansion of (* im im) in im 1.426 * [taylor]: Taking taylor expansion of im in im 1.426 * [taylor]: Taking taylor expansion of im in im 1.427 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.427 * [taylor]: Taking taylor expansion of 2.0 in im 1.428 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 1.428 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 1.428 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.428 * [taylor]: Taking taylor expansion of re in re 1.428 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.428 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.428 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.428 * [taylor]: Taking taylor expansion of (* re re) in re 1.428 * [taylor]: Taking taylor expansion of re in re 1.428 * [taylor]: Taking taylor expansion of re in re 1.428 * [taylor]: Taking taylor expansion of (* im im) in re 1.428 * [taylor]: Taking taylor expansion of im in re 1.428 * [taylor]: Taking taylor expansion of im in re 1.429 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.429 * [taylor]: Taking taylor expansion of 2.0 in re 1.430 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 1.430 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 1.430 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.430 * [taylor]: Taking taylor expansion of re in re 1.430 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.430 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.430 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.430 * [taylor]: Taking taylor expansion of (* re re) in re 1.430 * [taylor]: Taking taylor expansion of re in re 1.430 * [taylor]: Taking taylor expansion of re in re 1.430 * [taylor]: Taking taylor expansion of (* im im) in re 1.430 * [taylor]: Taking taylor expansion of im in re 1.430 * [taylor]: Taking taylor expansion of im in re 1.432 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.432 * [taylor]: Taking taylor expansion of 2.0 in re 1.433 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 1.433 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.433 * [taylor]: Taking taylor expansion of 2.0 in im 1.433 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.433 * [taylor]: Taking taylor expansion of im in im 1.435 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 1.435 * [taylor]: Taking taylor expansion of 1/2 in im 1.435 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 1.435 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.435 * [taylor]: Taking taylor expansion of 2.0 in im 1.436 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.436 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.436 * [taylor]: Taking taylor expansion of im in im 1.446 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 1.447 * [taylor]: Taking taylor expansion of 1/8 in im 1.447 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 1.447 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.447 * [taylor]: Taking taylor expansion of 2.0 in im 1.447 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 1.447 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 1.447 * [taylor]: Taking taylor expansion of (pow im 3) in im 1.447 * [taylor]: Taking taylor expansion of im in im 1.462 * [approximate]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 1.462 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im 1.462 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 1.462 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.462 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.462 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.462 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.462 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.462 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.462 * [taylor]: Taking taylor expansion of re in im 1.462 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.462 * [taylor]: Taking taylor expansion of re in im 1.462 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.462 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.462 * [taylor]: Taking taylor expansion of im in im 1.463 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.463 * [taylor]: Taking taylor expansion of im in im 1.471 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.471 * [taylor]: Taking taylor expansion of re in im 1.473 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.473 * [taylor]: Taking taylor expansion of 2.0 in im 1.473 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 1.473 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.473 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.473 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.474 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.474 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.474 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.474 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.474 * [taylor]: Taking taylor expansion of re in re 1.474 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.474 * [taylor]: Taking taylor expansion of re in re 1.474 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.474 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.474 * [taylor]: Taking taylor expansion of im in re 1.474 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.474 * [taylor]: Taking taylor expansion of im in re 1.477 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.477 * [taylor]: Taking taylor expansion of re in re 1.478 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.478 * [taylor]: Taking taylor expansion of 2.0 in re 1.478 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 1.479 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.479 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.479 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.479 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.479 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.479 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.479 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.479 * [taylor]: Taking taylor expansion of re in re 1.479 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.479 * [taylor]: Taking taylor expansion of re in re 1.479 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.479 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.479 * [taylor]: Taking taylor expansion of im in re 1.479 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.479 * [taylor]: Taking taylor expansion of im in re 1.482 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.482 * [taylor]: Taking taylor expansion of re in re 1.483 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.483 * [taylor]: Taking taylor expansion of 2.0 in re 1.484 * [taylor]: Taking taylor expansion of 0 in im 1.485 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.485 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.485 * [taylor]: Taking taylor expansion of +nan.0 in im 1.485 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.485 * [taylor]: Taking taylor expansion of 2.0 in im 1.491 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.491 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.491 * [taylor]: Taking taylor expansion of +nan.0 in im 1.491 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.491 * [taylor]: Taking taylor expansion of 2.0 in im 1.500 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 1.500 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 1.500 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.500 * [taylor]: Taking taylor expansion of +nan.0 in im 1.500 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.500 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.500 * [taylor]: Taking taylor expansion of 2.0 in im 1.501 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.501 * [taylor]: Taking taylor expansion of im in im 1.502 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.502 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.502 * [taylor]: Taking taylor expansion of +nan.0 in im 1.502 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.502 * [taylor]: Taking taylor expansion of 2.0 in im 1.513 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 1.513 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 1.513 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.513 * [taylor]: Taking taylor expansion of +nan.0 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 1.514 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.514 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.514 * [taylor]: Taking taylor expansion of +nan.0 in im 1.514 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.514 * [taylor]: Taking taylor expansion of 2.0 in im 1.527 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 1.527 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 1.527 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.527 * [taylor]: Taking taylor expansion of 2.0 in im 1.528 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 1.528 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.528 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.528 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.528 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.528 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.528 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.528 * [taylor]: Taking taylor expansion of -1 in im 1.528 * [taylor]: Taking taylor expansion of re in im 1.528 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.528 * [taylor]: Taking taylor expansion of -1 in im 1.528 * [taylor]: Taking taylor expansion of re in im 1.528 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.528 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.528 * [taylor]: Taking taylor expansion of -1 in im 1.528 * [taylor]: Taking taylor expansion of im in im 1.528 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.528 * [taylor]: Taking taylor expansion of -1 in im 1.528 * [taylor]: Taking taylor expansion of im in im 1.531 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.531 * [taylor]: Taking taylor expansion of re in im 1.532 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 1.532 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.532 * [taylor]: Taking taylor expansion of 2.0 in re 1.533 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.533 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.533 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.533 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.533 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.533 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.533 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.533 * [taylor]: Taking taylor expansion of -1 in re 1.533 * [taylor]: Taking taylor expansion of re in re 1.533 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.533 * [taylor]: Taking taylor expansion of -1 in re 1.534 * [taylor]: Taking taylor expansion of re in re 1.534 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.534 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.534 * [taylor]: Taking taylor expansion of -1 in re 1.534 * [taylor]: Taking taylor expansion of im in re 1.534 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.534 * [taylor]: Taking taylor expansion of -1 in re 1.534 * [taylor]: Taking taylor expansion of im in re 1.536 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.536 * [taylor]: Taking taylor expansion of re in re 1.541 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 1.542 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.542 * [taylor]: Taking taylor expansion of 2.0 in re 1.542 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.542 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.542 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.543 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.543 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.543 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.543 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.543 * [taylor]: Taking taylor expansion of -1 in re 1.543 * [taylor]: Taking taylor expansion of re in re 1.543 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.543 * [taylor]: Taking taylor expansion of -1 in re 1.543 * [taylor]: Taking taylor expansion of re in re 1.543 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.543 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.543 * [taylor]: Taking taylor expansion of -1 in re 1.543 * [taylor]: Taking taylor expansion of im in re 1.543 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.543 * [taylor]: Taking taylor expansion of -1 in re 1.543 * [taylor]: Taking taylor expansion of im in re 1.546 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.546 * [taylor]: Taking taylor expansion of re in re 1.551 * [taylor]: Taking taylor expansion of 0 in im 1.552 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 1.552 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.552 * [taylor]: Taking taylor expansion of +nan.0 in im 1.552 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.552 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.552 * [taylor]: Taking taylor expansion of 2.0 in im 1.553 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.553 * [taylor]: Taking taylor expansion of im in im 1.566 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 1.567 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.567 * [taylor]: Taking taylor expansion of +nan.0 in im 1.567 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.567 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.567 * [taylor]: Taking taylor expansion of 2.0 in im 1.567 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.567 * [taylor]: Taking taylor expansion of im in im 1.583 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 1.583 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 1.583 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.583 * [taylor]: Taking taylor expansion of +nan.0 in im 1.583 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.583 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.583 * [taylor]: Taking taylor expansion of 2.0 in im 1.584 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.584 * [taylor]: Taking taylor expansion of im in im 1.585 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 1.585 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 1.585 * [taylor]: Taking taylor expansion of +nan.0 in im 1.585 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 1.585 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.585 * [taylor]: Taking taylor expansion of 2.0 in im 1.586 * [taylor]: Taking taylor expansion of (pow im 6) in im 1.586 * [taylor]: Taking taylor expansion of im in im 1.608 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 1.608 * [approximate]: Taking taylor expansion of (* (pow (+ re (hypot re im)) 1/4) (sqrt (sqrt 2.0))) in (re im) around 0 1.608 * [taylor]: Taking taylor expansion of (* (pow (+ re (hypot re im)) 1/4) (sqrt (sqrt 2.0))) in im 1.608 * [taylor]: Taking taylor expansion of (pow (+ re (hypot re im)) 1/4) in im 1.608 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ re (hypot re im))))) in im 1.608 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ re (hypot re im)))) in im 1.608 * [taylor]: Taking taylor expansion of 1/4 in im 1.608 * [taylor]: Taking taylor expansion of (log (+ re (hypot re im))) in im 1.608 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.608 * [taylor]: Taking taylor expansion of re in im 1.608 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.608 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.608 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.608 * [taylor]: Taking taylor expansion of (* re re) in im 1.608 * [taylor]: Taking taylor expansion of re in im 1.608 * [taylor]: Taking taylor expansion of re in im 1.608 * [taylor]: Taking taylor expansion of (* im im) in im 1.608 * [taylor]: Taking taylor expansion of im in im 1.608 * [taylor]: Taking taylor expansion of im in im 1.610 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 1.610 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.610 * [taylor]: Taking taylor expansion of 2.0 in im 1.611 * [taylor]: Taking taylor expansion of (* (pow (+ re (hypot re im)) 1/4) (sqrt (sqrt 2.0))) in re 1.611 * [taylor]: Taking taylor expansion of (pow (+ re (hypot re im)) 1/4) in re 1.611 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ re (hypot re im))))) in re 1.611 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ re (hypot re im)))) in re 1.611 * [taylor]: Taking taylor expansion of 1/4 in re 1.611 * [taylor]: Taking taylor expansion of (log (+ re (hypot re im))) in re 1.611 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.611 * [taylor]: Taking taylor expansion of re in re 1.611 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.611 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.611 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.611 * [taylor]: Taking taylor expansion of (* re re) in re 1.611 * [taylor]: Taking taylor expansion of re in re 1.612 * [taylor]: Taking taylor expansion of re in re 1.612 * [taylor]: Taking taylor expansion of (* im im) in re 1.612 * [taylor]: Taking taylor expansion of im in re 1.612 * [taylor]: Taking taylor expansion of im in re 1.613 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in re 1.613 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.613 * [taylor]: Taking taylor expansion of 2.0 in re 1.614 * [taylor]: Taking taylor expansion of (* (pow (+ re (hypot re im)) 1/4) (sqrt (sqrt 2.0))) in re 1.614 * [taylor]: Taking taylor expansion of (pow (+ re (hypot re im)) 1/4) in re 1.614 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ re (hypot re im))))) in re 1.614 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ re (hypot re im)))) in re 1.614 * [taylor]: Taking taylor expansion of 1/4 in re 1.614 * [taylor]: Taking taylor expansion of (log (+ re (hypot re im))) in re 1.614 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.614 * [taylor]: Taking taylor expansion of re in re 1.614 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.615 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.615 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.615 * [taylor]: Taking taylor expansion of (* re re) in re 1.615 * [taylor]: Taking taylor expansion of re in re 1.615 * [taylor]: Taking taylor expansion of re in re 1.615 * [taylor]: Taking taylor expansion of (* im im) in re 1.615 * [taylor]: Taking taylor expansion of im in re 1.615 * [taylor]: Taking taylor expansion of im in re 1.616 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in re 1.616 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.616 * [taylor]: Taking taylor expansion of 2.0 in re 1.618 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (pow im 1/4)) in im 1.618 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 1.618 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.618 * [taylor]: Taking taylor expansion of 2.0 in im 1.620 * [taylor]: Taking taylor expansion of (pow im 1/4) in im 1.620 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log im))) in im 1.620 * [taylor]: Taking taylor expansion of (* 1/4 (log im)) in im 1.620 * [taylor]: Taking taylor expansion of 1/4 in im 1.620 * [taylor]: Taking taylor expansion of (log im) in im 1.620 * [taylor]: Taking taylor expansion of im in im 1.623 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (sqrt 2.0)) (pow (/ 1 (pow im 3)) 1/4))) in im 1.623 * [taylor]: Taking taylor expansion of 1/4 in im 1.623 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (pow (/ 1 (pow im 3)) 1/4)) in im 1.623 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 1.623 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.623 * [taylor]: Taking taylor expansion of 2.0 in im 1.625 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 3)) 1/4) in im 1.625 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow im 3))))) in im 1.625 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow im 3)))) in im 1.625 * [taylor]: Taking taylor expansion of 1/4 in im 1.625 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 3))) in im 1.625 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 1.625 * [taylor]: Taking taylor expansion of (pow im 3) in im 1.625 * [taylor]: Taking taylor expansion of im in im 1.635 * [taylor]: Taking taylor expansion of (* 1/32 (* (sqrt (sqrt 2.0)) (pow (/ 1 (pow im 7)) 1/4))) in im 1.635 * [taylor]: Taking taylor expansion of 1/32 in im 1.635 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (pow (/ 1 (pow im 7)) 1/4)) in im 1.635 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 1.635 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.635 * [taylor]: Taking taylor expansion of 2.0 in im 1.637 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 7)) 1/4) in im 1.637 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow im 7))))) in im 1.637 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow im 7)))) in im 1.637 * [taylor]: Taking taylor expansion of 1/4 in im 1.637 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 7))) in im 1.637 * [taylor]: Taking taylor expansion of (/ 1 (pow im 7)) in im 1.637 * [taylor]: Taking taylor expansion of (pow im 7) in im 1.637 * [taylor]: Taking taylor expansion of im in im 1.642 * [approximate]: Taking taylor expansion of (* (pow (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/4) (sqrt (sqrt 2.0))) in (re im) around 0 1.642 * [taylor]: Taking taylor expansion of (* (pow (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/4) (sqrt (sqrt 2.0))) in im 1.643 * [taylor]: Taking taylor expansion of (pow (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/4) in im 1.643 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))))) in im 1.643 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in im 1.643 * [taylor]: Taking taylor expansion of 1/4 in im 1.643 * [taylor]: Taking taylor expansion of (log (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 1.643 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.643 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 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 im 1.643 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.643 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.643 * [taylor]: Taking taylor expansion of re in im 1.643 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.643 * [taylor]: Taking taylor expansion of re in im 1.643 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.643 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.643 * [taylor]: Taking taylor expansion of im in im 1.643 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.643 * [taylor]: Taking taylor expansion of im in im 1.646 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.646 * [taylor]: Taking taylor expansion of re in im 1.647 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 1.647 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.647 * [taylor]: Taking taylor expansion of 2.0 in im 1.648 * [taylor]: Taking taylor expansion of (* (pow (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/4) (sqrt (sqrt 2.0))) in re 1.648 * [taylor]: Taking taylor expansion of (pow (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/4) in re 1.648 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))))) in re 1.648 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in re 1.648 * [taylor]: Taking taylor expansion of 1/4 in re 1.648 * [taylor]: Taking taylor expansion of (log (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.648 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.648 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.649 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.649 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.649 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.649 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.649 * [taylor]: Taking taylor expansion of re in re 1.649 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.649 * [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 im in re 1.655 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.656 * [taylor]: Taking taylor expansion of im in re 1.658 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.658 * [taylor]: Taking taylor expansion of re in re 1.660 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in re 1.660 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.660 * [taylor]: Taking taylor expansion of 2.0 in re 1.661 * [taylor]: Taking taylor expansion of (* (pow (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/4) (sqrt (sqrt 2.0))) in re 1.661 * [taylor]: Taking taylor expansion of (pow (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/4) in re 1.661 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))))) in re 1.661 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in re 1.661 * [taylor]: Taking taylor expansion of 1/4 in re 1.661 * [taylor]: Taking taylor expansion of (log (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.661 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.661 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.662 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.662 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.662 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.662 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.662 * [taylor]: Taking taylor expansion of re in re 1.662 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.662 * [taylor]: Taking taylor expansion of re in re 1.662 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.662 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.662 * [taylor]: Taking taylor expansion of im in re 1.662 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.662 * [taylor]: Taking taylor expansion of im in re 1.665 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.665 * [taylor]: Taking taylor expansion of re in re 1.666 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in re 1.666 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.666 * [taylor]: Taking taylor expansion of 2.0 in re 1.669 * [taylor]: Taking taylor expansion of (* (exp (* 1/4 (- (log 2) (log re)))) (sqrt (sqrt 2.0))) in im 1.669 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log 2) (log re)))) in im 1.669 * [taylor]: Taking taylor expansion of (* 1/4 (- (log 2) (log re))) in im 1.669 * [taylor]: Taking taylor expansion of 1/4 in im 1.669 * [taylor]: Taking taylor expansion of (- (log 2) (log re)) in im 1.669 * [taylor]: Taking taylor expansion of (log 2) in im 1.669 * [taylor]: Taking taylor expansion of 2 in im 1.669 * [taylor]: Taking taylor expansion of (log re) in im 1.669 * [taylor]: Taking taylor expansion of re in im 1.670 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 1.670 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.670 * [taylor]: Taking taylor expansion of 2.0 in im 1.677 * [taylor]: Taking taylor expansion of 0 in im 1.689 * [taylor]: Taking taylor expansion of (* 1/16 (* (/ (exp (* 1/4 (- (log 2) (log re)))) (pow im 2)) (sqrt (sqrt 2.0)))) in im 1.689 * [taylor]: Taking taylor expansion of 1/16 in im 1.689 * [taylor]: Taking taylor expansion of (* (/ (exp (* 1/4 (- (log 2) (log re)))) (pow im 2)) (sqrt (sqrt 2.0))) in im 1.689 * [taylor]: Taking taylor expansion of (/ (exp (* 1/4 (- (log 2) (log re)))) (pow im 2)) in im 1.689 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log 2) (log re)))) in im 1.689 * [taylor]: Taking taylor expansion of (* 1/4 (- (log 2) (log re))) in im 1.689 * [taylor]: Taking taylor expansion of 1/4 in im 1.689 * [taylor]: Taking taylor expansion of (- (log 2) (log re)) in im 1.689 * [taylor]: Taking taylor expansion of (log 2) in im 1.689 * [taylor]: Taking taylor expansion of 2 in im 1.689 * [taylor]: Taking taylor expansion of (log re) in im 1.689 * [taylor]: Taking taylor expansion of re in im 1.690 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.690 * [taylor]: Taking taylor expansion of im in im 1.690 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) 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 1.723 * [taylor]: Taking taylor expansion of 0 in im 1.724 * [approximate]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/4)) in (re im) around 0 1.724 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/4)) in im 1.724 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 1.724 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.724 * [taylor]: Taking taylor expansion of 2.0 in im 1.726 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/4) in im 1.726 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in im 1.726 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 1.726 * [taylor]: Taking taylor expansion of 1/4 in im 1.726 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 1.726 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.726 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.726 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.726 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.726 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.726 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.726 * [taylor]: Taking taylor expansion of -1 in im 1.726 * [taylor]: Taking taylor expansion of re in im 1.726 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.726 * [taylor]: Taking taylor expansion of -1 in im 1.726 * [taylor]: Taking taylor expansion of re in im 1.726 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.726 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.726 * [taylor]: Taking taylor expansion of -1 in im 1.726 * [taylor]: Taking taylor expansion of im in im 1.726 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.726 * [taylor]: Taking taylor expansion of -1 in im 1.727 * [taylor]: Taking taylor expansion of im in im 1.729 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.729 * [taylor]: Taking taylor expansion of re in im 1.730 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/4)) in re 1.730 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in re 1.730 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.730 * [taylor]: Taking taylor expansion of 2.0 in re 1.732 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/4) in re 1.732 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in re 1.732 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 1.732 * [taylor]: Taking taylor expansion of 1/4 in re 1.732 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.732 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.732 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.732 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.732 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.732 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.732 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.732 * [taylor]: Taking taylor expansion of -1 in re 1.732 * [taylor]: Taking taylor expansion of re in re 1.732 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.732 * [taylor]: Taking taylor expansion of -1 in re 1.732 * [taylor]: Taking taylor expansion of re in re 1.732 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.732 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.732 * [taylor]: Taking taylor expansion of -1 in re 1.732 * [taylor]: Taking taylor expansion of im in re 1.732 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.733 * [taylor]: Taking taylor expansion of -1 in re 1.733 * [taylor]: Taking taylor expansion of im in re 1.735 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.735 * [taylor]: Taking taylor expansion of re in re 1.740 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/4)) in re 1.740 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in re 1.740 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.740 * [taylor]: Taking taylor expansion of 2.0 in re 1.742 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/4) in re 1.742 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in re 1.742 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 1.742 * [taylor]: Taking taylor expansion of 1/4 in re 1.742 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.742 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.742 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.742 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.742 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.742 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.742 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.742 * [taylor]: Taking taylor expansion of -1 in re 1.742 * [taylor]: Taking taylor expansion of re in re 1.742 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.742 * [taylor]: Taking taylor expansion of -1 in re 1.742 * [taylor]: Taking taylor expansion of re in re 1.749 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.749 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.749 * [taylor]: Taking taylor expansion of -1 in re 1.749 * [taylor]: Taking taylor expansion of im in re 1.749 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.749 * [taylor]: Taking taylor expansion of -1 in re 1.749 * [taylor]: Taking taylor expansion of im in re 1.752 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.752 * [taylor]: Taking taylor expansion of re in re 1.758 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (exp (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re))))) in im 1.758 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 1.758 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.758 * [taylor]: Taking taylor expansion of 2.0 in im 1.760 * [taylor]: Taking taylor expansion of (exp (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re)))) in im 1.760 * [taylor]: Taking taylor expansion of (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re))) in im 1.760 * [taylor]: Taking taylor expansion of 1/4 in im 1.760 * [taylor]: Taking taylor expansion of (+ (log (/ 1/2 (pow im 2))) (log re)) in im 1.760 * [taylor]: Taking taylor expansion of (log (/ 1/2 (pow im 2))) in im 1.760 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.760 * [taylor]: Taking taylor expansion of 1/2 in im 1.760 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.760 * [taylor]: Taking taylor expansion of im in im 1.760 * [taylor]: Taking taylor expansion of (log re) in im 1.760 * [taylor]: Taking taylor expansion of re in im 1.769 * [taylor]: Taking taylor expansion of 0 in im 1.782 * [taylor]: Taking taylor expansion of (- (* 1/16 (* (sqrt (sqrt 2.0)) (/ (exp (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re)))) (pow im 2))))) in im 1.782 * [taylor]: Taking taylor expansion of (* 1/16 (* (sqrt (sqrt 2.0)) (/ (exp (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re)))) (pow im 2)))) in im 1.782 * [taylor]: Taking taylor expansion of 1/16 in im 1.782 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (/ (exp (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re)))) (pow im 2))) in im 1.782 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 1.782 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.782 * [taylor]: Taking taylor expansion of 2.0 in im 1.783 * [taylor]: Taking taylor expansion of (/ (exp (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re)))) (pow im 2)) in im 1.783 * [taylor]: Taking taylor expansion of (exp (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re)))) in im 1.783 * [taylor]: Taking taylor expansion of (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re))) in im 1.783 * [taylor]: Taking taylor expansion of 1/4 in im 1.783 * [taylor]: Taking taylor expansion of (+ (log (/ 1/2 (pow im 2))) (log re)) in im 1.783 * [taylor]: Taking taylor expansion of (log (/ 1/2 (pow im 2))) in im 1.783 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.783 * [taylor]: Taking taylor expansion of 1/2 in im 1.783 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.783 * [taylor]: Taking taylor expansion of im in im 1.784 * [taylor]: Taking taylor expansion of (log re) in im 1.784 * [taylor]: Taking taylor expansion of re in im 1.786 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.786 * [taylor]: Taking taylor expansion of im in im 1.821 * [taylor]: Taking taylor expansion of 0 in im 1.822 * * * [progress]: simplifying candidates 1.824 * [simplify]: Simplifying using # : (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (* (exp re) (exp (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (* (* (+ re (hypot re im)) (+ re (hypot re im))) (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im)))) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (* (exp re) (exp (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (* (* (+ re (hypot re im)) (+ re (hypot re im))) (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im)))) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (expm1 (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (log1p (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (* (sqrt (* 2.0 (* 1 (+ re (hypot re im))))) (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (* (* 2.0 (* 1 (+ re (hypot re im)))) (* 2.0 (* 1 (+ re (hypot re im))))) (* (sqrt (* 2.0 (* 1 (+ re (hypot re im))))) (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (* (* 2.0 (* 1 (+ re (hypot re im)))) (* 2.0 (* 1 (+ re (hypot re im))))) (* (* 2.0 (* 1 (+ re (hypot re im)))) (* 2.0 (* 1 (+ re (hypot re im))))) (* (* 2.0 (* 1 (+ re (hypot re im)))) (* 2.0 (* 1 (+ re (hypot re im))))) (* (* 2.0 (* 1 (+ re (hypot re im)))) (* 2.0 (* 1 (+ re (hypot re im))))) (* (* 2.0 (* 1 (+ re (hypot re im)))) (* 2.0 (* 1 (+ re (hypot re im))))) (* (* 2.0 (* 1 (+ re (hypot re im)))) (* 2.0 (* 1 (+ re (hypot re im))))) (* (* 2.0 (* 1 (+ re (hypot re im)))) (* 2.0 (* 1 (+ re (hypot re im))))) (* (* 2.0 (* 1 (+ re (hypot re im)))) (* 2.0 (* 1 (+ re (hypot re im))))) (* (* 2.0 (* 1 (+ re (hypot re im)))) (* 2.0 (* 1 (+ re (hypot re im))))) (+ 1 1) (+ (log (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (log (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (log (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (exp (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (* (* (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (* (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (* (cbrt (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (cbrt (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))))) (cbrt (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (* (* (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (* (sqrt (* 2.0 (* 1 (+ re (hypot re im))))) (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (sqrt (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (* (sqrt (sqrt (* 2.0 (* 1 (+ (pow re 3) (pow (hypot re im) 3)))))) (sqrt (sqrt (* 2.0 (* 1 (+ (pow re 3) (pow (hypot re im) 3))))))) (* (sqrt (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im)))))) (sqrt (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))))) (* (sqrt (sqrt (* 2.0 (* 1 (+ (pow re 3) (pow (hypot re im) 3)))))) (sqrt (sqrt (* 2.0 (* 1 (- (* re re) (* (hypot re im) (hypot re im)))))))) (* (sqrt (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im)))))) (sqrt (sqrt (- re (hypot re im))))) (* (sqrt (sqrt (* 2.0 (* 1 (- (* re re) (* (hypot re im) (hypot re im))))))) (sqrt (sqrt (* 2.0 (* 1 (+ (pow re 3) (pow (hypot re im) 3))))))) (* (sqrt (sqrt (- re (hypot re im)))) (sqrt (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))))) (* (sqrt (sqrt (* 2.0 (* 1 (- (* re re) (* (hypot re im) (hypot re im))))))) (sqrt (sqrt (* 2.0 (* 1 (- (* re re) (* (hypot re im) (hypot re im)))))))) (* (sqrt (sqrt (- re (hypot re im)))) (sqrt (sqrt (- re (hypot re im))))) (* (* (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (* (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))))) (* (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (* (sqrt (* (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (sqrt (* (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))))) (* (sqrt (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (sqrt (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (* 1 (+ re (hypot re im))))) (sqrt (sqrt (* 1 (+ re (hypot re im)))))) (* (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (* (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (* (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (* (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (* (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (* (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (* (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (* (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (* 1 1) (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (* (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (* (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (* (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (* (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (* (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (* (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (* (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (* (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (* 2 1/2) (* 2 1) (* 2 (/ 1/2 2)) (* 2 (/ 1 2)) (* 2 (/ (/ 1 2) 2)) (* 2 (/ (/ 1 2) 2)) (* 2 (/ (/ 1 2) 2)) (* 2 (/ (/ 1 2) 2)) (* 2 (/ (/ 1 2) 2)) (* 2 (/ (/ 1 2) 2)) (* 2 (/ (/ 1 2) 2)) (* 2 (/ (/ 1 2) 2)) (* 2 (/ (/ 1 2) 2)) (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (* (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))))) (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (* (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))))) (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt 1)) (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (* (sqrt (sqrt (* 2.0 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1/2 2) (/ 1 2) (/ (/ 1 2) 2) (/ (/ 1 2) 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (* h2 (* 1 (+ h0 (hypot h0 h1))))))) (sqrt (sqrt (sqrt (* h2 (* 1 (+ h0 (hypot h0 h1))))))) (+ h0 h1) (* 2 h0) 0 (+ h0 h1) (* 2 h0) 0 (- (+ (* h3 (* (sqrt h2) (pow h0 2))) (- (+ (* h3 (* (sqrt h2) h1)) (- (* h3 (* (sqrt h2) h0))))))) (- (+ (* h3 (sqrt h2)) (- (+ (* h3 (/ (sqrt h2) (pow h0 2))) (- (* h3 (/ (sqrt h2) h0))))))) 0 (+ (* 1/32 (* (sqrt (sqrt h2)) (* (pow (/ 1 (pow h1 7)) 1/4) (pow h0 2)))) (+ (* 1/4 (* (sqrt (sqrt h2)) (* (pow (/ 1 (pow h1 3)) 1/4) h0))) (* (sqrt (sqrt h2)) (pow h1 1/4)))) (* (sqrt (sqrt h2)) (exp (* 1/4 (- (log 2) (log (/ 1 h0)))))) (* (sqrt (sqrt h2)) (exp (* 1/4 (- (+ (log (/ -1 h0)) (log 1/2)) (* 2 (log (/ -1 h1))))))) 1.833 * * [simplify]: iteration 0 : 408 enodes (cost 1059 ) 1.841 * * [simplify]: iteration 1 : 1919 enodes (cost 954 ) 1.881 * * [simplify]: iteration 2 : 5001 enodes (cost 921 ) 1.892 * [simplify]: Simplified to: (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (exp (+ re (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (pow (+ re (hypot re im)) 3) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (fma (hypot re im) (- (hypot re im) re) (pow re 2)) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (exp (+ re (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (pow (+ re (hypot re im)) 3) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (fma (hypot re im) (- (hypot re im) re) (pow re 2)) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (expm1 (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (log1p (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) 1 1 2 1/2 1/2 1/2 1/2 1 1 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 (* (+ re (hypot re im)) 2.0) (sqrt (* 2.0 (* 1 (+ re (hypot re im))))) (pow (sqrt (* 2.0 (* 1 (+ re (hypot re im))))) 4) (* (+ re (hypot re im)) 2.0) (pow (sqrt (* 2.0 (* 1 (+ re (hypot re im))))) 4) (pow (sqrt (* 2.0 (* 1 (+ re (hypot re im))))) 4) (pow (sqrt (* 2.0 (* 1 (+ re (hypot re im))))) 4) (pow (sqrt (* 2.0 (* 1 (+ re (hypot re im))))) 4) (pow (sqrt (* 2.0 (* 1 (+ re (hypot re im))))) 4) (pow (sqrt (* 2.0 (* 1 (+ re (hypot re im))))) 4) (pow (sqrt (* 2.0 (* 1 (+ re (hypot re im))))) 4) (pow (sqrt (* 2.0 (* 1 (+ re (hypot re im))))) 4) (pow (sqrt (* 2.0 (* 1 (+ re (hypot re im))))) 4) 2 (* 2 (log (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (* 2 (log (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (pow (exp 1) (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (pow (sqrt (* 2.0 (* 1 (+ re (hypot re im))))) 3) (* (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (pow (sqrt (* 2.0 (* 1 (+ re (hypot re im))))) 3) (* (+ re (hypot re im)) 2.0) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (* 2.0 (* 1 (+ (pow re 3) (pow (hypot re im) 3))))) (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))) (* (sqrt (sqrt (* 2.0 (* 1 (+ (pow re 3) (pow (hypot re im) 3)))))) (sqrt (sqrt (* 2.0 (* 1 (- (* re re) (* (hypot re im) (hypot re im)))))))) (* (sqrt (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im)))))) (sqrt (sqrt (- re (hypot re im))))) (* (sqrt (sqrt (* 2.0 (* 1 (+ (pow re 3) (pow (hypot re im) 3)))))) (sqrt (sqrt (* 2.0 (* 1 (- (* re re) (* (hypot re im) (hypot re im)))))))) (* (sqrt (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im)))))) (sqrt (sqrt (- re (hypot re im))))) (sqrt (* 2.0 (* 1 (- (* re re) (* (hypot re im) (hypot re im)))))) (sqrt (- re (hypot re im))) (pow (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 4) (* (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (* (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt 2.0) (sqrt (+ re (hypot re im))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) 1 (sqrt (* 2.0 (* 1 (+ re (hypot re im))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) 1 (sqrt (* 2.0 (* 1 (+ re (hypot re im))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) 1 2 1/2 1 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 1/2 (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (* (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))))) (* (fabs (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt 2.0))) (pow (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 3) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (pow (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 3) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (pow (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 4) (* (sqrt (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (* (sqrt (sqrt (* 1 (+ re (hypot re im))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (pow (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 3) (sqrt (* 2.0 (* 1 (+ re (hypot re im))))) (pow (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 3) (sqrt (* 2.0 (* 1 (+ re (hypot re im))))) (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ (pow re 3) (pow (hypot re im) 3))))))) (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (- (* re re) (* (hypot re im) (hypot re im)))))))) (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ (pow re 3) (pow (hypot re im) 3))))))) (* (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (- (* re re) (* (hypot re im) (hypot re im)))))))) (expm1 (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (log1p (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (log (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (exp (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (* (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (pow (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) 3) (fabs (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (sqrt (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (sqrt (sqrt 2.0)) (sqrt (sqrt (* 1 (+ re (hypot re im))))) (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 1 (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ (pow re 3) (pow (hypot re im) 3)))))) (sqrt (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (- (* re re) (* (hypot re im) (hypot re im))))))) (sqrt (sqrt (- re (hypot re im)))) 1/4 1/2 1/4 1/4 1/4 (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (+ re im) (/ re 1/2) 0 (+ re im) (/ re 1/2) 0 (fma (- (* +nan.0 (sqrt 2.0))) (pow re 2) (* (* +nan.0 (sqrt 2.0)) (- im re))) (fma (- (sqrt 2.0)) +nan.0 (* +nan.0 (- (/ (sqrt 2.0) (pow re 2)) (/ (sqrt 2.0) re)))) 0 (fma 1/32 (* (sqrt (sqrt 2.0)) (* (pow (/ 1 (pow im 7)) 1/4) (pow re 2))) (fma 1/4 (* (sqrt (sqrt 2.0)) (* (pow (/ 1 (pow im 3)) 1/4) re)) (* (sqrt (sqrt 2.0)) (pow im 1/4)))) (* (sqrt (sqrt 2.0)) (exp (* 1/4 (- (log 2) (log (/ 1 re)))))) (* (sqrt (sqrt 2.0)) (exp (* 1/4 (- (+ (log (/ -1 re)) (log 1/2)) (* 2 (log (/ -1 im))))))) 1.893 * * * [progress]: adding candidates to table 2.247 * * [progress]: iteration 4 / 4 2.247 * * * [progress]: picking best candidate 2.271 * * * * [pick]: Picked # 2.271 * * * [progress]: localizing error 2.288 * * * [progress]: generating rewritten candidates 2.288 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 2.297 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1 1 1 2 2) 2.303 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1 1 1 2 2) 2.308 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 1 1 2 2) 2.319 * * * [progress]: generating series expansions 2.319 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 2.319 * [approximate]: Taking taylor expansion of (pow (* (pow (+ re (hypot re im)) 1/12) (pow (sqrt 2.0) 1/6)) 4) in (re im) around 0 2.319 * [taylor]: Taking taylor expansion of (pow (* (pow (+ re (hypot re im)) 1/12) (pow (sqrt 2.0) 1/6)) 4) in im 2.319 * [taylor]: Taking taylor expansion of (* (pow (+ re (hypot re im)) 1/12) (pow (sqrt 2.0) 1/6)) in im 2.319 * [taylor]: Taking taylor expansion of (pow (+ re (hypot re im)) 1/12) in im 2.319 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (+ re (hypot re im))))) in im 2.319 * [taylor]: Taking taylor expansion of (* 1/12 (log (+ re (hypot re im)))) in im 2.319 * [taylor]: Taking taylor expansion of 1/12 in im 2.319 * [taylor]: Taking taylor expansion of (log (+ re (hypot re im))) in im 2.319 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 2.319 * [taylor]: Taking taylor expansion of re in im 2.319 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.319 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.319 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.319 * [taylor]: Taking taylor expansion of (* re re) in im 2.319 * [taylor]: Taking taylor expansion of re in im 2.319 * [taylor]: Taking taylor expansion of re in im 2.320 * [taylor]: Taking taylor expansion of (* im im) in im 2.320 * [taylor]: Taking taylor expansion of im in im 2.320 * [taylor]: Taking taylor expansion of im in im 2.321 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/6) in im 2.321 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (sqrt 2.0)))) in im 2.321 * [taylor]: Taking taylor expansion of (* 1/6 (log (sqrt 2.0))) in im 2.321 * [taylor]: Taking taylor expansion of 1/6 in im 2.321 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 2.321 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.321 * [taylor]: Taking taylor expansion of 2.0 in im 2.325 * [taylor]: Taking taylor expansion of (pow (* (pow (+ re (hypot re im)) 1/12) (pow (sqrt 2.0) 1/6)) 4) in re 2.325 * [taylor]: Taking taylor expansion of (* (pow (+ re (hypot re im)) 1/12) (pow (sqrt 2.0) 1/6)) in re 2.325 * [taylor]: Taking taylor expansion of (pow (+ re (hypot re im)) 1/12) in re 2.325 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (+ re (hypot re im))))) in re 2.325 * [taylor]: Taking taylor expansion of (* 1/12 (log (+ re (hypot re im)))) in re 2.325 * [taylor]: Taking taylor expansion of 1/12 in re 2.325 * [taylor]: Taking taylor expansion of (log (+ re (hypot re im))) in re 2.325 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.325 * [taylor]: Taking taylor expansion of re in re 2.325 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.325 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.326 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.326 * [taylor]: Taking taylor expansion of (* re re) in re 2.326 * [taylor]: Taking taylor expansion of re in re 2.326 * [taylor]: Taking taylor expansion of re in re 2.326 * [taylor]: Taking taylor expansion of (* im im) in re 2.326 * [taylor]: Taking taylor expansion of im in re 2.326 * [taylor]: Taking taylor expansion of im in re 2.327 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/6) in re 2.327 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (sqrt 2.0)))) in re 2.327 * [taylor]: Taking taylor expansion of (* 1/6 (log (sqrt 2.0))) in re 2.327 * [taylor]: Taking taylor expansion of 1/6 in re 2.327 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in re 2.327 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.327 * [taylor]: Taking taylor expansion of 2.0 in re 2.331 * [taylor]: Taking taylor expansion of (pow (* (pow (+ re (hypot re im)) 1/12) (pow (sqrt 2.0) 1/6)) 4) in re 2.331 * [taylor]: Taking taylor expansion of (* (pow (+ re (hypot re im)) 1/12) (pow (sqrt 2.0) 1/6)) in re 2.331 * [taylor]: Taking taylor expansion of (pow (+ re (hypot re im)) 1/12) in re 2.331 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (+ re (hypot re im))))) in re 2.331 * [taylor]: Taking taylor expansion of (* 1/12 (log (+ re (hypot re im)))) in re 2.331 * [taylor]: Taking taylor expansion of 1/12 in re 2.331 * [taylor]: Taking taylor expansion of (log (+ re (hypot re im))) in re 2.331 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.331 * [taylor]: Taking taylor expansion of re in re 2.331 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.331 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.331 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.331 * [taylor]: Taking taylor expansion of (* re re) in re 2.331 * [taylor]: Taking taylor expansion of re in re 2.331 * [taylor]: Taking taylor expansion of re in re 2.331 * [taylor]: Taking taylor expansion of (* im im) in re 2.331 * [taylor]: Taking taylor expansion of im in re 2.331 * [taylor]: Taking taylor expansion of im in re 2.332 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/6) in re 2.332 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (sqrt 2.0)))) in re 2.332 * [taylor]: Taking taylor expansion of (* 1/6 (log (sqrt 2.0))) in re 2.332 * [taylor]: Taking taylor expansion of 1/6 in re 2.332 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in re 2.332 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.332 * [taylor]: Taking taylor expansion of 2.0 in re 2.339 * [taylor]: Taking taylor expansion of (pow (* (pow (sqrt 2.0) 2) im) 1/3) in im 2.339 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (sqrt 2.0) 2) im)))) in im 2.339 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (sqrt 2.0) 2) im))) in im 2.339 * [taylor]: Taking taylor expansion of 1/3 in im 2.339 * [taylor]: Taking taylor expansion of (log (* (pow (sqrt 2.0) 2) im)) in im 2.339 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 2) im) in im 2.339 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 2.339 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.339 * [taylor]: Taking taylor expansion of 2.0 in im 2.339 * [taylor]: Taking taylor expansion of im in im 2.357 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ (pow (sqrt 2.0) 2) (pow im 2)) 1/3)) in im 2.357 * [taylor]: Taking taylor expansion of 1/3 in im 2.357 * [taylor]: Taking taylor expansion of (pow (/ (pow (sqrt 2.0) 2) (pow im 2)) 1/3) in im 2.357 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (sqrt 2.0) 2) (pow im 2))))) in im 2.357 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (sqrt 2.0) 2) (pow im 2)))) in im 2.357 * [taylor]: Taking taylor expansion of 1/3 in im 2.357 * [taylor]: Taking taylor expansion of (log (/ (pow (sqrt 2.0) 2) (pow im 2))) in im 2.357 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (pow im 2)) in im 2.357 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 2.357 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.357 * [taylor]: Taking taylor expansion of 2.0 in im 2.358 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.358 * [taylor]: Taking taylor expansion of im in im 2.389 * [taylor]: Taking taylor expansion of (* 1/18 (pow (/ (pow (sqrt 2.0) 2) (pow im 5)) 1/3)) in im 2.389 * [taylor]: Taking taylor expansion of 1/18 in im 2.389 * [taylor]: Taking taylor expansion of (pow (/ (pow (sqrt 2.0) 2) (pow im 5)) 1/3) in im 2.389 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (sqrt 2.0) 2) (pow im 5))))) in im 2.389 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (sqrt 2.0) 2) (pow im 5)))) in im 2.389 * [taylor]: Taking taylor expansion of 1/3 in im 2.389 * [taylor]: Taking taylor expansion of (log (/ (pow (sqrt 2.0) 2) (pow im 5))) in im 2.389 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (pow im 5)) in im 2.389 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 2.389 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.389 * [taylor]: Taking taylor expansion of 2.0 in im 2.390 * [taylor]: Taking taylor expansion of (pow im 5) in im 2.390 * [taylor]: Taking taylor expansion of im in im 2.408 * [approximate]: Taking taylor expansion of (pow (* (pow (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/12) (pow (sqrt 2.0) 1/6)) 4) in (re im) around 0 2.408 * [taylor]: Taking taylor expansion of (pow (* (pow (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/12) (pow (sqrt 2.0) 1/6)) 4) in im 2.408 * [taylor]: Taking taylor expansion of (* (pow (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/12) (pow (sqrt 2.0) 1/6)) in im 2.408 * [taylor]: Taking taylor expansion of (pow (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/12) in im 2.408 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))))) in im 2.408 * [taylor]: Taking taylor expansion of (* 1/12 (log (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in im 2.408 * [taylor]: Taking taylor expansion of 1/12 in im 2.408 * [taylor]: Taking taylor expansion of (log (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 2.408 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 2.408 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.408 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.408 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.408 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.408 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.409 * [taylor]: Taking taylor expansion of re in im 2.409 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.409 * [taylor]: Taking taylor expansion of re in im 2.409 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.409 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.409 * [taylor]: Taking taylor expansion of im in im 2.409 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.409 * [taylor]: Taking taylor expansion of im in im 2.411 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.411 * [taylor]: Taking taylor expansion of re in im 2.412 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/6) in im 2.412 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (sqrt 2.0)))) in im 2.412 * [taylor]: Taking taylor expansion of (* 1/6 (log (sqrt 2.0))) in im 2.412 * [taylor]: Taking taylor expansion of 1/6 in im 2.412 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 2.412 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.412 * [taylor]: Taking taylor expansion of 2.0 in im 2.416 * [taylor]: Taking taylor expansion of (pow (* (pow (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/12) (pow (sqrt 2.0) 1/6)) 4) in re 2.416 * [taylor]: Taking taylor expansion of (* (pow (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/12) (pow (sqrt 2.0) 1/6)) in re 2.416 * [taylor]: Taking taylor expansion of (pow (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/12) in re 2.416 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))))) in re 2.416 * [taylor]: Taking taylor expansion of (* 1/12 (log (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in re 2.416 * [taylor]: Taking taylor expansion of 1/12 in re 2.416 * [taylor]: Taking taylor expansion of (log (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 2.416 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.416 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.416 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.416 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.416 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) 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 (/ 1 re) in re 2.417 * [taylor]: Taking taylor expansion of re in re 2.417 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.417 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.417 * [taylor]: Taking taylor expansion of im in re 2.417 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.417 * [taylor]: Taking taylor expansion of im in re 2.419 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.419 * [taylor]: Taking taylor expansion of re in re 2.421 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/6) in re 2.421 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (sqrt 2.0)))) in re 2.421 * [taylor]: Taking taylor expansion of (* 1/6 (log (sqrt 2.0))) in re 2.421 * [taylor]: Taking taylor expansion of 1/6 in re 2.421 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in re 2.421 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.421 * [taylor]: Taking taylor expansion of 2.0 in re 2.425 * [taylor]: Taking taylor expansion of (pow (* (pow (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/12) (pow (sqrt 2.0) 1/6)) 4) in re 2.425 * [taylor]: Taking taylor expansion of (* (pow (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/12) (pow (sqrt 2.0) 1/6)) in re 2.425 * [taylor]: Taking taylor expansion of (pow (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/12) in re 2.425 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))))) in re 2.425 * [taylor]: Taking taylor expansion of (* 1/12 (log (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in re 2.425 * [taylor]: Taking taylor expansion of 1/12 in re 2.425 * [taylor]: Taking taylor expansion of (log (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 2.425 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.425 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.425 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.426 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.426 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.426 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.426 * [taylor]: Taking taylor expansion of re in re 2.426 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.426 * [taylor]: Taking taylor expansion of re in re 2.426 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.426 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.426 * [taylor]: Taking taylor expansion of im in re 2.426 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.426 * [taylor]: Taking taylor expansion of im in re 2.428 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.429 * [taylor]: Taking taylor expansion of re in re 2.430 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/6) in re 2.430 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (sqrt 2.0)))) in re 2.430 * [taylor]: Taking taylor expansion of (* 1/6 (log (sqrt 2.0))) in re 2.430 * [taylor]: Taking taylor expansion of 1/6 in re 2.430 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in re 2.430 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.430 * [taylor]: Taking taylor expansion of 2.0 in re 2.438 * [taylor]: Taking taylor expansion of (* (pow (pow (sqrt 2.0) 2) 1/3) (pow (exp (* 1/12 (- (log 2) (log re)))) 4)) in im 2.438 * [taylor]: Taking taylor expansion of (pow (pow (sqrt 2.0) 2) 1/3) in im 2.438 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sqrt 2.0) 2)))) in im 2.438 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sqrt 2.0) 2))) in im 2.438 * [taylor]: Taking taylor expansion of 1/3 in im 2.438 * [taylor]: Taking taylor expansion of (log (pow (sqrt 2.0) 2)) in im 2.438 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 2.438 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.438 * [taylor]: Taking taylor expansion of 2.0 in im 2.443 * [taylor]: Taking taylor expansion of (pow (exp (* 1/12 (- (log 2) (log re)))) 4) in im 2.443 * [taylor]: Taking taylor expansion of (exp (* 1/12 (- (log 2) (log re)))) in im 2.443 * [taylor]: Taking taylor expansion of (* 1/12 (- (log 2) (log re))) in im 2.443 * [taylor]: Taking taylor expansion of 1/12 in im 2.444 * [taylor]: Taking taylor expansion of (- (log 2) (log re)) in im 2.444 * [taylor]: Taking taylor expansion of (log 2) in im 2.444 * [taylor]: Taking taylor expansion of 2 in im 2.444 * [taylor]: Taking taylor expansion of (log re) in im 2.444 * [taylor]: Taking taylor expansion of re in im 2.458 * [taylor]: Taking taylor expansion of 0 in im 2.486 * [taylor]: Taking taylor expansion of (* 1/12 (* (pow (pow (sqrt 2.0) 2) 1/3) (/ (pow (exp (* 1/12 (- (log 2) (log re)))) 4) (pow im 2)))) in im 2.486 * [taylor]: Taking taylor expansion of 1/12 in im 2.486 * [taylor]: Taking taylor expansion of (* (pow (pow (sqrt 2.0) 2) 1/3) (/ (pow (exp (* 1/12 (- (log 2) (log re)))) 4) (pow im 2))) in im 2.486 * [taylor]: Taking taylor expansion of (pow (pow (sqrt 2.0) 2) 1/3) in im 2.486 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sqrt 2.0) 2)))) in im 2.486 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sqrt 2.0) 2))) in im 2.486 * [taylor]: Taking taylor expansion of 1/3 in im 2.486 * [taylor]: Taking taylor expansion of (log (pow (sqrt 2.0) 2)) in im 2.486 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 2.486 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.486 * [taylor]: Taking taylor expansion of 2.0 in im 2.492 * [taylor]: Taking taylor expansion of (/ (pow (exp (* 1/12 (- (log 2) (log re)))) 4) (pow im 2)) in im 2.492 * [taylor]: Taking taylor expansion of (pow (exp (* 1/12 (- (log 2) (log re)))) 4) in im 2.492 * [taylor]: Taking taylor expansion of (exp (* 1/12 (- (log 2) (log re)))) in im 2.492 * [taylor]: Taking taylor expansion of (* 1/12 (- (log 2) (log re))) in im 2.492 * [taylor]: Taking taylor expansion of 1/12 in im 2.492 * [taylor]: Taking taylor expansion of (- (log 2) (log re)) in im 2.492 * [taylor]: Taking taylor expansion of (log 2) in im 2.492 * [taylor]: Taking taylor expansion of 2 in im 2.492 * [taylor]: Taking taylor expansion of (log re) in im 2.492 * [taylor]: Taking taylor expansion of re in im 2.493 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.493 * [taylor]: Taking taylor expansion of im in im 2.562 * [taylor]: Taking taylor expansion of 0 in im 2.564 * [approximate]: Taking taylor expansion of (pow (* (pow (sqrt 2.0) 1/6) (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/12)) 4) in (re im) around 0 2.564 * [taylor]: Taking taylor expansion of (pow (* (pow (sqrt 2.0) 1/6) (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/12)) 4) in im 2.564 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/6) (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/12)) in im 2.564 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/6) in im 2.564 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (sqrt 2.0)))) in im 2.564 * [taylor]: Taking taylor expansion of (* 1/6 (log (sqrt 2.0))) in im 2.564 * [taylor]: Taking taylor expansion of 1/6 in im 2.564 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 2.564 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.564 * [taylor]: Taking taylor expansion of 2.0 in im 2.567 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/12) in im 2.567 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in im 2.567 * [taylor]: Taking taylor expansion of (* 1/12 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 2.567 * [taylor]: Taking taylor expansion of 1/12 in im 2.567 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 2.567 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 2.567 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.567 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.567 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.567 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.568 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.568 * [taylor]: Taking taylor expansion of -1 in im 2.568 * [taylor]: Taking taylor expansion of re in im 2.568 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.568 * [taylor]: Taking taylor expansion of -1 in im 2.568 * [taylor]: Taking taylor expansion of re in im 2.568 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.568 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.568 * [taylor]: Taking taylor expansion of -1 in im 2.568 * [taylor]: Taking taylor expansion of im in im 2.568 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.568 * [taylor]: Taking taylor expansion of -1 in im 2.568 * [taylor]: Taking taylor expansion of im in im 2.571 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.571 * [taylor]: Taking taylor expansion of re in im 2.572 * [taylor]: Taking taylor expansion of (pow (* (pow (sqrt 2.0) 1/6) (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/12)) 4) in re 2.572 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/6) (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/12)) in re 2.572 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/6) in re 2.572 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (sqrt 2.0)))) in re 2.572 * [taylor]: Taking taylor expansion of (* 1/6 (log (sqrt 2.0))) in re 2.572 * [taylor]: Taking taylor expansion of 1/6 in re 2.572 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in re 2.572 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.572 * [taylor]: Taking taylor expansion of 2.0 in re 2.575 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/12) in re 2.575 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in re 2.575 * [taylor]: Taking taylor expansion of (* 1/12 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 2.575 * [taylor]: Taking taylor expansion of 1/12 in re 2.575 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 2.575 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.575 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.576 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.576 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.576 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.576 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.576 * [taylor]: Taking taylor expansion of -1 in re 2.576 * [taylor]: Taking taylor expansion of re in re 2.576 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.576 * [taylor]: Taking taylor expansion of -1 in re 2.576 * [taylor]: Taking taylor expansion of re in re 2.576 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.576 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.576 * [taylor]: Taking taylor expansion of -1 in re 2.576 * [taylor]: Taking taylor expansion of im in re 2.576 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.576 * [taylor]: Taking taylor expansion of -1 in re 2.576 * [taylor]: Taking taylor expansion of im in re 2.579 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.579 * [taylor]: Taking taylor expansion of re in re 2.585 * [taylor]: Taking taylor expansion of (pow (* (pow (sqrt 2.0) 1/6) (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/12)) 4) in re 2.585 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/6) (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/12)) in re 2.585 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/6) in re 2.585 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (sqrt 2.0)))) in re 2.585 * [taylor]: Taking taylor expansion of (* 1/6 (log (sqrt 2.0))) in re 2.585 * [taylor]: Taking taylor expansion of 1/6 in re 2.585 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in re 2.585 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.585 * [taylor]: Taking taylor expansion of 2.0 in re 2.594 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/12) in re 2.594 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in re 2.594 * [taylor]: Taking taylor expansion of (* 1/12 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 2.594 * [taylor]: Taking taylor expansion of 1/12 in re 2.594 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 2.594 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.595 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.595 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.595 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.595 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.595 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.595 * [taylor]: Taking taylor expansion of -1 in re 2.595 * [taylor]: Taking taylor expansion of re in re 2.595 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.595 * [taylor]: Taking taylor expansion of -1 in re 2.595 * [taylor]: Taking taylor expansion of re in re 2.596 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.596 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.596 * [taylor]: Taking taylor expansion of -1 in re 2.596 * [taylor]: Taking taylor expansion of im in re 2.596 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.596 * [taylor]: Taking taylor expansion of -1 in re 2.596 * [taylor]: Taking taylor expansion of im in re 2.598 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.598 * [taylor]: Taking taylor expansion of re in re 2.607 * [taylor]: Taking taylor expansion of (* (pow (exp (* 1/12 (+ (log (/ 1/2 (pow im 2))) (log re)))) 4) (pow (pow (sqrt 2.0) 2) 1/3)) in im 2.607 * [taylor]: Taking taylor expansion of (pow (exp (* 1/12 (+ (log (/ 1/2 (pow im 2))) (log re)))) 4) in im 2.607 * [taylor]: Taking taylor expansion of (exp (* 1/12 (+ (log (/ 1/2 (pow im 2))) (log re)))) in im 2.607 * [taylor]: Taking taylor expansion of (* 1/12 (+ (log (/ 1/2 (pow im 2))) (log re))) in im 2.607 * [taylor]: Taking taylor expansion of 1/12 in im 2.607 * [taylor]: Taking taylor expansion of (+ (log (/ 1/2 (pow im 2))) (log re)) in im 2.607 * [taylor]: Taking taylor expansion of (log (/ 1/2 (pow im 2))) in im 2.607 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.607 * [taylor]: Taking taylor expansion of 1/2 in im 2.607 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.607 * [taylor]: Taking taylor expansion of im in im 2.608 * [taylor]: Taking taylor expansion of (log re) in im 2.608 * [taylor]: Taking taylor expansion of re in im 2.609 * [taylor]: Taking taylor expansion of (pow (pow (sqrt 2.0) 2) 1/3) in im 2.609 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sqrt 2.0) 2)))) in im 2.609 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sqrt 2.0) 2))) in im 2.610 * [taylor]: Taking taylor expansion of 1/3 in im 2.610 * [taylor]: Taking taylor expansion of (log (pow (sqrt 2.0) 2)) in im 2.610 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 2.610 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.610 * [taylor]: Taking taylor expansion of 2.0 in im 2.630 * [taylor]: Taking taylor expansion of 0 in im 2.658 * [taylor]: Taking taylor expansion of (- (* 1/12 (* (/ (pow (exp (* 1/12 (+ (log (/ 1/2 (pow im 2))) (log re)))) 4) (pow im 2)) (pow (pow (sqrt 2.0) 2) 1/3)))) in im 2.658 * [taylor]: Taking taylor expansion of (* 1/12 (* (/ (pow (exp (* 1/12 (+ (log (/ 1/2 (pow im 2))) (log re)))) 4) (pow im 2)) (pow (pow (sqrt 2.0) 2) 1/3))) in im 2.658 * [taylor]: Taking taylor expansion of 1/12 in im 2.658 * [taylor]: Taking taylor expansion of (* (/ (pow (exp (* 1/12 (+ (log (/ 1/2 (pow im 2))) (log re)))) 4) (pow im 2)) (pow (pow (sqrt 2.0) 2) 1/3)) in im 2.658 * [taylor]: Taking taylor expansion of (/ (pow (exp (* 1/12 (+ (log (/ 1/2 (pow im 2))) (log re)))) 4) (pow im 2)) in im 2.658 * [taylor]: Taking taylor expansion of (pow (exp (* 1/12 (+ (log (/ 1/2 (pow im 2))) (log re)))) 4) in im 2.658 * [taylor]: Taking taylor expansion of (exp (* 1/12 (+ (log (/ 1/2 (pow im 2))) (log re)))) in im 2.658 * [taylor]: Taking taylor expansion of (* 1/12 (+ (log (/ 1/2 (pow im 2))) (log re))) in im 2.658 * [taylor]: Taking taylor expansion of 1/12 in im 2.658 * [taylor]: Taking taylor expansion of (+ (log (/ 1/2 (pow im 2))) (log re)) in im 2.658 * [taylor]: Taking taylor expansion of (log (/ 1/2 (pow im 2))) in im 2.658 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.658 * [taylor]: Taking taylor expansion of 1/2 in im 2.658 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.658 * [taylor]: Taking taylor expansion of im in im 2.659 * [taylor]: Taking taylor expansion of (log re) in im 2.659 * [taylor]: Taking taylor expansion of re in im 2.661 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.661 * [taylor]: Taking taylor expansion of im in im 2.663 * [taylor]: Taking taylor expansion of (pow (pow (sqrt 2.0) 2) 1/3) in im 2.663 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sqrt 2.0) 2)))) in im 2.663 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sqrt 2.0) 2))) in im 2.663 * [taylor]: Taking taylor expansion of 1/3 in im 2.663 * [taylor]: Taking taylor expansion of (log (pow (sqrt 2.0) 2)) in im 2.663 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 2.663 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.663 * [taylor]: Taking taylor expansion of 2.0 in im 2.739 * [taylor]: Taking taylor expansion of 0 in im 2.740 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1 1 1 2 2) 2.740 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 2.740 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 2.740 * [taylor]: Taking taylor expansion of re in im 2.740 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.741 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.741 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.741 * [taylor]: Taking taylor expansion of (* re re) in im 2.741 * [taylor]: Taking taylor expansion of re in im 2.741 * [taylor]: Taking taylor expansion of re in im 2.741 * [taylor]: Taking taylor expansion of (* im im) in im 2.741 * [taylor]: Taking taylor expansion of im in im 2.741 * [taylor]: Taking taylor expansion of im in im 2.742 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.742 * [taylor]: Taking taylor expansion of re in re 2.742 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.742 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.742 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.742 * [taylor]: Taking taylor expansion of (* re re) in re 2.742 * [taylor]: Taking taylor expansion of re in re 2.742 * [taylor]: Taking taylor expansion of re in re 2.742 * [taylor]: Taking taylor expansion of (* im im) in re 2.742 * [taylor]: Taking taylor expansion of im in re 2.742 * [taylor]: Taking taylor expansion of im in re 2.743 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.743 * [taylor]: Taking taylor expansion of re in re 2.743 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.743 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.743 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.743 * [taylor]: Taking taylor expansion of (* re re) in re 2.743 * [taylor]: Taking taylor expansion of re in re 2.743 * [taylor]: Taking taylor expansion of re in re 2.743 * [taylor]: Taking taylor expansion of (* im im) in re 2.743 * [taylor]: Taking taylor expansion of im in re 2.743 * [taylor]: Taking taylor expansion of im in re 2.744 * [taylor]: Taking taylor expansion of im in im 2.745 * [taylor]: Taking taylor expansion of 1 in im 2.746 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.746 * [taylor]: Taking taylor expansion of 1/2 in im 2.746 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.746 * [taylor]: Taking taylor expansion of im in im 2.749 * [taylor]: Taking taylor expansion of 0 in im 2.750 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 2.750 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 2.750 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.750 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.750 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.750 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.750 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.750 * [taylor]: Taking taylor expansion of re in im 2.750 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.750 * [taylor]: Taking taylor expansion of re in im 2.750 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.750 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.750 * [taylor]: Taking taylor expansion of im in im 2.750 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.750 * [taylor]: Taking taylor expansion of im in im 2.753 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.753 * [taylor]: Taking taylor expansion of re in im 2.753 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.753 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.753 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.753 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.753 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.753 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.753 * [taylor]: Taking taylor expansion of re in re 2.753 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.753 * [taylor]: Taking taylor expansion of re in re 2.754 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.754 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.754 * [taylor]: Taking taylor expansion of im in re 2.754 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.754 * [taylor]: Taking taylor expansion of im in re 2.756 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.756 * [taylor]: Taking taylor expansion of re in re 2.756 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.756 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.756 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.756 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.756 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.756 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.756 * [taylor]: Taking taylor expansion of re in re 2.757 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.757 * [taylor]: Taking taylor expansion of re in re 2.757 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.757 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.757 * [taylor]: Taking taylor expansion of im in re 2.757 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.757 * [taylor]: Taking taylor expansion of im in re 2.759 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.759 * [taylor]: Taking taylor expansion of re in re 2.760 * [taylor]: Taking taylor expansion of 2 in im 2.761 * [taylor]: Taking taylor expansion of 0 in im 2.763 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.763 * [taylor]: Taking taylor expansion of 1/2 in im 2.763 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.763 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.763 * [taylor]: Taking taylor expansion of im in im 2.768 * [taylor]: Taking taylor expansion of 0 in im 2.770 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 2.770 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 2.770 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.770 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.770 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.770 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.770 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.770 * [taylor]: Taking taylor expansion of -1 in im 2.770 * [taylor]: Taking taylor expansion of re in im 2.770 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.770 * [taylor]: Taking taylor expansion of -1 in im 2.770 * [taylor]: Taking taylor expansion of re in im 2.770 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.770 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.770 * [taylor]: Taking taylor expansion of -1 in im 2.770 * [taylor]: Taking taylor expansion of im in im 2.770 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.770 * [taylor]: Taking taylor expansion of -1 in im 2.770 * [taylor]: Taking taylor expansion of im in im 2.773 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.773 * [taylor]: Taking taylor expansion of re in im 2.773 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.773 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.773 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.773 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.773 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.773 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.773 * [taylor]: Taking taylor expansion of -1 in re 2.773 * [taylor]: Taking taylor expansion of re in re 2.774 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.774 * [taylor]: Taking taylor expansion of -1 in re 2.774 * [taylor]: Taking taylor expansion of re in re 2.780 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.780 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.781 * [taylor]: Taking taylor expansion of -1 in re 2.781 * [taylor]: Taking taylor expansion of im in re 2.781 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.781 * [taylor]: Taking taylor expansion of -1 in re 2.781 * [taylor]: Taking taylor expansion of im in re 2.783 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.783 * [taylor]: Taking taylor expansion of re in re 2.783 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.783 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.784 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.784 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.784 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.784 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.784 * [taylor]: Taking taylor expansion of -1 in re 2.784 * [taylor]: Taking taylor expansion of re in re 2.784 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.784 * [taylor]: Taking taylor expansion of -1 in re 2.784 * [taylor]: Taking taylor expansion of re in re 2.784 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.784 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.784 * [taylor]: Taking taylor expansion of -1 in re 2.784 * [taylor]: Taking taylor expansion of im in re 2.784 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.784 * [taylor]: Taking taylor expansion of -1 in re 2.784 * [taylor]: Taking taylor expansion of im in re 2.787 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.787 * [taylor]: Taking taylor expansion of re in re 2.788 * [taylor]: Taking taylor expansion of 0 in im 2.788 * [taylor]: Taking taylor expansion of 0 in im 2.792 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.792 * [taylor]: Taking taylor expansion of 1/2 in im 2.792 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.792 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.792 * [taylor]: Taking taylor expansion of im in im 2.796 * [taylor]: Taking taylor expansion of 0 in im 2.798 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1 1 1 2 2) 2.798 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 2.798 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 2.798 * [taylor]: Taking taylor expansion of re in im 2.798 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.798 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.798 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.798 * [taylor]: Taking taylor expansion of (* re re) in im 2.798 * [taylor]: Taking taylor expansion of re in im 2.798 * [taylor]: Taking taylor expansion of re in im 2.798 * [taylor]: Taking taylor expansion of (* im im) in im 2.798 * [taylor]: Taking taylor expansion of im in im 2.798 * [taylor]: Taking taylor expansion of im in im 2.799 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.799 * [taylor]: Taking taylor expansion of re in re 2.799 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.799 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.800 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.800 * [taylor]: Taking taylor expansion of (* re re) in re 2.800 * [taylor]: Taking taylor expansion of re in re 2.800 * [taylor]: Taking taylor expansion of re in re 2.800 * [taylor]: Taking taylor expansion of (* im im) in re 2.800 * [taylor]: Taking taylor expansion of im in re 2.800 * [taylor]: Taking taylor expansion of im in re 2.801 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.801 * [taylor]: Taking taylor expansion of re in re 2.801 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.801 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.801 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.801 * [taylor]: Taking taylor expansion of (* re re) in re 2.801 * [taylor]: Taking taylor expansion of re in re 2.801 * [taylor]: Taking taylor expansion of re in re 2.801 * [taylor]: Taking taylor expansion of (* im im) in re 2.801 * [taylor]: Taking taylor expansion of im in re 2.801 * [taylor]: Taking taylor expansion of im in re 2.802 * [taylor]: Taking taylor expansion of im in im 2.802 * [taylor]: Taking taylor expansion of 1 in im 2.804 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.804 * [taylor]: Taking taylor expansion of 1/2 in im 2.804 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.804 * [taylor]: Taking taylor expansion of im in im 2.806 * [taylor]: Taking taylor expansion of 0 in im 2.807 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 2.807 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 2.807 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.807 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.807 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.808 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.808 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.808 * [taylor]: Taking taylor expansion of re in im 2.808 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.808 * [taylor]: Taking taylor expansion of re in im 2.808 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.808 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.808 * [taylor]: Taking taylor expansion of im in im 2.808 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.808 * [taylor]: Taking taylor expansion of im in im 2.810 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.810 * [taylor]: Taking taylor expansion of re in im 2.811 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.811 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.811 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.811 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.811 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.811 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.811 * [taylor]: Taking taylor expansion of re in re 2.811 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.811 * [taylor]: Taking taylor expansion of re in re 2.811 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.811 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.811 * [taylor]: Taking taylor expansion of im in re 2.811 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.811 * [taylor]: Taking taylor expansion of im in re 2.814 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.814 * [taylor]: Taking taylor expansion of re in re 2.814 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.814 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.814 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.814 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.814 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.814 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.814 * [taylor]: Taking taylor expansion of re in re 2.814 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.814 * [taylor]: Taking taylor expansion of re in re 2.815 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.815 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.815 * [taylor]: Taking taylor expansion of im in re 2.815 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.815 * [taylor]: Taking taylor expansion of im in re 2.817 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.817 * [taylor]: Taking taylor expansion of re in re 2.818 * [taylor]: Taking taylor expansion of 2 in im 2.818 * [taylor]: Taking taylor expansion of 0 in im 2.821 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.821 * [taylor]: Taking taylor expansion of 1/2 in im 2.821 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.821 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.821 * [taylor]: Taking taylor expansion of im in im 2.826 * [taylor]: Taking taylor expansion of 0 in im 2.827 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 2.827 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 2.827 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.827 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.827 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.828 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.828 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.828 * [taylor]: Taking taylor expansion of -1 in im 2.828 * [taylor]: Taking taylor expansion of re in im 2.828 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.828 * [taylor]: Taking taylor expansion of -1 in im 2.828 * [taylor]: Taking taylor expansion of re in im 2.828 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.828 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.828 * [taylor]: Taking taylor expansion of -1 in im 2.828 * [taylor]: Taking taylor expansion of im in im 2.828 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.828 * [taylor]: Taking taylor expansion of -1 in im 2.828 * [taylor]: Taking taylor expansion of im in im 2.831 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.831 * [taylor]: Taking taylor expansion of re in im 2.831 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.831 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.831 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.831 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.831 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.831 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.831 * [taylor]: Taking taylor expansion of -1 in re 2.831 * [taylor]: Taking taylor expansion of re in re 2.831 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.831 * [taylor]: Taking taylor expansion of -1 in re 2.831 * [taylor]: Taking taylor expansion of re in re 2.832 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.832 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.832 * [taylor]: Taking taylor expansion of -1 in re 2.832 * [taylor]: Taking taylor expansion of im in re 2.832 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.832 * [taylor]: Taking taylor expansion of -1 in re 2.832 * [taylor]: Taking taylor expansion of im in re 2.834 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.834 * [taylor]: Taking taylor expansion of re in re 2.834 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.834 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.834 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.835 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.835 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.835 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.835 * [taylor]: Taking taylor expansion of -1 in re 2.835 * [taylor]: Taking taylor expansion of re in re 2.835 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.835 * [taylor]: Taking taylor expansion of -1 in re 2.835 * [taylor]: Taking taylor expansion of re in re 2.835 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.835 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.835 * [taylor]: Taking taylor expansion of -1 in re 2.835 * [taylor]: Taking taylor expansion of im in re 2.835 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.835 * [taylor]: Taking taylor expansion of -1 in re 2.835 * [taylor]: Taking taylor expansion of im in re 2.838 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.838 * [taylor]: Taking taylor expansion of re in re 2.838 * [taylor]: Taking taylor expansion of 0 in im 2.839 * [taylor]: Taking taylor expansion of 0 in im 2.842 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.842 * [taylor]: Taking taylor expansion of 1/2 in im 2.842 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.842 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.842 * [taylor]: Taking taylor expansion of im in im 2.847 * [taylor]: Taking taylor expansion of 0 in im 2.849 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 1 1 2 2) 2.849 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 2.849 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 2.849 * [taylor]: Taking taylor expansion of re in im 2.849 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.849 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.849 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.849 * [taylor]: Taking taylor expansion of (* re re) in im 2.849 * [taylor]: Taking taylor expansion of re in im 2.849 * [taylor]: Taking taylor expansion of re in im 2.849 * [taylor]: Taking taylor expansion of (* im im) in im 2.849 * [taylor]: Taking taylor expansion of im in im 2.849 * [taylor]: Taking taylor expansion of im in im 2.850 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.850 * [taylor]: Taking taylor expansion of re in re 2.850 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.850 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.850 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.850 * [taylor]: Taking taylor expansion of (* re re) in re 2.850 * [taylor]: Taking taylor expansion of re in re 2.850 * [taylor]: Taking taylor expansion of re in re 2.850 * [taylor]: Taking taylor expansion of (* im im) in re 2.850 * [taylor]: Taking taylor expansion of im in re 2.850 * [taylor]: Taking taylor expansion of im in re 2.851 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.851 * [taylor]: Taking taylor expansion of re in re 2.851 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.851 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.851 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.851 * [taylor]: Taking taylor expansion of (* re re) in re 2.852 * [taylor]: Taking taylor expansion of re in re 2.852 * [taylor]: Taking taylor expansion of re in re 2.852 * [taylor]: Taking taylor expansion of (* im im) in re 2.852 * [taylor]: Taking taylor expansion of im in re 2.852 * [taylor]: Taking taylor expansion of im in re 2.853 * [taylor]: Taking taylor expansion of im in im 2.853 * [taylor]: Taking taylor expansion of 1 in im 2.854 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.854 * [taylor]: Taking taylor expansion of 1/2 in im 2.854 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.854 * [taylor]: Taking taylor expansion of im in im 2.857 * [taylor]: Taking taylor expansion of 0 in im 2.858 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 2.858 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 2.858 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.858 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.858 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.858 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.858 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.858 * [taylor]: Taking taylor expansion of re in im 2.858 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.858 * [taylor]: Taking taylor expansion of re in im 2.858 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.858 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.858 * [taylor]: Taking taylor expansion of im in im 2.859 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.859 * [taylor]: Taking taylor expansion of im in im 2.861 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.861 * [taylor]: Taking taylor expansion of re in im 2.861 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.861 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.861 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.861 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.861 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.861 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.861 * [taylor]: Taking taylor expansion of re in re 2.862 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.862 * [taylor]: Taking taylor expansion of re in re 2.862 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.862 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.862 * [taylor]: Taking taylor expansion of im in re 2.862 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.862 * [taylor]: Taking taylor expansion of im in re 2.864 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.864 * [taylor]: Taking taylor expansion of re in re 2.865 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.865 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.865 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.865 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.865 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.865 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.865 * [taylor]: Taking taylor expansion of re in re 2.865 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.865 * [taylor]: Taking taylor expansion of re in re 2.865 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.865 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.865 * [taylor]: Taking taylor expansion of im in re 2.865 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.865 * [taylor]: Taking taylor expansion of im in re 2.874 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.874 * [taylor]: Taking taylor expansion of re in re 2.875 * [taylor]: Taking taylor expansion of 2 in im 2.875 * [taylor]: Taking taylor expansion of 0 in im 2.878 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.878 * [taylor]: Taking taylor expansion of 1/2 in im 2.878 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.878 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.878 * [taylor]: Taking taylor expansion of im in im 2.883 * [taylor]: Taking taylor expansion of 0 in im 2.884 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 2.884 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 2.885 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.885 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.885 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.885 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.885 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.885 * [taylor]: Taking taylor expansion of -1 in im 2.885 * [taylor]: Taking taylor expansion of re in im 2.885 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.885 * [taylor]: Taking taylor expansion of -1 in im 2.885 * [taylor]: Taking taylor expansion of re in im 2.885 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.885 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.885 * [taylor]: Taking taylor expansion of -1 in im 2.885 * [taylor]: Taking taylor expansion of im in im 2.885 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.885 * [taylor]: Taking taylor expansion of -1 in im 2.885 * [taylor]: Taking taylor expansion of im in im 2.888 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.888 * [taylor]: Taking taylor expansion of re in im 2.888 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.888 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.888 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.888 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.888 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.888 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.888 * [taylor]: Taking taylor expansion of -1 in re 2.888 * [taylor]: Taking taylor expansion of re in re 2.888 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.889 * [taylor]: Taking taylor expansion of -1 in re 2.889 * [taylor]: Taking taylor expansion of re in re 2.889 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.889 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.889 * [taylor]: Taking taylor expansion of -1 in re 2.889 * [taylor]: Taking taylor expansion of im in re 2.889 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.889 * [taylor]: Taking taylor expansion of -1 in re 2.889 * [taylor]: Taking taylor expansion of im in re 2.891 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.891 * [taylor]: Taking taylor expansion of re in re 2.892 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.892 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.892 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.892 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.892 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.892 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.892 * [taylor]: Taking taylor expansion of -1 in re 2.892 * [taylor]: Taking taylor expansion of re in re 2.892 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.892 * [taylor]: Taking taylor expansion of -1 in re 2.892 * [taylor]: Taking taylor expansion of re in re 2.892 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.892 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.892 * [taylor]: Taking taylor expansion of -1 in re 2.892 * [taylor]: Taking taylor expansion of im in re 2.892 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.893 * [taylor]: Taking taylor expansion of -1 in re 2.893 * [taylor]: Taking taylor expansion of im in re 2.895 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.895 * [taylor]: Taking taylor expansion of re in re 2.896 * [taylor]: Taking taylor expansion of 0 in im 2.896 * [taylor]: Taking taylor expansion of 0 in im 2.900 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.900 * [taylor]: Taking taylor expansion of 1/2 in im 2.900 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.900 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.900 * [taylor]: Taking taylor expansion of im in im 2.904 * [taylor]: Taking taylor expansion of 0 in im 2.906 * * * [progress]: simplifying candidates 2.907 * [simplify]: Simplifying using # : (expm1 (pow (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 4)) (log1p (pow (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 4)) (* (log (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) 4) (* (log (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) 4) (* 1/3 4) (* 1 4) (pow (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (* (cbrt 4) (cbrt 4))) (pow (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (sqrt 4)) (pow (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 1) (pow (cbrt (* (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))))) 4) (pow (cbrt (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) 4) (pow (cbrt (sqrt (* (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))))) 4) (pow (cbrt (sqrt (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) 4) (pow (cbrt (sqrt (sqrt 2.0))) 4) (pow (cbrt (sqrt (sqrt (* 1 (+ re (hypot re im)))))) 4) (pow (cbrt (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) 4) (pow (cbrt (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) 4) (pow (cbrt (sqrt 1)) 4) (pow (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 4) (pow (cbrt (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) 4) (pow (cbrt (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) 4) (pow (cbrt 1) 4) (pow (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 4) (pow (* (cbrt (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) (cbrt (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))))) 4) (pow (cbrt (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) 4) (pow (sqrt (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) 4) (pow (sqrt (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) 4) (pow 1 4) (pow (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 4) (log (pow (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 4)) (exp (pow (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 4)) (* (cbrt (pow (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 4)) (cbrt (pow (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 4))) (cbrt (pow (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 4)) (* (* (pow (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 4) (pow (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 4)) (pow (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 4)) (sqrt (pow (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 4)) (sqrt (pow (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 4)) (pow (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (/ 4 2)) (pow (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (/ 4 2)) (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (* (exp re) (exp (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (* (* (+ re (hypot re im)) (+ re (hypot re im))) (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im)))) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (* (exp re) (exp (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (* (* (+ re (hypot re im)) (+ re (hypot re im))) (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im)))) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (* (exp re) (exp (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (* (* (+ re (hypot re im)) (+ re (hypot re im))) (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im)))) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (+ (* 1/18 (* (pow re 2) (exp (* 1/3 (- (log (pow (sqrt 2.0) 2)) (* 5 (log im))))))) (+ (exp (* 1/3 (+ (log im) (log (pow (sqrt 2.0) 2))))) (* 1/3 (* re (exp (* 1/3 (- (log (pow (sqrt 2.0) 2)) (* 2 (log im))))))))) (* (pow (pow (sqrt 2.0) 2) 1/3) (pow (exp (* 1/12 (- (log 2) (log (/ 1 re))))) 4)) (* (pow (pow (sqrt 2.0) 2) 1/3) (pow (exp (* 1/12 (- (+ (log (/ -1 re)) (log 1/2)) (* 2 (log (/ -1 im)))))) 4)) (+ re im) (* 2 re) 0 (+ re im) (* 2 re) 0 (+ re im) (* 2 re) 0 2.908 * [simplify]: Sending expressions to egg_math: (expm1 (pow (cbrt (sqrt (sqrt (* h0 (* 1 (+ h1 (hypot h1 h2))))))) 4)) (log1p (pow (cbrt (sqrt (sqrt (* h0 (* 1 (+ h1 (hypot h1 h2))))))) 4)) (* (log (cbrt (sqrt (sqrt (* h0 (* 1 (+ h1 (hypot h1 h2)))))))) 4) (* (log (cbrt (sqrt (sqrt (* h0 (* 1 (+ h1 (hypot h1 h2)))))))) 4) (* 1/3 4) (* 1 4) (pow (cbrt (sqrt (sqrt (* h0 (* 1 (+ h1 (hypot h1 h2))))))) (* (cbrt 4) (cbrt 4))) (pow (cbrt (sqrt (sqrt (* h0 (* 1 (+ h1 (hypot h1 h2))))))) (sqrt 4)) (pow (cbrt (sqrt (sqrt (* h0 (* 1 (+ h1 (hypot h1 h2))))))) 1) (pow (cbrt (* (cbrt (sqrt (sqrt (* h0 (* 1 (+ h1 (hypot h1 h2))))))) (cbrt (sqrt (sqrt (* h0 (* 1 (+ h1 (hypot h1 h2))))))))) 4) (pow (cbrt (cbrt (sqrt (sqrt (* h0 (* 1 (+ h1 (hypot h1 h2)))))))) 4) (pow (cbrt (sqrt (* (cbrt (sqrt (* h0 (* 1 (+ h1 (hypot h1 h2)))))) (cbrt (sqrt (* h0 (* 1 (+ h1 (hypot h1 h2))))))))) 4) (pow (cbrt (sqrt (cbrt (sqrt (* h0 (* 1 (+ h1 (hypot h1 h2)))))))) 4) (pow (cbrt (sqrt (sqrt h0))) 4) (pow (cbrt (sqrt (sqrt (* 1 (+ h1 (hypot h1 h2)))))) 4) (pow (cbrt (sqrt (sqrt (sqrt (* h0 (* 1 (+ h1 (hypot h1 h2)))))))) 4) (pow (cbrt (sqrt (sqrt (sqrt (* h0 (* 1 (+ h1 (hypot h1 h2)))))))) 4) (pow (cbrt (sqrt 1)) 4) (pow (cbrt (sqrt (sqrt (* h0 (* 1 (+ h1 (hypot h1 h2))))))) 4) (pow (cbrt (sqrt (sqrt (sqrt (* h0 (* 1 (+ h1 (hypot h1 h2)))))))) 4) (pow (cbrt (sqrt (sqrt (sqrt (* h0 (* 1 (+ h1 (hypot h1 h2)))))))) 4) (pow (cbrt 1) 4) (pow (cbrt (sqrt (sqrt (* h0 (* 1 (+ h1 (hypot h1 h2))))))) 4) (pow (* (cbrt (cbrt (sqrt (sqrt (* h0 (* 1 (+ h1 (hypot h1 h2)))))))) (cbrt (cbrt (sqrt (sqrt (* h0 (* 1 (+ h1 (hypot h1 h2))))))))) 4) (pow (cbrt (cbrt (sqrt (sqrt (* h0 (* 1 (+ h1 (hypot h1 h2)))))))) 4) (pow (sqrt (cbrt (sqrt (sqrt (* h0 (* 1 (+ h1 (hypot h1 h2)))))))) 4) (pow (sqrt (cbrt (sqrt (sqrt (* h0 (* 1 (+ h1 (hypot h1 h2)))))))) 4) (pow 1 4) (pow (cbrt (sqrt (sqrt (* h0 (* 1 (+ h1 (hypot h1 h2))))))) 4) (log (pow (cbrt (sqrt (sqrt (* h0 (* 1 (+ h1 (hypot h1 h2))))))) 4)) (exp (pow (cbrt (sqrt (sqrt (* h0 (* 1 (+ h1 (hypot h1 h2))))))) 4)) (* (cbrt (pow (cbrt (sqrt (sqrt (* h0 (* 1 (+ h1 (hypot h1 h2))))))) 4)) (cbrt (pow (cbrt (sqrt (sqrt (* h0 (* 1 (+ h1 (hypot h1 h2))))))) 4))) (cbrt (pow (cbrt (sqrt (sqrt (* h0 (* 1 (+ h1 (hypot h1 h2))))))) 4)) (* (* (pow (cbrt (sqrt (sqrt (* h0 (* 1 (+ h1 (hypot h1 h2))))))) 4) (pow (cbrt (sqrt (sqrt (* h0 (* 1 (+ h1 (hypot h1 h2))))))) 4)) (pow (cbrt (sqrt (sqrt (* h0 (* 1 (+ h1 (hypot h1 h2))))))) 4)) (sqrt (pow (cbrt (sqrt (sqrt (* h0 (* 1 (+ h1 (hypot h1 h2))))))) 4)) (sqrt (pow (cbrt (sqrt (sqrt (* h0 (* 1 (+ h1 (hypot h1 h2))))))) 4)) (pow (cbrt (sqrt (sqrt (* h0 (* 1 (+ h1 (hypot h1 h2))))))) (/ 4 2)) (pow (cbrt (sqrt (sqrt (* h0 (* 1 (+ h1 (hypot h1 h2))))))) (/ 4 2)) (expm1 (+ h1 (hypot h1 h2))) (log1p (+ h1 (hypot h1 h2))) (* (exp h1) (exp (hypot h1 h2))) (log (+ h1 (hypot h1 h2))) (exp (+ h1 (hypot h1 h2))) (* (cbrt (+ h1 (hypot h1 h2))) (cbrt (+ h1 (hypot h1 h2)))) (cbrt (+ h1 (hypot h1 h2))) (* (* (+ h1 (hypot h1 h2)) (+ h1 (hypot h1 h2))) (+ h1 (hypot h1 h2))) (sqrt (+ h1 (hypot h1 h2))) (sqrt (+ h1 (hypot h1 h2))) (+ (pow h1 3) (pow (hypot h1 h2) 3)) (+ (* h1 h1) (- (* (hypot h1 h2) (hypot h1 h2)) (* h1 (hypot h1 h2)))) (- (* h1 h1) (* (hypot h1 h2) (hypot h1 h2))) (- h1 (hypot h1 h2)) (+ h1 (hypot h1 h2)) (expm1 (+ h1 (hypot h1 h2))) (log1p (+ h1 (hypot h1 h2))) (* (exp h1) (exp (hypot h1 h2))) (log (+ h1 (hypot h1 h2))) (exp (+ h1 (hypot h1 h2))) (* (cbrt (+ h1 (hypot h1 h2))) (cbrt (+ h1 (hypot h1 h2)))) (cbrt (+ h1 (hypot h1 h2))) (* (* (+ h1 (hypot h1 h2)) (+ h1 (hypot h1 h2))) (+ h1 (hypot h1 h2))) (sqrt (+ h1 (hypot h1 h2))) (sqrt (+ h1 (hypot h1 h2))) (+ (pow h1 3) (pow (hypot h1 h2) 3)) (+ (* h1 h1) (- (* (hypot h1 h2) (hypot h1 h2)) (* h1 (hypot h1 h2)))) (- (* h1 h1) (* (hypot h1 h2) (hypot h1 h2))) (- h1 (hypot h1 h2)) (+ h1 (hypot h1 h2)) (expm1 (+ h1 (hypot h1 h2))) (log1p (+ h1 (hypot h1 h2))) (* (exp h1) (exp (hypot h1 h2))) (log (+ h1 (hypot h1 h2))) (exp (+ h1 (hypot h1 h2))) (* (cbrt (+ h1 (hypot h1 h2))) (cbrt (+ h1 (hypot h1 h2)))) (cbrt (+ h1 (hypot h1 h2))) (* (* (+ h1 (hypot h1 h2)) (+ h1 (hypot h1 h2))) (+ h1 (hypot h1 h2))) (sqrt (+ h1 (hypot h1 h2))) (sqrt (+ h1 (hypot h1 h2))) (+ (pow h1 3) (pow (hypot h1 h2) 3)) (+ (* h1 h1) (- (* (hypot h1 h2) (hypot h1 h2)) (* h1 (hypot h1 h2)))) (- (* h1 h1) (* (hypot h1 h2) (hypot h1 h2))) (- h1 (hypot h1 h2)) (+ h1 (hypot h1 h2)) (+ (* 1/18 (* (pow h1 2) (exp (* 1/3 (- (log (pow (sqrt h0) 2)) (* 5 (log h2))))))) (+ (exp (* 1/3 (+ (log h2) (log (pow (sqrt h0) 2))))) (* 1/3 (* h1 (exp (* 1/3 (- (log (pow (sqrt h0) 2)) (* 2 (log h2))))))))) (* (pow (pow (sqrt h0) 2) 1/3) (pow (exp (* 1/12 (- (log 2) (log (/ 1 h1))))) 4)) (* (pow (pow (sqrt h0) 2) 1/3) (pow (exp (* 1/12 (- (+ (log (/ -1 h1)) (log 1/2)) (* 2 (log (/ -1 h2)))))) 4)) (+ h1 h2) (* 2 h1) 0 (+ h1 h2) (* 2 h1) 0 (+ h1 h2) (* 2 h1) 0 2.913 * * [simplify]: iteration 0 : 312 enodes (cost 567 ) 2.918 * * [simplify]: iteration 1 : 1055 enodes (cost 529 ) 2.938 * * [simplify]: iteration 2 : 4450 enodes (cost 520 ) 3.042 * * [simplify]: iteration 3 : 5001 enodes (cost 517 ) 3.045 * [simplify]: Simplified to: (expm1 (pow (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 4)) (log1p (pow (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 4)) (log (pow (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 4)) (log (pow (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 4)) 4/3 4 (pow (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (* (cbrt 4) (cbrt 4))) (pow (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 2) (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (pow (cbrt (* (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))))) 4) (pow (cbrt (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) 4) (pow (cbrt (sqrt (* (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))))) 4) (pow (cbrt (sqrt (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) 4) (pow (cbrt (sqrt (sqrt 2.0))) 4) (pow (cbrt (sqrt (sqrt (* 1 (+ re (hypot re im)))))) 4) (pow (cbrt (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) 4) (pow (cbrt (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) 4) 1 (pow (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 4) (pow (cbrt (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) 4) (pow (cbrt (sqrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) 4) 1 (pow (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 4) (pow (cbrt (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) 8) (pow (cbrt (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))))) 4) (pow (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 2) (pow (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 2) 1 (pow (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 4) (log (pow (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 4)) (exp (pow (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 4)) (* (cbrt (pow (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 4)) (cbrt (pow (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 4))) (cbrt (pow (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 4)) (pow (pow (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 4) 3) (sqrt (pow (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 4)) (sqrt (pow (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 4)) (pow (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 2) (pow (cbrt (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) 2) (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (exp (+ re (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (pow (+ re (hypot re im)) 3) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (fma (hypot re im) (- (hypot re im) re) (pow re 2)) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (exp (+ re (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (pow (+ re (hypot re im)) 3) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (fma (hypot re im) (- (hypot re im) re) (pow re 2)) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (exp (+ re (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (pow (+ re (hypot re im)) 3) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (fma (hypot re im) (- (hypot re im) re) (pow re 2)) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (fma (* (* (pow 2.0 1/3) (exp (* 1/3 (- (* 5 (log im)))))) (* 1/18 re)) re (fma (* 1/3 (pow (exp 1/3) (* 2 (- (log (sqrt 2.0)) (log im))))) re (* (pow im 1/3) (pow 2.0 1/3)))) (* (pow (pow (sqrt 2.0) 2) 1/3) (pow (exp (* 1/12 (- (log 2) (log (/ 1 re))))) 4)) (* (pow (pow (sqrt 2.0) 2) 1/3) (pow (exp (* 1/12 (- (+ (log (/ -1 re)) (log 1/2)) (* 2 (log (/ -1 im)))))) 4)) (+ re im) (* 2 re) 0 (+ re im) (* 2 re) 0 (+ re im) (* 2 re) 0 3.046 * * * [progress]: adding candidates to table 3.443 * [progress]: [Phase 3 of 3] Extracting. 3.443 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 3.447 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re) 3.447 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # # # #) 3.515 * * * * [regimes]: Trying to branch on (* im im) from (# #) 3.528 * * * * [regimes]: Trying to branch on im from (# # # # # # # # # #) 3.613 * * * * [regimes]: Trying to branch on re from (# # # # # # # # # #) 3.679 * * * [regime]: Found split indices: #