2.488 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.025 * * * [progress]: [2/2] Setting up program. 0.027 * [progress]: [Phase 2 of 3] Improving. 0.027 * [simplify]: Simplifying using # : (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.029 * * [simplify]: iteration 0 : 19 enodes (cost 8 ) 0.031 * * [simplify]: iteration 1 : 28 enodes (cost 8 ) 0.032 * * [simplify]: iteration 2 : 36 enodes (cost 8 ) 0.033 * * [simplify]: iteration 3 : 44 enodes (cost 8 ) 0.035 * * [simplify]: iteration 4 : 46 enodes (cost 8 ) 0.036 * * [simplify]: iteration 5 : 46 enodes (cost 8 ) 0.036 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.037 * * [progress]: iteration 1 / 4 0.037 * * * [progress]: picking best candidate 0.039 * * * * [pick]: Picked # 0.039 * * * [progress]: localizing error 0.049 * * * [progress]: generating rewritten candidates 0.049 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1) 0.053 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.077 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.106 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1) 0.111 * * * [progress]: generating series expansions 0.111 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 0.111 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.111 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.111 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.111 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.111 * [taylor]: Taking taylor expansion of re in im 0.111 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.111 * [taylor]: Taking taylor expansion of im in im 0.112 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.112 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.112 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.112 * [taylor]: Taking taylor expansion of re in re 0.112 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.112 * [taylor]: Taking taylor expansion of im in re 0.113 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.113 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.113 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.113 * [taylor]: Taking taylor expansion of re in re 0.113 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.113 * [taylor]: Taking taylor expansion of im in re 0.113 * [taylor]: Taking taylor expansion of im in im 0.113 * [taylor]: Taking taylor expansion of 0 in im 0.115 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.115 * [taylor]: Taking taylor expansion of 1/2 in im 0.115 * [taylor]: Taking taylor expansion of im in im 0.117 * [taylor]: Taking taylor expansion of 0 in im 0.118 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.118 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.118 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.118 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.118 * [taylor]: Taking taylor expansion of im in im 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.118 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.118 * [taylor]: Taking taylor expansion of re in im 0.121 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.121 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.121 * [taylor]: Taking taylor expansion of im in re 0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.121 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.121 * [taylor]: Taking taylor expansion of re in re 0.123 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.123 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.123 * [taylor]: Taking taylor expansion of im in re 0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.123 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.123 * [taylor]: Taking taylor expansion of re in re 0.126 * [taylor]: Taking taylor expansion of 1 in im 0.126 * [taylor]: Taking taylor expansion of 0 in im 0.127 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.128 * [taylor]: Taking taylor expansion of 1/2 in im 0.128 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.128 * [taylor]: Taking taylor expansion of im in im 0.131 * [taylor]: Taking taylor expansion of 0 in im 0.132 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.132 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.132 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow im 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 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.133 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.133 * [taylor]: Taking taylor expansion of re in im 0.134 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.135 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.135 * [taylor]: Taking taylor expansion of im in re 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.135 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.135 * [taylor]: Taking taylor expansion of re in re 0.137 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.137 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.137 * [taylor]: Taking taylor expansion of im in re 0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.137 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.137 * [taylor]: Taking taylor expansion of re in re 0.140 * [taylor]: Taking taylor expansion of 1 in im 0.140 * [taylor]: Taking taylor expansion of 0 in im 0.141 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.141 * [taylor]: Taking taylor expansion of 1/2 in im 0.141 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.141 * [taylor]: Taking taylor expansion of im in im 0.145 * [taylor]: Taking taylor expansion of 0 in im 0.146 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.146 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 0.146 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.146 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.146 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.146 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.146 * [taylor]: Taking taylor expansion of re in im 0.146 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.146 * [taylor]: Taking taylor expansion of im in im 0.147 * [taylor]: Taking taylor expansion of re in im 0.147 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.147 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.147 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.147 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.147 * [taylor]: Taking taylor expansion of re in re 0.147 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.147 * [taylor]: Taking taylor expansion of im in re 0.147 * [taylor]: Taking taylor expansion of re in re 0.147 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.147 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.147 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.147 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.147 * [taylor]: Taking taylor expansion of re in re 0.147 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.147 * [taylor]: Taking taylor expansion of im in re 0.148 * [taylor]: Taking taylor expansion of re in re 0.148 * [taylor]: Taking taylor expansion of im in im 0.149 * [taylor]: Taking taylor expansion of -1 in im 0.150 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.150 * [taylor]: Taking taylor expansion of 1/2 in im 0.150 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.150 * [taylor]: Taking taylor expansion of im in im 0.155 * [taylor]: Taking taylor expansion of 0 in im 0.157 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.157 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.157 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.157 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.157 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.157 * [taylor]: Taking taylor expansion of im in im 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.157 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.157 * [taylor]: Taking taylor expansion of re in im 0.159 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.159 * [taylor]: Taking taylor expansion of re in im 0.159 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.159 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.159 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.159 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.159 * [taylor]: Taking taylor expansion of im in re 0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.160 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.160 * [taylor]: Taking taylor expansion of re in re 0.162 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.162 * [taylor]: Taking taylor expansion of re in re 0.162 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.162 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.162 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.162 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.162 * [taylor]: Taking taylor expansion of im in re 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.162 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.162 * [taylor]: Taking taylor expansion of re in re 0.165 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.165 * [taylor]: Taking taylor expansion of re in re 0.165 * [taylor]: Taking taylor expansion of 0 in im 0.166 * [taylor]: Taking taylor expansion of 0 in im 0.169 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.169 * [taylor]: Taking taylor expansion of 1/2 in im 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.169 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.169 * [taylor]: Taking taylor expansion of im in im 0.173 * [taylor]: Taking taylor expansion of 0 in im 0.175 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.175 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.175 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.175 * [taylor]: Taking taylor expansion of re in im 0.175 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.175 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.175 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.175 * [taylor]: Taking taylor expansion of im in im 0.176 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.176 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.176 * [taylor]: Taking taylor expansion of re in im 0.178 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.178 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.178 * [taylor]: Taking taylor expansion of re in re 0.178 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.178 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.178 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.178 * [taylor]: Taking taylor expansion of im in re 0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.178 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.178 * [taylor]: Taking taylor expansion of re in re 0.180 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.180 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.180 * [taylor]: Taking taylor expansion of re in re 0.181 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.181 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.181 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.181 * [taylor]: Taking taylor expansion of im in re 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.181 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.181 * [taylor]: Taking taylor expansion of re in re 0.183 * [taylor]: Taking taylor expansion of 2 in im 0.184 * [taylor]: Taking taylor expansion of 0 in im 0.187 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.187 * [taylor]: Taking taylor expansion of 1/2 in im 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.187 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.187 * [taylor]: Taking taylor expansion of im in im 0.191 * [taylor]: Taking taylor expansion of 0 in im 0.192 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.193 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in (re im) around 0 0.193 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im 0.193 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.193 * [taylor]: Taking taylor expansion of 2.0 in im 0.193 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 0.193 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.193 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.193 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.194 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.194 * [taylor]: Taking taylor expansion of re in im 0.194 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.194 * [taylor]: Taking taylor expansion of im in im 0.194 * [taylor]: Taking taylor expansion of re in im 0.198 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) 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 0.199 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.199 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.199 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.199 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.199 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.199 * [taylor]: Taking taylor expansion of re in re 0.199 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.199 * [taylor]: Taking taylor expansion of im in re 0.199 * [taylor]: Taking taylor expansion of re in re 0.200 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.200 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.200 * [taylor]: Taking taylor expansion of 2.0 in re 0.201 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.201 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.201 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.201 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.201 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.201 * [taylor]: Taking taylor expansion of re in re 0.201 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.201 * [taylor]: Taking taylor expansion of im in re 0.201 * [taylor]: Taking taylor expansion of re in re 0.202 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.202 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.202 * [taylor]: Taking taylor expansion of 2.0 in im 0.203 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.203 * [taylor]: Taking taylor expansion of im in im 0.207 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 0.207 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.207 * [taylor]: Taking taylor expansion of 1/2 in im 0.207 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.207 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.207 * [taylor]: Taking taylor expansion of 2.0 in im 0.207 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.207 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.207 * [taylor]: Taking taylor expansion of im in im 0.228 * [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 0.228 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.228 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.228 * [taylor]: Taking taylor expansion of 2.0 in im 0.229 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.229 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.229 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.229 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.229 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.229 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.229 * [taylor]: Taking taylor expansion of im in im 0.229 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.229 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.229 * [taylor]: Taking taylor expansion of re in im 0.231 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.231 * [taylor]: Taking taylor expansion of re in im 0.232 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.232 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.232 * [taylor]: Taking taylor expansion of 2.0 in re 0.233 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.233 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.233 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.233 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.233 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.233 * [taylor]: Taking taylor expansion of im in re 0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.233 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.233 * [taylor]: Taking taylor expansion of re in re 0.238 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.238 * [taylor]: Taking taylor expansion of re in re 0.243 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.243 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.243 * [taylor]: Taking taylor expansion of 2.0 in re 0.243 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.243 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.243 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.243 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.244 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.244 * [taylor]: Taking taylor expansion of im in re 0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.244 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.244 * [taylor]: Taking taylor expansion of re in re 0.246 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.246 * [taylor]: Taking taylor expansion of re in re 0.251 * [taylor]: Taking taylor expansion of 0 in im 0.252 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.252 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.252 * [taylor]: Taking taylor expansion of +nan.0 in im 0.252 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.252 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.252 * [taylor]: Taking taylor expansion of 2.0 in im 0.252 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.252 * [taylor]: Taking taylor expansion of im in im 0.259 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.259 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.259 * [taylor]: Taking taylor expansion of +nan.0 in im 0.259 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.259 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.259 * [taylor]: Taking taylor expansion of 2.0 in im 0.260 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.260 * [taylor]: Taking taylor expansion of im in im 0.276 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.276 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.276 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.276 * [taylor]: Taking taylor expansion of +nan.0 in im 0.276 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.276 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.276 * [taylor]: Taking taylor expansion of 2.0 in im 0.276 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.276 * [taylor]: Taking taylor expansion of im in im 0.278 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.278 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.278 * [taylor]: Taking taylor expansion of +nan.0 in im 0.278 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) 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 0.278 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.278 * [taylor]: Taking taylor expansion of im in im 0.300 * [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 0.300 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.300 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.300 * [taylor]: Taking taylor expansion of 2.0 in im 0.301 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.301 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.301 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.301 * [taylor]: Taking taylor expansion of re in im 0.301 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.301 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.301 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.301 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.301 * [taylor]: Taking taylor expansion of im in im 0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.302 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.302 * [taylor]: Taking taylor expansion of re in im 0.305 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.305 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.305 * [taylor]: Taking taylor expansion of 2.0 in re 0.306 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.306 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.306 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.306 * [taylor]: Taking taylor expansion of re in re 0.306 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.306 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.306 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.306 * [taylor]: Taking taylor expansion of im in re 0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.306 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.306 * [taylor]: Taking taylor expansion of re in re 0.310 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.310 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.310 * [taylor]: Taking taylor expansion of 2.0 in re 0.310 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.310 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.310 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.310 * [taylor]: Taking taylor expansion of re in re 0.311 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.311 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.311 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.311 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.311 * [taylor]: Taking taylor expansion of im in re 0.311 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.311 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.311 * [taylor]: Taking taylor expansion of re in re 0.317 * [taylor]: Taking taylor expansion of 0 in im 0.318 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.318 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.318 * [taylor]: Taking taylor expansion of +nan.0 in im 0.318 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.318 * [taylor]: Taking taylor expansion of 2.0 in im 0.324 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.324 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.324 * [taylor]: Taking taylor expansion of +nan.0 in im 0.324 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.324 * [taylor]: Taking taylor expansion of 2.0 in im 0.332 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.332 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.332 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.332 * [taylor]: Taking taylor expansion of +nan.0 in im 0.332 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.332 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.332 * [taylor]: Taking taylor expansion of 2.0 in im 0.332 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.332 * [taylor]: Taking taylor expansion of im in im 0.333 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.333 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.333 * [taylor]: Taking taylor expansion of +nan.0 in im 0.333 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.333 * [taylor]: Taking taylor expansion of 2.0 in im 0.344 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.344 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.344 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.344 * [taylor]: Taking taylor expansion of +nan.0 in im 0.344 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.344 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.344 * [taylor]: Taking taylor expansion of 2.0 in im 0.345 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.345 * [taylor]: Taking taylor expansion of im in im 0.345 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.346 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.346 * [taylor]: Taking taylor expansion of +nan.0 in im 0.346 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.346 * [taylor]: Taking taylor expansion of 2.0 in im 0.358 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1) 0.359 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.359 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.359 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.359 * [taylor]: Taking taylor expansion of re in im 0.359 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.359 * [taylor]: Taking taylor expansion of im in im 0.359 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.359 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.359 * [taylor]: Taking taylor expansion of re in re 0.359 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.359 * [taylor]: Taking taylor expansion of im in re 0.359 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.359 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.359 * [taylor]: Taking taylor expansion of re in re 0.359 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.359 * [taylor]: Taking taylor expansion of im in re 0.359 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.359 * [taylor]: Taking taylor expansion of im in im 0.359 * [taylor]: Taking taylor expansion of 0 in im 0.360 * [taylor]: Taking taylor expansion of 1 in im 0.361 * [taylor]: Taking taylor expansion of 0 in im 0.363 * [taylor]: Taking taylor expansion of 0 in im 0.364 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.364 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.364 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.364 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.364 * [taylor]: Taking taylor expansion of im in im 0.364 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.364 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.364 * [taylor]: Taking taylor expansion of re in im 0.364 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.364 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.364 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.364 * [taylor]: Taking taylor expansion of im in re 0.364 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.364 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.364 * [taylor]: Taking taylor expansion of re in re 0.365 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.365 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.365 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.365 * [taylor]: Taking taylor expansion of im in re 0.365 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.365 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.365 * [taylor]: Taking taylor expansion of re in re 0.366 * [taylor]: Taking taylor expansion of 1 in im 0.367 * [taylor]: Taking taylor expansion of 0 in im 0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.368 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.368 * [taylor]: Taking taylor expansion of im in im 0.370 * [taylor]: Taking taylor expansion of 0 in im 0.373 * [taylor]: Taking taylor expansion of 0 in im 0.374 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.374 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.374 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.374 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.374 * [taylor]: Taking taylor expansion of im in im 0.375 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.375 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.375 * [taylor]: Taking taylor expansion of re in im 0.375 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.375 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.375 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.375 * [taylor]: Taking taylor expansion of im in re 0.375 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.375 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.375 * [taylor]: Taking taylor expansion of re in re 0.376 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.376 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.376 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.376 * [taylor]: Taking taylor expansion of im in re 0.376 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.376 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.376 * [taylor]: Taking taylor expansion of re in re 0.377 * [taylor]: Taking taylor expansion of 1 in im 0.378 * [taylor]: Taking taylor expansion of 0 in im 0.379 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.379 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.379 * [taylor]: Taking taylor expansion of im in im 0.381 * [taylor]: Taking taylor expansion of 0 in im 0.383 * [taylor]: Taking taylor expansion of 0 in im 0.385 * * * [progress]: simplifying candidates 0.386 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (fma (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt 1) (sqrt (+ (* re re) (* im im))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt 1) (sqrt (+ (* re re) (* im im))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt 1) (sqrt (+ (* re re) (* im im))) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma 1 (sqrt (+ (* re re) (* im im))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma 1 (sqrt (+ (* re re) (* im im))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma 1 (sqrt (+ (* re re) (* im im))) (- (* re 1))) (fma (- re) 1 (* re 1)) (expm1 (- (sqrt (+ (* re re) (* im im))) re)) (log1p (- (sqrt (+ (* re re) (* im im))) re)) (- re) (- re) (- re) (- re) (- re) (- re) (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- re) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (- re) (expm1 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (log1p (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (log (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (* (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (expm1 (+ (* re re) (* im im))) (log1p (+ (* re re) (* im im))) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) im re (* -1 re) (- im re) 0 (* -2 re) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) (* im re)))))))) 0 (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 0.392 * * [simplify]: iteration 0 : 342 enodes (cost 834 ) 0.398 * * [simplify]: iteration 1 : 1366 enodes (cost 586 ) 0.426 * * [simplify]: iteration 2 : 5001 enodes (cost 533 ) 0.430 * [simplify]: Simplified to: (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (pow (exp 1) (hypot re im)) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (hypot re im) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (hypot re im) (hypot (pow im 3) (pow re 3)) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) 0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) 0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) 0 (fma (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))) (* -1 re)) 0 (fma (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))) (* -1 re)) 0 (fma (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))) (* -1 re)) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (expm1 (- (sqrt (+ (* re re) (* im im))) re)) (log1p (- (sqrt (+ (* re re) (* im im))) re)) (* -1 re) (* -1 re) (* -1 re) (* -1 re) (* -1 re) (* -1 re) (exp (- (hypot re im) re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (hypot re im) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (pow (- (hypot re im) re) 3) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (+ (- (pow re 3)) (pow (hypot re im) 3)) (fma re (+ re (hypot re im)) (fma re re (* im im))) (* -1 re) (+ (pow im 2) 0) (+ re (hypot re im)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (hypot re im) re) (* -1 re) (expm1 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (log1p (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (log (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3) (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (expm1 (+ (* re re) (* im im))) (log1p (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (pow (hypot re im) 6) (hypot re im) (hypot re im) (fma (* (pow im 4) im) im (pow re 6)) (fma im (- (pow im 3) (* (pow re 2) im)) (pow re 4)) (fma (- (pow im 3)) im (pow re 4)) (- (* re re) (* im im)) im re (* -1 re) (- im re) 0 (* -2 re) (* (* +nan.0 (sqrt 2.0)) (+ (- (* im im)) (- im (* im re)))) 0 (fma (- (sqrt 2.0)) +nan.0 (* +nan.0 (- (/ (sqrt 2.0) (pow re 2)) (/ (sqrt 2.0) re)))) (fma re re (* im im)) (fma re re (* im im)) (fma re re (* im im)) 0.430 * * * [progress]: adding candidates to table 0.650 * * [progress]: iteration 2 / 4 0.650 * * * [progress]: picking best candidate 0.664 * * * * [pick]: Picked # 0.664 * * * [progress]: localizing error 0.673 * * * [progress]: generating rewritten candidates 0.673 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 2 1) 0.676 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.687 * * * [progress]: generating series expansions 0.687 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 2 1) 0.688 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 0.688 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 0.688 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.688 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.688 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.688 * [taylor]: Taking taylor expansion of (* re re) in im 0.688 * [taylor]: Taking taylor expansion of re in im 0.688 * [taylor]: Taking taylor expansion of re in im 0.688 * [taylor]: Taking taylor expansion of (* im im) in im 0.688 * [taylor]: Taking taylor expansion of im in im 0.688 * [taylor]: Taking taylor expansion of im in im 0.689 * [taylor]: Taking taylor expansion of re in im 0.689 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.689 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.689 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.689 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.689 * [taylor]: Taking taylor expansion of (* re re) in re 0.689 * [taylor]: Taking taylor expansion of re in re 0.689 * [taylor]: Taking taylor expansion of re in re 0.689 * [taylor]: Taking taylor expansion of (* im im) in re 0.689 * [taylor]: Taking taylor expansion of im in re 0.689 * [taylor]: Taking taylor expansion of im in re 0.691 * [taylor]: Taking taylor expansion of re in re 0.691 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.691 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.691 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.691 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.691 * [taylor]: Taking taylor expansion of (* re re) in re 0.691 * [taylor]: Taking taylor expansion of re in re 0.691 * [taylor]: Taking taylor expansion of re in re 0.691 * [taylor]: Taking taylor expansion of (* im im) in re 0.691 * [taylor]: Taking taylor expansion of im in re 0.691 * [taylor]: Taking taylor expansion of im in re 0.692 * [taylor]: Taking taylor expansion of re in re 0.692 * [taylor]: Taking taylor expansion of im in im 0.693 * [taylor]: Taking taylor expansion of -1 in im 0.694 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.694 * [taylor]: Taking taylor expansion of 1/2 in im 0.694 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.694 * [taylor]: Taking taylor expansion of im in im 0.697 * [taylor]: Taking taylor expansion of 0 in im 0.698 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 0.699 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.699 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.699 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.699 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.699 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.699 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.699 * [taylor]: Taking taylor expansion of re in im 0.699 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.699 * [taylor]: Taking taylor expansion of re in im 0.699 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.699 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.699 * [taylor]: Taking taylor expansion of im in im 0.699 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.699 * [taylor]: Taking taylor expansion of im in im 0.702 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.702 * [taylor]: Taking taylor expansion of re in im 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 re in re 0.702 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.702 * [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 im in re 0.703 * [taylor]: Taking taylor expansion of (/ 1 im) 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 0.705 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.705 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.706 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.706 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.706 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.706 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.706 * [taylor]: Taking taylor expansion of re in re 0.706 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.706 * [taylor]: Taking taylor expansion of re in re 0.706 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.706 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.706 * [taylor]: Taking taylor expansion of im in re 0.706 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.706 * [taylor]: Taking taylor expansion of im in re 0.709 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.709 * [taylor]: Taking taylor expansion of re in re 0.710 * [taylor]: Taking taylor expansion of 0 in im 0.710 * [taylor]: Taking taylor expansion of 0 in im 0.714 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.714 * [taylor]: Taking taylor expansion of 1/2 in im 0.714 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.714 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.714 * [taylor]: Taking taylor expansion of im in im 0.719 * [taylor]: Taking taylor expansion of 0 in im 0.720 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 0.720 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 0.720 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.720 * [taylor]: Taking taylor expansion of re in im 0.720 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.720 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.720 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.721 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.721 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.721 * [taylor]: Taking taylor expansion of -1 in im 0.721 * [taylor]: Taking taylor expansion of re in im 0.721 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.721 * [taylor]: Taking taylor expansion of -1 in im 0.721 * [taylor]: Taking taylor expansion of re in im 0.721 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.721 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.721 * [taylor]: Taking taylor expansion of -1 in im 0.721 * [taylor]: Taking taylor expansion of im in im 0.721 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.721 * [taylor]: Taking taylor expansion of -1 in im 0.721 * [taylor]: Taking taylor expansion of im in im 0.724 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.724 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.724 * [taylor]: Taking taylor expansion of re in re 0.724 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.724 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.724 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.724 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.724 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.724 * [taylor]: Taking taylor expansion of -1 in re 0.724 * [taylor]: Taking taylor expansion of re in re 0.725 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.725 * [taylor]: Taking taylor expansion of -1 in re 0.725 * [taylor]: Taking taylor expansion of re in re 0.725 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.725 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.725 * [taylor]: Taking taylor expansion of -1 in re 0.725 * [taylor]: Taking taylor expansion of im in re 0.725 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.725 * [taylor]: Taking taylor expansion of -1 in re 0.725 * [taylor]: Taking taylor expansion of im in re 0.728 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.728 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.728 * [taylor]: Taking taylor expansion of re in re 0.728 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.728 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.728 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.728 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.728 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.728 * [taylor]: Taking taylor expansion of -1 in re 0.728 * [taylor]: Taking taylor expansion of re in re 0.729 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.729 * [taylor]: Taking taylor expansion of -1 in re 0.729 * [taylor]: Taking taylor expansion of re in re 0.729 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.729 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.729 * [taylor]: Taking taylor expansion of -1 in re 0.729 * [taylor]: Taking taylor expansion of im in re 0.729 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.729 * [taylor]: Taking taylor expansion of -1 in re 0.729 * [taylor]: Taking taylor expansion of im in re 0.732 * [taylor]: Taking taylor expansion of 2 in im 0.733 * [taylor]: Taking taylor expansion of 0 in im 0.738 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.739 * [taylor]: Taking taylor expansion of 1/2 in im 0.739 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.739 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.739 * [taylor]: Taking taylor expansion of im in im 0.743 * [taylor]: Taking taylor expansion of 0 in im 0.745 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.745 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in (re im) around 0 0.745 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in im 0.745 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.745 * [taylor]: Taking taylor expansion of 2.0 in im 0.746 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in im 0.746 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 0.746 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.746 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.746 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.746 * [taylor]: Taking taylor expansion of (* re re) in im 0.746 * [taylor]: Taking taylor expansion of re in im 0.746 * [taylor]: Taking taylor expansion of re in im 0.746 * [taylor]: Taking taylor expansion of (* im im) in im 0.746 * [taylor]: Taking taylor expansion of im in im 0.746 * [taylor]: Taking taylor expansion of im in im 0.747 * [taylor]: Taking taylor expansion of re in im 0.751 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 0.751 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.751 * [taylor]: Taking taylor expansion of 2.0 in re 0.752 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 0.752 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.752 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.752 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.752 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.752 * [taylor]: Taking taylor expansion of (* re re) in re 0.752 * [taylor]: Taking taylor expansion of re in re 0.752 * [taylor]: Taking taylor expansion of re in re 0.752 * [taylor]: Taking taylor expansion of (* im im) in re 0.752 * [taylor]: Taking taylor expansion of im in re 0.752 * [taylor]: Taking taylor expansion of im in re 0.753 * [taylor]: Taking taylor expansion of re in re 0.754 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 0.754 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.754 * [taylor]: Taking taylor expansion of 2.0 in re 0.755 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 0.755 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.755 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.755 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.755 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.755 * [taylor]: Taking taylor expansion of (* re re) in re 0.755 * [taylor]: Taking taylor expansion of re in re 0.755 * [taylor]: Taking taylor expansion of re in re 0.755 * [taylor]: Taking taylor expansion of (* im im) in re 0.755 * [taylor]: Taking taylor expansion of im in re 0.755 * [taylor]: Taking taylor expansion of im in re 0.756 * [taylor]: Taking taylor expansion of re in re 0.757 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.757 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.757 * [taylor]: Taking taylor expansion of 2.0 in im 0.758 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.758 * [taylor]: Taking taylor expansion of im in im 0.761 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 0.761 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.762 * [taylor]: Taking taylor expansion of 1/2 in im 0.762 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.762 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.762 * [taylor]: Taking taylor expansion of 2.0 in im 0.762 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.762 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.762 * [taylor]: Taking taylor expansion of im in im 0.782 * [approximate]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 0.782 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im 0.782 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 0.782 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.782 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.783 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.783 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.783 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.783 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.783 * [taylor]: Taking taylor expansion of re in im 0.783 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.783 * [taylor]: Taking taylor expansion of re in im 0.783 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.783 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.783 * [taylor]: Taking taylor expansion of im in im 0.783 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.783 * [taylor]: Taking taylor expansion of im in im 0.786 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.786 * [taylor]: Taking taylor expansion of re in im 0.787 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.787 * [taylor]: Taking taylor expansion of 2.0 in im 0.788 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 0.788 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 0.788 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.788 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.788 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.788 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.788 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.788 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.788 * [taylor]: Taking taylor expansion of re in re 0.788 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.788 * [taylor]: Taking taylor expansion of re in re 0.789 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.789 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.789 * [taylor]: Taking taylor expansion of im in re 0.789 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.789 * [taylor]: Taking taylor expansion of im in re 0.791 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.791 * [taylor]: Taking taylor expansion of re in re 0.796 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.797 * [taylor]: Taking taylor expansion of 2.0 in re 0.797 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 0.797 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 0.797 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.797 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.797 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.797 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.797 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.797 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.797 * [taylor]: Taking taylor expansion of re in re 0.798 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.798 * [taylor]: Taking taylor expansion of re in re 0.798 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.798 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.798 * [taylor]: Taking taylor expansion of im in re 0.798 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.798 * [taylor]: Taking taylor expansion of im in re 0.800 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.801 * [taylor]: Taking taylor expansion of re in re 0.806 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.806 * [taylor]: Taking taylor expansion of 2.0 in re 0.807 * [taylor]: Taking taylor expansion of 0 in im 0.808 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.808 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.808 * [taylor]: Taking taylor expansion of +nan.0 in im 0.808 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.808 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.808 * [taylor]: Taking taylor expansion of 2.0 in im 0.808 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.808 * [taylor]: Taking taylor expansion of im in im 0.816 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.816 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.816 * [taylor]: Taking taylor expansion of +nan.0 in im 0.816 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.816 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.816 * [taylor]: Taking taylor expansion of 2.0 in im 0.816 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.817 * [taylor]: Taking taylor expansion of im in im 0.836 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.836 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.836 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.836 * [taylor]: Taking taylor expansion of +nan.0 in im 0.836 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.836 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.836 * [taylor]: Taking taylor expansion of 2.0 in im 0.837 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.837 * [taylor]: Taking taylor expansion of im in im 0.838 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.838 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.838 * [taylor]: Taking taylor expansion of +nan.0 in im 0.838 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.838 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.838 * [taylor]: Taking taylor expansion of 2.0 in im 0.839 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.839 * [taylor]: Taking taylor expansion of im in im 0.861 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in (re im) around 0 0.861 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in im 0.861 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.861 * [taylor]: Taking taylor expansion of 2.0 in im 0.861 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in im 0.861 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 0.862 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.862 * [taylor]: Taking taylor expansion of re in im 0.862 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.862 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.862 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.862 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.862 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.862 * [taylor]: Taking taylor expansion of -1 in im 0.862 * [taylor]: Taking taylor expansion of re in im 0.862 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.862 * [taylor]: Taking taylor expansion of -1 in im 0.862 * [taylor]: Taking taylor expansion of re in im 0.862 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.862 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.862 * [taylor]: Taking taylor expansion of -1 in im 0.862 * [taylor]: Taking taylor expansion of im in im 0.862 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.862 * [taylor]: Taking taylor expansion of -1 in im 0.862 * [taylor]: Taking taylor expansion of im in im 0.866 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 0.866 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.866 * [taylor]: Taking taylor expansion of 2.0 in re 0.867 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 0.867 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.867 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.867 * [taylor]: Taking taylor expansion of re in re 0.867 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.867 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.868 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.868 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.868 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.868 * [taylor]: Taking taylor expansion of -1 in re 0.868 * [taylor]: Taking taylor expansion of re in re 0.868 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.868 * [taylor]: Taking taylor expansion of -1 in re 0.868 * [taylor]: Taking taylor expansion of re in re 0.868 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.868 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.868 * [taylor]: Taking taylor expansion of -1 in re 0.868 * [taylor]: Taking taylor expansion of im in re 0.868 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.868 * [taylor]: Taking taylor expansion of -1 in re 0.868 * [taylor]: Taking taylor expansion of im in re 0.872 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 0.872 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.872 * [taylor]: Taking taylor expansion of 2.0 in re 0.873 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 0.873 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.873 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.873 * [taylor]: Taking taylor expansion of re in re 0.873 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.873 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.873 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.873 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.873 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.873 * [taylor]: Taking taylor expansion of -1 in re 0.873 * [taylor]: Taking taylor expansion of re in re 0.874 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.874 * [taylor]: Taking taylor expansion of -1 in re 0.874 * [taylor]: Taking taylor expansion of re in re 0.874 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.874 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.874 * [taylor]: Taking taylor expansion of -1 in re 0.874 * [taylor]: Taking taylor expansion of im in re 0.874 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.874 * [taylor]: Taking taylor expansion of -1 in re 0.874 * [taylor]: Taking taylor expansion of im in re 0.878 * [taylor]: Taking taylor expansion of 0 in im 0.879 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.880 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.880 * [taylor]: Taking taylor expansion of +nan.0 in im 0.880 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.880 * [taylor]: Taking taylor expansion of 2.0 in im 0.885 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.885 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.885 * [taylor]: Taking taylor expansion of +nan.0 in im 0.885 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.885 * [taylor]: Taking taylor expansion of 2.0 in im 0.893 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.894 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.894 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.894 * [taylor]: Taking taylor expansion of +nan.0 in im 0.894 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.894 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.894 * [taylor]: Taking taylor expansion of 2.0 in im 0.894 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.894 * [taylor]: Taking taylor expansion of im in im 0.895 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.895 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.895 * [taylor]: Taking taylor expansion of +nan.0 in im 0.895 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.895 * [taylor]: Taking taylor expansion of 2.0 in im 0.910 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.910 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.910 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.910 * [taylor]: Taking taylor expansion of +nan.0 in im 0.910 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.910 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.910 * [taylor]: Taking taylor expansion of 2.0 in im 0.911 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.911 * [taylor]: Taking taylor expansion of im in im 0.911 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.911 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.911 * [taylor]: Taking taylor expansion of +nan.0 in im 0.912 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.912 * [taylor]: Taking taylor expansion of 2.0 in im 0.924 * * * [progress]: simplifying candidates 0.925 * [simplify]: Simplifying using # : (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma 1 (hypot re im) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma 1 (hypot re im) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma 1 (hypot re im) (- (* re 1))) (fma (- re) 1 (* re 1)) (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (- re) (- re) (/ (exp (hypot re im)) (exp re)) (log (- (hypot re im) re)) (exp (- (hypot re im) re)) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (- (pow (hypot re im) 3) (pow re 3)) (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re))) (- re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- (hypot re im) re) (- re) (expm1 (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (log1p (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (log (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (exp (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (* (cbrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (cbrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0))))) (cbrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (* (* (sqrt (* 2.0 (+ (- (hypot re im) re) 0))) (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (sqrt 2.0) (sqrt (+ (- (hypot re im) re) 0)) (sqrt (* 2.0 (+ (pow (- (hypot re im) re) 3) (pow 0 3)))) (sqrt (+ (* (- (hypot re im) re) (- (hypot re im) re)) (- (* 0 0) (* (- (hypot re im) re) 0)))) (sqrt (* 2.0 (- (* (- (hypot re im) re) (- (hypot re im) re)) (* 0 0)))) (sqrt (- (- (hypot re im) re) 0)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (- im re) 0 (* -2 re) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) (* im re)))))))) 0 (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0.929 * * [simplify]: iteration 0 : 273 enodes (cost 321 ) 0.934 * * [simplify]: iteration 1 : 1082 enodes (cost 232 ) 0.967 * * [simplify]: iteration 2 : 5001 enodes (cost 228 ) 0.968 * [simplify]: Simplified to: (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (fma (- re) 1 re) (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (fma (- re) 1 re) (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (- re) (- re) (exp (- (hypot re im) re)) (log (- (hypot re im) re)) (exp (- (hypot re im) re)) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (pow (- (hypot re im) re) 3) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (- (pow (hypot re im) 3) (pow re 3)) (fma (hypot re im) (hypot re im) (fma re re (* (hypot re im) re))) (- re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- (hypot re im) re) (- re) (expm1 (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (log1p (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (log (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (exp (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (* (cbrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (cbrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0))))) (cbrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (pow (sqrt (* 2.0 (+ (- (hypot re im) re) 0))) 3) (sqrt 2.0) (sqrt (- (hypot re im) re)) (sqrt (* 2.0 (+ (pow (- (hypot re im) re) 3) 0))) (fabs (- (hypot re im) re)) (sqrt (* 2.0 (- (* (- (hypot re im) re) (- (hypot re im) re)) 0))) (sqrt (- (hypot re im) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (- im re) 0 (* -2 re) (* (* +nan.0 (sqrt 2.0)) (+ (- (pow im 2)) (- im (* im re)))) 0 (fma (- (sqrt 2.0)) +nan.0 (* +nan.0 (- (/ (sqrt 2.0) (pow re 2)) (/ (sqrt 2.0) re)))) 0.968 * * * [progress]: adding candidates to table 1.075 * * [progress]: iteration 3 / 4 1.075 * * * [progress]: picking best candidate 1.089 * * * * [pick]: Picked # 1.089 * * * [progress]: localizing error 1.097 * * * [progress]: generating rewritten candidates 1.097 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 2 1) 1.100 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 1.113 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2) 1.123 * * * [progress]: generating series expansions 1.123 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 2 1) 1.123 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 1.123 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 1.123 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.123 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.123 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.123 * [taylor]: Taking taylor expansion of (* re re) in im 1.123 * [taylor]: Taking taylor expansion of re in im 1.123 * [taylor]: Taking taylor expansion of re in im 1.123 * [taylor]: Taking taylor expansion of (* im im) in im 1.123 * [taylor]: Taking taylor expansion of im in im 1.123 * [taylor]: Taking taylor expansion of im in im 1.125 * [taylor]: Taking taylor expansion of re in im 1.125 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.125 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.125 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.125 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.125 * [taylor]: Taking taylor expansion of (* re re) in re 1.125 * [taylor]: Taking taylor expansion of re in re 1.125 * [taylor]: Taking taylor expansion of re in re 1.125 * [taylor]: Taking taylor expansion of (* im im) in re 1.125 * [taylor]: Taking taylor expansion of im in re 1.125 * [taylor]: Taking taylor expansion of im in re 1.126 * [taylor]: Taking taylor expansion of re in re 1.126 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.126 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.126 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.126 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.126 * [taylor]: Taking taylor expansion of (* re re) in re 1.126 * [taylor]: Taking taylor expansion of re in re 1.126 * [taylor]: Taking taylor expansion of re in re 1.126 * [taylor]: Taking taylor expansion of (* im im) in re 1.126 * [taylor]: Taking taylor expansion of im in re 1.126 * [taylor]: Taking taylor expansion of im in re 1.127 * [taylor]: Taking taylor expansion of re in re 1.128 * [taylor]: Taking taylor expansion of im in im 1.128 * [taylor]: Taking taylor expansion of -1 in im 1.130 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.130 * [taylor]: Taking taylor expansion of 1/2 in im 1.130 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.130 * [taylor]: Taking taylor expansion of im in im 1.133 * [taylor]: Taking taylor expansion of 0 in im 1.134 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 1.134 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.134 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.134 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.134 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.134 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.134 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.134 * [taylor]: Taking taylor expansion of re in im 1.134 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.134 * [taylor]: Taking taylor expansion of re in im 1.134 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.134 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.134 * [taylor]: Taking taylor expansion of im in im 1.135 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.135 * [taylor]: Taking taylor expansion of im in im 1.137 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.137 * [taylor]: Taking taylor expansion of re in im 1.137 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.137 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.137 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.137 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.138 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.138 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.138 * [taylor]: Taking taylor expansion of re in re 1.138 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.138 * [taylor]: Taking taylor expansion of re in re 1.138 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.138 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.138 * [taylor]: Taking taylor expansion of im in re 1.138 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.138 * [taylor]: Taking taylor expansion of im in re 1.141 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.141 * [taylor]: Taking taylor expansion of re in re 1.141 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.141 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.141 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.141 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.141 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.141 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.141 * [taylor]: Taking taylor expansion of re in re 1.142 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.142 * [taylor]: Taking taylor expansion of re in re 1.142 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.142 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.142 * [taylor]: Taking taylor expansion of im in re 1.142 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.142 * [taylor]: Taking taylor expansion of im in re 1.144 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.144 * [taylor]: Taking taylor expansion of re in re 1.145 * [taylor]: Taking taylor expansion of 0 in im 1.146 * [taylor]: Taking taylor expansion of 0 in im 1.149 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.149 * [taylor]: Taking taylor expansion of 1/2 in im 1.149 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.149 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.149 * [taylor]: Taking taylor expansion of im in im 1.154 * [taylor]: Taking taylor expansion of 0 in im 1.156 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 1.156 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 1.156 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.156 * [taylor]: Taking taylor expansion of re in im 1.156 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.156 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.156 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.156 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.156 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.156 * [taylor]: Taking taylor expansion of -1 in im 1.156 * [taylor]: Taking taylor expansion of re in im 1.156 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.156 * [taylor]: Taking taylor expansion of -1 in im 1.156 * [taylor]: Taking taylor expansion of re in im 1.156 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.156 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.156 * [taylor]: Taking taylor expansion of -1 in im 1.156 * [taylor]: Taking taylor expansion of im in im 1.156 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.156 * [taylor]: Taking taylor expansion of -1 in im 1.156 * [taylor]: Taking taylor expansion of im in im 1.159 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.159 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.159 * [taylor]: Taking taylor expansion of re in re 1.159 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.160 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.160 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.160 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.160 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.160 * [taylor]: Taking taylor expansion of -1 in re 1.160 * [taylor]: Taking taylor expansion of re in re 1.160 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.160 * [taylor]: Taking taylor expansion of -1 in re 1.160 * [taylor]: Taking taylor expansion of re in re 1.160 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.160 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.160 * [taylor]: Taking taylor expansion of -1 in re 1.160 * [taylor]: Taking taylor expansion of im in re 1.160 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.160 * [taylor]: Taking taylor expansion of -1 in re 1.160 * [taylor]: Taking taylor expansion of im in re 1.163 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.163 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.163 * [taylor]: Taking taylor expansion of re in re 1.163 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.163 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.163 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.163 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.163 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.163 * [taylor]: Taking taylor expansion of -1 in re 1.163 * [taylor]: Taking taylor expansion of re in re 1.164 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.164 * [taylor]: Taking taylor expansion of -1 in re 1.164 * [taylor]: Taking taylor expansion of re in re 1.164 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.164 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.164 * [taylor]: Taking taylor expansion of -1 in re 1.164 * [taylor]: Taking taylor expansion of im in re 1.164 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.164 * [taylor]: Taking taylor expansion of -1 in re 1.164 * [taylor]: Taking taylor expansion of im in re 1.167 * [taylor]: Taking taylor expansion of 2 in im 1.168 * [taylor]: Taking taylor expansion of 0 in im 1.171 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.171 * [taylor]: Taking taylor expansion of 1/2 in im 1.171 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.171 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.171 * [taylor]: Taking taylor expansion of im in im 1.176 * [taylor]: Taking taylor expansion of 0 in im 1.177 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 1.178 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in (re im) around 0 1.178 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in im 1.178 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.178 * [taylor]: Taking taylor expansion of 2.0 in im 1.178 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in im 1.178 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 1.178 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.178 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.178 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.178 * [taylor]: Taking taylor expansion of (* re re) in im 1.178 * [taylor]: Taking taylor expansion of re in im 1.179 * [taylor]: Taking taylor expansion of re in im 1.179 * [taylor]: Taking taylor expansion of (* im im) in im 1.179 * [taylor]: Taking taylor expansion of im in im 1.179 * [taylor]: Taking taylor expansion of im in im 1.180 * [taylor]: Taking taylor expansion of re in im 1.184 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 1.184 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.184 * [taylor]: Taking taylor expansion of 2.0 in re 1.184 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 1.184 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.184 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.185 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.185 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.185 * [taylor]: Taking taylor expansion of (* re re) in re 1.185 * [taylor]: Taking taylor expansion of re in re 1.185 * [taylor]: Taking taylor expansion of re in re 1.185 * [taylor]: Taking taylor expansion of (* im im) in re 1.185 * [taylor]: Taking taylor expansion of im in re 1.185 * [taylor]: Taking taylor expansion of im in re 1.186 * [taylor]: Taking taylor expansion of re in re 1.187 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 1.187 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.187 * [taylor]: Taking taylor expansion of 2.0 in re 1.187 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 1.187 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.187 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.187 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.187 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.187 * [taylor]: Taking taylor expansion of (* re re) in re 1.187 * [taylor]: Taking taylor expansion of re in re 1.187 * [taylor]: Taking taylor expansion of re in re 1.187 * [taylor]: Taking taylor expansion of (* im im) in re 1.187 * [taylor]: Taking taylor expansion of im in re 1.188 * [taylor]: Taking taylor expansion of im in re 1.189 * [taylor]: Taking taylor expansion of re in re 1.190 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 1.190 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.190 * [taylor]: Taking taylor expansion of 2.0 in im 1.191 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.191 * [taylor]: Taking taylor expansion of im in im 1.194 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 1.194 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 1.194 * [taylor]: Taking taylor expansion of 1/2 in im 1.194 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 1.194 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.194 * [taylor]: Taking taylor expansion of 2.0 in im 1.195 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.195 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.195 * [taylor]: Taking taylor expansion of im in im 1.217 * [approximate]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 1.217 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im 1.217 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 1.217 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.217 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.217 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.218 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.218 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.218 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.218 * [taylor]: Taking taylor expansion of re in im 1.218 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.218 * [taylor]: Taking taylor expansion of re in im 1.218 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.218 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.218 * [taylor]: Taking taylor expansion of im in im 1.218 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.218 * [taylor]: Taking taylor expansion of im in im 1.221 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.221 * [taylor]: Taking taylor expansion of re in im 1.222 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.222 * [taylor]: Taking taylor expansion of 2.0 in im 1.223 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 1.223 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.223 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.223 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.223 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.223 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.223 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.223 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.223 * [taylor]: Taking taylor expansion of re in re 1.223 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.223 * [taylor]: Taking taylor expansion of re in re 1.223 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.223 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.223 * [taylor]: Taking taylor expansion of im in re 1.223 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.223 * [taylor]: Taking taylor expansion of im in re 1.226 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.226 * [taylor]: Taking taylor expansion of re in re 1.231 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.231 * [taylor]: Taking taylor expansion of 2.0 in re 1.232 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 1.232 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.232 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.232 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.232 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.232 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.232 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.232 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.232 * [taylor]: Taking taylor expansion of re in re 1.232 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.232 * [taylor]: Taking taylor expansion of re in re 1.232 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.233 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.233 * [taylor]: Taking taylor expansion of im in re 1.233 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.233 * [taylor]: Taking taylor expansion of im in re 1.235 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.235 * [taylor]: Taking taylor expansion of re in re 1.240 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.240 * [taylor]: Taking taylor expansion of 2.0 in re 1.241 * [taylor]: Taking taylor expansion of 0 in im 1.242 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 1.242 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.242 * [taylor]: Taking taylor expansion of +nan.0 in im 1.242 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.242 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.242 * [taylor]: Taking taylor expansion of 2.0 in im 1.243 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.243 * [taylor]: Taking taylor expansion of im in im 1.250 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 1.250 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.250 * [taylor]: Taking taylor expansion of +nan.0 in im 1.250 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.250 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.250 * [taylor]: Taking taylor expansion of 2.0 in im 1.251 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.251 * [taylor]: Taking taylor expansion of im in im 1.267 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 1.267 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 1.267 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.267 * [taylor]: Taking taylor expansion of +nan.0 in im 1.267 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.267 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.267 * [taylor]: Taking taylor expansion of 2.0 in im 1.268 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.268 * [taylor]: Taking taylor expansion of im in im 1.269 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 1.269 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 1.269 * [taylor]: Taking taylor expansion of +nan.0 in im 1.269 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 1.269 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.269 * [taylor]: Taking taylor expansion of 2.0 in im 1.269 * [taylor]: Taking taylor expansion of (pow im 6) in im 1.270 * [taylor]: Taking taylor expansion of im in im 1.295 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in (re im) around 0 1.295 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in im 1.295 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.295 * [taylor]: Taking taylor expansion of 2.0 in im 1.296 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in im 1.296 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 1.296 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.296 * [taylor]: Taking taylor expansion of re in im 1.296 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.296 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.296 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.296 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.296 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.296 * [taylor]: Taking taylor expansion of -1 in im 1.296 * [taylor]: Taking taylor expansion of re in im 1.296 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.296 * [taylor]: Taking taylor expansion of -1 in im 1.296 * [taylor]: Taking taylor expansion of re in im 1.296 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.296 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.296 * [taylor]: Taking taylor expansion of -1 in im 1.296 * [taylor]: Taking taylor expansion of im in im 1.297 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.297 * [taylor]: Taking taylor expansion of -1 in im 1.297 * [taylor]: Taking taylor expansion of im in im 1.301 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 1.301 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.301 * [taylor]: Taking taylor expansion of 2.0 in re 1.301 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 1.301 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.301 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.301 * [taylor]: Taking taylor expansion of re in re 1.302 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.302 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.302 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.302 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.302 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.302 * [taylor]: Taking taylor expansion of -1 in re 1.302 * [taylor]: Taking taylor expansion of re in re 1.302 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.302 * [taylor]: Taking taylor expansion of -1 in re 1.302 * [taylor]: Taking taylor expansion of re in re 1.302 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.302 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.303 * [taylor]: Taking taylor expansion of -1 in re 1.303 * [taylor]: Taking taylor expansion of im in re 1.303 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.303 * [taylor]: Taking taylor expansion of -1 in re 1.303 * [taylor]: Taking taylor expansion of im in re 1.306 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 1.306 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.306 * [taylor]: Taking taylor expansion of 2.0 in re 1.307 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 1.307 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.307 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.307 * [taylor]: Taking taylor expansion of re in re 1.307 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.307 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.307 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.307 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.307 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.307 * [taylor]: Taking taylor expansion of -1 in re 1.308 * [taylor]: Taking taylor expansion of re in re 1.308 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.308 * [taylor]: Taking taylor expansion of -1 in re 1.308 * [taylor]: Taking taylor expansion of re in re 1.308 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.308 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.308 * [taylor]: Taking taylor expansion of -1 in re 1.308 * [taylor]: Taking taylor expansion of im in re 1.308 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.308 * [taylor]: Taking taylor expansion of -1 in re 1.308 * [taylor]: Taking taylor expansion of im in re 1.312 * [taylor]: Taking taylor expansion of 0 in im 1.314 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.314 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.314 * [taylor]: Taking taylor expansion of +nan.0 in im 1.314 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.314 * [taylor]: Taking taylor expansion of 2.0 in im 1.319 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.319 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.319 * [taylor]: Taking taylor expansion of +nan.0 in im 1.319 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.319 * [taylor]: Taking taylor expansion of 2.0 in im 1.327 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 1.328 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 1.328 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.328 * [taylor]: Taking taylor expansion of +nan.0 in im 1.328 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.328 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.328 * [taylor]: Taking taylor expansion of 2.0 in im 1.328 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.328 * [taylor]: Taking taylor expansion of im in im 1.329 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.329 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.329 * [taylor]: Taking taylor expansion of +nan.0 in im 1.329 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.329 * [taylor]: Taking taylor expansion of 2.0 in im 1.340 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 1.341 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 1.341 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.341 * [taylor]: Taking taylor expansion of +nan.0 in im 1.341 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.341 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.341 * [taylor]: Taking taylor expansion of 2.0 in im 1.341 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.341 * [taylor]: Taking taylor expansion of im in im 1.342 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.342 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.342 * [taylor]: Taking taylor expansion of +nan.0 in im 1.342 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.342 * [taylor]: Taking taylor expansion of 2.0 in im 1.355 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2) 1.355 * [approximate]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in (re im) around 0 1.355 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in im 1.355 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 1.355 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.356 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.356 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.356 * [taylor]: Taking taylor expansion of (* re re) in im 1.356 * [taylor]: Taking taylor expansion of re in im 1.356 * [taylor]: Taking taylor expansion of re in im 1.356 * [taylor]: Taking taylor expansion of (* im im) in im 1.356 * [taylor]: Taking taylor expansion of im in im 1.356 * [taylor]: Taking taylor expansion of im in im 1.357 * [taylor]: Taking taylor expansion of re in im 1.361 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 1.361 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.361 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.361 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.361 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.361 * [taylor]: Taking taylor expansion of (* re re) in re 1.361 * [taylor]: Taking taylor expansion of re in re 1.361 * [taylor]: Taking taylor expansion of re in re 1.361 * [taylor]: Taking taylor expansion of (* im im) in re 1.361 * [taylor]: Taking taylor expansion of im in re 1.361 * [taylor]: Taking taylor expansion of im in re 1.362 * [taylor]: Taking taylor expansion of re in re 1.366 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 1.366 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.366 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.366 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.366 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.366 * [taylor]: Taking taylor expansion of (* re re) in re 1.366 * [taylor]: Taking taylor expansion of re in re 1.366 * [taylor]: Taking taylor expansion of re in re 1.366 * [taylor]: Taking taylor expansion of (* im im) in re 1.366 * [taylor]: Taking taylor expansion of im in re 1.366 * [taylor]: Taking taylor expansion of im in re 1.367 * [taylor]: Taking taylor expansion of re in re 1.368 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.368 * [taylor]: Taking taylor expansion of im in im 1.369 * [taylor]: Taking taylor expansion of (* -1/2 (sqrt (/ 1 im))) in im 1.369 * [taylor]: Taking taylor expansion of -1/2 in im 1.369 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.369 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.369 * [taylor]: Taking taylor expansion of im in im 1.376 * [approximate]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in (re im) around 0 1.376 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 1.376 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.376 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.376 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.376 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.376 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.376 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.376 * [taylor]: Taking taylor expansion of re in im 1.376 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.376 * [taylor]: Taking taylor expansion of re in im 1.376 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.376 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.376 * [taylor]: Taking taylor expansion of im in im 1.377 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.377 * [taylor]: Taking taylor expansion of im in im 1.379 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.379 * [taylor]: Taking taylor expansion of re in im 1.380 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.380 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.381 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.381 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.381 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.381 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.381 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.381 * [taylor]: Taking taylor expansion of re in re 1.381 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.381 * [taylor]: Taking taylor expansion of re in re 1.381 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.381 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.381 * [taylor]: Taking taylor expansion of im in re 1.381 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.381 * [taylor]: Taking taylor expansion of im in re 1.384 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.384 * [taylor]: Taking taylor expansion of re in re 1.389 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.389 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.389 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.389 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.389 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.389 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.389 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.389 * [taylor]: Taking taylor expansion of re in re 1.390 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.390 * [taylor]: Taking taylor expansion of re in re 1.390 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.390 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.390 * [taylor]: Taking taylor expansion of im in re 1.390 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.390 * [taylor]: Taking taylor expansion of im in re 1.392 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.393 * [taylor]: Taking taylor expansion of re in re 1.398 * [taylor]: Taking taylor expansion of 0 in im 1.398 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 2)) in im 1.398 * [taylor]: Taking taylor expansion of +nan.0 in im 1.398 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.398 * [taylor]: Taking taylor expansion of im in im 1.403 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 4)) in im 1.403 * [taylor]: Taking taylor expansion of +nan.0 in im 1.403 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.403 * [taylor]: Taking taylor expansion of im in im 1.413 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6)))))) in im 1.413 * [taylor]: Taking taylor expansion of +nan.0 in im 1.413 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))) in im 1.413 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow im 4))) in im 1.413 * [taylor]: Taking taylor expansion of 1/8 in im 1.413 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 1.413 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.413 * [taylor]: Taking taylor expansion of im in im 1.414 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow im 6)))) in im 1.414 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 6))) in im 1.414 * [taylor]: Taking taylor expansion of +nan.0 in im 1.414 * [taylor]: Taking taylor expansion of (/ 1 (pow im 6)) in im 1.414 * [taylor]: Taking taylor expansion of (pow im 6) in im 1.414 * [taylor]: Taking taylor expansion of im in im 1.438 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in (re im) around 0 1.438 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in im 1.438 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 1.438 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.438 * [taylor]: Taking taylor expansion of re in im 1.438 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.438 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.438 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.438 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.438 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.438 * [taylor]: Taking taylor expansion of -1 in im 1.438 * [taylor]: Taking taylor expansion of re in im 1.438 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.438 * [taylor]: Taking taylor expansion of -1 in im 1.438 * [taylor]: Taking taylor expansion of re in im 1.438 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.438 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.438 * [taylor]: Taking taylor expansion of -1 in im 1.438 * [taylor]: Taking taylor expansion of im in im 1.438 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.438 * [taylor]: Taking taylor expansion of -1 in im 1.438 * [taylor]: Taking taylor expansion of im in im 1.445 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 1.446 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.446 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.446 * [taylor]: Taking taylor expansion of re in re 1.446 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.446 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.446 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.446 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.446 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.446 * [taylor]: Taking taylor expansion of -1 in re 1.446 * [taylor]: Taking taylor expansion of re in re 1.446 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.446 * [taylor]: Taking taylor expansion of -1 in re 1.446 * [taylor]: Taking taylor expansion of re in re 1.447 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.447 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.447 * [taylor]: Taking taylor expansion of -1 in re 1.447 * [taylor]: Taking taylor expansion of im in re 1.447 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.447 * [taylor]: Taking taylor expansion of -1 in re 1.447 * [taylor]: Taking taylor expansion of im in re 1.451 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 1.451 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.451 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.451 * [taylor]: Taking taylor expansion of re in re 1.451 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.451 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.451 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.451 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.451 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.451 * [taylor]: Taking taylor expansion of -1 in re 1.451 * [taylor]: Taking taylor expansion of re in re 1.451 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.451 * [taylor]: Taking taylor expansion of -1 in re 1.451 * [taylor]: Taking taylor expansion of re in re 1.452 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.452 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.452 * [taylor]: Taking taylor expansion of -1 in re 1.452 * [taylor]: Taking taylor expansion of im in re 1.452 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.452 * [taylor]: Taking taylor expansion of -1 in re 1.452 * [taylor]: Taking taylor expansion of im in re 1.456 * [taylor]: Taking taylor expansion of 0 in im 1.456 * [taylor]: Taking taylor expansion of +nan.0 in im 1.458 * [taylor]: Taking taylor expansion of +nan.0 in im 1.462 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 1.462 * [taylor]: Taking taylor expansion of +nan.0 in im 1.462 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 1.463 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.463 * [taylor]: Taking taylor expansion of 1/2 in im 1.463 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.463 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.463 * [taylor]: Taking taylor expansion of im in im 1.463 * [taylor]: Taking taylor expansion of +nan.0 in im 1.469 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 1.469 * [taylor]: Taking taylor expansion of +nan.0 in im 1.469 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 1.469 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 1.469 * [taylor]: Taking taylor expansion of +nan.0 in im 1.469 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.469 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.469 * [taylor]: Taking taylor expansion of im in im 1.470 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.470 * [taylor]: Taking taylor expansion of +nan.0 in im 1.476 * * * [progress]: simplifying candidates 1.478 * [simplify]: Simplifying using # : (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma 1 (hypot re im) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma 1 (hypot re im) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma 1 (hypot re im) (- (* re 1))) (fma (- re) 1 (* re 1)) (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (- re) (- re) (/ (exp (hypot re im)) (exp re)) (log (- (hypot re im) re)) (exp (- (hypot re im) re)) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (- (pow (hypot re im) 3) (pow re 3)) (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re))) (- re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- (hypot re im) re) (- re) (expm1 (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (log1p (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (* 2.0 (- (hypot re im) re)) (* (sqrt 2.0) (sqrt (- (hypot re im) re))) (* 2.0 (- (hypot re im) re)) (+ (log (sqrt 2.0)) (log (sqrt (- (hypot re im) re)))) (log (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (exp (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (* (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re)))) (* (cbrt (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (cbrt (* (sqrt 2.0) (sqrt (- (hypot re im) re))))) (cbrt (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (* (* (* (sqrt 2.0) (sqrt (- (hypot re im) re))) (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (* 2.0 (- (hypot re im) re)) (sqrt (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (sqrt (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt 2.0) (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re))))) (* (sqrt 2.0) (sqrt (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))))) (* (sqrt 2.0) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt 2.0) (sqrt 1)) (* (sqrt 2.0) (sqrt (+ (sqrt (hypot re im)) (sqrt re)))) (* (sqrt 2.0) (sqrt 1)) (* (sqrt 2.0) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt 2.0) 1) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))) (* (sqrt (cbrt 2.0)) (sqrt (- (hypot re im) re))) (* (sqrt (sqrt 2.0)) (sqrt (- (hypot re im) re))) (* (sqrt 2.0) (sqrt (- (hypot re im) re))) (* (sqrt (sqrt 2.0)) (sqrt (- (hypot re im) re))) (* (sqrt 2.0) (sqrt (- (hypot re im) re))) (* (sqrt 2.0) (sqrt (- (pow (hypot re im) 3) (pow re 3)))) (* (sqrt 2.0) (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (expm1 (sqrt (- (hypot re im) re))) (log1p (sqrt (- (hypot re im) re))) (log (sqrt (- (hypot re im) re))) (exp (sqrt (- (hypot re im) re))) (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re)))) (cbrt (sqrt (- (hypot re im) re))) (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re))) (sqrt (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))) (sqrt (cbrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))) (sqrt 1) (sqrt (- (hypot re im) re)) (sqrt (+ (sqrt (hypot re im)) (sqrt re))) (sqrt (- (sqrt (hypot re im)) (sqrt re))) (sqrt 1) (sqrt (- (hypot re im) re)) (sqrt (- (pow (hypot re im) 3) (pow re 3))) (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))) (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (+ (hypot re im) re)) (/ 1 2) (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))) (- im re) 0 (* -2 re) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) (* im re)))))))) 0 (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) (- (+ (* +nan.0 im) (- (+ (* +nan.0 (* re im)) (- (* +nan.0 (pow im 2))))))) 0 (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) 1.483 * * [simplify]: iteration 0 : 338 enodes (cost 590 ) 1.489 * * [simplify]: iteration 1 : 1250 enodes (cost 494 ) 1.517 * * [simplify]: iteration 2 : 5002 enodes (cost 482 ) 1.519 * [simplify]: Simplified to: (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (fma (- re) 1 re) (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (fma (- re) 1 re) (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (- re) (- re) (exp (- (hypot re im) re)) (log (- (hypot re im) re)) (exp (- (hypot re im) re)) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (pow (- (hypot re im) re) 3) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (- (pow (hypot re im) 3) (pow re 3)) (fma (hypot re im) (hypot re im) (fma re re (* (hypot re im) re))) (- re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- (hypot re im) re) (- re) (expm1 (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (log1p (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (* 2.0 (- (hypot re im) re)) (* (sqrt 2.0) (sqrt (- (hypot re im) re))) (* 2.0 (- (hypot re im) re)) (log (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (log (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (exp (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (pow (* (sqrt 2.0) (sqrt (- (hypot re im) re))) 3) (* (cbrt (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (cbrt (* (sqrt 2.0) (sqrt (- (hypot re im) re))))) (cbrt (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (pow (* (sqrt 2.0) (sqrt (- (hypot re im) re))) 3) (* 2.0 (- (hypot re im) re)) (sqrt (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (sqrt (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt 2.0) (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re))))) (* (fabs (cbrt (- (hypot re im) re))) (sqrt 2.0)) (* (sqrt 2.0) (sqrt (sqrt (- (hypot re im) re)))) (sqrt 2.0) (* (sqrt 2.0) (sqrt (+ (sqrt (hypot re im)) (sqrt re)))) (sqrt 2.0) (* (sqrt 2.0) (sqrt (sqrt (- (hypot re im) re)))) (sqrt 2.0) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))) (* (sqrt (cbrt 2.0)) (sqrt (- (hypot re im) re))) (* (sqrt (sqrt 2.0)) (sqrt (- (hypot re im) re))) (* (sqrt 2.0) (sqrt (- (hypot re im) re))) (* (sqrt (sqrt 2.0)) (sqrt (- (hypot re im) re))) (* (sqrt 2.0) (sqrt (- (hypot re im) re))) (* (sqrt 2.0) (sqrt (- (pow (hypot re im) 3) (pow re 3)))) (* (sqrt 2.0) (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (expm1 (sqrt (- (hypot re im) re))) (log1p (sqrt (- (hypot re im) re))) (log (sqrt (- (hypot re im) re))) (exp (sqrt (- (hypot re im) re))) (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re)))) (cbrt (sqrt (- (hypot re im) re))) (pow (sqrt (- (hypot re im) re)) 3) (fabs (cbrt (- (hypot re im) re))) (sqrt (cbrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))) 1 (sqrt (- (hypot re im) re)) (sqrt (+ (sqrt (hypot re im)) (sqrt re))) (sqrt (- (sqrt (hypot re im)) (sqrt re))) 1 (sqrt (- (hypot re im) re)) (sqrt (- (pow (hypot re im) 3) (pow re 3))) (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))) (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (+ (hypot re im) re)) 1/2 (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))) (- im re) 0 (* -2 re) (* (* +nan.0 (sqrt 2.0)) (+ (- (pow im 2)) (- im (* im re)))) 0 (fma (- (sqrt 2.0)) +nan.0 (* +nan.0 (- (/ (sqrt 2.0) (pow re 2)) (/ (sqrt 2.0) re)))) (fma (- im) +nan.0 (* +nan.0 (- (* im re) (pow im 2)))) 0 (+ (/ +nan.0 re) (- (fma +nan.0 1 (/ +nan.0 (pow re 2))))) 1.520 * * * [progress]: adding candidates to table 1.722 * * [progress]: iteration 4 / 4 1.722 * * * [progress]: picking best candidate 1.736 * * * * [pick]: Picked # 1.736 * * * [progress]: localizing error 1.747 * * * [progress]: generating rewritten candidates 1.747 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1 2 1) 1.750 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 2 1) 1.753 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.835 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 1.854 * * * [progress]: generating series expansions 1.854 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1 2 1) 1.855 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 1.855 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 1.855 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.855 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.855 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.855 * [taylor]: Taking taylor expansion of (* re re) in im 1.855 * [taylor]: Taking taylor expansion of re in im 1.855 * [taylor]: Taking taylor expansion of re in im 1.855 * [taylor]: Taking taylor expansion of (* im im) in im 1.855 * [taylor]: Taking taylor expansion of im in im 1.855 * [taylor]: Taking taylor expansion of im in im 1.856 * [taylor]: Taking taylor expansion of re in im 1.856 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.856 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.856 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.856 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.856 * [taylor]: Taking taylor expansion of (* re re) in re 1.856 * [taylor]: Taking taylor expansion of re in re 1.856 * [taylor]: Taking taylor expansion of re in re 1.856 * [taylor]: Taking taylor expansion of (* im im) in re 1.856 * [taylor]: Taking taylor expansion of im in re 1.856 * [taylor]: Taking taylor expansion of im in re 1.858 * [taylor]: Taking taylor expansion of re in re 1.858 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.858 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.858 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.858 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.858 * [taylor]: Taking taylor expansion of (* re re) in re 1.858 * [taylor]: Taking taylor expansion of re in re 1.858 * [taylor]: Taking taylor expansion of re in re 1.858 * [taylor]: Taking taylor expansion of (* im im) in re 1.858 * [taylor]: Taking taylor expansion of im in re 1.858 * [taylor]: Taking taylor expansion of im in re 1.859 * [taylor]: Taking taylor expansion of re in re 1.859 * [taylor]: Taking taylor expansion of im in im 1.860 * [taylor]: Taking taylor expansion of -1 in im 1.862 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.862 * [taylor]: Taking taylor expansion of 1/2 in im 1.862 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.862 * [taylor]: Taking taylor expansion of im in im 1.864 * [taylor]: Taking taylor expansion of 0 in im 1.866 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 1.866 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.866 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.866 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.866 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.866 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.866 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.866 * [taylor]: Taking taylor expansion of re in im 1.866 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.866 * [taylor]: Taking taylor expansion of re in im 1.866 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.866 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.866 * [taylor]: Taking taylor expansion of im in im 1.866 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.866 * [taylor]: Taking taylor expansion of im in im 1.869 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.869 * [taylor]: Taking taylor expansion of re in im 1.869 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.869 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.869 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.869 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.869 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.869 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.869 * [taylor]: Taking taylor expansion of re in re 1.870 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.870 * [taylor]: Taking taylor expansion of re in re 1.870 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.870 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.870 * [taylor]: Taking taylor expansion of im in re 1.870 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.870 * [taylor]: Taking taylor expansion of im in re 1.872 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.872 * [taylor]: Taking taylor expansion of re in re 1.873 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.873 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.873 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.873 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.873 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.873 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.873 * [taylor]: Taking taylor expansion of re in re 1.873 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.873 * [taylor]: Taking taylor expansion of re in re 1.873 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.873 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.873 * [taylor]: Taking taylor expansion of im in re 1.874 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.874 * [taylor]: Taking taylor expansion of im in re 1.876 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.876 * [taylor]: Taking taylor expansion of re in re 1.877 * [taylor]: Taking taylor expansion of 0 in im 1.878 * [taylor]: Taking taylor expansion of 0 in im 1.881 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.881 * [taylor]: Taking taylor expansion of 1/2 in im 1.881 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.881 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.881 * [taylor]: Taking taylor expansion of im in im 1.886 * [taylor]: Taking taylor expansion of 0 in im 1.888 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 1.888 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 1.888 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.888 * [taylor]: Taking taylor expansion of re in im 1.888 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.888 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.888 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.888 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.888 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.888 * [taylor]: Taking taylor expansion of -1 in im 1.888 * [taylor]: Taking taylor expansion of re in im 1.888 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.888 * [taylor]: Taking taylor expansion of -1 in im 1.888 * [taylor]: Taking taylor expansion of re in im 1.889 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.889 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.889 * [taylor]: Taking taylor expansion of -1 in im 1.889 * [taylor]: Taking taylor expansion of im in im 1.889 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.889 * [taylor]: Taking taylor expansion of -1 in im 1.889 * [taylor]: Taking taylor expansion of im in im 1.892 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.892 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.892 * [taylor]: Taking taylor expansion of re in re 1.892 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.892 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.892 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.892 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.892 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.892 * [taylor]: Taking taylor expansion of -1 in re 1.892 * [taylor]: Taking taylor expansion of re in re 1.892 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.892 * [taylor]: Taking taylor expansion of -1 in re 1.893 * [taylor]: Taking taylor expansion of re in re 1.893 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.893 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.893 * [taylor]: Taking taylor expansion of -1 in re 1.893 * [taylor]: Taking taylor expansion of im in re 1.893 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.893 * [taylor]: Taking taylor expansion of -1 in re 1.893 * [taylor]: Taking taylor expansion of im in re 1.895 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.896 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.896 * [taylor]: Taking taylor expansion of re in re 1.896 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.896 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.896 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.896 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.896 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.896 * [taylor]: Taking taylor expansion of -1 in re 1.896 * [taylor]: Taking taylor expansion of re in re 1.896 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.896 * [taylor]: Taking taylor expansion of -1 in re 1.896 * [taylor]: Taking taylor expansion of re in re 1.897 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.897 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.897 * [taylor]: Taking taylor expansion of -1 in re 1.897 * [taylor]: Taking taylor expansion of im in re 1.897 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.897 * [taylor]: Taking taylor expansion of -1 in re 1.897 * [taylor]: Taking taylor expansion of im in re 1.900 * [taylor]: Taking taylor expansion of 2 in im 1.900 * [taylor]: Taking taylor expansion of 0 in im 1.903 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.903 * [taylor]: Taking taylor expansion of 1/2 in im 1.903 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.903 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.903 * [taylor]: Taking taylor expansion of im in im 1.908 * [taylor]: Taking taylor expansion of 0 in im 1.909 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 2 1) 1.910 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 1.910 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 1.910 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.910 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.910 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.910 * [taylor]: Taking taylor expansion of (* re re) in im 1.910 * [taylor]: Taking taylor expansion of re in im 1.910 * [taylor]: Taking taylor expansion of re in im 1.910 * [taylor]: Taking taylor expansion of (* im im) in im 1.910 * [taylor]: Taking taylor expansion of im in im 1.910 * [taylor]: Taking taylor expansion of im in im 1.911 * [taylor]: Taking taylor expansion of re in im 1.911 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.911 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.911 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.911 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.911 * [taylor]: Taking taylor expansion of (* re re) in re 1.911 * [taylor]: Taking taylor expansion of re in re 1.911 * [taylor]: Taking taylor expansion of re in re 1.911 * [taylor]: Taking taylor expansion of (* im im) in re 1.911 * [taylor]: Taking taylor expansion of im in re 1.911 * [taylor]: Taking taylor expansion of im in re 1.912 * [taylor]: Taking taylor expansion of re in re 1.912 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.912 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.912 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.912 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.912 * [taylor]: Taking taylor expansion of (* re re) in re 1.912 * [taylor]: Taking taylor expansion of re in re 1.912 * [taylor]: Taking taylor expansion of re in re 1.912 * [taylor]: Taking taylor expansion of (* im im) in re 1.912 * [taylor]: Taking taylor expansion of im in re 1.913 * [taylor]: Taking taylor expansion of im in re 1.914 * [taylor]: Taking taylor expansion of re in re 1.914 * [taylor]: Taking taylor expansion of im in im 1.914 * [taylor]: Taking taylor expansion of -1 in im 1.916 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.916 * [taylor]: Taking taylor expansion of 1/2 in im 1.916 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.916 * [taylor]: Taking taylor expansion of im in im 1.919 * [taylor]: Taking taylor expansion of 0 in im 1.920 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 1.920 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.920 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.920 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.920 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.920 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.920 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.921 * [taylor]: Taking taylor expansion of re in im 1.921 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.921 * [taylor]: Taking taylor expansion of re in im 1.921 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.921 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.921 * [taylor]: Taking taylor expansion of im in im 1.921 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.921 * [taylor]: Taking taylor expansion of im in im 1.924 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.924 * [taylor]: Taking taylor expansion of re in im 1.924 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.924 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.924 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.924 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.924 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.924 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.924 * [taylor]: Taking taylor expansion of re in re 1.924 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.924 * [taylor]: Taking taylor expansion of re in re 1.924 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.925 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.925 * [taylor]: Taking taylor expansion of im in re 1.925 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.925 * [taylor]: Taking taylor expansion of im in re 1.927 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.927 * [taylor]: Taking taylor expansion of re in re 1.927 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.927 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.927 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.927 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.928 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.928 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.928 * [taylor]: Taking taylor expansion of re in re 1.928 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.928 * [taylor]: Taking taylor expansion of re in re 1.928 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.928 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.928 * [taylor]: Taking taylor expansion of im in re 1.928 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.928 * [taylor]: Taking taylor expansion of im in re 1.931 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.931 * [taylor]: Taking taylor expansion of re in re 1.931 * [taylor]: Taking taylor expansion of 0 in im 1.932 * [taylor]: Taking taylor expansion of 0 in im 1.935 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.936 * [taylor]: Taking taylor expansion of 1/2 in im 1.936 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.936 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.936 * [taylor]: Taking taylor expansion of im in im 1.943 * [taylor]: Taking taylor expansion of 0 in im 1.945 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 1.945 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 1.945 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.945 * [taylor]: Taking taylor expansion of re in im 1.945 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.945 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.945 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.945 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.945 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.945 * [taylor]: Taking taylor expansion of -1 in im 1.945 * [taylor]: Taking taylor expansion of re in im 1.945 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.945 * [taylor]: Taking taylor expansion of -1 in im 1.945 * [taylor]: Taking taylor expansion of re in im 1.945 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.945 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.945 * [taylor]: Taking taylor expansion of -1 in im 1.945 * [taylor]: Taking taylor expansion of im in im 1.945 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.945 * [taylor]: Taking taylor expansion of -1 in im 1.945 * [taylor]: Taking taylor expansion of im in im 1.948 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.948 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.948 * [taylor]: Taking taylor expansion of re in re 1.949 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.949 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.949 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.949 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.949 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.949 * [taylor]: Taking taylor expansion of -1 in re 1.949 * [taylor]: Taking taylor expansion of re in re 1.949 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.949 * [taylor]: Taking taylor expansion of -1 in re 1.949 * [taylor]: Taking taylor expansion of re in re 1.949 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.949 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.949 * [taylor]: Taking taylor expansion of -1 in re 1.949 * [taylor]: Taking taylor expansion of im in re 1.949 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.949 * [taylor]: Taking taylor expansion of -1 in re 1.949 * [taylor]: Taking taylor expansion of im in re 1.952 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.952 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.952 * [taylor]: Taking taylor expansion of re in re 1.952 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.952 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.952 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.952 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.952 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.953 * [taylor]: Taking taylor expansion of -1 in re 1.953 * [taylor]: Taking taylor expansion of re in re 1.953 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.953 * [taylor]: Taking taylor expansion of -1 in re 1.953 * [taylor]: Taking taylor expansion of re in re 1.953 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.953 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.953 * [taylor]: Taking taylor expansion of -1 in re 1.953 * [taylor]: Taking taylor expansion of im in re 1.953 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.953 * [taylor]: Taking taylor expansion of -1 in re 1.953 * [taylor]: Taking taylor expansion of im in re 1.956 * [taylor]: Taking taylor expansion of 2 in im 1.957 * [taylor]: Taking taylor expansion of 0 in im 1.960 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.960 * [taylor]: Taking taylor expansion of 1/2 in im 1.960 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.960 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.960 * [taylor]: Taking taylor expansion of im in im 1.965 * [taylor]: Taking taylor expansion of 0 in im 1.967 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.967 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in (re im) around 0 1.967 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in im 1.967 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.967 * [taylor]: Taking taylor expansion of 2.0 in im 1.968 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in im 1.968 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 1.968 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.968 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.968 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.968 * [taylor]: Taking taylor expansion of (* re re) in im 1.968 * [taylor]: Taking taylor expansion of re in im 1.968 * [taylor]: Taking taylor expansion of re in im 1.968 * [taylor]: Taking taylor expansion of (* im im) in im 1.968 * [taylor]: Taking taylor expansion of im in im 1.968 * [taylor]: Taking taylor expansion of im in im 1.969 * [taylor]: Taking taylor expansion of re in im 1.973 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 1.973 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.973 * [taylor]: Taking taylor expansion of 2.0 in re 1.974 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 1.974 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.974 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.974 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.974 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.974 * [taylor]: Taking taylor expansion of (* re re) in re 1.974 * [taylor]: Taking taylor expansion of re in re 1.974 * [taylor]: Taking taylor expansion of re in re 1.974 * [taylor]: Taking taylor expansion of (* im im) in re 1.974 * [taylor]: Taking taylor expansion of im in re 1.974 * [taylor]: Taking taylor expansion of im in re 1.975 * [taylor]: Taking taylor expansion of re in re 1.976 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 1.976 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.976 * [taylor]: Taking taylor expansion of 2.0 in re 1.977 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 1.977 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.977 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.977 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.977 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.977 * [taylor]: Taking taylor expansion of (* re re) in re 1.977 * [taylor]: Taking taylor expansion of re in re 1.977 * [taylor]: Taking taylor expansion of re in re 1.977 * [taylor]: Taking taylor expansion of (* im im) in re 1.977 * [taylor]: Taking taylor expansion of im in re 1.977 * [taylor]: Taking taylor expansion of im in re 1.978 * [taylor]: Taking taylor expansion of re in re 1.979 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 1.979 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.979 * [taylor]: Taking taylor expansion of 2.0 in im 1.980 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.980 * [taylor]: Taking taylor expansion of im in im 1.985 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 1.985 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 1.985 * [taylor]: Taking taylor expansion of 1/2 in im 1.985 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 1.985 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.985 * [taylor]: Taking taylor expansion of 2.0 in im 1.986 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.986 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.986 * [taylor]: Taking taylor expansion of im in im 2.006 * [approximate]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 2.006 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im 2.006 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 2.006 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 2.006 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.006 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.006 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.006 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.006 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.007 * [taylor]: Taking taylor expansion of re in im 2.007 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.007 * [taylor]: Taking taylor expansion of re in im 2.007 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.007 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.007 * [taylor]: Taking taylor expansion of im in im 2.007 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.007 * [taylor]: Taking taylor expansion of im in im 2.010 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.010 * [taylor]: Taking taylor expansion of re in im 2.011 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.011 * [taylor]: Taking taylor expansion of 2.0 in im 2.012 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 2.012 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 2.012 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.012 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.012 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.012 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.012 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.012 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.012 * [taylor]: Taking taylor expansion of re in re 2.012 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.012 * [taylor]: Taking taylor expansion of re in re 2.012 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.012 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.012 * [taylor]: Taking taylor expansion of im in re 2.013 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.013 * [taylor]: Taking taylor expansion of im in re 2.015 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.015 * [taylor]: Taking taylor expansion of re in re 2.021 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.021 * [taylor]: Taking taylor expansion of 2.0 in re 2.021 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 2.021 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 2.021 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.021 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.021 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.022 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.022 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.022 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.022 * [taylor]: Taking taylor expansion of re in re 2.022 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.022 * [taylor]: Taking taylor expansion of re in re 2.022 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.022 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.022 * [taylor]: Taking taylor expansion of im in re 2.022 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.022 * [taylor]: Taking taylor expansion of im in re 2.028 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.028 * [taylor]: Taking taylor expansion of re in re 2.033 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.033 * [taylor]: Taking taylor expansion of 2.0 in re 2.034 * [taylor]: Taking taylor expansion of 0 in im 2.035 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 2.035 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 2.035 * [taylor]: Taking taylor expansion of +nan.0 in im 2.035 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 2.035 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.035 * [taylor]: Taking taylor expansion of 2.0 in im 2.036 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.036 * [taylor]: Taking taylor expansion of im in im 2.044 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 2.044 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 2.044 * [taylor]: Taking taylor expansion of +nan.0 in im 2.044 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 2.044 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.044 * [taylor]: Taking taylor expansion of 2.0 in im 2.044 * [taylor]: Taking taylor expansion of (pow im 4) in im 2.044 * [taylor]: Taking taylor expansion of im in im 2.060 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 2.061 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 2.061 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 2.061 * [taylor]: Taking taylor expansion of +nan.0 in im 2.061 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 2.061 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.061 * [taylor]: Taking taylor expansion of 2.0 in im 2.061 * [taylor]: Taking taylor expansion of (pow im 4) in im 2.061 * [taylor]: Taking taylor expansion of im in im 2.062 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 2.063 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 2.063 * [taylor]: Taking taylor expansion of +nan.0 in im 2.063 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 2.063 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.063 * [taylor]: Taking taylor expansion of 2.0 in im 2.063 * [taylor]: Taking taylor expansion of (pow im 6) in im 2.063 * [taylor]: Taking taylor expansion of im in im 2.086 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in (re im) around 0 2.086 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in im 2.086 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.086 * [taylor]: Taking taylor expansion of 2.0 in im 2.087 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in im 2.087 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 2.087 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.087 * [taylor]: Taking taylor expansion of re in im 2.087 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.087 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.087 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.087 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.087 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.087 * [taylor]: Taking taylor expansion of -1 in im 2.087 * [taylor]: Taking taylor expansion of re in im 2.087 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.087 * [taylor]: Taking taylor expansion of -1 in im 2.087 * [taylor]: Taking taylor expansion of re in im 2.087 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.087 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.087 * [taylor]: Taking taylor expansion of -1 in im 2.087 * [taylor]: Taking taylor expansion of im in im 2.087 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.088 * [taylor]: Taking taylor expansion of -1 in im 2.088 * [taylor]: Taking taylor expansion of im in im 2.092 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 2.092 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.092 * [taylor]: Taking taylor expansion of 2.0 in re 2.092 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 2.092 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 2.092 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.092 * [taylor]: Taking taylor expansion of re in re 2.093 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.093 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.093 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.093 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.093 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.093 * [taylor]: Taking taylor expansion of -1 in re 2.093 * [taylor]: Taking taylor expansion of re in re 2.093 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.093 * [taylor]: Taking taylor expansion of -1 in re 2.093 * [taylor]: Taking taylor expansion of re in re 2.093 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.094 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.094 * [taylor]: Taking taylor expansion of -1 in re 2.094 * [taylor]: Taking taylor expansion of im in re 2.094 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.094 * [taylor]: Taking taylor expansion of -1 in re 2.094 * [taylor]: Taking taylor expansion of im in re 2.097 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 2.097 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.097 * [taylor]: Taking taylor expansion of 2.0 in re 2.098 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 2.098 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 2.098 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.098 * [taylor]: Taking taylor expansion of re in re 2.098 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.098 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.099 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.099 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.099 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.099 * [taylor]: Taking taylor expansion of -1 in re 2.099 * [taylor]: Taking taylor expansion of re in re 2.099 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.099 * [taylor]: Taking taylor expansion of -1 in re 2.099 * [taylor]: Taking taylor expansion of re in re 2.099 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.099 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.099 * [taylor]: Taking taylor expansion of -1 in re 2.099 * [taylor]: Taking taylor expansion of im in re 2.099 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.099 * [taylor]: Taking taylor expansion of -1 in re 2.099 * [taylor]: Taking taylor expansion of im in re 2.104 * [taylor]: Taking taylor expansion of 0 in im 2.105 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 2.105 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.105 * [taylor]: Taking taylor expansion of +nan.0 in im 2.105 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.105 * [taylor]: Taking taylor expansion of 2.0 in im 2.113 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 2.113 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.113 * [taylor]: Taking taylor expansion of +nan.0 in im 2.113 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.113 * [taylor]: Taking taylor expansion of 2.0 in im 2.122 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 2.122 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 2.122 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 2.122 * [taylor]: Taking taylor expansion of +nan.0 in im 2.122 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 2.122 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.122 * [taylor]: Taking taylor expansion of 2.0 in im 2.123 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.123 * [taylor]: Taking taylor expansion of im in im 2.124 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 2.124 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.124 * [taylor]: Taking taylor expansion of +nan.0 in im 2.124 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.124 * [taylor]: Taking taylor expansion of 2.0 in im 2.135 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 2.135 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 2.136 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 2.136 * [taylor]: Taking taylor expansion of +nan.0 in im 2.136 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 2.136 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.136 * [taylor]: Taking taylor expansion of 2.0 in im 2.136 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.136 * [taylor]: Taking taylor expansion of im in im 2.137 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 2.137 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.137 * [taylor]: Taking taylor expansion of +nan.0 in im 2.137 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.137 * [taylor]: Taking taylor expansion of 2.0 in im 2.150 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 2.150 * [approximate]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (pow (- (hypot re im) re) 1/4)) in (re im) around 0 2.150 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (pow (- (hypot re im) re) 1/4)) in im 2.150 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 2.150 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.150 * [taylor]: Taking taylor expansion of 2.0 in im 2.152 * [taylor]: Taking taylor expansion of (pow (- (hypot re im) re) 1/4) in im 2.152 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (hypot re im) re)))) in im 2.152 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (hypot re im) re))) in im 2.152 * [taylor]: Taking taylor expansion of 1/4 in im 2.152 * [taylor]: Taking taylor expansion of (log (- (hypot re im) re)) in im 2.152 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 2.152 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.152 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.152 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.152 * [taylor]: Taking taylor expansion of (* re re) in im 2.152 * [taylor]: Taking taylor expansion of re in im 2.152 * [taylor]: Taking taylor expansion of re in im 2.152 * [taylor]: Taking taylor expansion of (* im im) in im 2.152 * [taylor]: Taking taylor expansion of im in im 2.152 * [taylor]: Taking taylor expansion of im in im 2.153 * [taylor]: Taking taylor expansion of re in im 2.156 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (pow (- (hypot re im) re) 1/4)) in re 2.156 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in re 2.156 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.156 * [taylor]: Taking taylor expansion of 2.0 in re 2.158 * [taylor]: Taking taylor expansion of (pow (- (hypot re im) re) 1/4) in re 2.158 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (hypot re im) re)))) in re 2.158 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (hypot re im) re))) in re 2.158 * [taylor]: Taking taylor expansion of 1/4 in re 2.158 * [taylor]: Taking taylor expansion of (log (- (hypot re im) re)) in re 2.158 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 2.158 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.158 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.158 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.158 * [taylor]: Taking taylor expansion of (* re re) in re 2.158 * [taylor]: Taking taylor expansion of re in re 2.158 * [taylor]: Taking taylor expansion of re in re 2.158 * [taylor]: Taking taylor expansion of (* im im) in re 2.158 * [taylor]: Taking taylor expansion of im in re 2.158 * [taylor]: Taking taylor expansion of im in re 2.159 * [taylor]: Taking taylor expansion of re in re 2.160 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (pow (- (hypot re im) re) 1/4)) in re 2.160 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in re 2.160 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.160 * [taylor]: Taking taylor expansion of 2.0 in re 2.161 * [taylor]: Taking taylor expansion of (pow (- (hypot re im) re) 1/4) in re 2.161 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (hypot re im) re)))) in re 2.161 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (hypot re im) re))) in re 2.161 * [taylor]: Taking taylor expansion of 1/4 in re 2.161 * [taylor]: Taking taylor expansion of (log (- (hypot re im) re)) in re 2.162 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 2.162 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.162 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.162 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.162 * [taylor]: Taking taylor expansion of (* re re) in re 2.162 * [taylor]: Taking taylor expansion of re in re 2.162 * [taylor]: Taking taylor expansion of re in re 2.162 * [taylor]: Taking taylor expansion of (* im im) in re 2.162 * [taylor]: Taking taylor expansion of im in re 2.162 * [taylor]: Taking taylor expansion of im in re 2.163 * [taylor]: Taking taylor expansion of re in re 2.164 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (pow im 1/4)) in im 2.164 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 2.164 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.164 * [taylor]: Taking taylor expansion of 2.0 in im 2.165 * [taylor]: Taking taylor expansion of (pow im 1/4) in im 2.166 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log im))) in im 2.166 * [taylor]: Taking taylor expansion of (* 1/4 (log im)) in im 2.166 * [taylor]: Taking taylor expansion of 1/4 in im 2.166 * [taylor]: Taking taylor expansion of (log im) in im 2.166 * [taylor]: Taking taylor expansion of im in im 2.170 * [taylor]: Taking taylor expansion of (- (* 1/4 (* (sqrt (sqrt 2.0)) (pow (/ 1 (pow im 3)) 1/4)))) in im 2.170 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (sqrt 2.0)) (pow (/ 1 (pow im 3)) 1/4))) in im 2.170 * [taylor]: Taking taylor expansion of 1/4 in im 2.170 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (pow (/ 1 (pow im 3)) 1/4)) in im 2.170 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 2.170 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.171 * [taylor]: Taking taylor expansion of 2.0 in im 2.172 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 3)) 1/4) in im 2.172 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow im 3))))) in im 2.172 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow im 3)))) in im 2.172 * [taylor]: Taking taylor expansion of 1/4 in im 2.172 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 3))) in im 2.172 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 2.172 * [taylor]: Taking taylor expansion of (pow im 3) in im 2.172 * [taylor]: Taking taylor expansion of im in im 2.185 * [taylor]: Taking taylor expansion of (* 1/32 (* (sqrt (sqrt 2.0)) (pow (/ 1 (pow im 7)) 1/4))) in im 2.185 * [taylor]: Taking taylor expansion of 1/32 in im 2.185 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (pow (/ 1 (pow im 7)) 1/4)) in im 2.185 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 2.185 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.185 * [taylor]: Taking taylor expansion of 2.0 in im 2.187 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 7)) 1/4) in im 2.187 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow im 7))))) in im 2.187 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow im 7)))) in im 2.187 * [taylor]: Taking taylor expansion of 1/4 in im 2.187 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 7))) in im 2.187 * [taylor]: Taking taylor expansion of (/ 1 (pow im 7)) in im 2.187 * [taylor]: Taking taylor expansion of (pow im 7) in im 2.187 * [taylor]: Taking taylor expansion of im in im 2.197 * [approximate]: Taking taylor expansion of (* (pow (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/4) (sqrt (sqrt 2.0))) in (re im) around 0 2.197 * [taylor]: Taking taylor expansion of (* (pow (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/4) (sqrt (sqrt 2.0))) in im 2.197 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/4) in im 2.197 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))))) in im 2.197 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in im 2.197 * [taylor]: Taking taylor expansion of 1/4 in im 2.197 * [taylor]: Taking taylor expansion of (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 2.197 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 2.197 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.197 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.197 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.197 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.197 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.197 * [taylor]: Taking taylor expansion of re in im 2.197 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.197 * [taylor]: Taking taylor expansion of re in im 2.197 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.197 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.197 * [taylor]: Taking taylor expansion of im in im 2.198 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.198 * [taylor]: Taking taylor expansion of im in im 2.201 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.201 * [taylor]: Taking taylor expansion of re in im 2.202 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 2.202 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.202 * [taylor]: Taking taylor expansion of 2.0 in im 2.203 * [taylor]: Taking taylor expansion of (* (pow (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/4) (sqrt (sqrt 2.0))) in re 2.203 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/4) in re 2.204 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))))) in re 2.204 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in re 2.204 * [taylor]: Taking taylor expansion of 1/4 in re 2.204 * [taylor]: Taking taylor expansion of (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 2.204 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.204 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.204 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.204 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.204 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.204 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.204 * [taylor]: Taking taylor expansion of re in re 2.204 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.204 * [taylor]: Taking taylor expansion of re in re 2.204 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.204 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.204 * [taylor]: Taking taylor expansion of im in re 2.204 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.204 * [taylor]: Taking taylor expansion of im in re 2.207 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.207 * [taylor]: Taking taylor expansion of re in re 2.213 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in re 2.213 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.213 * [taylor]: Taking taylor expansion of 2.0 in re 2.215 * [taylor]: Taking taylor expansion of (* (pow (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/4) (sqrt (sqrt 2.0))) in re 2.215 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/4) in re 2.215 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))))) in re 2.215 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in re 2.215 * [taylor]: Taking taylor expansion of 1/4 in re 2.215 * [taylor]: Taking taylor expansion of (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 2.215 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.215 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.215 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.215 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.215 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.215 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.215 * [taylor]: Taking taylor expansion of re in re 2.215 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.215 * [taylor]: Taking taylor expansion of re in re 2.215 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.216 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.216 * [taylor]: Taking taylor expansion of im in re 2.216 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.216 * [taylor]: Taking taylor expansion of im in re 2.218 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.218 * [taylor]: Taking taylor expansion of re in re 2.224 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in re 2.224 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.224 * [taylor]: Taking taylor expansion of 2.0 in re 2.226 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (exp (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re))))) in im 2.227 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 2.227 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.227 * [taylor]: Taking taylor expansion of 2.0 in im 2.228 * [taylor]: Taking taylor expansion of (exp (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re)))) in im 2.228 * [taylor]: Taking taylor expansion of (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re))) in im 2.228 * [taylor]: Taking taylor expansion of 1/4 in im 2.228 * [taylor]: Taking taylor expansion of (+ (log (/ 1/2 (pow im 2))) (log re)) in im 2.228 * [taylor]: Taking taylor expansion of (log (/ 1/2 (pow im 2))) in im 2.228 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.228 * [taylor]: Taking taylor expansion of 1/2 in im 2.228 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.228 * [taylor]: Taking taylor expansion of im in im 2.229 * [taylor]: Taking taylor expansion of (log re) in im 2.229 * [taylor]: Taking taylor expansion of re in im 2.238 * [taylor]: Taking taylor expansion of 0 in im 2.252 * [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 2.252 * [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 2.252 * [taylor]: Taking taylor expansion of 1/16 in im 2.252 * [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 2.252 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 2.252 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.252 * [taylor]: Taking taylor expansion of 2.0 in im 2.254 * [taylor]: Taking taylor expansion of (/ (exp (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re)))) (pow im 2)) in im 2.254 * [taylor]: Taking taylor expansion of (exp (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re)))) in im 2.254 * [taylor]: Taking taylor expansion of (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re))) in im 2.254 * [taylor]: Taking taylor expansion of 1/4 in im 2.254 * [taylor]: Taking taylor expansion of (+ (log (/ 1/2 (pow im 2))) (log re)) in im 2.254 * [taylor]: Taking taylor expansion of (log (/ 1/2 (pow im 2))) in im 2.254 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.254 * [taylor]: Taking taylor expansion of 1/2 in im 2.254 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.254 * [taylor]: Taking taylor expansion of im in im 2.254 * [taylor]: Taking taylor expansion of (log re) in im 2.254 * [taylor]: Taking taylor expansion of re in im 2.256 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.256 * [taylor]: Taking taylor expansion of im in im 2.298 * [taylor]: Taking taylor expansion of 0 in im 2.299 * [approximate]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (pow (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 1/4)) in (re im) around 0 2.299 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (pow (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 1/4)) in im 2.299 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 2.299 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.299 * [taylor]: Taking taylor expansion of 2.0 in im 2.301 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 1/4) in im 2.301 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))))) in im 2.301 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in im 2.301 * [taylor]: Taking taylor expansion of 1/4 in im 2.301 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in im 2.301 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 2.301 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.301 * [taylor]: Taking taylor expansion of re in im 2.301 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.301 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.301 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.301 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.302 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.302 * [taylor]: Taking taylor expansion of -1 in im 2.302 * [taylor]: Taking taylor expansion of re in im 2.302 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.302 * [taylor]: Taking taylor expansion of -1 in im 2.302 * [taylor]: Taking taylor expansion of re in im 2.302 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.302 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.302 * [taylor]: Taking taylor expansion of -1 in im 2.302 * [taylor]: Taking taylor expansion of im in im 2.302 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.302 * [taylor]: Taking taylor expansion of -1 in im 2.302 * [taylor]: Taking taylor expansion of im in im 2.306 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (pow (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 1/4)) in re 2.306 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in re 2.306 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.306 * [taylor]: Taking taylor expansion of 2.0 in re 2.307 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 1/4) in re 2.307 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))))) in re 2.308 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 2.308 * [taylor]: Taking taylor expansion of 1/4 in re 2.308 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 2.308 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 2.308 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.308 * [taylor]: Taking taylor expansion of re in re 2.308 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.308 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.308 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.308 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.308 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.308 * [taylor]: Taking taylor expansion of -1 in re 2.308 * [taylor]: Taking taylor expansion of re in re 2.308 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.308 * [taylor]: Taking taylor expansion of -1 in re 2.308 * [taylor]: Taking taylor expansion of re in re 2.309 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.309 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.309 * [taylor]: Taking taylor expansion of -1 in re 2.309 * [taylor]: Taking taylor expansion of im in re 2.309 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.309 * [taylor]: Taking taylor expansion of -1 in re 2.309 * [taylor]: Taking taylor expansion of im in re 2.313 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (pow (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 1/4)) in re 2.313 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in re 2.313 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.313 * [taylor]: Taking taylor expansion of 2.0 in re 2.315 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 1/4) in re 2.315 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))))) in re 2.315 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 2.315 * [taylor]: Taking taylor expansion of 1/4 in re 2.315 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 2.315 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 2.315 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.315 * [taylor]: Taking taylor expansion of re in re 2.315 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.315 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.315 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.315 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.315 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.315 * [taylor]: Taking taylor expansion of -1 in re 2.315 * [taylor]: Taking taylor expansion of re in re 2.316 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.316 * [taylor]: Taking taylor expansion of -1 in re 2.316 * [taylor]: Taking taylor expansion of re in re 2.316 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.316 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.316 * [taylor]: Taking taylor expansion of -1 in re 2.316 * [taylor]: Taking taylor expansion of im in re 2.316 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.316 * [taylor]: Taking taylor expansion of -1 in re 2.316 * [taylor]: Taking taylor expansion of im in re 2.321 * [taylor]: Taking taylor expansion of (* (exp (* 1/4 (- (log 2) (log re)))) (sqrt (sqrt 2.0))) in im 2.321 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log 2) (log re)))) in im 2.321 * [taylor]: Taking taylor expansion of (* 1/4 (- (log 2) (log re))) in im 2.321 * [taylor]: Taking taylor expansion of 1/4 in im 2.321 * [taylor]: Taking taylor expansion of (- (log 2) (log re)) in im 2.321 * [taylor]: Taking taylor expansion of (log 2) in im 2.321 * [taylor]: Taking taylor expansion of 2 in im 2.322 * [taylor]: Taking taylor expansion of (log re) in im 2.322 * [taylor]: Taking taylor expansion of re in im 2.322 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 2.323 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.323 * [taylor]: Taking taylor expansion of 2.0 in im 2.330 * [taylor]: Taking taylor expansion of 0 in im 2.342 * [taylor]: Taking taylor expansion of (* 1/16 (* (/ (exp (* 1/4 (- (log 2) (log re)))) (pow im 2)) (sqrt (sqrt 2.0)))) in im 2.342 * [taylor]: Taking taylor expansion of 1/16 in im 2.342 * [taylor]: Taking taylor expansion of (* (/ (exp (* 1/4 (- (log 2) (log re)))) (pow im 2)) (sqrt (sqrt 2.0))) in im 2.342 * [taylor]: Taking taylor expansion of (/ (exp (* 1/4 (- (log 2) (log re)))) (pow im 2)) in im 2.342 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log 2) (log re)))) in im 2.342 * [taylor]: Taking taylor expansion of (* 1/4 (- (log 2) (log re))) in im 2.342 * [taylor]: Taking taylor expansion of 1/4 in im 2.342 * [taylor]: Taking taylor expansion of (- (log 2) (log re)) in im 2.342 * [taylor]: Taking taylor expansion of (log 2) in im 2.342 * [taylor]: Taking taylor expansion of 2 in im 2.343 * [taylor]: Taking taylor expansion of (log re) in im 2.343 * [taylor]: Taking taylor expansion of re in im 2.343 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.343 * [taylor]: Taking taylor expansion of im in im 2.344 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 2.344 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.344 * [taylor]: Taking taylor expansion of 2.0 in im 2.382 * [taylor]: Taking taylor expansion of 0 in im 2.383 * * * [progress]: simplifying candidates 2.386 * [simplify]: Simplifying using # : (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma 1 (hypot re im) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma 1 (hypot re im) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma 1 (hypot re im) (- (* re 1))) (fma (- re) 1 (* re 1)) (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (- re) (- re) (/ (exp (hypot re im)) (exp re)) (log (- (hypot re im) re)) (exp (- (hypot re im) re)) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (- (pow (hypot re im) 3) (pow re 3)) (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re))) (- re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- (hypot re im) re) (- re) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma 1 (hypot re im) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma 1 (hypot re im) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma 1 (hypot re im) (- (* re 1))) (fma (- re) 1 (* re 1)) (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (- re) (- re) (/ (exp (hypot re im)) (exp re)) (log (- (hypot re im) re)) (exp (- (hypot re im) re)) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (- (pow (hypot re im) 3) (pow re 3)) (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re))) (- re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- (hypot re im) re) (- re) (expm1 (* (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))))) (log1p (* (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))))) (+ 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) 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)) (* (sqrt (* 2.0 (+ (- (hypot re im) re) 0))) (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (* (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0))))) (* (* 2.0 (+ (- (hypot re im) re) 0)) (* 2.0 (+ (- (hypot re im) re) 0))) (* (sqrt (* 2.0 (+ (- (hypot re im) re) 0))) (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (* (* 2.0 (+ (- (hypot re im) re) 0)) (* 2.0 (+ (- (hypot re im) re) 0))) (* (* 2.0 (+ (- (hypot re im) re) 0)) (* 2.0 (+ (- (hypot re im) re) 0))) (* (* 2.0 (+ (- (hypot re im) re) 0)) (* 2.0 (+ (- (hypot re im) re) 0))) (* (* 2.0 (+ (- (hypot re im) re) 0)) (* 2.0 (+ (- (hypot re im) re) 0))) (+ 1 1) (+ (log (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0))))) (log (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))))) (log (* (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))))) (exp (* (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))))) (* (* (* (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0))))) (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0))))) (* (* (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0))))) (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))))) (* (cbrt (* (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))))) (cbrt (* (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0))))))) (cbrt (* (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))))) (* (* (* (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0))))) (* (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))))) (* (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))))) (* (sqrt (* 2.0 (+ (- (hypot re im) re) 0))) (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (sqrt (* (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))))) (sqrt (* (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))))) (* (sqrt (sqrt (* 2.0 (+ (pow (- (hypot re im) re) 3) (pow 0 3))))) (sqrt (sqrt (* 2.0 (+ (pow (- (hypot re im) re) 3) (pow 0 3)))))) (* (sqrt (sqrt (+ (* (- (hypot re im) re) (- (hypot re im) re)) (- (* 0 0) (* (- (hypot re im) re) 0))))) (sqrt (sqrt (+ (* (- (hypot re im) re) (- (hypot re im) re)) (- (* 0 0) (* (- (hypot re im) re) 0)))))) (* (sqrt (sqrt (* 2.0 (+ (pow (- (hypot re im) re) 3) (pow 0 3))))) (sqrt (sqrt (* 2.0 (- (* (- (hypot re im) re) (- (hypot re im) re)) (* 0 0)))))) (* (sqrt (sqrt (+ (* (- (hypot re im) re) (- (hypot re im) re)) (- (* 0 0) (* (- (hypot re im) re) 0))))) (sqrt (sqrt (- (- (hypot re im) re) 0)))) (* (sqrt (sqrt (* 2.0 (- (* (- (hypot re im) re) (- (hypot re im) re)) (* 0 0))))) (sqrt (sqrt (* 2.0 (+ (pow (- (hypot re im) re) 3) (pow 0 3)))))) (* (sqrt (sqrt (- (- (hypot re im) re) 0))) (sqrt (sqrt (+ (* (- (hypot re im) re) (- (hypot re im) re)) (- (* 0 0) (* (- (hypot re im) re) 0)))))) (* (sqrt (sqrt (* 2.0 (- (* (- (hypot re im) re) (- (hypot re im) re)) (* 0 0))))) (sqrt (sqrt (* 2.0 (- (* (- (hypot re im) re) (- (hypot re im) re)) (* 0 0)))))) (* (sqrt (sqrt (- (- (hypot re im) re) 0))) (sqrt (sqrt (- (- (hypot re im) re) 0)))) (* (* (cbrt (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0))))) (cbrt (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0))))) (cbrt (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0))))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0))))) (cbrt (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))))) (* (sqrt (* (cbrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (cbrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))))) (sqrt (* (cbrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (cbrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0))))))) (* (sqrt (cbrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0))))) (sqrt (cbrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ (- (hypot re im) re) 0))) (sqrt (sqrt (+ (- (hypot re im) re) 0)))) (* (sqrt (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0))))) (sqrt (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))))) (* (sqrt (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0))))) (sqrt (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))))) (* (sqrt (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0))))) (sqrt (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))))) (* (sqrt (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0))))) (sqrt (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0))))) (* (sqrt (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0))))) (sqrt (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))))) (* (sqrt (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0))))) (sqrt (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))))) (* 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re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) (- (+ (* 1/32 (* (sqrt (sqrt 2.0)) (* (pow (/ 1 (pow im 7)) 1/4) (pow re 2)))) (* (sqrt (sqrt 2.0)) (pow im 1/4))) (* 1/4 (* (sqrt (sqrt 2.0)) (* (pow (/ 1 (pow im 3)) 1/4) re)))) (* (sqrt (sqrt 2.0)) (exp (* 1/4 (- (+ (log (/ 1 re)) (log 1/2)) (* 2 (log (/ 1 im))))))) (* (exp (* 1/4 (- (log 2) (log (/ -1 re))))) (sqrt (sqrt 2.0))) 2.395 * * [simplify]: iteration 0 : 486 enodes (cost 1300 ) 2.405 * * [simplify]: iteration 1 : 2225 enodes (cost 1060 ) 2.465 * * [simplify]: iteration 2 : 5001 enodes (cost 1032 ) 2.471 * [simplify]: Simplified to: (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (fma (- re) 1 re) (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (fma (- re) 1 re) (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (- re) (- re) (exp (- (hypot re im) re)) (log (- (hypot re im) re)) (exp (- (hypot re im) re)) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (pow (- (hypot re im) re) 3) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (- (pow (hypot re im) 3) (pow re 3)) (fma (hypot re im) (hypot re im) (fma re re (* (hypot re im) re))) (- re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- (hypot re im) re) (- re) (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (fma (- re) 1 re) (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (fma (- re) 1 re) (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (fma 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2 1/2 1 1/2 1/2 1/2 1/2 (* (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0))))) (cbrt (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0))))))) (* (fabs (cbrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0))))) (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0))))) (* (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (sqrt (sqrt 2.0))) (pow (sqrt (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0))))) 3) (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (pow (sqrt (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0))))) 3) (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (pow (cbrt (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0))))) 4) (* (sqrt (cbrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0))))) (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0))))) (* (sqrt (sqrt (+ (- (hypot re im) re) 0))) (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0))))) (pow (sqrt (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0))))) 3) (sqrt (* 2.0 (+ (- (hypot re im) re) 0))) (pow (sqrt (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0))))) 3) (sqrt (* 2.0 (+ (- (hypot re im) re) 0))) (* (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (sqrt (sqrt (* 2.0 (+ (pow (- (hypot re im) re) 3) 0))))) (* (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (sqrt (sqrt (* 2.0 (- (* (- (hypot re im) re) (- (hypot re im) re)) 0))))) (* (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (sqrt (sqrt (* 2.0 (+ (pow (- (hypot re im) re) 3) 0))))) (* (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (sqrt (sqrt (* 2.0 (- (* (- (hypot re im) re) (- (hypot re im) re)) 0))))) (expm1 (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0))))) (log1p (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0))))) (log (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0))))) (exp (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0))))) (* (cbrt (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0))))) (cbrt (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))))) (cbrt (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0))))) (pow (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) 3) (fabs (cbrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0))))) (sqrt (cbrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0))))) (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (- (hypot re im) re) 0))) (sqrt (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0))))) (sqrt (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0))))) 1 (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (sqrt (sqrt (* 2.0 (+ (pow (- (hypot re im) re) 3) 0)))) (sqrt (sqrt (+ (* (- (hypot re im) re) (- (hypot re im) re)) (- 0 (* (- (hypot re im) re) 0))))) (sqrt (sqrt (* 2.0 (- (* (- (hypot re im) re) (- (hypot re im) re)) 0)))) (sqrt (sqrt (+ (- (hypot re im) re) 0))) 1/4 1/2 1/4 1/4 (sqrt (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0))))) (sqrt (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0))))) (- im re) 0 (* -2 re) (- im re) 0 (* -2 re) (fma (- (* +nan.0 (sqrt 2.0))) (pow im 2) (* (* +nan.0 (sqrt 2.0)) (- im (* im re)))) 0 (fma (- (sqrt 2.0)) +nan.0 (* +nan.0 (- (/ (sqrt 2.0) (pow re 2)) (/ (sqrt 2.0) re)))) (fma (* 1/32 (sqrt (sqrt 2.0))) (* (pow (/ 1 (pow im 7)) 1/4) (pow re 2)) (- (* (sqrt (sqrt 2.0)) (pow im 1/4)) (* 1/4 (* (sqrt (sqrt 2.0)) (* (pow (/ 1 (pow im 3)) 1/4) re))))) (* (sqrt (sqrt 2.0)) (exp (* 1/4 (- (+ (log (/ 1 re)) (log 1/2)) (* 2 (log (/ 1 im))))))) (* (exp (* 1/4 (- (log 2) (log (/ -1 re))))) (sqrt (sqrt 2.0))) 2.472 * * * [progress]: adding candidates to table 2.848 * [progress]: [Phase 3 of 3] Extracting. 2.848 * * [regime]: Finding splitpoints for: (# # # # # # #) 2.851 * * * [regime-changes]: Trying 2 branch expressions: (im re) 2.851 * * * * [regimes]: Trying to branch on im from (# # # # # # #) 2.893 * * * * [regimes]: Trying to branch on re from (# # # # # # #) 2.928 * * * [regime]: Found split indices: #