11.704 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.023 * * * [progress]: [2/2] Setting up program. 0.026 * [progress]: [Phase 2 of 3] Improving. 0.026 * [simplify]: Simplifying using # : (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.028 * * [simplify]: iteration 0 : 24 enodes (cost 8 ) 0.030 * * [simplify]: iteration 1 : 30 enodes (cost 8 ) 0.031 * * [simplify]: iteration 2 : 33 enodes (cost 8 ) 0.032 * * [simplify]: iteration 3 : 33 enodes (cost 8 ) 0.032 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.033 * * [progress]: iteration 1 / 4 0.033 * * * [progress]: picking best candidate 0.035 * * * * [pick]: Picked # 0.035 * * * [progress]: localizing error 0.045 * * * [progress]: generating rewritten candidates 0.045 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1) 0.053 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.089 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.113 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1) 0.122 * * * [progress]: generating series expansions 0.122 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 0.123 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.123 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.123 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.123 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.123 * [taylor]: Taking taylor expansion of re in im 0.123 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.123 * [taylor]: Taking taylor expansion of im in im 0.123 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.124 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.124 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.124 * [taylor]: Taking taylor expansion of re in re 0.124 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.124 * [taylor]: Taking taylor expansion of im in re 0.124 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.124 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.124 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.124 * [taylor]: Taking taylor expansion of re in re 0.124 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.124 * [taylor]: Taking taylor expansion of im in re 0.125 * [taylor]: Taking taylor expansion of im in im 0.125 * [taylor]: Taking taylor expansion of 0 in im 0.126 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.126 * [taylor]: Taking taylor expansion of 1/2 in im 0.126 * [taylor]: Taking taylor expansion of im in im 0.130 * [taylor]: Taking taylor expansion of 0 in im 0.131 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.131 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.131 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.131 * [taylor]: Taking taylor expansion of im in im 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.131 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.131 * [taylor]: Taking taylor expansion of re in im 0.133 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.133 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.133 * [taylor]: Taking taylor expansion of im in re 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.133 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.133 * [taylor]: Taking taylor expansion of re in re 0.135 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.135 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.136 * [taylor]: Taking taylor expansion of im in re 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.136 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.136 * [taylor]: Taking taylor expansion of re in re 0.138 * [taylor]: Taking taylor expansion of 1 in im 0.138 * [taylor]: Taking taylor expansion of 0 in im 0.140 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.140 * [taylor]: Taking taylor expansion of 1/2 in im 0.140 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.140 * [taylor]: Taking taylor expansion of im in im 0.142 * [taylor]: Taking taylor expansion of 0 in im 0.144 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.144 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.144 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.144 * [taylor]: Taking taylor expansion of im in im 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.144 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.144 * [taylor]: Taking taylor expansion of re in im 0.146 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.146 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.146 * [taylor]: Taking taylor expansion of im in re 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.146 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.146 * [taylor]: Taking taylor expansion of re in re 0.148 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.148 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.148 * [taylor]: Taking taylor expansion of im in re 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.149 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.149 * [taylor]: Taking taylor expansion of re in re 0.151 * [taylor]: Taking taylor expansion of 1 in im 0.151 * [taylor]: Taking taylor expansion of 0 in im 0.152 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.152 * [taylor]: Taking taylor expansion of 1/2 in im 0.152 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.152 * [taylor]: Taking taylor expansion of im in im 0.155 * [taylor]: Taking taylor expansion of 0 in im 0.156 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.157 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 0.157 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.157 * [taylor]: Taking taylor expansion of re in im 0.157 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.157 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.157 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.157 * [taylor]: Taking taylor expansion of re in im 0.157 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.157 * [taylor]: Taking taylor expansion of im in im 0.157 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.157 * [taylor]: Taking taylor expansion of re in re 0.157 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.157 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.157 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.157 * [taylor]: Taking taylor expansion of re in re 0.157 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.157 * [taylor]: Taking taylor expansion of im in re 0.158 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.158 * [taylor]: Taking taylor expansion of re in re 0.158 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.158 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.158 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.158 * [taylor]: Taking taylor expansion of re in re 0.158 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.158 * [taylor]: Taking taylor expansion of im in re 0.159 * [taylor]: Taking taylor expansion of im in im 0.159 * [taylor]: Taking taylor expansion of 1 in im 0.160 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.160 * [taylor]: Taking taylor expansion of 1/2 in im 0.160 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.160 * [taylor]: Taking taylor expansion of im in im 0.162 * [taylor]: Taking taylor expansion of 0 in im 0.163 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.164 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.164 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.164 * [taylor]: Taking taylor expansion of re in im 0.164 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.164 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.164 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.164 * [taylor]: Taking taylor expansion of im in im 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.164 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.164 * [taylor]: Taking taylor expansion of re in im 0.166 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.166 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.166 * [taylor]: Taking taylor expansion of re in re 0.166 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.166 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.166 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.166 * [taylor]: Taking taylor expansion of im in re 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.166 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.166 * [taylor]: Taking taylor expansion of re in re 0.169 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.169 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.169 * [taylor]: Taking taylor expansion of re in re 0.169 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.169 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.169 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.169 * [taylor]: Taking taylor expansion of im in re 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.169 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.169 * [taylor]: Taking taylor expansion of re in re 0.171 * [taylor]: Taking taylor expansion of 2 in im 0.172 * [taylor]: Taking taylor expansion of 0 in im 0.175 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.175 * [taylor]: Taking taylor expansion of 1/2 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 0.178 * [taylor]: Taking taylor expansion of 0 in im 0.180 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.180 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.180 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.180 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.180 * [taylor]: Taking taylor expansion of im in im 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.181 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.181 * [taylor]: Taking taylor expansion of re in im 0.182 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.182 * [taylor]: Taking taylor expansion of re in im 0.182 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.183 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.183 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.183 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.183 * [taylor]: Taking taylor expansion of im in re 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.183 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.183 * [taylor]: Taking taylor expansion of re in re 0.185 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.185 * [taylor]: Taking taylor expansion of re in re 0.185 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.185 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.185 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.185 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.185 * [taylor]: Taking taylor expansion of im in re 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.185 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.185 * [taylor]: Taking taylor expansion of re in re 0.187 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.187 * [taylor]: Taking taylor expansion of re in re 0.188 * [taylor]: Taking taylor expansion of 0 in im 0.189 * [taylor]: Taking taylor expansion of 0 in im 0.191 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.191 * [taylor]: Taking taylor expansion of 1/2 in im 0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.191 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.191 * [taylor]: Taking taylor expansion of im in im 0.195 * [taylor]: Taking taylor expansion of 0 in im 0.197 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.197 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in (re im) around 0 0.197 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 0.197 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.197 * [taylor]: Taking taylor expansion of 2.0 in im 0.198 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 0.198 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.198 * [taylor]: Taking taylor expansion of re in im 0.198 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.198 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.198 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.198 * [taylor]: Taking taylor expansion of re in im 0.198 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.198 * [taylor]: Taking taylor expansion of im in im 0.199 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.199 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.199 * [taylor]: Taking taylor expansion of 2.0 in re 0.199 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.199 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.199 * [taylor]: Taking taylor expansion of 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 0.200 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) 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 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.201 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.201 * [taylor]: Taking taylor expansion of 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 0.202 * [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 0.204 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.204 * [taylor]: Taking taylor expansion of 1/2 in im 0.204 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.204 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.204 * [taylor]: Taking taylor expansion of 2.0 in im 0.205 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.205 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.205 * [taylor]: Taking taylor expansion of im in im 0.218 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.218 * [taylor]: Taking taylor expansion of 1/8 in im 0.218 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.218 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.218 * [taylor]: Taking taylor expansion of 2.0 in im 0.218 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.219 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.219 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.219 * [taylor]: Taking taylor expansion of im in im 0.232 * [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 0.232 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.232 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.232 * [taylor]: Taking taylor expansion of 2.0 in im 0.233 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.233 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.233 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.233 * [taylor]: Taking taylor expansion of re in im 0.233 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.233 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.233 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.233 * [taylor]: Taking taylor expansion of im in im 0.234 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.234 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.234 * [taylor]: Taking taylor expansion of re in im 0.237 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.237 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.237 * [taylor]: Taking taylor expansion of 2.0 in re 0.237 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.237 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.237 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.237 * [taylor]: Taking taylor expansion of re in re 0.238 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.238 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.238 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.238 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.238 * [taylor]: Taking taylor expansion of im in re 0.238 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.238 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.238 * [taylor]: Taking taylor expansion of re in re 0.241 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.241 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.241 * [taylor]: Taking taylor expansion of 2.0 in re 0.241 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.241 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.242 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.242 * [taylor]: Taking taylor expansion of re in re 0.242 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.242 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.242 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.242 * [taylor]: Taking taylor expansion of im in re 0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.242 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.242 * [taylor]: Taking taylor expansion of re in re 0.245 * [taylor]: Taking taylor expansion of 0 in im 0.247 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.247 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.247 * [taylor]: Taking taylor expansion of +nan.0 in im 0.247 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.247 * [taylor]: Taking taylor expansion of 2.0 in im 0.251 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.251 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.251 * [taylor]: Taking taylor expansion of +nan.0 in im 0.251 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.251 * [taylor]: Taking taylor expansion of 2.0 in im 0.259 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.259 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.259 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) 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 2)) 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 2) in im 0.260 * [taylor]: Taking taylor expansion of im in im 0.261 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.261 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.261 * [taylor]: Taking taylor expansion of +nan.0 in im 0.261 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.261 * [taylor]: Taking taylor expansion of 2.0 in im 0.271 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.271 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.271 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.271 * [taylor]: Taking taylor expansion of +nan.0 in im 0.271 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.271 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.271 * [taylor]: Taking taylor expansion of 2.0 in im 0.271 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.271 * [taylor]: Taking taylor expansion of im in im 0.272 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.272 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.272 * [taylor]: Taking taylor expansion of +nan.0 in im 0.272 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.272 * [taylor]: Taking taylor expansion of 2.0 in im 0.284 * [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 0.284 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.284 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.284 * [taylor]: Taking taylor expansion of 2.0 in im 0.285 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.285 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.285 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.285 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.285 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.285 * [taylor]: Taking taylor expansion of im in im 0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.286 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.286 * [taylor]: Taking taylor expansion of re in im 0.287 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.287 * [taylor]: Taking taylor expansion of re in im 0.289 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.289 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.289 * [taylor]: Taking taylor expansion of 2.0 in re 0.289 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.289 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.289 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.289 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.289 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.289 * [taylor]: Taking taylor expansion of im in re 0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.290 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.290 * [taylor]: Taking taylor expansion of re in re 0.292 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.292 * [taylor]: Taking taylor expansion of re in re 0.296 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.296 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.296 * [taylor]: Taking taylor expansion of 2.0 in re 0.297 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.297 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.297 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.297 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.297 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.297 * [taylor]: Taking taylor expansion of im in re 0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.297 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.297 * [taylor]: Taking taylor expansion of re in re 0.302 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.302 * [taylor]: Taking taylor expansion of re in re 0.307 * [taylor]: Taking taylor expansion of 0 in im 0.307 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.307 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.307 * [taylor]: Taking taylor expansion of +nan.0 in im 0.307 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.307 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.307 * [taylor]: Taking taylor expansion of 2.0 in im 0.308 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.308 * [taylor]: Taking taylor expansion of im in im 0.314 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.315 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.315 * [taylor]: Taking taylor expansion of +nan.0 in im 0.315 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.315 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.315 * [taylor]: Taking taylor expansion of 2.0 in im 0.315 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.315 * [taylor]: Taking taylor expansion of im in im 0.330 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.330 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.330 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.330 * [taylor]: Taking taylor expansion of +nan.0 in im 0.330 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.330 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.330 * [taylor]: Taking taylor expansion of 2.0 in im 0.331 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.331 * [taylor]: Taking taylor expansion of im in im 0.332 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.332 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) 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 6)) 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 6) in im 0.332 * [taylor]: Taking taylor expansion of im in im 0.354 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1) 0.354 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.354 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.354 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.354 * [taylor]: Taking taylor expansion of re in im 0.354 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.354 * [taylor]: Taking taylor expansion of im in im 0.354 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.354 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.354 * [taylor]: Taking taylor expansion of re in re 0.354 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.354 * [taylor]: Taking taylor expansion of im in re 0.354 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.354 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.354 * [taylor]: Taking taylor expansion of re in re 0.354 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.354 * [taylor]: Taking taylor expansion of im in re 0.354 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.354 * [taylor]: Taking taylor expansion of im in im 0.355 * [taylor]: Taking taylor expansion of 0 in im 0.355 * [taylor]: Taking taylor expansion of 1 in im 0.357 * [taylor]: Taking taylor expansion of 0 in im 0.358 * [taylor]: Taking taylor expansion of 0 in im 0.359 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.359 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) 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 (/ 1 (pow re 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 (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) 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 (/ 1 (pow re 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 0.360 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.360 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.360 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.360 * [taylor]: Taking taylor expansion of im in re 0.360 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.360 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.360 * [taylor]: Taking taylor expansion of re in re 0.361 * [taylor]: Taking taylor expansion of 1 in im 0.362 * [taylor]: Taking taylor expansion of 0 in im 0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.363 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.363 * [taylor]: Taking taylor expansion of im in im 0.364 * [taylor]: Taking taylor expansion of 0 in im 0.367 * [taylor]: Taking taylor expansion of 0 in im 0.368 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.368 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 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 0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.369 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.369 * [taylor]: Taking taylor expansion of re in im 0.369 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.369 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.369 * [taylor]: Taking taylor expansion of im in re 0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.369 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.369 * [taylor]: Taking taylor expansion of re in re 0.370 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.370 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.370 * [taylor]: Taking taylor expansion of im in re 0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.370 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.370 * [taylor]: Taking taylor expansion of re in re 0.370 * [taylor]: Taking taylor expansion of 1 in im 0.371 * [taylor]: Taking taylor expansion of 0 in im 0.372 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.372 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.372 * [taylor]: Taking taylor expansion of im in im 0.374 * [taylor]: Taking taylor expansion of 0 in im 0.377 * [taylor]: Taking taylor expansion of 0 in im 0.378 * * * [progress]: simplifying candidates 0.379 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (expm1 (+ (sqrt (+ (* re re) (* im im))) re)) (log1p (+ (sqrt (+ (* re re) (* im im))) re)) (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) (expm1 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (log1p (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (* (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (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) (+ re im) (* 2 re) 0 (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0 (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 0.387 * * [simplify]: iteration 0 : 296 enodes (cost 446 ) 0.392 * * [simplify]: iteration 1 : 1086 enodes (cost 401 ) 0.410 * * [simplify]: iteration 2 : 3561 enodes (cost 382 ) 0.470 * * [simplify]: iteration 3 : 5001 enodes (cost 381 ) 0.472 * [simplify]: Simplified to: (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (hypot re im) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (hypot re im) (hypot (pow im 3) (pow re 3)) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (expm1 (+ (sqrt (+ (* re re) (* im im))) re)) (log1p (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ re (hypot re im))) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ re (hypot re im))) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (pow (+ re (hypot re im)) 3) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (fma (pow re 2) re (pow (hypot re im) 3)) (fma re (- re (hypot re im)) (fma re re (* im im))) (+ 0 (pow im 2)) (- (hypot re im) re) (+ re (hypot re im)) (expm1 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (log1p (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (pow (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 3) (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (expm1 (+ (* re re) (* im im))) (log1p (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (pow (hypot re im) 6) (hypot re im) (hypot re im) (fma im (pow im 5) (pow re 6)) (fma im (- (pow im 3) (* (pow re 2) im)) (pow re 4)) (fma (- (pow im 3)) im (pow re 4)) (- (* re re) (* im im)) im re (* -1 re) (+ re im) (* 2 re) 0 (* (* +nan.0 (sqrt 2.0)) (+ (- (* re re)) (- im re))) (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) 0 (fma re re (* im im)) (fma re re (* im im)) (fma re re (* im im)) 0.473 * * * [progress]: adding candidates to table 0.675 * * [progress]: iteration 2 / 4 0.675 * * * [progress]: picking best candidate 0.688 * * * * [pick]: Picked # 0.688 * * * [progress]: localizing error 0.695 * * * [progress]: generating rewritten candidates 0.695 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 2) 0.703 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.712 * * * [progress]: generating series expansions 0.712 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 2) 0.712 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 0.712 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.712 * [taylor]: Taking taylor expansion of re in im 0.712 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.712 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.712 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.712 * [taylor]: Taking taylor expansion of (* re re) in im 0.712 * [taylor]: Taking taylor expansion of re in im 0.712 * [taylor]: Taking taylor expansion of re in im 0.712 * [taylor]: Taking taylor expansion of (* im im) in im 0.712 * [taylor]: Taking taylor expansion of im in im 0.712 * [taylor]: Taking taylor expansion of im in im 0.713 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.713 * [taylor]: Taking taylor expansion of re in re 0.713 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.713 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.714 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.714 * [taylor]: Taking taylor expansion of (* re re) in re 0.714 * [taylor]: Taking taylor expansion of re in re 0.714 * [taylor]: Taking taylor expansion of re in re 0.714 * [taylor]: Taking taylor expansion of (* im im) in re 0.714 * [taylor]: Taking taylor expansion of im in re 0.714 * [taylor]: Taking taylor expansion of im in re 0.715 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.715 * [taylor]: Taking taylor expansion of re in re 0.715 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.715 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.715 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.715 * [taylor]: Taking taylor expansion of (* re re) in re 0.715 * [taylor]: Taking taylor expansion of re in re 0.715 * [taylor]: Taking taylor expansion of re in re 0.715 * [taylor]: Taking taylor expansion of (* im im) in re 0.715 * [taylor]: Taking taylor expansion of im in re 0.715 * [taylor]: Taking taylor expansion of im in re 0.716 * [taylor]: Taking taylor expansion of im in im 0.716 * [taylor]: Taking taylor expansion of 1 in im 0.718 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.718 * [taylor]: Taking taylor expansion of 1/2 in im 0.718 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.718 * [taylor]: Taking taylor expansion of im in im 0.720 * [taylor]: Taking taylor expansion of 0 in im 0.721 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 0.721 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 0.721 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.721 * [taylor]: Taking taylor expansion of re in im 0.721 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.721 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.721 * [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 re in im 0.721 * [taylor]: Taking taylor expansion of (/ 1 re) 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 im in im 0.722 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.722 * [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 0.725 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.725 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.725 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.725 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.725 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.725 * [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 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 im in re 0.725 * [taylor]: Taking taylor expansion of (/ 1 im) 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 re in re 0.728 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.728 * [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 im in re 0.729 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.729 * [taylor]: Taking taylor expansion of im in re 0.731 * [taylor]: Taking taylor expansion of 2 in im 0.732 * [taylor]: Taking taylor expansion of 0 in im 0.735 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.735 * [taylor]: Taking taylor expansion of 1/2 in im 0.735 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.735 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.735 * [taylor]: Taking taylor expansion of im in im 0.739 * [taylor]: Taking taylor expansion of 0 in im 0.740 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 0.740 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.740 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.741 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.741 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.741 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.741 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.741 * [taylor]: Taking taylor expansion of -1 in im 0.741 * [taylor]: Taking taylor expansion of re in im 0.741 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.741 * [taylor]: Taking taylor expansion of -1 in im 0.741 * [taylor]: Taking taylor expansion of re in im 0.741 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.741 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.741 * [taylor]: Taking taylor expansion of -1 in im 0.741 * [taylor]: Taking taylor expansion of im in im 0.741 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.741 * [taylor]: Taking taylor expansion of -1 in im 0.741 * [taylor]: Taking taylor expansion of im in im 0.744 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.744 * [taylor]: Taking taylor expansion of re in im 0.744 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.744 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.744 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.744 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.744 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.744 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.744 * [taylor]: Taking taylor expansion of -1 in re 0.744 * [taylor]: Taking taylor expansion of re in re 0.744 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.744 * [taylor]: Taking taylor expansion of -1 in re 0.744 * [taylor]: Taking taylor expansion of re in re 0.745 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.745 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.745 * [taylor]: Taking taylor expansion of -1 in re 0.745 * [taylor]: Taking taylor expansion of im in re 0.745 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.745 * [taylor]: Taking taylor expansion of -1 in re 0.745 * [taylor]: Taking taylor expansion of im in re 0.747 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.747 * [taylor]: Taking taylor expansion of re in re 0.747 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.747 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.747 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.747 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.747 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.748 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.748 * [taylor]: Taking taylor expansion of -1 in re 0.748 * [taylor]: Taking taylor expansion of re in re 0.748 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.748 * [taylor]: Taking taylor expansion of -1 in re 0.748 * [taylor]: Taking taylor expansion of re in re 0.748 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.748 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.748 * [taylor]: Taking taylor expansion of -1 in re 0.748 * [taylor]: Taking taylor expansion of im in re 0.748 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.748 * [taylor]: Taking taylor expansion of -1 in re 0.748 * [taylor]: Taking taylor expansion of im in re 0.751 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.751 * [taylor]: Taking taylor expansion of re in re 0.751 * [taylor]: Taking taylor expansion of 0 in im 0.752 * [taylor]: Taking taylor expansion of 0 in im 0.755 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.755 * [taylor]: Taking taylor expansion of 1/2 in im 0.755 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.755 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.755 * [taylor]: Taking taylor expansion of im in im 0.760 * [taylor]: Taking taylor expansion of 0 in im 0.761 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.761 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0 0.761 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im 0.761 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 0.761 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.761 * [taylor]: Taking taylor expansion of re in im 0.761 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.761 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.761 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.761 * [taylor]: Taking taylor expansion of (* re re) in im 0.761 * [taylor]: Taking taylor expansion of re in im 0.761 * [taylor]: Taking taylor expansion of re in im 0.761 * [taylor]: Taking taylor expansion of (* im im) in im 0.761 * [taylor]: Taking taylor expansion of im in im 0.761 * [taylor]: Taking taylor expansion of im in im 0.763 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.763 * [taylor]: Taking taylor expansion of 2.0 in im 0.763 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 0.763 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 0.763 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.764 * [taylor]: Taking taylor expansion of re in re 0.764 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.764 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.764 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.764 * [taylor]: Taking taylor expansion of (* re re) in re 0.764 * [taylor]: Taking taylor expansion of re in re 0.764 * [taylor]: Taking taylor expansion of re in re 0.764 * [taylor]: Taking taylor expansion of (* im im) in re 0.764 * [taylor]: Taking taylor expansion of im in re 0.764 * [taylor]: Taking taylor expansion of im in re 0.765 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.765 * [taylor]: Taking taylor expansion of 2.0 in re 0.766 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 0.766 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 0.766 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.766 * [taylor]: Taking taylor expansion of re in re 0.766 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.766 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.766 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.766 * [taylor]: Taking taylor expansion of (* re re) in re 0.766 * [taylor]: Taking taylor expansion of re in re 0.766 * [taylor]: Taking taylor expansion of re in re 0.766 * [taylor]: Taking taylor expansion of (* im im) in re 0.766 * [taylor]: Taking taylor expansion of im in re 0.766 * [taylor]: Taking taylor expansion of im in re 0.767 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.767 * [taylor]: Taking taylor expansion of 2.0 in re 0.768 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.769 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.769 * [taylor]: Taking taylor expansion of 2.0 in im 0.769 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.769 * [taylor]: Taking taylor expansion of im in im 0.771 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.771 * [taylor]: Taking taylor expansion of 1/2 in im 0.771 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.771 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.771 * [taylor]: Taking taylor expansion of 2.0 in im 0.772 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.772 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.772 * [taylor]: Taking taylor expansion of im in im 0.785 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.785 * [taylor]: Taking taylor expansion of 1/8 in im 0.785 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.785 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.785 * [taylor]: Taking taylor expansion of 2.0 in im 0.786 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.786 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.786 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.786 * [taylor]: Taking taylor expansion of im in im 0.799 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in (re im) around 0 0.799 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in im 0.799 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 0.799 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 0.799 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.799 * [taylor]: Taking taylor expansion of re in im 0.799 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.800 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.800 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.800 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.800 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.800 * [taylor]: Taking taylor expansion of re in im 0.800 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.800 * [taylor]: Taking taylor expansion of re in im 0.800 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.800 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.800 * [taylor]: Taking taylor expansion of im in im 0.800 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.800 * [taylor]: Taking taylor expansion of im in im 0.803 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.803 * [taylor]: Taking taylor expansion of 2.0 in im 0.804 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 0.804 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 0.804 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.804 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.804 * [taylor]: Taking taylor expansion of re in re 0.804 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.805 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.805 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.805 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.805 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.805 * [taylor]: Taking taylor expansion of re in re 0.805 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.805 * [taylor]: Taking taylor expansion of re in re 0.805 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.805 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.805 * [taylor]: Taking taylor expansion of im in re 0.805 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.805 * [taylor]: Taking taylor expansion of im in re 0.808 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.808 * [taylor]: Taking taylor expansion of 2.0 in re 0.809 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 0.809 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 0.809 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.809 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.809 * [taylor]: Taking taylor expansion of re in re 0.809 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.809 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.809 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.809 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.809 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.809 * [taylor]: Taking taylor expansion of re in re 0.810 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.810 * [taylor]: Taking taylor expansion of re in re 0.810 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.810 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.810 * [taylor]: Taking taylor expansion of im in re 0.810 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.810 * [taylor]: Taking taylor expansion of im in re 0.813 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.813 * [taylor]: Taking taylor expansion of 2.0 in re 0.814 * [taylor]: Taking taylor expansion of 0 in im 0.815 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.815 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.815 * [taylor]: Taking taylor expansion of +nan.0 in im 0.815 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.815 * [taylor]: Taking taylor expansion of 2.0 in im 0.821 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.821 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.821 * [taylor]: Taking taylor expansion of +nan.0 in im 0.821 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.821 * [taylor]: Taking taylor expansion of 2.0 in im 0.829 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.829 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.829 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.829 * [taylor]: Taking taylor expansion of +nan.0 in im 0.829 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.829 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.829 * [taylor]: Taking taylor expansion of 2.0 in im 0.830 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.830 * [taylor]: Taking taylor expansion of im in im 0.831 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.831 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.831 * [taylor]: Taking taylor expansion of +nan.0 in im 0.831 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.831 * [taylor]: Taking taylor expansion of 2.0 in im 0.841 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.841 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.841 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.841 * [taylor]: Taking taylor expansion of +nan.0 in im 0.841 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.841 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.841 * [taylor]: Taking taylor expansion of 2.0 in im 0.842 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.842 * [taylor]: Taking taylor expansion of im in im 0.843 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.843 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.843 * [taylor]: Taking taylor expansion of +nan.0 in im 0.843 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.843 * [taylor]: Taking taylor expansion of 2.0 in im 0.854 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 0.854 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 0.854 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.855 * [taylor]: Taking taylor expansion of 2.0 in im 0.855 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 0.855 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.855 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.855 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.855 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.855 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.855 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.855 * [taylor]: Taking taylor expansion of -1 in im 0.855 * [taylor]: Taking taylor expansion of re in im 0.855 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.855 * [taylor]: Taking taylor expansion of -1 in im 0.855 * [taylor]: Taking taylor expansion of re in im 0.856 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.856 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.856 * [taylor]: Taking taylor expansion of -1 in im 0.856 * [taylor]: Taking taylor expansion of im in im 0.856 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.856 * [taylor]: Taking taylor expansion of -1 in im 0.856 * [taylor]: Taking taylor expansion of im in im 0.858 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.858 * [taylor]: Taking taylor expansion of re in im 0.860 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.860 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.860 * [taylor]: Taking taylor expansion of 2.0 in re 0.860 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.860 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.860 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.860 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.860 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.860 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.860 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.861 * [taylor]: Taking taylor expansion of -1 in re 0.861 * [taylor]: Taking taylor expansion of re in re 0.861 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.861 * [taylor]: Taking taylor expansion of -1 in re 0.861 * [taylor]: Taking taylor expansion of re in re 0.861 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.861 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.861 * [taylor]: Taking taylor expansion of -1 in re 0.861 * [taylor]: Taking taylor expansion of im in re 0.861 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.861 * [taylor]: Taking taylor expansion of -1 in re 0.861 * [taylor]: Taking taylor expansion of im in re 0.867 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.867 * [taylor]: Taking taylor expansion of re in re 0.872 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) 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 0.872 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.872 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.872 * [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 0.873 * [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 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 0.876 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.876 * [taylor]: Taking taylor expansion of re in re 0.881 * [taylor]: Taking taylor expansion of 0 in im 0.882 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.882 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.882 * [taylor]: Taking taylor expansion of +nan.0 in im 0.882 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.882 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.882 * [taylor]: Taking taylor expansion of 2.0 in im 0.883 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.883 * [taylor]: Taking taylor expansion of im in im 0.890 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.890 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.890 * [taylor]: Taking taylor expansion of +nan.0 in im 0.890 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.890 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.890 * [taylor]: Taking taylor expansion of 2.0 in im 0.890 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.890 * [taylor]: Taking taylor expansion of im in im 0.905 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.905 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.905 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.905 * [taylor]: Taking taylor expansion of +nan.0 in im 0.906 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.906 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.906 * [taylor]: Taking taylor expansion of 2.0 in im 0.906 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.906 * [taylor]: Taking taylor expansion of im in im 0.907 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.907 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.907 * [taylor]: Taking taylor expansion of +nan.0 in im 0.907 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.907 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.907 * [taylor]: Taking taylor expansion of 2.0 in im 0.908 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.908 * [taylor]: Taking taylor expansion of im in im 0.929 * * * [progress]: simplifying candidates 0.929 * [simplify]: Simplifying using # : (expm1 (+ (hypot re im) re)) (log1p (+ (hypot re im) re)) (* (exp (hypot re im)) (exp re)) (log (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))) (cbrt (+ (hypot re im) re)) (* (* (+ (hypot re im) re) (+ (hypot re im) re)) (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (+ (pow (hypot re im) 3) (pow re 3)) (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re))) (- (* (hypot re im) (hypot re im)) (* re re)) (- (hypot re im) re) (+ (hypot re im) re) (expm1 (sqrt (* 2.0 (+ (hypot re im) re)))) (log1p (sqrt (* 2.0 (+ (hypot re im) re)))) (log (sqrt (* 2.0 (+ (hypot re im) re)))) (exp (sqrt (* 2.0 (+ (hypot re im) re)))) (* (cbrt (sqrt (* 2.0 (+ (hypot re im) re)))) (cbrt (sqrt (* 2.0 (+ (hypot re im) re))))) (cbrt (sqrt (* 2.0 (+ (hypot re im) re)))) (* (* (sqrt (* 2.0 (+ (hypot re im) re))) (sqrt (* 2.0 (+ (hypot re im) re)))) (sqrt (* 2.0 (+ (hypot re im) re)))) (sqrt 2.0) (sqrt (+ (hypot re im) re)) (sqrt (* 2.0 (+ (pow (hypot re im) 3) (pow re 3)))) (sqrt (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re)))) (sqrt (* 2.0 (- (* (hypot re im) (hypot re im)) (* re re)))) (sqrt (- (hypot re im) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (+ (hypot re im) re)))) (sqrt (sqrt (* 2.0 (+ (hypot re im) re)))) (+ re im) (* 2 re) 0 (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0 0.933 * * [simplify]: iteration 0 : 183 enodes (cost 173 ) 0.937 * * [simplify]: iteration 1 : 519 enodes (cost 156 ) 0.946 * * [simplify]: iteration 2 : 1741 enodes (cost 150 ) 0.978 * * [simplify]: iteration 3 : 5001 enodes (cost 148 ) 0.979 * [simplify]: Simplified to: (expm1 (+ (hypot re im) re)) (log1p (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (log (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))) (cbrt (+ (hypot re im) re)) (pow (+ (hypot re im) re) 3) (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (+ (pow (hypot re im) 3) (pow re 3)) (fma (hypot re im) (- (hypot re im) re) (pow re 2)) (- (* (hypot re im) (hypot re im)) (* re re)) (- (hypot re im) re) (+ (hypot re im) re) (expm1 (sqrt (* 2.0 (+ (hypot re im) re)))) (log1p (sqrt (* 2.0 (+ (hypot re im) re)))) (log (sqrt (* 2.0 (+ (hypot re im) re)))) (exp (sqrt (* 2.0 (+ (hypot re im) re)))) (* (cbrt (sqrt (* 2.0 (+ (hypot re im) re)))) (cbrt (sqrt (* 2.0 (+ (hypot re im) re))))) (cbrt (sqrt (* 2.0 (+ (hypot re im) re)))) (pow (sqrt (* 2.0 (+ (hypot re im) re))) 3) (sqrt 2.0) (sqrt (+ (hypot re im) re)) (sqrt (* 2.0 (+ (pow (hypot re im) 3) (pow re 3)))) (sqrt (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re)))) (sqrt (* 2.0 (- (* (hypot re im) (hypot re im)) (* re re)))) (sqrt (- (hypot re im) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (+ (hypot re im) re)))) (sqrt (sqrt (* 2.0 (+ (hypot re im) re)))) (+ re im) (* 2 re) 0 (* (* +nan.0 (sqrt 2.0)) (- (- im re) (pow re 2))) (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) 0 0.980 * * * [progress]: adding candidates to table 1.073 * * [progress]: iteration 3 / 4 1.073 * * * [progress]: picking best candidate 1.086 * * * * [pick]: Picked # 1.086 * * * [progress]: localizing error 1.094 * * * [progress]: generating rewritten candidates 1.094 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 2 1) 1.100 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 1.128 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2) 1.137 * * * [progress]: generating series expansions 1.137 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 2 1) 1.138 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 1.138 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.138 * [taylor]: Taking taylor expansion of re in im 1.138 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.138 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.138 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.138 * [taylor]: Taking taylor expansion of (* re re) in im 1.138 * [taylor]: Taking taylor expansion of re in im 1.138 * [taylor]: Taking taylor expansion of re in im 1.138 * [taylor]: Taking taylor expansion of (* im im) in im 1.138 * [taylor]: Taking taylor expansion of im in im 1.138 * [taylor]: Taking taylor expansion of im in im 1.139 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.139 * [taylor]: Taking taylor expansion of re in re 1.139 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.139 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.139 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.139 * [taylor]: Taking taylor expansion of (* re re) in re 1.139 * [taylor]: Taking taylor expansion of re in re 1.139 * [taylor]: Taking taylor expansion of re in re 1.139 * [taylor]: Taking taylor expansion of (* im im) in re 1.139 * [taylor]: Taking taylor expansion of im in re 1.139 * [taylor]: Taking taylor expansion of im in re 1.140 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.140 * [taylor]: Taking taylor expansion of re in re 1.140 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.140 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.140 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.140 * [taylor]: Taking taylor expansion of (* re re) in re 1.140 * [taylor]: Taking taylor expansion of re in re 1.141 * [taylor]: Taking taylor expansion of re in re 1.141 * [taylor]: Taking taylor expansion of (* im im) in re 1.141 * [taylor]: Taking taylor expansion of im in re 1.141 * [taylor]: Taking taylor expansion of im in re 1.142 * [taylor]: Taking taylor expansion of im in im 1.142 * [taylor]: Taking taylor expansion of 1 in im 1.143 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.143 * [taylor]: Taking taylor expansion of 1/2 in im 1.143 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.143 * [taylor]: Taking taylor expansion of im in im 1.146 * [taylor]: Taking taylor expansion of 0 in im 1.147 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 1.147 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 1.147 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.147 * [taylor]: Taking taylor expansion of re in im 1.147 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.147 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.147 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.147 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.147 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.147 * [taylor]: Taking taylor expansion of re in im 1.147 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.147 * [taylor]: Taking taylor expansion of re in im 1.147 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.147 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.147 * [taylor]: Taking taylor expansion of im in im 1.147 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.147 * [taylor]: Taking taylor expansion of im in im 1.150 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.150 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.150 * [taylor]: Taking taylor expansion of re in re 1.150 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.150 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.150 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.150 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.150 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.150 * [taylor]: Taking taylor expansion of re in re 1.151 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.151 * [taylor]: Taking taylor expansion of re in re 1.151 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.151 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.151 * [taylor]: Taking taylor expansion of im in re 1.151 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.151 * [taylor]: Taking taylor expansion of im in re 1.153 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.153 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.153 * [taylor]: Taking taylor expansion of re in re 1.153 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.154 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.154 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.154 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.154 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.154 * [taylor]: Taking taylor expansion of re in re 1.154 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.154 * [taylor]: Taking taylor expansion of re in re 1.154 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.154 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.154 * [taylor]: Taking taylor expansion of im in re 1.154 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.154 * [taylor]: Taking taylor expansion of im in re 1.157 * [taylor]: Taking taylor expansion of 2 in im 1.157 * [taylor]: Taking taylor expansion of 0 in im 1.160 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.160 * [taylor]: Taking taylor expansion of 1/2 in im 1.160 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.160 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.160 * [taylor]: Taking taylor expansion of im in im 1.164 * [taylor]: Taking taylor expansion of 0 in im 1.166 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 1.166 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.166 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.166 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.166 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.166 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.166 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.166 * [taylor]: Taking taylor expansion of -1 in im 1.166 * [taylor]: Taking taylor expansion of re in im 1.166 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.166 * [taylor]: Taking taylor expansion of -1 in im 1.166 * [taylor]: Taking taylor expansion of re in im 1.166 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.166 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.166 * [taylor]: Taking taylor expansion of -1 in im 1.166 * [taylor]: Taking taylor expansion of im in im 1.167 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.167 * [taylor]: Taking taylor expansion of -1 in im 1.167 * [taylor]: Taking taylor expansion of im in im 1.169 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.169 * [taylor]: Taking taylor expansion of re in im 1.169 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.169 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.170 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.170 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.170 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.170 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.170 * [taylor]: Taking taylor expansion of -1 in re 1.170 * [taylor]: Taking taylor expansion of re in re 1.170 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.170 * [taylor]: Taking taylor expansion of -1 in re 1.170 * [taylor]: Taking taylor expansion of re in re 1.170 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.170 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.170 * [taylor]: Taking taylor expansion of -1 in re 1.170 * [taylor]: Taking taylor expansion of im in re 1.170 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.170 * [taylor]: Taking taylor expansion of -1 in re 1.170 * [taylor]: Taking taylor expansion of im in re 1.173 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.173 * [taylor]: Taking taylor expansion of re in re 1.173 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.173 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.173 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.173 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.173 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.173 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.173 * [taylor]: Taking taylor expansion of -1 in re 1.173 * [taylor]: Taking taylor expansion of re in re 1.173 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.173 * [taylor]: Taking taylor expansion of -1 in re 1.173 * [taylor]: Taking taylor expansion of re in re 1.174 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.176 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.176 * [taylor]: Taking taylor expansion of -1 in re 1.177 * [taylor]: Taking taylor expansion of im in re 1.177 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.177 * [taylor]: Taking taylor expansion of -1 in re 1.177 * [taylor]: Taking taylor expansion of im in re 1.179 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.179 * [taylor]: Taking taylor expansion of re in re 1.180 * [taylor]: Taking taylor expansion of 0 in im 1.181 * [taylor]: Taking taylor expansion of 0 in im 1.184 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.184 * [taylor]: Taking taylor expansion of 1/2 in im 1.184 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.184 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.184 * [taylor]: Taking taylor expansion of im in im 1.188 * [taylor]: Taking taylor expansion of 0 in im 1.190 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 1.190 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0 1.190 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im 1.190 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 1.190 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.190 * [taylor]: Taking taylor expansion of re in im 1.190 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.190 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.190 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.190 * [taylor]: Taking taylor expansion of (* re re) in im 1.190 * [taylor]: Taking taylor expansion of re in im 1.190 * [taylor]: Taking taylor expansion of re in im 1.191 * [taylor]: Taking taylor expansion of (* im im) in im 1.191 * [taylor]: Taking taylor expansion of im in im 1.191 * [taylor]: Taking taylor expansion of im in im 1.192 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.192 * [taylor]: Taking taylor expansion of 2.0 in im 1.192 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 1.192 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 1.192 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.193 * [taylor]: Taking taylor expansion of re in re 1.193 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.193 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.193 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.193 * [taylor]: Taking taylor expansion of (* re re) in re 1.193 * [taylor]: Taking taylor expansion of re in re 1.193 * [taylor]: Taking taylor expansion of re in re 1.193 * [taylor]: Taking taylor expansion of (* im im) in re 1.193 * [taylor]: Taking taylor expansion of im in re 1.193 * [taylor]: Taking taylor expansion of im in re 1.194 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.194 * [taylor]: Taking taylor expansion of 2.0 in re 1.195 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 1.195 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 1.195 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.195 * [taylor]: Taking taylor expansion of re in re 1.195 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.195 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.195 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.195 * [taylor]: Taking taylor expansion of (* re re) in re 1.195 * [taylor]: Taking taylor expansion of re in re 1.195 * [taylor]: Taking taylor expansion of re in re 1.195 * [taylor]: Taking taylor expansion of (* im im) in re 1.195 * [taylor]: Taking taylor expansion of im in re 1.195 * [taylor]: Taking taylor expansion of im in re 1.196 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.196 * [taylor]: Taking taylor expansion of 2.0 in re 1.197 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 1.197 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.197 * [taylor]: Taking taylor expansion of 2.0 in im 1.198 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.198 * [taylor]: Taking taylor expansion of im in im 1.199 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 1.199 * [taylor]: Taking taylor expansion of 1/2 in im 1.199 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 1.199 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.199 * [taylor]: Taking taylor expansion of 2.0 in im 1.200 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.200 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.200 * [taylor]: Taking taylor expansion of im in im 1.210 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 1.210 * [taylor]: Taking taylor expansion of 1/8 in im 1.210 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 1.210 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.210 * [taylor]: Taking taylor expansion of 2.0 in im 1.211 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 1.211 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 1.211 * [taylor]: Taking taylor expansion of (pow im 3) in im 1.211 * [taylor]: Taking taylor expansion of im in im 1.225 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in (re im) around 0 1.225 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in im 1.225 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 1.225 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 1.225 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.225 * [taylor]: Taking taylor expansion of re in im 1.225 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.225 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.225 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.225 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.225 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.225 * [taylor]: Taking taylor expansion of re in im 1.225 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.225 * [taylor]: Taking taylor expansion of re in im 1.225 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.225 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.225 * [taylor]: Taking taylor expansion of im in im 1.226 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.226 * [taylor]: Taking taylor expansion of im in im 1.229 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.229 * [taylor]: Taking taylor expansion of 2.0 in im 1.230 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 1.230 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 1.230 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.230 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.230 * [taylor]: Taking taylor expansion of re in re 1.230 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.230 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.230 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.230 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.230 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.230 * [taylor]: Taking taylor expansion of re in re 1.230 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.231 * [taylor]: Taking taylor expansion of re in re 1.231 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.231 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.231 * [taylor]: Taking taylor expansion of im in re 1.231 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.231 * [taylor]: Taking taylor expansion of im in re 1.234 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.234 * [taylor]: Taking taylor expansion of 2.0 in re 1.235 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 1.235 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 1.235 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.235 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.235 * [taylor]: Taking taylor expansion of re in re 1.235 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.235 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.235 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.235 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.235 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.235 * [taylor]: Taking taylor expansion of re in re 1.235 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.235 * [taylor]: Taking taylor expansion of re in re 1.236 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.236 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.236 * [taylor]: Taking taylor expansion of im in re 1.236 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.236 * [taylor]: Taking taylor expansion of im in re 1.239 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.239 * [taylor]: Taking taylor expansion of 2.0 in re 1.240 * [taylor]: Taking taylor expansion of 0 in im 1.241 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.241 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.241 * [taylor]: Taking taylor expansion of +nan.0 in im 1.241 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.241 * [taylor]: Taking taylor expansion of 2.0 in im 1.247 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.247 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.247 * [taylor]: Taking taylor expansion of +nan.0 in im 1.247 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.247 * [taylor]: Taking taylor expansion of 2.0 in im 1.255 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 1.255 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 1.255 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.255 * [taylor]: Taking taylor expansion of +nan.0 in im 1.255 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.255 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.255 * [taylor]: Taking taylor expansion of 2.0 in im 1.256 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.256 * [taylor]: Taking taylor expansion of im in im 1.256 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.256 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.257 * [taylor]: Taking taylor expansion of +nan.0 in im 1.257 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.257 * [taylor]: Taking taylor expansion of 2.0 in im 1.270 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 1.271 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 1.271 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.271 * [taylor]: Taking taylor expansion of +nan.0 in im 1.271 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.271 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.271 * [taylor]: Taking taylor expansion of 2.0 in im 1.271 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.271 * [taylor]: Taking taylor expansion of im in im 1.272 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.272 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.272 * [taylor]: Taking taylor expansion of +nan.0 in im 1.272 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.272 * [taylor]: Taking taylor expansion of 2.0 in im 1.284 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 1.284 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 1.284 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.284 * [taylor]: Taking taylor expansion of 2.0 in im 1.285 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 1.285 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.285 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.285 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.285 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.285 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.285 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.285 * [taylor]: Taking taylor expansion of -1 in im 1.285 * [taylor]: Taking taylor expansion of re in im 1.285 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.285 * [taylor]: Taking taylor expansion of -1 in im 1.285 * [taylor]: Taking taylor expansion of re in im 1.285 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.285 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.285 * [taylor]: Taking taylor expansion of -1 in im 1.285 * [taylor]: Taking taylor expansion of im in im 1.285 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.285 * [taylor]: Taking taylor expansion of -1 in im 1.285 * [taylor]: Taking taylor expansion of im in im 1.288 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.288 * [taylor]: Taking taylor expansion of re in im 1.289 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 1.289 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.289 * [taylor]: Taking taylor expansion of 2.0 in re 1.290 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.290 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.290 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.290 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.290 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.290 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.290 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.290 * [taylor]: Taking taylor expansion of -1 in re 1.290 * [taylor]: Taking taylor expansion of re in re 1.290 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.290 * [taylor]: Taking taylor expansion of -1 in re 1.290 * [taylor]: Taking taylor expansion of re in re 1.291 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.291 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.291 * [taylor]: Taking taylor expansion of -1 in re 1.291 * [taylor]: Taking taylor expansion of im in re 1.291 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.291 * [taylor]: Taking taylor expansion of -1 in re 1.291 * [taylor]: Taking taylor expansion of im in re 1.293 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.293 * [taylor]: Taking taylor expansion of re in re 1.298 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 1.298 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.298 * [taylor]: Taking taylor expansion of 2.0 in re 1.299 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.299 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.299 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.299 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.299 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.299 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.299 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.299 * [taylor]: Taking taylor expansion of -1 in re 1.299 * [taylor]: Taking taylor expansion of re in re 1.299 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.299 * [taylor]: Taking taylor expansion of -1 in re 1.299 * [taylor]: Taking taylor expansion of re in re 1.299 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.299 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.299 * [taylor]: Taking taylor expansion of -1 in re 1.299 * [taylor]: Taking taylor expansion of im in re 1.299 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.299 * [taylor]: Taking taylor expansion of -1 in re 1.299 * [taylor]: Taking taylor expansion of im in re 1.302 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.302 * [taylor]: Taking taylor expansion of re in re 1.307 * [taylor]: Taking taylor expansion of 0 in im 1.308 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 1.308 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.308 * [taylor]: Taking taylor expansion of +nan.0 in im 1.308 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.308 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.308 * [taylor]: Taking taylor expansion of 2.0 in im 1.308 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.308 * [taylor]: Taking taylor expansion of im in im 1.315 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 1.316 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.316 * [taylor]: Taking taylor expansion of +nan.0 in im 1.316 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.316 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.316 * [taylor]: Taking taylor expansion of 2.0 in im 1.316 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.316 * [taylor]: Taking taylor expansion of im in im 1.332 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 1.332 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 1.332 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.332 * [taylor]: Taking taylor expansion of +nan.0 in im 1.332 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.332 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.332 * [taylor]: Taking taylor expansion of 2.0 in im 1.332 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.332 * [taylor]: Taking taylor expansion of im in im 1.333 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 1.333 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 1.333 * [taylor]: Taking taylor expansion of +nan.0 in im 1.333 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 1.333 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.333 * [taylor]: Taking taylor expansion of 2.0 in im 1.334 * [taylor]: Taking taylor expansion of (pow im 6) in im 1.334 * [taylor]: Taking taylor expansion of im in im 1.358 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2) 1.358 * [approximate]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in (re im) around 0 1.358 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 1.358 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.358 * [taylor]: Taking taylor expansion of re in im 1.358 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.358 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.358 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.358 * [taylor]: Taking taylor expansion of (* re re) in im 1.359 * [taylor]: Taking taylor expansion of re in im 1.359 * [taylor]: Taking taylor expansion of re in im 1.359 * [taylor]: Taking taylor expansion of (* im im) in im 1.359 * [taylor]: Taking taylor expansion of im in im 1.359 * [taylor]: Taking taylor expansion of im in im 1.360 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 1.360 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.360 * [taylor]: Taking taylor expansion of re in re 1.360 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.360 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.360 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.360 * [taylor]: Taking taylor expansion of (* re re) in re 1.360 * [taylor]: Taking taylor expansion of re in re 1.360 * [taylor]: Taking taylor expansion of re in re 1.360 * [taylor]: Taking taylor expansion of (* im im) in re 1.360 * [taylor]: Taking taylor expansion of im in re 1.360 * [taylor]: Taking taylor expansion of im in re 1.361 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 1.361 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.361 * [taylor]: Taking taylor expansion of re in re 1.362 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.362 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.362 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.362 * [taylor]: Taking taylor expansion of (* re re) in re 1.362 * [taylor]: Taking taylor expansion of re in re 1.362 * [taylor]: Taking taylor expansion of re in re 1.362 * [taylor]: Taking taylor expansion of (* im im) in re 1.362 * [taylor]: Taking taylor expansion of im in re 1.362 * [taylor]: Taking taylor expansion of im in re 1.363 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.363 * [taylor]: Taking taylor expansion of im in im 1.364 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 im))) in im 1.364 * [taylor]: Taking taylor expansion of 1/2 in im 1.364 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.364 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.364 * [taylor]: Taking taylor expansion of im in im 1.368 * [taylor]: Taking taylor expansion of (* 1/8 (sqrt (/ 1 (pow im 3)))) in im 1.368 * [taylor]: Taking taylor expansion of 1/8 in im 1.368 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 1.368 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 1.368 * [taylor]: Taking taylor expansion of (pow im 3) in im 1.368 * [taylor]: Taking taylor expansion of im in im 1.374 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in (re im) around 0 1.374 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 1.374 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 1.374 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.374 * [taylor]: Taking taylor expansion of re in im 1.374 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.374 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.374 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.374 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.374 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.374 * [taylor]: Taking taylor expansion of re in im 1.375 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.375 * [taylor]: Taking taylor expansion of re in im 1.375 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.375 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.375 * [taylor]: Taking taylor expansion of im in im 1.375 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.375 * [taylor]: Taking taylor expansion of im in im 1.378 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 1.378 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.378 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.378 * [taylor]: Taking taylor expansion of re in re 1.379 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.379 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.379 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.379 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.379 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.379 * [taylor]: Taking taylor expansion of re in re 1.379 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.379 * [taylor]: Taking taylor expansion of re in re 1.379 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.379 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.379 * [taylor]: Taking taylor expansion of im in re 1.379 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.379 * [taylor]: Taking taylor expansion of im in re 1.383 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 1.383 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.383 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.383 * [taylor]: Taking taylor expansion of re in re 1.383 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.383 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.383 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.383 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.383 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.383 * [taylor]: Taking taylor expansion of re in re 1.383 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.383 * [taylor]: Taking taylor expansion of re in re 1.384 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.384 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.384 * [taylor]: Taking taylor expansion of im in re 1.384 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.384 * [taylor]: Taking taylor expansion of im in re 1.387 * [taylor]: Taking taylor expansion of 0 in im 1.387 * [taylor]: Taking taylor expansion of +nan.0 in im 1.389 * [taylor]: Taking taylor expansion of +nan.0 in im 1.393 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 1.393 * [taylor]: Taking taylor expansion of +nan.0 in im 1.393 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 1.393 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.393 * [taylor]: Taking taylor expansion of 1/2 in im 1.393 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.393 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.393 * [taylor]: Taking taylor expansion of im in im 1.394 * [taylor]: Taking taylor expansion of +nan.0 in im 1.399 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 1.399 * [taylor]: Taking taylor expansion of +nan.0 in im 1.399 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 1.400 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 1.400 * [taylor]: Taking taylor expansion of +nan.0 in im 1.400 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.400 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.400 * [taylor]: Taking taylor expansion of im in im 1.400 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.400 * [taylor]: Taking taylor expansion of +nan.0 in im 1.406 * [approximate]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in (re im) around 0 1.406 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 1.406 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.406 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.407 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.407 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.407 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.407 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.407 * [taylor]: Taking taylor expansion of -1 in im 1.407 * [taylor]: Taking taylor expansion of re in im 1.407 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.407 * [taylor]: Taking taylor expansion of -1 in im 1.407 * [taylor]: Taking taylor expansion of re in im 1.407 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.407 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.407 * [taylor]: Taking taylor expansion of -1 in im 1.407 * [taylor]: Taking taylor expansion of im in im 1.407 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.407 * [taylor]: Taking taylor expansion of -1 in im 1.407 * [taylor]: Taking taylor expansion of im in im 1.410 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.410 * [taylor]: Taking taylor expansion of re in im 1.411 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.411 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.411 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.411 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.411 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.411 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.411 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.411 * [taylor]: Taking taylor expansion of -1 in re 1.411 * [taylor]: Taking taylor expansion of re in re 1.411 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.411 * [taylor]: Taking taylor expansion of -1 in re 1.411 * [taylor]: Taking taylor expansion of re in re 1.412 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.412 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.412 * [taylor]: Taking taylor expansion of -1 in re 1.412 * [taylor]: Taking taylor expansion of im in re 1.412 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.412 * [taylor]: Taking taylor expansion of -1 in re 1.412 * [taylor]: Taking taylor expansion of im in re 1.414 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.414 * [taylor]: Taking taylor expansion of re in re 1.419 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.419 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.419 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.419 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.419 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.419 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.419 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.419 * [taylor]: Taking taylor expansion of -1 in re 1.419 * [taylor]: Taking taylor expansion of re in re 1.419 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.420 * [taylor]: Taking taylor expansion of -1 in re 1.420 * [taylor]: Taking taylor expansion of re in re 1.420 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.420 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.420 * [taylor]: Taking taylor expansion of -1 in re 1.420 * [taylor]: Taking taylor expansion of im in re 1.420 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.420 * [taylor]: Taking taylor expansion of -1 in re 1.420 * [taylor]: Taking taylor expansion of im in re 1.422 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.422 * [taylor]: Taking taylor expansion of re in re 1.427 * [taylor]: Taking taylor expansion of 0 in im 1.427 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 2)) in im 1.427 * [taylor]: Taking taylor expansion of +nan.0 in im 1.427 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.427 * [taylor]: Taking taylor expansion of im in im 1.437 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 4)) in im 1.437 * [taylor]: Taking taylor expansion of +nan.0 in im 1.438 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.438 * [taylor]: Taking taylor expansion of im in im 1.447 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6)))))) in im 1.447 * [taylor]: Taking taylor expansion of +nan.0 in im 1.447 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))) in im 1.447 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow im 4))) in im 1.447 * [taylor]: Taking taylor expansion of 1/8 in im 1.447 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 1.447 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.447 * [taylor]: Taking taylor expansion of im in im 1.448 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow im 6)))) in im 1.448 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 6))) in im 1.448 * [taylor]: Taking taylor expansion of +nan.0 in im 1.448 * [taylor]: Taking taylor expansion of (/ 1 (pow im 6)) in im 1.448 * [taylor]: Taking taylor expansion of (pow im 6) in im 1.448 * [taylor]: Taking taylor expansion of im in im 1.470 * * * [progress]: simplifying candidates 1.471 * [simplify]: Simplifying using # : (expm1 (+ (hypot re im) re)) (log1p (+ (hypot re im) re)) (* (exp (hypot re im)) (exp re)) (log (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))) (cbrt (+ (hypot re im) re)) (* (* (+ (hypot re im) re) (+ (hypot re im) re)) (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (+ (pow (hypot re im) 3) (pow re 3)) (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re))) (- (* (hypot re im) (hypot re im)) (* re re)) (- (hypot re im) re) (+ (hypot re im) re) (expm1 (* (sqrt 2.0) (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 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 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))) (+ re im) (* 2 re) 0 (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0 (- (+ (* +nan.0 (pow re 2)) (- (+ (* +nan.0 im) (- (* +nan.0 re)))))) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) 0 1.475 * * [simplify]: iteration 0 : 287 enodes (cost 433 ) 1.480 * * [simplify]: iteration 1 : 995 enodes (cost 403 ) 1.501 * * [simplify]: iteration 2 : 4338 enodes (cost 388 ) 1.575 * * [simplify]: iteration 3 : 5001 enodes (cost 387 ) 1.577 * [simplify]: Simplified to: (expm1 (+ (hypot re im) re)) (log1p (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (log (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))) (cbrt (+ (hypot re im) re)) (pow (+ (hypot re im) re) 3) (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (+ (pow (hypot re im) 3) (pow re 3)) (fma (hypot re im) (- (hypot re im) re) (pow re 2)) (- (* (hypot re im) (hypot re im)) (* re re)) (- (hypot re im) re) (+ (hypot re im) re) (expm1 (* (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 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) (hypot (pow re 3/2) (pow (hypot re im) 3/2))) (* (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)) 1 (sqrt (+ (hypot re im) re)) (hypot (pow re 3/2) (pow (hypot re im) 3/2)) (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))) (+ re im) (* 2 re) 0 (* (* +nan.0 (sqrt 2.0)) (+ (- (* re re)) (- im re))) (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) 0 (fma (- (* re re)) +nan.0 (* +nan.0 (- im re))) (- (- (/ +nan.0 re) +nan.0) (/ +nan.0 (pow re 2))) 0 1.577 * * * [progress]: adding candidates to table 1.756 * * [progress]: iteration 4 / 4 1.756 * * * [progress]: picking best candidate 1.767 * * * * [pick]: Picked # 1.767 * * * [progress]: localizing error 1.780 * * * [progress]: generating rewritten candidates 1.780 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 2) 1.780 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 1.786 * * * [progress]: generating series expansions 1.786 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 2) 1.786 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in (re im) around 0 1.786 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in im 1.786 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 1.786 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in im 1.786 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 1.786 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.786 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.786 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.786 * [taylor]: Taking taylor expansion of (* re re) in im 1.786 * [taylor]: Taking taylor expansion of re in im 1.786 * [taylor]: Taking taylor expansion of re in im 1.786 * [taylor]: Taking taylor expansion of (* im im) in im 1.786 * [taylor]: Taking taylor expansion of im in im 1.786 * [taylor]: Taking taylor expansion of im in im 1.787 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 1.787 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.788 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.788 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.788 * [taylor]: Taking taylor expansion of (* re re) in im 1.788 * [taylor]: Taking taylor expansion of re in im 1.788 * [taylor]: Taking taylor expansion of re in im 1.788 * [taylor]: Taking taylor expansion of (* im im) in im 1.788 * [taylor]: Taking taylor expansion of im in im 1.788 * [taylor]: Taking taylor expansion of im in im 1.789 * [taylor]: Taking taylor expansion of re in im 1.789 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in re 1.789 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 1.789 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 1.789 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.789 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.789 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.789 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.789 * [taylor]: Taking taylor expansion of (* re re) in re 1.789 * [taylor]: Taking taylor expansion of re in re 1.789 * [taylor]: Taking taylor expansion of re in re 1.789 * [taylor]: Taking taylor expansion of (* im im) in re 1.789 * [taylor]: Taking taylor expansion of im in re 1.789 * [taylor]: Taking taylor expansion of im in re 1.790 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.790 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.790 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.790 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.790 * [taylor]: Taking taylor expansion of (* re re) in re 1.790 * [taylor]: Taking taylor expansion of re in re 1.790 * [taylor]: Taking taylor expansion of re in re 1.790 * [taylor]: Taking taylor expansion of (* im im) in re 1.790 * [taylor]: Taking taylor expansion of im in re 1.790 * [taylor]: Taking taylor expansion of im in re 1.791 * [taylor]: Taking taylor expansion of re in re 1.792 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in re 1.792 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 1.792 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 1.792 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.792 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.792 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.792 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.792 * [taylor]: Taking taylor expansion of (* re re) in re 1.792 * [taylor]: Taking taylor expansion of re in re 1.792 * [taylor]: Taking taylor expansion of re in re 1.792 * [taylor]: Taking taylor expansion of (* im im) in re 1.792 * [taylor]: Taking taylor expansion of im in re 1.792 * [taylor]: Taking taylor expansion of im in re 1.793 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.793 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.793 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.793 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.793 * [taylor]: Taking taylor expansion of (* re re) in re 1.793 * [taylor]: Taking taylor expansion of re in re 1.793 * [taylor]: Taking taylor expansion of re in re 1.793 * [taylor]: Taking taylor expansion of (* im im) in re 1.793 * [taylor]: Taking taylor expansion of im in re 1.793 * [taylor]: Taking taylor expansion of im in re 1.794 * [taylor]: Taking taylor expansion of re in re 1.794 * [taylor]: Taking taylor expansion of im in im 1.795 * [taylor]: Taking taylor expansion of 1 in im 1.799 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.799 * [taylor]: Taking taylor expansion of 1/2 in im 1.799 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.799 * [taylor]: Taking taylor expansion of im in im 1.803 * [taylor]: Taking taylor expansion of 0 in im 1.804 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in (re im) around 0 1.804 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in im 1.804 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) 1.804 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in im 1.804 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 1.804 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.804 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.804 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.804 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.804 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.804 * [taylor]: Taking taylor expansion of re in im 1.804 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.804 * [taylor]: Taking taylor expansion of re in im 1.805 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.805 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.805 * [taylor]: Taking taylor expansion of im in im 1.805 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.805 * [taylor]: Taking taylor expansion of im in im 1.808 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 1.808 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.808 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.808 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.808 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.808 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.808 * [taylor]: Taking taylor expansion of re in im 1.808 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.808 * [taylor]: Taking taylor expansion of re in im 1.808 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.808 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.808 * [taylor]: Taking taylor expansion of im in im 1.809 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.809 * [taylor]: Taking taylor expansion of im in im 1.812 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.812 * [taylor]: Taking taylor expansion of re in im 1.812 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in re 1.812 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) 1.812 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 1.812 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.812 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.812 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.812 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.812 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.812 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.812 * [taylor]: Taking taylor expansion of re in re 1.813 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.813 * [taylor]: Taking taylor expansion of re in re 1.813 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.813 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.813 * [taylor]: Taking taylor expansion of im in re 1.813 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.813 * [taylor]: Taking taylor expansion of im in re 1.816 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.816 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.816 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.816 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.816 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.816 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.816 * [taylor]: Taking taylor expansion of re in re 1.816 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.816 * [taylor]: Taking taylor expansion of re in re 1.817 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.817 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.817 * [taylor]: Taking taylor expansion of im in re 1.817 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.817 * [taylor]: Taking taylor expansion of im in re 1.820 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.820 * [taylor]: Taking taylor expansion of re in re 1.820 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in re 1.820 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) 1.820 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 1.820 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.820 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.820 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.820 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.820 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.820 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.820 * [taylor]: Taking taylor expansion of re in re 1.821 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.821 * [taylor]: Taking taylor expansion of re in re 1.821 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.821 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.821 * [taylor]: Taking taylor expansion of im in re 1.821 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.821 * [taylor]: Taking taylor expansion of im in re 1.824 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.824 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.824 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.824 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.824 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.824 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.824 * [taylor]: Taking taylor expansion of re in re 1.824 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.824 * [taylor]: Taking taylor expansion of re in re 1.825 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.825 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.825 * [taylor]: Taking taylor expansion of im in re 1.825 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.825 * [taylor]: Taking taylor expansion of im in re 1.828 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.828 * [taylor]: Taking taylor expansion of re in re 1.829 * [taylor]: Taking taylor expansion of 0 in im 1.829 * [taylor]: Taking taylor expansion of 1 in im 1.835 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.835 * [taylor]: Taking taylor expansion of +nan.0 in im 1.843 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.843 * [taylor]: Taking taylor expansion of +nan.0 in im 1.851 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 1.851 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 1.851 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 1.851 * [taylor]: Taking taylor expansion of +nan.0 in im 1.851 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.851 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.851 * [taylor]: Taking taylor expansion of im in im 1.852 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.852 * [taylor]: Taking taylor expansion of +nan.0 in im 1.854 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in (re im) around 0 1.854 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in im 1.854 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ -1 re)) 1.854 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in im 1.854 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 1.854 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.854 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.854 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.854 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.854 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.854 * [taylor]: Taking taylor expansion of -1 in im 1.854 * [taylor]: Taking taylor expansion of re in im 1.854 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.855 * [taylor]: Taking taylor expansion of -1 in im 1.855 * [taylor]: Taking taylor expansion of re in im 1.855 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.855 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.855 * [taylor]: Taking taylor expansion of -1 in im 1.855 * [taylor]: Taking taylor expansion of im in im 1.855 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.855 * [taylor]: Taking taylor expansion of -1 in im 1.855 * [taylor]: Taking taylor expansion of im in im 1.863 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 1.863 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.864 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.864 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.864 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.864 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.864 * [taylor]: Taking taylor expansion of -1 in im 1.864 * [taylor]: Taking taylor expansion of re in im 1.864 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.864 * [taylor]: Taking taylor expansion of -1 in im 1.864 * [taylor]: Taking taylor expansion of re in im 1.864 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.864 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.864 * [taylor]: Taking taylor expansion of -1 in im 1.864 * [taylor]: Taking taylor expansion of im in im 1.864 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.864 * [taylor]: Taking taylor expansion of -1 in im 1.864 * [taylor]: Taking taylor expansion of im in im 1.867 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.868 * [taylor]: Taking taylor expansion of -1 in im 1.868 * [taylor]: Taking taylor expansion of re in im 1.868 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in re 1.868 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ -1 re)) 1.868 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 1.868 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.868 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.868 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.868 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.868 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.868 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.868 * [taylor]: Taking taylor expansion of -1 in re 1.868 * [taylor]: Taking taylor expansion of re in re 1.868 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.868 * [taylor]: Taking taylor expansion of -1 in re 1.868 * [taylor]: Taking taylor expansion of re in re 1.868 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.869 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.869 * [taylor]: Taking taylor expansion of -1 in re 1.869 * [taylor]: Taking taylor expansion of im in re 1.869 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.869 * [taylor]: Taking taylor expansion of -1 in re 1.869 * [taylor]: Taking taylor expansion of im in re 1.872 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.872 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.872 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.872 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.872 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.872 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.872 * [taylor]: Taking taylor expansion of -1 in re 1.872 * [taylor]: Taking taylor expansion of re in re 1.872 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.872 * [taylor]: Taking taylor expansion of -1 in re 1.872 * [taylor]: Taking taylor expansion of re in re 1.873 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.873 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.873 * [taylor]: Taking taylor expansion of -1 in re 1.873 * [taylor]: Taking taylor expansion of im in re 1.873 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.873 * [taylor]: Taking taylor expansion of -1 in re 1.873 * [taylor]: Taking taylor expansion of im in re 1.876 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.876 * [taylor]: Taking taylor expansion of -1 in re 1.876 * [taylor]: Taking taylor expansion of re in re 1.876 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in re 1.876 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ -1 re)) 1.876 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 1.876 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.876 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.876 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.876 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.876 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.876 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.876 * [taylor]: Taking taylor expansion of -1 in re 1.876 * [taylor]: Taking taylor expansion of re in re 1.877 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.877 * [taylor]: Taking taylor expansion of -1 in re 1.877 * [taylor]: Taking taylor expansion of re in re 1.877 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.877 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.877 * [taylor]: Taking taylor expansion of -1 in re 1.877 * [taylor]: Taking taylor expansion of im in re 1.877 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.877 * [taylor]: Taking taylor expansion of -1 in re 1.877 * [taylor]: Taking taylor expansion of im in re 1.881 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.881 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.881 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.881 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.881 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.881 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.881 * [taylor]: Taking taylor expansion of -1 in re 1.881 * [taylor]: Taking taylor expansion of re in re 1.881 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.881 * [taylor]: Taking taylor expansion of -1 in re 1.881 * [taylor]: Taking taylor expansion of re in re 1.881 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.881 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.881 * [taylor]: Taking taylor expansion of -1 in re 1.881 * [taylor]: Taking taylor expansion of im in re 1.881 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.881 * [taylor]: Taking taylor expansion of -1 in re 1.881 * [taylor]: Taking taylor expansion of im in re 1.885 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.885 * [taylor]: Taking taylor expansion of -1 in re 1.885 * [taylor]: Taking taylor expansion of re in re 1.885 * [taylor]: Taking taylor expansion of 0 in im 1.886 * [taylor]: Taking taylor expansion of -1 in im 1.891 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.891 * [taylor]: Taking taylor expansion of +nan.0 in im 1.899 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.899 * [taylor]: Taking taylor expansion of +nan.0 in im 1.907 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 1.907 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 1.907 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 1.907 * [taylor]: Taking taylor expansion of +nan.0 in im 1.907 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.907 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.908 * [taylor]: Taking taylor expansion of im in im 1.908 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.908 * [taylor]: Taking taylor expansion of +nan.0 in im 1.910 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 1.910 * [approximate]: Taking taylor expansion of (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt 2.0)) in (re im) around 0 1.910 * [taylor]: Taking taylor expansion of (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt 2.0)) in im 1.910 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) in im 1.910 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in im 1.910 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 1.911 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in im 1.911 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 1.911 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.911 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.911 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.911 * [taylor]: Taking taylor expansion of (* re re) in im 1.911 * [taylor]: Taking taylor expansion of re in im 1.911 * [taylor]: Taking taylor expansion of re in im 1.911 * [taylor]: Taking taylor expansion of (* im im) in im 1.911 * [taylor]: Taking taylor expansion of im in im 1.911 * [taylor]: Taking taylor expansion of im in im 1.912 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 1.912 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.912 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.912 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.912 * [taylor]: Taking taylor expansion of (* re re) in im 1.912 * [taylor]: Taking taylor expansion of re in im 1.912 * [taylor]: Taking taylor expansion of re in im 1.912 * [taylor]: Taking taylor expansion of (* im im) in im 1.912 * [taylor]: Taking taylor expansion of im in im 1.912 * [taylor]: Taking taylor expansion of im in im 1.913 * [taylor]: Taking taylor expansion of re in im 1.913 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.913 * [taylor]: Taking taylor expansion of 2.0 in im 1.914 * [taylor]: Taking taylor expansion of (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt 2.0)) in re 1.914 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) in re 1.914 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in re 1.914 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 1.914 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 1.914 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.914 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.914 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.914 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.914 * [taylor]: Taking taylor expansion of (* re re) in re 1.914 * [taylor]: Taking taylor expansion of re in re 1.914 * [taylor]: Taking taylor expansion of re in re 1.914 * [taylor]: Taking taylor expansion of (* im im) in re 1.914 * [taylor]: Taking taylor expansion of im in re 1.915 * [taylor]: Taking taylor expansion of im in re 1.916 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.916 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.916 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.916 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.916 * [taylor]: Taking taylor expansion of (* re re) in re 1.916 * [taylor]: Taking taylor expansion of re in re 1.916 * [taylor]: Taking taylor expansion of re in re 1.916 * [taylor]: Taking taylor expansion of (* im im) in re 1.916 * [taylor]: Taking taylor expansion of im in re 1.916 * [taylor]: Taking taylor expansion of im in re 1.917 * [taylor]: Taking taylor expansion of re in re 1.918 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.918 * [taylor]: Taking taylor expansion of 2.0 in re 1.918 * [taylor]: Taking taylor expansion of (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt 2.0)) in re 1.918 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) in re 1.918 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in re 1.918 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 1.918 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 1.918 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.918 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.918 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.918 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.919 * [taylor]: Taking taylor expansion of (* re re) in re 1.919 * [taylor]: Taking taylor expansion of re in re 1.919 * [taylor]: Taking taylor expansion of re in re 1.919 * [taylor]: Taking taylor expansion of (* im im) in re 1.919 * [taylor]: Taking taylor expansion of im in re 1.919 * [taylor]: Taking taylor expansion of im in re 1.920 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.920 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.920 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.920 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.920 * [taylor]: Taking taylor expansion of (* re re) in re 1.920 * [taylor]: Taking taylor expansion of re in re 1.920 * [taylor]: Taking taylor expansion of re in re 1.920 * [taylor]: Taking taylor expansion of (* im im) in re 1.920 * [taylor]: Taking taylor expansion of im in re 1.920 * [taylor]: Taking taylor expansion of im in re 1.921 * [taylor]: Taking taylor expansion of re in re 1.921 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.921 * [taylor]: Taking taylor expansion of 2.0 in re 1.922 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 1.922 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.922 * [taylor]: Taking taylor expansion of 2.0 in im 1.923 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.923 * [taylor]: Taking taylor expansion of im in im 1.924 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 1.924 * [taylor]: Taking taylor expansion of 1/2 in im 1.924 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 1.924 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.924 * [taylor]: Taking taylor expansion of 2.0 in im 1.925 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.925 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.925 * [taylor]: Taking taylor expansion of im in im 1.938 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 1.938 * [taylor]: Taking taylor expansion of 1/8 in im 1.938 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 1.938 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.938 * [taylor]: Taking taylor expansion of 2.0 in im 1.938 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 1.938 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 1.938 * [taylor]: Taking taylor expansion of (pow im 3) in im 1.938 * [taylor]: Taking taylor expansion of im in im 1.957 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)))) in (re im) around 0 1.957 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)))) in im 1.957 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.957 * [taylor]: Taking taylor expansion of 2.0 in im 1.958 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re))) in im 1.958 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in im 1.958 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) 1.958 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in im 1.958 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 1.958 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.958 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.958 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.958 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.958 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.958 * [taylor]: Taking taylor expansion of re in im 1.958 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.958 * [taylor]: Taking taylor expansion of re in im 1.958 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.958 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.958 * [taylor]: Taking taylor expansion of im in im 1.958 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.958 * [taylor]: Taking taylor expansion of im in im 1.962 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 1.962 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.962 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.962 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.962 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.962 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.962 * [taylor]: Taking taylor expansion of re in im 1.962 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.962 * [taylor]: Taking taylor expansion of re in im 1.962 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.962 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.962 * [taylor]: Taking taylor expansion of im in im 1.962 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.962 * [taylor]: Taking taylor expansion of im in im 1.966 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.966 * [taylor]: Taking taylor expansion of re in im 1.979 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)))) in re 1.979 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.979 * [taylor]: Taking taylor expansion of 2.0 in re 1.980 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re))) in re 1.980 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in re 1.980 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) 1.980 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 1.980 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.980 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.980 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.980 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.980 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.980 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.980 * [taylor]: Taking taylor expansion of re in re 1.980 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.980 * [taylor]: Taking taylor expansion of re in re 1.981 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.981 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.981 * [taylor]: Taking taylor expansion of im in re 1.981 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.981 * [taylor]: Taking taylor expansion of im in re 1.984 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.984 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.984 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.984 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.984 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.984 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.984 * [taylor]: Taking taylor expansion of re in re 1.984 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.984 * [taylor]: Taking taylor expansion of re in re 1.985 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.985 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.985 * [taylor]: Taking taylor expansion of im in re 1.985 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.985 * [taylor]: Taking taylor expansion of im in re 1.988 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.988 * [taylor]: Taking taylor expansion of re in re 1.990 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)))) in re 1.990 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.990 * [taylor]: Taking taylor expansion of 2.0 in re 1.990 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re))) in re 1.990 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in re 1.990 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) 1.991 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 1.991 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.991 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.991 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.991 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.991 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.991 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.991 * [taylor]: Taking taylor expansion of re in re 1.991 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.991 * [taylor]: Taking taylor expansion of re in re 1.991 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.991 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.991 * [taylor]: Taking taylor expansion of im in re 1.991 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.991 * [taylor]: Taking taylor expansion of im in re 1.994 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.994 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.994 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.994 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.994 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.995 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.995 * [taylor]: Taking taylor expansion of re in re 1.995 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.995 * [taylor]: Taking taylor expansion of re in re 1.995 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.995 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.995 * [taylor]: Taking taylor expansion of im in re 1.995 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.995 * [taylor]: Taking taylor expansion of im in re 1.998 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.998 * [taylor]: Taking taylor expansion of re in re 2.000 * [taylor]: Taking taylor expansion of 0 in im 2.002 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 2.002 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.002 * [taylor]: Taking taylor expansion of +nan.0 in im 2.002 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.002 * [taylor]: Taking taylor expansion of 2.0 in im 2.014 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 2.014 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.014 * [taylor]: Taking taylor expansion of +nan.0 in im 2.014 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.014 * [taylor]: Taking taylor expansion of 2.0 in im 2.029 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 2.029 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.030 * [taylor]: Taking taylor expansion of +nan.0 in im 2.030 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.030 * [taylor]: Taking taylor expansion of 2.0 in im 2.041 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)))) in (re im) around 0 2.041 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)))) in im 2.041 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.041 * [taylor]: Taking taylor expansion of 2.0 in im 2.041 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re))) in im 2.041 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in im 2.042 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ -1 re)) 2.042 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in im 2.042 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 2.042 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.042 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.042 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.042 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.042 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.042 * [taylor]: Taking taylor expansion of -1 in im 2.042 * [taylor]: Taking taylor expansion of re in im 2.042 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.042 * [taylor]: Taking taylor expansion of -1 in im 2.042 * [taylor]: Taking taylor expansion of re in im 2.042 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.042 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.042 * [taylor]: Taking taylor expansion of -1 in im 2.042 * [taylor]: Taking taylor expansion of im in im 2.042 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.042 * [taylor]: Taking taylor expansion of -1 in im 2.042 * [taylor]: Taking taylor expansion of im in im 2.046 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 2.046 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.046 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.046 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.046 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.046 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.046 * [taylor]: Taking taylor expansion of -1 in im 2.046 * [taylor]: Taking taylor expansion of re in im 2.046 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.046 * [taylor]: Taking taylor expansion of -1 in im 2.046 * [taylor]: Taking taylor expansion of re in im 2.046 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.046 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.046 * [taylor]: Taking taylor expansion of -1 in im 2.046 * [taylor]: Taking taylor expansion of im in im 2.046 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.046 * [taylor]: Taking taylor expansion of -1 in im 2.046 * [taylor]: Taking taylor expansion of im in im 2.050 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.050 * [taylor]: Taking taylor expansion of -1 in im 2.050 * [taylor]: Taking taylor expansion of re in im 2.064 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)))) in re 2.064 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.064 * [taylor]: Taking taylor expansion of 2.0 in re 2.064 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re))) in re 2.065 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in re 2.065 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ -1 re)) 2.065 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 2.065 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 2.065 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.065 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.065 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.065 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.065 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.065 * [taylor]: Taking taylor expansion of -1 in re 2.065 * [taylor]: Taking taylor expansion of re in re 2.065 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.065 * [taylor]: Taking taylor expansion of -1 in re 2.065 * [taylor]: Taking taylor expansion of re in re 2.065 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.065 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.065 * [taylor]: Taking taylor expansion of -1 in re 2.065 * [taylor]: Taking taylor expansion of im in re 2.066 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.066 * [taylor]: Taking taylor expansion of -1 in re 2.066 * [taylor]: Taking taylor expansion of im in re 2.069 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 2.069 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.069 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.069 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.069 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.069 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.069 * [taylor]: Taking taylor expansion of -1 in re 2.069 * [taylor]: Taking taylor expansion of re in re 2.069 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.069 * [taylor]: Taking taylor expansion of -1 in re 2.069 * [taylor]: Taking taylor expansion of re in re 2.069 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.069 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.070 * [taylor]: Taking taylor expansion of -1 in re 2.070 * [taylor]: Taking taylor expansion of im in re 2.070 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.070 * [taylor]: Taking taylor expansion of -1 in re 2.070 * [taylor]: Taking taylor expansion of im in re 2.073 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.073 * [taylor]: Taking taylor expansion of -1 in re 2.073 * [taylor]: Taking taylor expansion of re in re 2.075 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)))) in re 2.075 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.075 * [taylor]: Taking taylor expansion of 2.0 in re 2.075 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re))) in re 2.075 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in re 2.076 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ -1 re)) 2.076 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 2.076 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 2.076 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.076 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.076 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.076 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.076 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.076 * [taylor]: Taking taylor expansion of -1 in re 2.076 * [taylor]: Taking taylor expansion of re in re 2.076 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.076 * [taylor]: Taking taylor expansion of -1 in re 2.076 * [taylor]: Taking taylor expansion of re in re 2.076 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.076 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.076 * [taylor]: Taking taylor expansion of -1 in re 2.076 * [taylor]: Taking taylor expansion of im in re 2.076 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.077 * [taylor]: Taking taylor expansion of -1 in re 2.077 * [taylor]: Taking taylor expansion of im in re 2.080 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 2.080 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.080 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.080 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.080 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.080 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.080 * [taylor]: Taking taylor expansion of -1 in re 2.080 * [taylor]: Taking taylor expansion of re in re 2.081 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.081 * [taylor]: Taking taylor expansion of -1 in re 2.081 * [taylor]: Taking taylor expansion of re in re 2.081 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.081 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.081 * [taylor]: Taking taylor expansion of -1 in re 2.081 * [taylor]: Taking taylor expansion of im in re 2.081 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.081 * [taylor]: Taking taylor expansion of -1 in re 2.081 * [taylor]: Taking taylor expansion of im in re 2.084 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.084 * [taylor]: Taking taylor expansion of -1 in re 2.084 * [taylor]: Taking taylor expansion of re in re 2.087 * [taylor]: Taking taylor expansion of 0 in im 2.088 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 2.088 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.088 * [taylor]: Taking taylor expansion of +nan.0 in im 2.088 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.088 * [taylor]: Taking taylor expansion of 2.0 in im 2.100 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 2.100 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.100 * [taylor]: Taking taylor expansion of +nan.0 in im 2.100 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.100 * [taylor]: Taking taylor expansion of 2.0 in im 2.116 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 2.116 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.116 * [taylor]: Taking taylor expansion of +nan.0 in im 2.116 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.116 * [taylor]: Taking taylor expansion of 2.0 in im 2.127 * * * [progress]: simplifying candidates 2.128 * [simplify]: Simplifying using # : (expm1 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (log1p (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (exp (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (* (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (expm1 (sqrt (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)))) (log1p (sqrt (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)))) (log (sqrt (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)))) (exp (sqrt (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)))) (* (cbrt (sqrt (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)))) (cbrt (sqrt (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))))) (cbrt (sqrt (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)))) (* (* (sqrt (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (sqrt (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)))) (sqrt (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)))) (sqrt 2.0) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)))) (+ re im) (- re (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0))) (- re (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0))) (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 2.131 * * [simplify]: iteration 0 : 129 enodes (cost 225 ) 2.134 * * [simplify]: iteration 1 : 378 enodes (cost 193 ) 2.141 * * [simplify]: iteration 2 : 1445 enodes (cost 178 ) 2.170 * * [simplify]: iteration 3 : 5002 enodes (cost 174 ) 2.172 * [simplify]: Simplified to: (expm1 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (log1p (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (hypot re im) (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (* (exp (hypot re im)) (exp re)) (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (pow (+ re (hypot re im)) 3) (hypot (sqrt (hypot re im)) (pow re 1/2)) (hypot (sqrt (hypot re im)) (pow re 1/2)) (expm1 (sqrt (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)))) (log1p (sqrt (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)))) (log (sqrt (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)))) (exp (sqrt (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)))) (* (cbrt (sqrt (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)))) (cbrt (sqrt (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))))) (cbrt (sqrt (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)))) (pow (sqrt (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) 3) (sqrt 2.0) (hypot (sqrt (hypot re im)) (pow re 1/2)) 1/2 1/2 (sqrt (sqrt (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)))) (+ re im) (+ (- re (* +nan.0 (/ (pow im 2) (pow re 2)))) +nan.0) (+ (- re (* +nan.0 (/ (pow im 2) (pow re 2)))) +nan.0) (* (* +nan.0 (sqrt 2.0)) (- (- im re) (pow re 2))) (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) 2.172 * * * [progress]: adding candidates to table 2.246 * [progress]: [Phase 3 of 3] Extracting. 2.246 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 2.248 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re) 2.248 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # # #) 2.309 * * * * [regimes]: Trying to branch on (* im im) from (# #) 2.321 * * * * [regimes]: Trying to branch on im from (# # # # # # # # #) 2.370 * * * * [regimes]: Trying to branch on re from (# # # # # # # # #) 2.410 * * * [regime]: Found split indices: #